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Pre University Board 2007 P.U.C Physics, Chemistry, Maths

Tuesday, 05 February 2013 01:50Web

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New Scheme ( For Students learned during the Years 2005-06 & 2006-07 )

Code No. 33-NS
Total No. of ques. : 40 ] [ Total No. of Printed Pages : 16
March / April, 2007
PHYSICS
( Kannada and English Versions )
( New Syllabus )
Time : three Hours ] [ Max. Marks : 90

Note : i) Numerical issues solved without writing the relevant
formulae carry no marks.
ii) Answers without relevant diagram / figure / circuit wherever
necessary will not carry any marks.
PART – A
I. ans all of the subsequent ques. : 10 × one = 10
1. What is the principle of an optical fibre ?
2. Write the condition for constructive interference in terms of pathdifference.
3. describe specific rotatory power of an optically active solution.
4. Name the scientist who determined the speed of light most
accurately.
5. What happens to the magnitude of the force ranging from 2 charges if a
glass plate is interposed ranging from them ?
6. Mention the S.I. unit of resistivity.
7. Does a neutron experience a force in a magnetic field ?
Code No. 33-NS 10
8. elaborate 'Fraunhofer lines' ?
9. Is proton a Lepton or a Hadron ?
10. Write the logic symbol of NAND gate.
PART – B
II. ans any ten of the subsequent ques. : 10 × two = 20
11. Mention any 2 factors on which lateral shift depends.
12. Name the theories of light in support of its wave nature.
13. compute the resolving power of a telescope whose limit of resolution
is 2·44 × 10 – six rad.
14. State and discuss Gauss' theorem.
15. With a labelled diagram, write the expression for the capacitance of a
spherical capacitor.
16. In the figure shown beneath obtain I one and I three .
3 A
2 A
1 A
1 I
1 A
4 A
I
I
2
3
11 Code No. 33-NS
[ Turn over
17. describe the terms ' Declination' and ' Inclination', at a place.
18. Write 1 advantage and 1 disadvantage of eddy currents.
19. elaborate matter waves ? How does the de Broglie wavelength of an
electron change if its velocity increases ?
20. elaborate 'Stokes' and 'anti-Stokes' lines in Raman spectrum ?
21. provide any 2 differences ranging from P-type and N-type
semiconductors.
22. Mention 2 major classifications of liquid crystals.
PART – C
III. ans any 1 of the subsequent ques. : one × five = 5
23. Derive an expression for the refractive index of the material of a
prism in terms of angle of the prism and the angle of minimum
deviation.
24. What is polarising angle ? Show that the reflected and refracted light
rays are mutually perpendicular to every other at the polarising angle
of incidence.
Code No. 33-NS 12
IV. ans any 2 of the subsequent ques. : two × five = 10
25. Derive an expression for the force ranging from 2 parallel straight
conductors carrying current and hence describe 'ampere'.
26. State Faraday's laws of electromagnetic induction. Derive an
expression for emf induced in a rod moving in a uniform magnetic
field.
27. What is photoelectric effect ? Mention the experimental conclusions
on photoelectric effect.
V. ans any 2 of the subsequent ques. : two × five = 10
28. describe (i) mass defect and (ii) binding energy of a nucleus.
Show that one amu = 931 MeV.
29. State the legal regulations of radioactive decay and hence prove that
N = N 0 e – ?t with usual notations.
30. discuss the formation of P - N junction with a diagram. When is the
P - N junction stated to be (i) forward biased and (ii) reverse
biased ?
13 Code No. 33-NS
[ Turn over
VI. ans any 3 of the subsequent ques. : three × five = 15
31. A glass sphere of radius 15 cm contains a small air bubble at a
distance of six cm from its centre. When viewed along its diameter
from the closest side, the bubble appears to be 7·5 cm. compute
the refractive index of glass and the apparent distance of the bubble
from the farthest side.
32. A metal sphere of radius 0·01 m is charged to a potential of 45 kV
and kept at the corner B of a right-angled triangle ABC ( AB = 0·3 m,
BC = 0·4 m and ? ABC = 90° ). compute the work needed to shift a
charge of two × 10 – six C from corner C to corner A of the triangle.
33. 2 circular coils of mean radii 0·1 m and 0·05 m consisting of
5 turns and 10 turns respectively are organizes concentric to one
a different with their planes at right angles to every other. If a current of
2A is passed through every of them, compute the magnitude of the
resulting magnetic field at their common centre.
34. An electron in hydrogen atom in the ground state is excited to n = 4
state. compute the energy absorbed and the wavelength of the
electromagnetic radiation emitted when the atom comes to ground
state.
( Ground state energy of H two = – 13·6 eV )
Code No. 33-NS 14
VII. ans any 1 of the subsequent ques. : one × five = 5
35. define an experiment to determine the temperature coefficient of
resistance of a thermistor using metre bridge.
36. define how you determine the self-inductance of a coil by direct
method using A.C./D.C. meters.
VIII. ans any 1 of the subsequent ques. : one × five = 5
37. Using the subsequent experimental observations, compute the
refractive index of the material of convex lens.
Shift Method
Trial No. D ( m ) S ( m )
1 0·75 0·335
2 0·90 0·519
Boy's Method
Surface Radius of curvature ( m )
1 0·148
2 0·150
38. The subsequent readings are recorded in an experiment to obtain the
reduction factor of a tangent galvanometer.
15 Code No. 33-NS
[ Turn over
a) Radius of the coil of T.G. = 7·956 × 10 – two m.
b) No. of turns = 2.
Trial Current Deflection ( degrees )
No. ( A )
? one ? two ? three ? 4
1. 1·5 30 30 31 31
2. 2·0 38 38 39 39
obtain B H at the place.
PART – D
IX. ans any 1 of the subsequent ques. : one × 10 = 10
39. a) In Young's double-slit experiment the 2 slits 0·18 mm apart
are illuminated by light of wavelength 589·3 nm. compute the
distance of (i) fifth bright and (ii) third dark fringes from the midpoint
of the interference trend found on a screen kept
0·6 m away from the slits. 4
b) find the expression for effective capacitance of three
capacitors connected in parallel. 4
c) provide 2 differences ranging from interference and diffraction. 2
Code No. 33-NS 16
40. a) 2 resistances of 3O and 6O are connected in parallel with a
battery of emf 6V and internal resistance 1O. compute the main
current through the circuit and the currents through
3O and 6O. 4
b) What is (i) optical pumping and (ii) population inversion, as
related to LASER ? Mention 2 characteristics of LASER. 4
c) What is a choke ? Mention 1 use of it. 2

), -50 (2005-06 2006-07 XX dFdS /Sd )Frirt)

New Scheme ( For Students studied during the Years 2005-06 & 2006-07 )

Code No. 36-NS

Total No. of Questions : 21 ] [ Total No. of Printed Pages : 7

March / April, 2007

BIOLOGY (Part I) BOTANY

( Kannada and English Versions )

( New Syllabus )

Time : 1 Hours ] [ Max. Marks : 45

( Kannada Version )

: i) rt,d d nd

6 co * t y

ii) n,d oX aed>nda<,.

e)rt - A

X>A d4,rt$rt odo dd odo d>X.d 0 : 5x1 = 5

ZJ 1 6 co _o

- b

dn, </>d)add) dnn ,d/do 0ddOod db daX₆rt>, O : 5 x 2 = 10

_D

6) dPdrXeod,X e" ( Prokaryotic gene ) dbb >&Xeod,X e" ( Eukaryotic gene ) rtAdbd (/d)add) 0ddb

7) ddaoO ,, ( Transgenic plant ) 0Odde ? odb dad} XS.

8) dbjdX ( Parenchyma ) onaod </d)add a<b@ ribraoX\rart>b dbO.

9) adp,&F adeX d,ort>odde ? 0ddb adp,&F adeX ( Antitranspirants ) d,bort>b ,0n).

10) XX > ( Synthetic Auxins ) 0d db <Drt>_ct dbO.

11) dnb dXj ( Growth curve ) db eO,d nab dfy d, >drt(D o rt>b rtocb.

ot

- c

X>A dn>, (d/d)add >yo₄ dn dad_od j&d/do 200 - 250 ddrt> 0 : 4 x 5 = 20

co _o

12) dy^6, d/ertrt>b w0 0dO </d Oeo, S00 odb odo5eb d, 0odo ,aa eOd ?

_o

13) Wd o5X oqa ( Genetic engineering ) d dbX bjbR 4A d/dbd aa db adO.

14) ,jdJ , X<d ( Stem cell culture ) 0odeo ? dd /d)add) <d₄

<ort>o d d/S.

15) wad X>d onaoS ( Phloem tissue ) d artrt>o rtodond oddad ddo, , d0.

Ot

16) d,do <a <a ( Stomatal movement ) do aF deSn, ( Starch hydrolysis ) oaod doX eddF ert ad)&ndo ?

17) odortoX ( Fermentation ) 0oddeo ? dodd odortoX ( Alcoholic fermentation ) doo a,3y wdo ( Lactic acid ) odortoXrt>y d0.

' _o 6 eo co^v ' c

e)rt - D

I. X>A drtS, /doadd d, 0 :

18) S,eo OoaeOSeXdra ( Non-cyclic photophosphorylation ) do e0,d {d n@edj ( Z-scheme ) dezado do0. 5

19) X> d)rt$rt odo daXd yadra XS : 5x1 = 5

a) UAG odo doe ,oXe ( Nonsense codon ).

b) aoora odeooe,,? ( Restriction endonucleases ) rao X0 ( Molecular scissors ) rt> odo XdQaa d.

CO

c) do> nad dodd OTftoort>o d o<o doo dooco Xdartod .

d) XjSy ortod d/ert ( Girdling experiment ) dR d/dartod)S<,-

e) n.0.0dj. ( CAM ) ,,₆rt>Y ddo,rt> rt<Y doodod.

ii. (dccLeri ddXjdod djno d/J)

X>A (/djdadd o d, JOS :

20) >rtrt>o rtodoSd oddd doart, ,d> dPeleoe&d ( Simple potometer ) dertd dOS. 5

21) a) Xerodj dedd yrt d d d/ertdS, X>A yrtd doo doe

yrtd d.ood o ert rto> ra X, dorto d. aX? 1

eo i$ rs v -o

b) djdod; dd, ( Stomatal apparatus ) Do ddo, ,OS. 2

c) niwiOn j,Sj/d/dX ( Respiroscope ) d, dortd/nod ao </>d)do ? 1

d) Oe ( Rhoeo ) 0 oo &j ddrad, aSdn dd edXert> Xed,d ( Protoplast ) oXoJrtd ,OS. 1

i) Draw diagrams wherever necessary.

ii) Unlabelled diagrams do not get any marks.

PART - A

Answer the following questions in one word or in one sentence each :

5 x 1 = 5

1. Which RNA carries amino acid to the ribosome during protein synthesis ?

2. Name the type of cells present in vascular cambium.

3. Define wall pressure.

4. In which cell organelle Kreb's cycle occurs ?

5. Name the synthetic ethylene releasing compound used as a fruit ripener.

PART - B

Answer any five of the following in 2 to 5 sentences each : 5 x 2 = 10

6. Mention any two differences between a prokaryotic gene and an eukaryotic gene.

7. What is a transgenic plant ? Give an example.

8. Mention any four salient features of parenchyma tissue.

9. What are antitranspirants ? Name any two antitranspirants.

10. Write any two applications of synthetic Auxins.

11. Draw a graph showing the typical growth curve and mark the phases of growth in it.

PART - C

Answer any four of the following in about 200 to 250 words each wherever applicable : 4 x 5 = 20

12. Based on the discovery of Griffith how Avery proved that DNA is the genetic material ?

13. Describe the technique of insulin synthesis in brief through genetic engineering.

14. What is stem cell culture ? List any four applications of stem cell culture.

15. With a neat labelled diagram explain phloem tissue.

16. Explain starch hydrolysis theory of stomatal movement proposed by Steward.

17. What is fermentation ? Explain alcoholic fermentation and lactic acid fermentation.

PART - D

I. Answer any one of the following :

18. Write out the Z-scheme for non-cyclic photophosphorylation. 5

19. Give reasons for the following in one sentence each : 5 x 1 = 5

a) UAG is a nonsense codon.

b) Restriction endonucleases are called molecular scissors.

c) It is difficult to open and close wooden shutters during rainy season.

d) Girdling experiment cannot be performed in sugarcane plants.

e) CAM plants close their stomata during daytime.

Answer any one of the following :

20. Describe simple potometer experiment with a neat labelled diagram.

5

21. a) In cobalt chloride paper experiment the lower strip of paper

turns pink faster than the upper strip. Why ? 1

b) Draw and label stomatal apparatus. 2

c) Name the gas liberated in Ganong's respiroscope. 1

d) Name the phenomenon of shrinking of protoplast when the Rhoeo leaf is placed in sodium chloride solution. 1

[ Turn over

1

C/d Xrad ort ( Cell organelle ) d X, ( Kerb's cycle ) dCod ?

), -50 (2005-06 dbSb, 2006-07 dFd e>>₆, d/Sd dFrirt)

New Scheme ( For Students studied during the Years 2005-06 & 2006-07 )

Code No. 99-NS

Total No. of Questions : 21 ] [ Total No. of Printed Pages : 7

March / April, 2007 BIOLOGY (Part II) ZOOLOGY

( Kannada and English Versions )

( New Syllabus )

Time : 1 ¹ Hours ] [ Max. Marks : 45

( Kannada Version )

i) d,>d d S,rt>b.

6 CO y t

ii) rnrtrt > rtbdb,d oXrto .

' * C-5

>ri - A

I. X>A ddiodX, odb dd dd- odb d>X.d SO :5x1 = 5

y y $ ⁴ & co -o

1. rtO</ dert X, ydradd denrabd b ,O.

6 ot

2. oSma >1, dd d>,Z, dbO.

y co eo * 6 6

3. erard,d dbd d e,<b<b Sdrtd era,db ,O&.

CO co d oi

4. /d d,edd ( Hormone ) db>Sd,dbd eO dddertbXbb, Sd<bbS d ?

_D

5. ,d/₆lel$* dsod dbX₄> /d dertd) oirtbSd ?

>ri - B

II. X>AS d/>d)ddd drtrt, tySodX 0ddood do dX₆rt>< 0 : 5 X 2 = 10

_D

6. Xdjdo ( Blastula ) dSdOSO d0.

7. 2,3ort d d0<Sdo ( Pulmonary circulation ) ddo0.

8. dodo dXd rtooty A wAdo doo oddo dXd rtooty B wdrt ,odo dod dXd ribotyrtSO d doo.

9. WOedOdS ( Alzheimer's ) dertd )rt d, ddo0.

r\ *^J

10. d < Se&S" 0oddeo ? odo ddd} Xs.

co

11. ,aX ( Endemic ) d,ed n> od deSo ? 0d do dd d} Xs.

cp ZJ '

>ri - C

X>A d/dddd Se>o₄ drtrt, tySdodX 200 - 250 ddrt>< d2,d d iddoO : 4 x 5 = 20

6 co

12) d/S dS dddod <o eXdo odrod ddo, rtrt>So rtodoS.

13) dXodY on<d dd/Xd ( CO ₂ ) rodS d0.

14) on ,oop ( Sex linked ) wSodoedoJ .aoddeSo ? d/SdS d}>Foddo ( Colourblindness ) <Dd0.

15) do ,odX,} 0odde ? /d)ad co, do ,odX,}

CD U TD wJk n

dOS.

16) d </0S, ( Dialysis ) 0Ode ? d</0S, >drt>o dOS.

17) X> d,4rt$rt JOS.

-> ot _0

a) Xe do ad>eX ( Cell mediated ) 0odde ? 1

b) /d)ad 0dd ed dpdo Xorib&X dOra3dort>o dOS. 2

c) dj ddrt>0 ( Sacred grooves ) 0Odde ? odo dd} XQ.

2

>ri - D

I. X>A /d)add o dn Jd doO : 1x5 = 5

18) odej 0Oddeo ? od>rao dOS. 5

19) X> drtert JOS :

ZJ -o

a) dOy\d ,oXdra ( Test cross ) d ddoon ? 1

b) aeyd/d ( Cyanosis ) 0od deo ? 1

c) d Xdd >0 ( Surface barriers ) </d)d) ? 1

d) ,X@, 0olOX, ( Succus entericus ) 0od de ? 1

e) ra.oo.S.oo, OS. 1

c _D

II. X>A o- dDO

20) dd. XdD$ ti eXD oddad rnrtrtb, rtDdD.

6 rs cs> y ct * ct

5

21) a) ( Benedict's ) dOeX\D daDDDD dDO. 1

b) ( Hepatocyte ) 0OdeD ? - Xe,dD

, O<DDX rt>. ,O&. 2

_0 c

c) dadrX DdzpD ( Hyaline cartilage ) Od3 Dr

artrt >d riDdDn). 2

ot

Note : i) Draw diagrams wherever necessary.

ii) Unlabelled diagrams do not get any marks.

PART - A

Answer the following questions in one word or one sentence each :

5 ro 1 = 5

1. Name the causative agent of gonorrhoea.

2. Define Erythroblastosis foetalis.

3. Name the digestive secretion in which digestive enzymes are absent.

4. Which hormone controls the output of water in urine ?

5. Which disorder is caused due to hypersecretion of somatotropin in children ?

PART - B

Answer any five of the following questions in about 2 to 5 sentences each : 5 ro 2 = 10

6. Describe the structure of blastula of frog.

7. Write a note on pulmonary circulation.

8. Derive the blood group of progeny, if the blood group of mother is A and that of father B.

9. Write a note on Alzheimer's disease.

10. What is Hallucinogen ? Give an example.

11. What are Endemic species ? Give two examples.

PART - C

Answer any four of the following in about 200 to 250 words each wherever applicable. 4 <*> 5 = 20

12. Draw a neat labelled diagram of V.S. of human heart.

13. Explain the process of CO 2 transport by blood.

14. What is sex linked inheritance ? Explain with reference to colourblindness in man.

15. What is soil conservation ? Explain any four methods of soil conservation.

16. What is Dialysis ? Explain the types of dialysis.

17. Answer the following questions :

a) What is cell mediated immunity ? 1

b) Explain any two causes of Biodiversity depletions. 2

c) What are sacred grooves ? Give an example. 2

PART - D

I. Answer any one of the following : 1 & 5 = 5

18. What is Oogenesis ? Explain the process of Oogenesis. 5

19. Answer the following questions :

a) What is the significance of the test cross ? 1

b) Write the reason for Cyanosis. 1

c) What are surface barriers ? 1

d) What is succus entericus ? 1

e) Expand IUD. 1

II. Answer any one of the following : 1 & 5 = 5

20. Draw a neat labelled diagram of T.S. of human small intestine. 5

21. a) Write the importance of the Benedict's test. 1

b) What is a hepatocyte ? Mention its components. 2

c) Draw a neat labelled diagram of T.S. of Hyaline cartilage. 2

[ Turn over

), -50 (2005-06 2006-07 dd dFd 1>₆, /Sd dFrirt)

New Scheme ( For Students studied during the Years 2005-06 & 2006-07 )

Code No. 34-NS

Total No. of Questions : 39 ] [ Total No. of Printed Pages : 15

March / April, 2007

CHEMISTRY

( Kannada and English Versions )

( New Syllabus )

Time : 3 Hours ] [ Max. Marks : 90

( Kannada Version )

ii) )rt - A, B, C doto D rt> 0> d4rt>o

' * ⁷⁷ -0 CO c c 6

t O,edo.

_D

iii) - A o d,4t 0X@ odo oddot 10 odrt>, - B odd@ 2 oddot 20 odrtsb, - C o d,4

odd, 5 odrt>ot 40 odrt> - D o D 1 10

odrt> D ₂ mrtd d,4 odd, 5 odrtot 10

2 CT> y Ol 6

odrtdot d.

_D

iv) rttdod odrod dot oeddrartrfo, doO.

- A

: i) 0> 10 drt > ytOn.

CO J/ c c _D

ii) odo ddd odo rodd todrto,

didoedo. d, dJ, odo oddotd. 10 x 1 = 10

y y ot -e

1. ne,dYdod d$,(doo edrQ,od ( Desilverisation of lead ) >ado ,On).

2. &j 3,dra ( NaCl ) aedra ( Electrolysis ) C/>rt EQCdo C/Drt$Ao d> H + C/rt> ,&f wrtD ydradeD ?

3. <e C/ d"3 dDD dd)V ,oCeXCDDR dSbd Snora* ( Ligand ) SoQd oD ,o3erar <dra d} XQ.

4. D ( Threshold energy ) Cdr dzn).

5. 10 ^{- 2} M NaOH s,drad pH , $.

6. od rod_J5e rodo, ddS, XdAtoirt - dd dDe wrtDd d O}dDd?D ?

7. oD d3,DX dD, ( Primary amine ) Dr drC/A wq@SeXdra ( Alkylation ) d/Sn dDd 4d ,de ?

8. )dj{ 3/CdCd ,rad/₆ ,&DeXdradDR dDO.

9. dertiOT* d ,dD dDO.

10. dgje .aXeXdra 0oddeD ?

>ri - B

i) Czd3d& d;Rrt>DR O.

ii) dCodD dCDi 0dD oXrt>D_ct doacbd.

10 X 2 = 20

11. XeDs^5, wXaod XeDCDdD ( Cr ) pbrt d>Cdo dedd dXdrrayOC/A d CeA, d. 0S onsidj⁵ ,raQod yadradD $.

0 CO y <=i

12. wypy* w ,Xrt>oart rtoyo,) Sert o &doA,bd ? ,PbeXdrao doO.

ot

13. dPi&o Xrad EAN bo X@ sS.

14. s-ddd/rao XSjebrto pro>_fd</>rt dbd 0 ( Bonding ) dbb d,o ( Antibonding ) rao X3\ebrt> db dbO.

15. odo <,db drtd SjbbpY Xd ,D0ra ( Concentration ) Ozrtorartorort w Soo derti oranod 0odo >eO.

16. d>ea</ ( NH ₃ ) rabb_l e>,? yd doo yddodo PX dOrt,>rto d ? PdO.

_D

17. yb XeoQ, d PXXedS ( Unit cell of BCC ) Xrart> ,oZ.io X, d/S.

y * CO ^K t oi tr

18. wdr 3,dra doo OTdr 3,drart> dbd dod 0ddb dwO d &DO.

19. X%ede-es* o eby* wdA Sen dOdr,bPO ? ,PbeXdrart>o dbO.

20. .-deo* d//,d ( Strainless ) db odeb ?

6 y qz

21. sdb edbdb S/bb db>X >PbX db,b_ct Sen /O,bPO ?

22. a-d/dj,? Sed3*F d do doO.

- C

I. X> Ad)rt> <d/>d)d^,dd 0-0 drtrt O : 2 x 5 = 10

23. a) Xrad /OXo d<>eA,od Xoodo<o oddd db doO. - ed ed dort>S dortod doX a,ort>o

co -> cl

doO. 3

b) lisyFd >X@d (o) ,o3erard dob, doO. dd< XeoQ,eo ded ddd/rao </d ,oXdJb0 ( Hybridisation )

doad ? 2

24. a) ddol aOaod typi>&<doo dXdoe dert p,oddo ? 3 b) yd n,? tood tyyd dedd d>&rt ydrado dO. 2

25. a) wdoXd rao>< dod dy \,do doO. do aX

oyoeo ( Paramagnetic ) dAd 0odo dO. 3

b) /eXd ra , d/ortJido ddd} dO. 2

II. X> Ad)n>, <dzd)ddd dodo tySrt O : 3x5=15

26. a.) d,ed}> tyd ( Inductive effect ) doo oe,edoO5 tyd

( Mesomeric effect ) rt > dodw dod d.S3,,rt>0 doO. 2

^{v * t t t oi}

b) rodd}oatf {(do ,d/ortJ ( Geometrical isomerism ) <dob dO. 3

ot

27. a) ,eXdra ,/SoSb O. 3 b) i) dS ii) g,e" dDO. 2

28. a) X>A)rt>oQrt ert 3f,dSo 0od dDO : 3

i) deD" aeO

ii) DF 5* W

b) S N 1 d S//SoSb >d} d>X O. 2

29. a) I/Os" d3 ;,iSb dDO. X>n)rt>oan

ert f,dS ? 3

_D

i) df rto5D, oSbo A

ii) KOH s, ra

b) XfX ,X@dDode ? oD >d} XQ. 2

III. X> /)d odo SO : 3x5=15

30. a) eraD," ,xXdrab dDO. ddD ,oXeSrt> fd

Sdd 27C ao 47C n O>rt oD 3,db<D S,/en

rs V V

a<S3oX) 4 rtDSo- W 3/D<D ,3/DS3> ( Activation

energy ) Db XoDSDO. 4

b) d1)" < ( Brownian movement ) ert oirtDSrf ? 1

31. a) weD S,pX s,ra pH b Xod&Sdco efi, o d", s" ,DeXdraD ,a. 4

ct

b) pe (/,") 0ode ? 1

32. a) 10 Sed" da,drad 40 ao.nap NaOH rfs, ddA&dd, da_;drad

pH ?

2

b) ooa wdo -dja.do 0odde ?

1

O co 6 co

c) ad adda dded adrt> doed dad edod ort>ot doO. 2

33. a) oQ oae d,dd wa d 200 mm/Hg. de do 2 na,o ajeo, ao₆a_czaK₆ daddo 78 nap oOqoes?<), ddA&dart w da,drad wa d 195 mm/Hg wod. w dad rao ddo dodoSoO. 3 b) da,dd doo da,dd d/& drt> do₆ dod 0ddo ddo doO. 2 34. a) erao, ado-d&aeo a<e&(o dodo rt,ert>o doO. 3

b) 62 kJ/ded d,dzd dood

dod odo da,aoad S,oo

_o _o

,do& & daoddo 300 K S o dodoSoO.

ct rs co

cp cp

Error! molError!)

2

>ri - D ^D 1

IV. d> Ad)rt> </>d)dadd o drt O&

1 X 10 = 10

35. a) 3d eo aSort> dyaj aa₆,do doO. dOod d> A dn>o adO&.

i) Cu + dSo Sc ³ + zort>o ra dSdaAdoS d.

ii) Zn ² + /o d yaoeo.

3

b) dad/de 3/oo 3,/Sod adO&. 3

0ol,e&oo dzas. odo a< ddradOTrt -

0ol,eD wrtod dd>d} ?

r +

,dooe ,oZw 0oddeo ? ,,Xd ,k_a d_;d/ra = 053

r

dod /a ,dooe ,oZ₆ 0dDj ?

c) i)

ii)

d,^d

4

36. a) dedd ao aSed} daaod S,ed &oS,radb, ert

CO * Vo V ct

ortd} d/doO ? dOS. 3 b) X>Ad)rt>oart d/eyarXj.Ss⁵' wdd) ?n dr, Jd ?

i) wdesad

ii) dea</

, oeXdrado Xa do Jo ddnod ,eoa,eo Jrt>

,d. doO.

3

ct

c) w&oeaoo doJOo doeAe&oo Owartrt> (0dX%edrt>) SRP

%d^e

drt>3 XjdOdA - 1-66 V WA doJOo - 2-37 V WAdoJd. d)n>0, d<>eAS dsd XeSdo ad&s. w XeSd d,d/X dooX

Ot ZJ s>

S3 <oo dX, sa3.

_o tr

[ F = 96,500 coulomb ] D

4

2 x 5 = 10

v. x> Ad)n> /d)add 0-d ds nn Jos _:

2

37. a) s&adaod p-ede s&ad,₎do_ct dertsado, n J</O,oO ? 3

b) S Xrd n>0r Xodoaoco d/dod ,ad/₆ dOeX dOS.

38. d slei wD,eCD >kCdd eO,d d/Certd) odD d,ddD {r 3/CDC/AdDd 0od dr. 5

39. dd/raX d,5 deaCDo el ddradDR dC>eA dPiCDo d dd/onei j,drad0,dDd dPiCDo do5d/ortei* dOd/radD XodoSCDDd dCertd, X>Ad)rt>D :

i) w 3/CdCd diCDX ,DeXdradDR dDO.

ii) diCDo ddd/one|5 ,d/ ddCDD, $.

iii) d,CertdS, dCeAd ,X C/d)dD ?

iv) S,CdCd o.d wrtDd ra d dod}CDeD ?

2 + 1 + 1 + 1

' ZJ t co rs

ii) Parts A, B, C and D are common to all the candidates.

iii) Part A carries 10 marks, Each question carries one mark. Part B carries 20 marks. Each question carries two marks.

Part C carries 40 marks. Each question carries five marks. In Part D D ₁ carries 10 marks and D ₂ carries 10 marks. Each question of D ₂ carries five marks.

iv) Write balanced chemical equations and draw diagrams wherever necessary.

PART - A

Note : i) Answer all the 10 questions.

ii) Questions have to be answered in one word or in one sentence each. Each question carries one mark.

10 x 1 = 10

1. Name the process used for desilverisation of lead.

2. During electrolysis of brine H ⁺ ions get discharged in preference to sodium ions. Give the reason.

3. Give an example of a complex where a ligand satisfies both the primary and secondary valencies of the metal ion.

4. Define Threshold energy.

5. What is the pH of 10 ^{- 2} M NaOH ?

Code No. 34-NS 10

6. What happens to the vapour pressure of a liquid when a non-volatile solute is dissolved in it ?

7. Name the final product formed when a primary amine is subjected to alkylation.

8. Write the general equation for Wurtz reaction.

9. Give the structural formula of pyrogallol.

10. What is meant by denaturation of a protein ?

PART - B

Note : i) Answer any ten questions.

ii) Each question carries two marks. 10 x 2 = 20

11. With the help of Ellingham diagram explain why Aluminium is used as a reducing agent in the manufacture of chromium from chromic oxide.

12. How does conc. sulphuric acid react with oxalic acid crystals ? Give equation.

13. Calculate EAN of iron in potassium ferrocyanide.

14. Sketch the shape of sigma bonding and antibonding molecular orbitals when s-atomic orbitals overlap.

15. Show that the rate of a first order reaction doubles when the concentration of the reactant is doubled.

16. Explain why NH ₃ molecule can be considered both as a Lewis base and a Bro nsted base.

17. Calculate the number of particles present in the unit cell of BCC.

18. Give any two differences between an ideal solution and a non-ideal solution.

19. How do you convert chloroethane to ethanoic acid ? Give equations.

20. What is Sache-Mohr theory of strainless rings ?

21. How is a primary amine prepared by Hofmann's bromamide reaction ?

22. Write the Haworth's structure of a-maltose.

PART - C

I. Answer any two of the following questions : 2 x 5 = 10

23. a.) Draw a neat labelled diagram of blast furnace used in the

extraction of cast iron. Give the chemical reactions that take place in the different zones of the furnace. 3

b) Write the structure of tetracarbonyl nickel (o) complex. Indicate the type of hybridisation undergone by the central metal atom. 2

24. a) How is potassium dichromate manufactured from chromite

ore ? 3

b) How does electron gas theory explain the bright metallic lustre of metals ? 2

25. a.) Write the electronic configuration of oxygen molecule. Explain

why oxygen molecule is paramagnetic. 3

II. Answer any three of the following questions : 3 x 5 = 15

26. a.) Differentiate between inductive effect and mesomeric effect. 2 b) Explain geometrical isomerism with one example. 3

27. a) Explain the mechanism of nitration of benzene. 3 b) Give the structural formulae of (i) Lysine (ii) Proline. 2

28. a) How does phenol react with

i) bromine water

ii) dil. nitric acid ? 3 b) Explain S _N 1 mechanism with example. 2

29. a) Write the structural formula of tristearin. What happens when

tristearin is heated with

i) dil. sulphuric acid and steam

ii) KOH solution ? 3 b) What is a reducing sugar ? Give one example. 2

III. Answer any three of the following questions : 3 x 5 = 15

30. a) Write Arrhenius equation and explain the terms involved in it.

The specific reaction rate of a reaction increases by a factor 4 if

the temperature is changed from 27C to 47C. Find the

activation energy of the reaction. 4

b) How is Brownian movement caused ? 1

31. a) Derive Henderson's equation for the pH of an acid buffer. 4 b) What is dialysis ? 1

32. a.) 40 mg of NaOH is dissolved in 10 litre of the solution. What is

the pH of the solution ? 2

b) Define conjugate acid-base pair. 1

c) What are the factors, affecting the single electrode potentials ? 2

33. a.) The vapour pressure of pure benzene at a certain temperature

is 200 mm/Hg. At the same temperature, the vapour pressure of a solution containing 2 gm of a non-volatile, non-electrolytic solid in 78 gm of benzene is 195 mm/Hg. What is the molecular mass of the solute ? 3

b) Give two differences between lyophilic and lyophobic sols. 2

34. a) Give any three assumptions of Arrhenius theory of electrolytic

dissociation. 3

b) The standard free energy change for a reaction is 62 kJ/mole. Calculate the equilibrium constant at 300 K.

35. a) Write the electronic configuration of 3d series of elements. Hence explain

[ R = 8-314 JK ^{- 1} mol ^{- 1} ]

PART - D ^D 1

1 x 10 = 10

IV. Answer any one of the following :

i) Why Cu + ion and Sc ³ + ion are colourless.

ii) Zn ² + ions are diamagnetic. 3 Explain the mechanism of Cannizzaro's reaction. 3

b)

c)

i) Define Entropy. What happens to the entropy when a gas undergoes expansion ?

ii) What is meant by co-ordination number ? What is the co-ordination number of the ion if radius ratio of the crystal

+

is 0-53 ? r

4

36. a) How is a mixture of noble gases separated by Dewar's charcoal adsorption method ? 3

b) How does a monocarboxylic acid react with

i) alcohols

ii) ammonia ?

Give equations and name the organic products formed in these reactions. 3

c) The SRP values of Aluminium and Magnesium electrodes are

- 1-66 V and - 2-37 V respectively. Represent the galvanic cell constructed using these electrodes. Calculate the free energy change for the cell reaction.

[ faraday ( F ) = 96,500 coulomb ] 4

^D 2

V. Answer any two of the following : 2 x 5 = 10

37. a) How is p-bromo acetanilide prepared from acetanilide in the

laboratory ? 3

b) Give a general test for a carbohydrate. 2

38. Describe an experiment to show that acid hydrolysis of methyl acetate is a first order reaction. 5

39. For the estimation of potassium permanganate using standard ferrous ammonium sulphate solution

i) write chemical equation for the reaction involved.

ii) give the equivalent mass of potassium permanganate.

iii) name the indicator used.

iv) what is the colour change at the end point ? 2 + 1 + 1 + 1

[ Turn over

rttalb (jook-o*. sfcato, j>ooi.~oL ttevSQ vy$ *Sad aa&$rri*rt)

( For Students studied during the Years 2005-06 &,2006-07 )

Code No. 34-NS

Total No. of Questions : 39 ) I Total No. of Printed Pages : 15

July, 2007

CHEMISTRY

(Kannada and English Versions)

(New Syllabus)

lime : 3 Hours ] I Max. Marks : 90

(Kannada Version)

xL&z&S: J) 11) Zxpvi - A ofc asJrta toc) otfdoi 10 eodrftto, aqrert - B c&

2 20 eotirtfc, atiisrt - C ok 43

5 40 otfrt5k, atpart - D o&C_n D _x 10 odrtvb

D ₂ srfii 5 odrteoi 10 eodrtCdsS.

Hi) wtt₆<&ctos&k eods79d && udotoO.

>t?srt-A

: l) <sc 10

ii) stfrtGrt >ock ztecttk 9*535 t,ock sn>*₆e wdc&tfefc. 4^s fc>oek eod&dbi.d. 10 x 1 = 10 1. 3,es$ eaerte s&oo ofo>$z ?

2. d-sn *?32brW *9eJffc3* wdokO.

3. s&*33*ai)o iupac ao?S&?k ?

4. $od&s3ertt ;Sxe5 eroticxfc ssjfcjrafctafc ?

5. HCOg ucJccoe.

6. C3$s3c& alooodj cfcuro ocartert wotoAcfoS cf3>orf aofcriD* ro₆aj5₆.

7. asfcw/sn&kdbsS 3aoe$*tf aSrio*.

8. eeslAeoax 3*3*3* wft sdor erosdoiQefrtori crotooi&ds aSriO*j.

9. tia₆c3*rf ovreofcatf a&fc5e&> ?

10. extort u>ek erajw&5rf toa.

&z?vrt - B

*UjW.* 1) otodd a uo,0&. ii) 4&c&j30c& sriafcja *>bc& eotfri alaoadd.

10 x 2 = 20

11. WArf eodbrW tfoalGetsSaSK &x3otoO.

a) &toi3*

b) stoty³*

3 Code No. 34-NS

12. TXtioSsd H₂SO₄ t&iDoart H₂S flradra toa.

13. fccOodbo sto*, wrars* edurW *>dcfcfck enwJaiertrt5 &xtoo.

14. 3_AB.&eoto &eo?Se tfooiortert addo

&fcjoi#Srtv5s$4 ?

15. ie-orjrf wesfic $ofc *>ocfctak ? toock erocrcaodfl la.

16. &xtc>sSc3*, sl?aaSK>f\o3 TCdrs.&oQ.

17. tfsfcwto* aodckek ? aSert Sr/jsabc ?

18. sd#;k drtrd akdrsodd 75% 4,o& p&rod&rto 30 SJttJirtsk aftrbd. *pi>a> dcrt aoteotfsi cW₄ asS.

19. LikS₆ $,afc5dr(Fd $afc soztoteto ? oc> roroaobfl &a.

20. Kiting esotok arfOrsi) ? oc> s/\raaodFSoioart >d*>.

21. <aofcXj3,e& odcJeFk ? jako-sJeOg &j&pbQ&C_n aosije&oio aSert sjctorbd ?

22. 0* l M &U3* d cdrad aoioe&syjosto c5 aoad.

ri - c

I. dbcb sriiPrt eroOA : 2 x 5 = 10

23. a) Jteftccoe rtooiotfrte IUPACsrafcddraaofcsfcrttfeS30*. 3 b) rre₆oc3* aocfctefc ? atfdo&ofc Cm_toa*A i&cfc> enxroaodrf taa. 2

24. a) )ds₆3ocOocS &w&o>o g&rt eroapjtosicto ?

&&*>. 4

b) O 2 5, O* otfs&> aSt dsrsdcS ? 1

25. a) rso-tfrttf tfesDeofc JtfoctoetwSofcc O ₂ enoatf

wtoa 3

b) aori&ek ? ecfcj ajsfcaaiofcrf sex. 2

II. o&js&yadcto sixd& eroi.OA : 3x5=15

26. a) troorbd ee3Ae&rt$rt riotx*c3o3 waod&drf &+$&*, 4 b) oao* sawra* sWstoKO &odde?& ? 1

27. a) zj,ap3bos>oc$ $*3* ioijso 3

b) walKs*** atos&sacfcifl sxScto en*fotoeriri zocJc . 2

28. a) rtjdflcfcsi &3d ridattofc cft$33 aiFOJfcri asfo*. 4 b) qzeodb wfras* dt&Sofce wdocoo. i

29. a) 4* cwrocdbeto o&rttfei &&% :

J) sksJsfsS stesarra tpb 2

u) s&3$f?$ e,o& 2

b) CH3CH2COCH3dnjPACa3df Wtfotoo. 1

III. ote#33Cfti stojstib srtert eroo*, : 3 x 5 = 15

30. a) tptossSriF* 3&?>%0 gJ36Ja sxs &*&&. 4 b) stoeerao* 3S3adrtio> s&jaos&s&tafc ? l

31. a) si saakFsfeS >5foX. 4

32. a) Oewo* 0*4 sl&e* NH₄ OH 0-8 djwo* NH₄ Cl

3fe3$ C3f3Cj pH 5 dtf₄ 3o.

(NH4OH3 Kb= 1-8 x 10-5nd5rf ) 4

b) &esS (xs ) 3336aj36SA. l

33. a) &&4So&o&o&tfo&> toOdi Sck awJ30d&3tf *,o3b. &&&. 3

b) adcfc 4 SKSs&tato ( SRP) rf,5fcs33ft - 2*38 5&>eej z&Q - 0-76 sjpc, ^p5$ adcfc &GK3orttfOC31CS <acfc₆3*tozto 3od. 2

34. a) t&r asrU> esrK&r orartefatosS otosrsddQ sfcjada

wdoteo. 3

b) a$te &>o) 5&&b tfitorteftdbsS <ad&> 2

*>2?3>rt - D '

IV. 3s Whe&$rW>, oipciQ t*oris sjrt trao* : 1 x 10 = 10

35. a) or3o5₆s codb xtoc&aori ao?$rtsb >$ riOoircflsJ <aoc>

*&*>:

i) uJto&afcsksS lQ,e2oo io&aoiokC cs&aSratreoatoft d. 2

ti) aSs&feJ&od drasSf iofcsOTfosjart orreod stoics* ezfcfciFfaffaooinn apS> 2

b) AH, AS &&, AG rW t&cdto t*oeb $abab jofco-edtfSofc &QoSxx> aSert JteBscdbovta,5* ? AC*. 3

c) ^eTOC_j*3* sdOsrafe si)*, 5fcQ5ko&* zJOfsskrtCftdtej odtos&roddLa *>dc&

todo&O. 2 d) 4Q,e cnowCeS atosS alooacS ? l

36. a) waSrttft o&d*$o?dcto <adc& jto5&33₆ >$ra3rt5

SJdOQOO. 4

b) toorredd tfOo (Gold sol) cyara* 3atoO;&>53 2an*3 c>6w3d K?5cfc$ SsSO**. 2

c) aoefcta* ? 2

d) saafctfeoa srfcS liLocaJddssi ( BCC crystal lattice unit cell) *arW *to336ak c3 ass*. 2

V. afcas$D3ddjs> dcfc sjrtert eroip* : 2x5= 10

37. a) eXitta&dsntocS p-ticslfic-ewssd* otoertarctfok aSert iofcsOJbA.eO >oci> &&. 3

Code No. 34-NS 8

38. sgp&a&c&o zSu'tizypks* sfcsk, 3pwa*otoo wfljwcfjcsw sJcfcaa ,otootoQ,

39. $&3* eslaefco&o ercste&Mnfc 250 rfo.&>e.³ 3$p3*o>o i$rfF0rtc$tt3^r zsy&stiiljSsa dd riostoratfc aSert tafcaoaodboeo ? 3&x. $ofco& owroo&Srt jfoxadfw&S udctoO. 5

U) Put A carries 10 marks. Each question carries one mark. Part B carries 20 marks. Each question carries two marks. Part C carries 40 marks. Each question carries jive marks. In Part D D _x carries 10 marks and D ₂ carries 10 marks. Each question of D _a carries five marks.

iU) Write balarifc&d chemical equations and draw diagrams wherever necessary.

PART - A

Note: 0 Answer all the 10 questions.

tl) Questions have to be answered in one word or in one sentence each. Each question carries one mark.

10 x 1 = 10

1. What is the source of noble gases ?

2. Give the general electronic configuration of d-block elements.

3. Write the IUPAC name of potassium ferricyanide.

4. What happens to the rate of reaction if temperature raises ?

5. Give a conjugate base of HCO J.

6. State Raoult's law of dilute solutions, containing non-volatile solute.

7. Name the dispersion medium present in emulsion.

8. Name the reagent employed to convert bromoethane to ethene.

9. What is the chemical name of cumene ?

10. Give an example for diying oils.

* '' A

PART - B

Note : i) Answer any ten questions.

M) Each question carries two marks. 10 x 2 = 20

11. Write the composition of the following :

a) Limonite

b) Magnetite.

12. H ₂ S cannot be dried with conc. H ₂ SO ₄. Give reason.

13. Give two uses each for Helium and Argon.

14. What are the two conditions for a carbonic compound to show geometrical isomerism ?

16. Give reason why methylamine is stronger base than ammonia.

17. What is rancidity of oils ? How can it be prevented ?

18. Calculate the rate constant of a first order reaction in which 75% of the reaction is completed in 30 minutes.

19. What is zero order reaction ? Give an example.

20. What is common ion effect ? Illustrate with an example.

21. Define entropy. How does i]t vaiy in a spontaneous process ?

22. Calculate the degree of dissociation of 0*1 M solution of acetic acid. Given K_aof acetic acid is 1 *8 x 10 " ⁵.

PART - C

I. Answer any two of the following questions :

2 x 5 = 10

23. a) Explain the rules of IUPAC nomenclature of co-ordination

compounds.

3

b) What is a ligand ? Give an example of a monodentate ligand. 2

24. a) Describe the manufacture of sodium hydroxide using Nelson's

cell. 4

b) Which one is more stable among O 2 and Oj? 1

25. a) Write the electronic configuration of O ₂ using molecular orbital

diagram. 3

b) Define radius ratio and give its significance. 2

II. Answer any three of the following questions : 3x5=15

26. a) Explain Baeyer strain theory of cydoalkanes. 4 b) What is chiral carbon atom ? 1

27. a) Describe the manufacture of phenol by cumene process. 3 b) Give any two uses of acetone. 2

28. a) Elucidate the open chain structure of glucose. 4 b) Write the Zwltterion structure of alanine. 1

29. a) Explain the following reactions :

1) Clemmensen's Reduction 2

ii) Wurtzs Reaction. 2

b) Write the IUPAC name of CH 3 CH 2 COCH 3. 1

30. a) How do you determine order of a reaction by Ostwald's Isolation

method? 4

b) What Is the unit of molar conductance ? 1

31. a) Explain the construction and working of a standard hydrogen

electrode. 4

b) Define ionic product ( K w) of water. 1

32. a) Find the pH of a buffer solution containing 0*4 mole of NH₄OH

and 0*8 mole of NH4C1 per litre of solution. Given K b of NH 4OH is 1*8 x 10 5. 4

b) Define solubility product (Ks). 1

33. a) Rusting is an electrochemical phenomenon. Explain. 3

b) Calculate the EMF of a cell consisting of standard electrodes of two metals whose SRP are - 2*38 volts and - 0-76 volts. 2

34. a) Write any three differences between ideal and non-ideal

solutions. 3

b) Give two differences between Lyophilic and Lyophoblc colloids. 2

PART - D

D,

IV. Answer any one of the following : 1* x 10 = 10

35. a) With the help of Ellingham diagram, explain why

I) Aluminium is used as a reducing agent in the metallurgy of chromium. 2

II) Carbon monoxide acts as a reducing agent in the production of cast iron from Haematite. 2

b) Mention the conditions for a process to be spontaneous in terms of AH, AS and AG values. 3

c) Write any two differences between Inductive effect and Mesomeric effect. 2

d) Which fraction of coal tar contains phenol ? 1

36. a) Give two general methods for the preparation of aldehydes. 4

b) Describe Bredig's arc method of preparing gold sol. 2

c) What is dialysis ? 2

d) Calculate the number of particles present in BCC crystal lattice unit cell. 2

15 Code No. 34-NS

*>a

V. Answer any two of the following : 2 x 5 = 10

37. a) How is p-bromoacetanillde prepared in the laboratory from

acetanillde ? 3

b) Explain Mlllon's Test. 2

38. Describe an experiment to show the effect of concentration on the rate of reaction between potassium persulphate and potassium iodide. 5

39. Describe the experiment to determine the mass of potassium permanganate dissolved in 250 cm ³ of the solution using standard ferrous ammonium sulphate solution. Write equation for the reaction. 5

(2005-06 dDSD 2006-07 ddrdfi d¹*, d/ad drrirt)

New Scheme ( For Students studied during the Years 2005-06 & 2006-07 )

Code No. 35-NS

Total No. of Questions : 38 ] [ Total No. of Printed Pages : 15

March / April, 2007

MATHEMATICS

( Kannada and English Versions )

( New Syllabus )

Time : 3 Hours ] [ Max. Marks : 90

( Kannada Version )

i) 4,4 4,X(dD0 A, B, C dDSD D 00 3D, >drtrt$d. 03

4t

>drtrt>D So.

* c _D

' cI CO 7 7 _D T5 * CO

ii) >drt - A n 10 odrt>o, - B n 20 odrt>D, - C

n 40 oXrt>o dDS >mrt - D n 20 odrtdoS d.

_0 _0

- A

X>A 0> S 0 : 10 x 1 = 10

CO _D y oi oi _0

1. 5x = 4 ( mod 13 ) ,DeddradD ,0dA,od x odD Prod d dd dodDaDO.

d/SjXDD dtSmdDeDddd ( Singular ), x d dD

6 x - 2 3 x

dodDaDO.

2.

3. |3ra3rodrt> rtra Z dDe a o b = a + b + 1, V a, b e Z aod O

ad&OTdd dDd dDd ( Identity element ) dD dodDSDO.

4. a = 2 i + 3j doD b = 3 i + 4j wdd, a + b D dOd/ra ( Magnitude )

dD dodDaDO.

ot

5. x ² + y ² + 2gx + 2fy + c = 0 0dD odD odD d ( Point circle ) OTrt <D rtw^OT ao ( g, f dDD c n>)_n ) D ?

6. y ² = - 8x dddDd aderS d deZ ( Directrix ) D ,DeddradD dodoSDO.

V3

n _

2 _ ^sin _ , 2

7. sin

d DD dodDSDO.

ot

2 _ i

8. ,oSerar ,oZ, P-: d/aod ( Modulus ) dD dodDSDO.

5 i

9. f ( x ) = x ² + X~2 d, f ⁷ ( 1 ) D_l dodDSDO.

n/4

10. dodoSDO : J sin ³ x cos x dx.

0

- B

X> A4rt> /)add 0o drt O : 10 x 2 = 20

11. a = b ( mod m ) AdD , n > 1, m odD ddFOTAd d, a = b ( mod n )

0odD srap&.

XodoSoO :

12.

- a ²	ab	ac
ab	- b ²	bc
ac	bc	- c

2

13. rtradod rtra S doe Ozd/ 3/o<o dZ XS. dP}>FoX rtra Z doed * &<O<dOD a * b = a ^b 0odo d&d3Ad. * q,d/ &<o<do 0.d)dX,

odo n3d}oO XS.

ot

A A

14. 2 i - 2j + k doO 2 i - j - 2k ,Qrt > doPXedXodoSDO.

15. ( 1, 5 ) odod) x ² + y ² + 4x + 2y + 3 = 0 dd dAd<D, >Ad<oe dd3 dd doed d<oe ddo XodoSoO.

16. odo aerd ( Ellipse ) d d,d3 Xd 0ddo oart> ( 5, 0 ) doo ( - 5, 0 ) WAd. 3x - 5y - 9 = 0 odo 3$ {3 ( Focal chord ) Add, Qerdd @eod ( Eccentricity ) XodoSoO.

1 3 n

17. ,3 : 2 tan ^{- 1} + sin ^{- 1} 5 = .

18. x = cos a + i sin a dOO y = cos p + i sin p Wdd , y ³ x ²

-2 + 3 = 2 cos ( 3p - 2a ) 0odo ,3. xy

19. x ^y = a ^x wdd, ^ddy = ^xloga^y 0odo ,3.

dx xlog x

20. y = yjx ² + x + 1 ddeZrt ( 1,>/3 ) aodOp,

oi3rtod

drXd ( Subtangent ) ddo XodoSoO.

21. sin 3x cos x x 3b0 JoJ ,d/d< ( Integrate ) d/S.

22. sreSd ,dJ<d d>od ( Origin ) > dX >dend 0 ,d> deZrt> ,dd dO ,oeddra ( Differential equation ) dR d&S.

- C

I. X> Adrt>, </ddadd dodo drt>R JPS

3 x 5 = 15

23. 408 dJd_o 1032 n> do.,3.. ( G.C.D. ) d _n0dj

deAS XodSO. 0r m, n rt> 4p}>F0Xrt>3n 408m +

1032n dddS., 0ddo Oert>0_ ad&S. x

5

1 - 1

2 - 3

y 2

24. a)

1

' 3	- 1	2 '		' 5	3	³ '
4	2	5	=	19	- 5	16
- 2	0	3 -		- 1	- 3	0 -

5

wdd, x doJ y n> rt>o Xodoao. b) X,edd* aodoaod ( Cramer's rule ) )SS 2x - y = 10 x - 2y = 2.

3

2

25. a) H rt radA< doJo ^G drtradAd. ( G, * ) o ,dda>< ( Group ) dAd . 0y ^a ^b e H rta * b ^{- 1} e H wd d, ( H, * ) d ( G, * ) d ,dbod3<dod sraps. 3

b) ,dd3< G dy dodo rt}>o ( Element ) dP Jde

dedd>Ad d G odo ( Abelian ) ,dd><dod

CO

sraS. 2

26. a) 0 ( Vertices ) ( 1, 2, 3 ), ( 2, - 1, 1 )

oo ( 1, 2, - 4 ) rt>Ad, ,Q4 d ( Vector method ) &00

-0 CO (?)

y -0 ot

b) 2 i + j - Cc , 3 i - 2j + 2Cc oo i - 3j - 3Cc rt>o

,0d3 0 ( Co-terminal ) rt>iAdo, ,/0d o$or& ( Parallelopiped ) X0)mS)O. 2

II. X> Ad)n> C/)id 0do drtrt O : 2x5=10

27. a) ( 2, 3 ) 0 do>d >oertod, Xe0o x + y = 4 deZCo

doe 0QCbd doo x2 + y2 -4x+2 y-3 = 0 0ro>A $ea,od ,&oeddrao d0oaoO. 3

b) x ² + y ² + 2x - 4 = 0, x ² + y ² + 4y - 4 = 0

x ² + y ² - 2x - 5 = 0 rt> Xe0 ( Radical centre )

d02S2O. 2

ot

28. a) ddCo ( Hyperbola )x² -3y² - 4x - 6y - 11 = 0 Co Xe0

doo e0 ( Eccentricity ) rt>o X0o&SoO. 3

b) 0 d d d <Co 4)0rt) ( Vertex ) ( - 4, 2 ) doo X$) ( Axis ) y =

2 wAdo, ( 0, 6 ) 0do dod >doedd dd , oedd rad o d0daoO. 2

ot

29. a) x > 0 doo y > 0

sin 1 x - sin 1 y = sin 1 ( x yfTy12 - y y/l - x 2 ) WAdoJd 0odo 3

b) cos x - cos 7x = sin 4x ,oeddrad ,3drd dOd ( General

solution ) do dodoSoO. 2

III. X>A /jdadti odo dnn JO : 3 x 5 = 15

30. a) ex oLx doOJoJ d,ddo deA dd. 3

b) log 10 ( log x ) x doOJoJ dd. 2

31. a) y = x cosh x wdd,

xy 2 - 2y 1 - xy + 2 cosh x = 0 0odo 3

b) x ^x Jj ( Function ) d) x = ¹ Wd3rt, dad dd ( Minimum )

<doo doad 0odo sra&. 2

ot

x + 1

32. a) dodoSoO : | 2- dx. 3

¹ x ² - 4x + 6

b) odo d< o edroA doeX, 0, (doo>Ad . do x a 0J ddo

' l~"1 cJ ft cJ

t ,Xodort> d,o,odo x = 80t - 16t ² wAd. d<o rtod 0J ddo

cr> J _o co coooct

0do, daido d,o,oJ d doJo do d,od 0J d 0do, ? 2

eJ co y _d _o y _o eo

33. a) x = a ( 0 + sin 0 ) dDD y = a ( 1 _ cos 0 ) wd d, djy dDD

_d ² _y

. 2 rt>D dodDSDO. 3

dx ²

:3 (T

b) dodDS<DO : I --o- dx 2

( 1 + x ) ²

34. 4y 2 = 9x dDD 3x 2 = 16y dd;rt$od wdad ( Bounded ) Dn/rardD dodDSDO. 5

- D

X>A /)dadd drt On : 2 x 10 = 20

a) aerd ( Ellipse ) do od odD dd ( Locus ) daA zan. dd

35.

_x ² _y ²

, Doedd rad d 2 + 7-9 = 1 ( a > b ) dd d ad&n. 6

_a 2 _b 2

' 1 2

b) XeSe-DDOjd ( Caley-Hamilton ) djdDeDd d<>eAn

3 1

d/XD DedDdD dodoSDO. 4

a) ,oSerar ,oZ₆ V3 + i 0a>Y $dDiOrt>0 dodDSDO. )rt>D_ct wnarod d eOn. rtDra ( Product) d dodDaDO. 6

36.

b) ,as dd ( Vector method ) Dod, $D&d dDd₆deZrt>D adodD

da,&</Ad 0odD ,aan. 4

6

37. a) 6 a 0d d)> dDDwD, <d dD&pod 20 a 0Sodd),dDd aodD

d> a dDoaod 4 dD><D/rto! dertdS dd ert)ldd, d d$

a) CO 0 CO "

d d /d ddd d>rtDS d ? </d ddd d$ SQ<dd S,S d ? 6

CO s*' CO _D CO _D

b) V3 cos x + sin x = V2 ,Deddrad ,3drd d0>ddD ( General solution ) dodoaDO. 4

n/2

38. a) d dodoaoO : J log sin x dx 6

0

b) d d< ,Dfddra ( Differential equation ) y log x . log y dx + dy = 0 <D ,3dr,d 40d ( General solution ) dD dodDaDO. 4

Instructions : i) The question paper has four Parts - A, B, C and D. Answer all the parts.

ii) Part - A carries 10 marks, Part - B carries 20 marks, Part - C carries 40 marks and Part - D carries 20 marks.

PART - A

Answer all the ten questions : 10 x 1 = 10

1. Find an integer x, satisfying 5x = 4 ( mod 13 ).

6 x - 2

2. If the matrix

is singular, find x.

3 x

3. On the set Z of integers if "O" is defined by a o b = a + b + 1, V a, b E Z, find the identity element.

4. If a = 2 i + 3j and b = 3 i + 4j , find the magnitude of a + b .

5. Write the condition ( in terms of g, f and c ) under which x ² + y ² + 2gx + 2fy + c = 0 becomes a point circle.

6. Find the equation of the directrix of the parabola y ² = - 8x.

7. Find the value of sin

n

- sin

- 1

8. Find the modulus of the complex number 5-7

9. Iff ( x ) = x ² + x , findf^/ ( 1 ) .

n/4

10. Evaluate J sin ³ x cos x dx.

0

PART - B

Answer any ten questions :

10 x 2 = 20

11. If a = b ( mod m ) and n > 1 is a positive divisor of m, prove that a = b ( mod n ).

12. Evaluate

- a ²	ab	ac
ab	- b ²	bc
ac	bc	- c ²

13. Define the binary operation, on a non-empty set S. Give an example to show that, on Z, the operation *, defined by a * b = a ^b , is not binary.

A A A

14. Find the angle between the vectors 2 i - 2j + k and 2 i - j - 2k .

15. Examine whether the point ( 1, 5 ) lies outside, inside or on the circle x ² + y ² + 4x + 2y + 3 = 0.

16. The two ends of the major axis of an ellipse are ( 5, 0 ) and ( - 5, 0 ). If

3x - 5y - 9 = 0 is a focal chord, find the eccentricity of the ellipse.

1 3 n

17. Prove that 2 tan ^{- 1} + sin ^{- 1} 5 = 2 .

18. If x = cos a + i sin a and

y = cos p + i sin p

y ³ x ²

prove that + 3- = 2 cos ( 3p - 2a ). xy

_{y x} dy x log a - y

19. If x ^y = a ^x , prove that -7- =-?-

dx x log x

20. Find the length of the subtangent to the curve y = yfx ² + x + 1 at the point ( 1, ) on it.

21. Integrate sin 3x cos x with respect to x.

22. Form the differential equation of the family of straight lines passing through the origin of Cartesian plane.

PART - C

I. Answer any three questions : 3 x 5 = 15

23. Find the G.C.D. of 408 and 1032 using Euclidean algorithm. Express it in two ways in the form 408m + 1032n where m, n are integers. 5

" x	2	- 3 '	' 3	- 1	² _'		' 5	3	3_'
5	y	2	4	2	5	=	19	- 5	16_'
- 1	- 1	1 -	- 2	0	3 -		- 1	- 3	0 -

b) Solve by Cramer's rule : 2x - y = 10 x - 2y = 2.

2

25. a) Given that H is a non-empty subset of a set G and ( G, * ) is a

group. If for all a, b E H, a * b - 1 E H, prove that ( H, * ) is a subgroup of ( G, * ). 3

b) If, in a group G, every element is its own inverse, prove that G is an Abelian group. 2

26. a) Using vector method, find the area of the triangle whose

vertices are ( 1, 2, 3 ), ( 2, - 1, 1 ) and ( 1, 2, - 4 ). 3

b) Find the volume of the parallelopiped whose co-terminal edges

A A A A A A A A A

are 2 i + j - k , 3 i - 2j + 2k and i - 3j - 3k . 2

II. Answer any two questions :

2 x 5 = 10

27. a) Find the equation of the circle which passes through the point ( 2, 3 ), has its centre on x + y = 4 and cuts orthogonally the circle x ² + y ² - 4x + 2 y - 3 = 0 . 3

b) Find the radical centre of the circles x ² + y ² + 2x - 4 = 0, x ² + y ² + 4y - 4 = 0 and x ² + y ² - 2x - 5 = 0. 2

x 2 - 3y 2 - 4x - 6y - 11 = 0. 3

b) Find the equation of the parabola with vertex ( - 4, 2 ), axis

y = 2 and passing through the point ( 0, 6 ). 2

29. a) If x > 0 and y > 0, prove that

sin ¹ x - sin ¹ y = sin ¹ ( x y/1 - y ² - y y/1 - x ² ) . 3

b) Find the general solution of the equation

cos x - cos 7x = sin 4x . 2

III. Answer any three of the following questions : 3 x 5 = 15

30. a) Differentiate ex with respect to x from first principles. 3

b) Differentiate log 10 ( log x ) with respect to x. 2

31. a) If y = x cosh x, prove that

xy 2 - 2y 1 - xy + 2 cosh x = 0. 3

b) Prove that xx function has a minimum value at x = 1. 2

e

x + 1

32. a) Find I 2- dx. 3

J

¹ x ² - 4x + 6

b) A stone is thrown up vertically and the height x feet reached by it in time "t" seconds is given by x = 80t - 16t ² . Find the time for the stone to reach its maximum height. Also find the maximum height reached by the stone. 2

33. a) If x = a ( 0 + sin 0 ) and y = a ( 1 - cos 0 ), find djy- and .3

J (T

b) Find I --2 dx 2

( 1 + x ) ²

34. Find the area bounded by the curves 4y ² = 9x and 3x ² = 16y. 5

PART - D

Answer any two of the following questions : 2 x 10 = 20

35. a) Define ellipse as the locus of a point. Derive the equation of the ellipse in the form

2 2

+ ^y = 1 ( a > b ). 6

_a 2 _b 2

b) Using Caley-Hamilton theorem, find the inverse of the % 1 2 '

matrix . 4

# 3 1 &

36. a) Find all the cube roots of the complex number V3 + i. Represent

them in the Argand diagram. Find their product. 6

b) Prove by vector method that the medians of a triangle are concurrent. 4

37. a.) A man 6 feet tall moves away from a source of light 20 feet above the

ground level and his rate of walking being 4 miles/hour. At what rate, is the length of the shadow changing ? At what rate is the tip of the shadow moving ? 6

b) Find the general solution of

V3 cos x + sin x = V2 . 4

n/2

38. a) Evaluate J log sin x dx 6

0

b) Find the general solution of the differential equation

y log x . log y dx + dy = 0. 4

[ Turn over

), -50 (2005-06 2006-07 F)_n S¹, /Sd )₆Frirt)

New Scheme ( For Students studied during the Years 2005-06 & 2006-07 )

Code No. 33-NS

Total No. of Questions : 40 ] [ Total No. of Printed Pages : 16

March / April, 2007

PHYSICS

( Kannada and English Versions )

( New Syllabus )

Time : 3 Hours ] [ Max. Marks : 90

( Kannada Version )

* t t ot J co co co

</>de odrt>0 ii) Pdod dd drt> ,oop /dezs,/dood doa< /)e odrt>o Xdo3rtod)S<,.

I. X>A 003 0 : 10 x 1 = 10

7 l ->

2. d3v deddraX@ ,oopoJ dod d>od aFo0 do0.

3. oo >& aea.

4. d>3 dertdo SoS androA XodoS >q>aoo ,O&.

ci 6 ra ct

5. 0d do wdert> dod oo ns Sonsrt do < od/ra ?

6. >& de S.I. d/do

7. ysoS XeS, ,4odod oo ?

8. sed⁵ rtdrt>o 0odeo ?

9. eis, oo wArfoe ro> ras, wArfoe ?

10. NAND rtei 3s3fX ,oXeSo idoO.

ot

srt - b

II. X> n)rt>, /)sd Sp : 10 x 2 = 20

11. d<odod </>4>d 0ddo ort>_ct

12. d> e Sdort <X\rao, 4%eXO, nsoSrt

13. oo drti o 244 x 10 ^{- 6} rad - ddra

tioomSoQ.

14. ansoA do Qa.

Cp ct

15. oo rteeCo sdti sdtiJCo rteCo doQ.

16. X> 4 11 oo I₃ Co drt>. tioomsoQ :

V CO 1 _> 3 =i

17. oo , > ays, oo atio,,rt> OT.Z, doQ.

cp co >J _o 6 6

18. wrti d,ds (0 tidoi) rt> oo dCert oo oo odCert $a.

ot

19. d, rt>o 0oddeo ? odo 0y, dertdo - se

_o gO) c

OTxA, J dortddd ert dortoJd ?

20. OTdo de&J, es do Jo woes rtdrt>o 0oddeo ?

21. P-d/dO d Jo N-d/dO dd>Xrt> do 0ddo d,Ja.,rt>o doO.

_D 6 6 c

22. d d*brt> ( Liquid crystals ) 0ddo djdoon riood)rt>3 rodd ?

- C

III. X> A)rt>Y /d)d o dn JO : 1x5 = 5

23. odo n d &,Xd d&edoXd rtJe3<do dd d&ed Xe dJ

0 > -e ot > -o

Xad 3dorio>Xo Xert$rt ,ooadoJ >> &.

>j _o

24. opeXdra Xe 0oddeo ? odo 3dra, doeXdra Xe, dJrtos"3rt, Sdra doJo dSjed Sdrad) odXodo dd,jd oodAdo J d 0oo JeO.

_D

IV. X> A)rt>Y /d)d 0rfo dn JO ; 2x5=10

25. 0ddo dd,_Jd ,d/oJddAdod ed d>Xrt>Y d>d"3 oi>rtod <X, rtJeS <do ddoO sart dOod woded

6 -o ot

da,Z,oo d oO.

6 6 <*

26. dd<do .adoJeido d,ed}<do a<dodort>do odo dodd) aXdd

yoJXeJd ,d>rt d}(/rt dooX X@ ( emf ) rtJeS (dodo dd oO.

_D c

27. dodoJ dO}>do .aoddedo ? dodoJ" dO}>dod d/ertd $JoSrt>do.

* ot

V. X> Add)rt> <d/d)ddd 0do drtrt JO : 2x5=10

28. odo d d d/raod e&Xeod, ( Nucleus ) d (i) dd XdJ do Jo (ii) o X srt> dlZ doO. 1 amu = 931 MeV 0odo J>eO.

29. 3d ra ><dodod o >d X@ ,oooJ N = N₀ e~^{x 1} n JeS <dodo

_0 c

30. P - N ,op<do adrdoXidodo ,&J dO. odo P - N dopidodo <d/d>rt

(i) S5eo (>d rd'r (d/,) do Jo (ii) d <dorido (Od,?r <d/," ) wAd 0do. J ed ?

C3 c{ _0

VI. X> Add)rt>, <d/d)ddd dodo drtrt JO : 3x5=15

31. 15 , o.oe. pdod odo rte>d, dd Xeod; odoaod 6 ,o.oe. d>dd odo nrto>, d. ddo rte>d dD.,d dX dd rnrtaod

co & <=i 6 _o

deSdrt do 75 ,o.oe. d>dd dodoJ JedoJ d.

CO 0

d SddoXddo w rto>_ooR JoJ ddd >rtaod deSdrt

dd od₆ ddddo XodoSoO.

32. odD 001 De. KdDd dedd rte>dD 45 kV daod wdeSrt$n dD, odD ode &ded ABC (AB = 0-3 oe, BC = 0-4 De. dDSD

ot y -0

Z. ABC = 90 ) B dD&dD<0 ddaftd. ded C dDdDod A dDdrt 2 x 10 ^{- 6} C wdeSdD do&rt>,co eyartDd dCdD,

CO <=i

dodDSDO.

33. 0- dD dyadd ,dD$rt> ,da,O 01 De. sart 005 De. wftdD

y -0 y t CO

d)rt> 0 d_;dDd>A 5 dDDo 10 ,DDondDo- 0ddD ,dD$rt>0 ddd - deod, aodDrt>D ,op,doS dDD ,dDSort>D oddodD od>ftdDdoS {es,daftd. 2A .adDddadd 0ddd dondart, d)n > , i^:d/^:w XeodjdY oiaDd yaoSdeJd dOd/do

dodDSDO.

34. &&dd ddd/raD0 odD 0dya_!D_J dad SS dD&.aod n = 4 do&.d,

co sO)cto_oeo eotr

d,e3,daAd. ddd/raD &eod>Dd S3<dDD sart> ddd/raD dd< nrt

> & -o <=i cp

dDdart Srsd 3drad SdortdddD dodDSDO.

(< dd dad SSo dDjd d = - 136 eV)

VII. d> Ad)rt>0 <d/>d)dadd o djSrt Jon : 1x5 = 5

35. De&d a,d* ,sa<DQod odD dDr,,d dedd dsa rtDraaoddb,

so ro

dodoSDDd odD d,ertd0 drn.

36. odD So ,d-dd dddSD, ed daaod AC/DC dzddrt> , saDaod Sen dodoS<dDDO 0odD don.

37. X> AS dD/eAX dO5e<n>o >sXo &e o,d d3,edsDoXdSo Xodo&SoO :

mO & &$

cr> *

,az	D (oe.)	S (j{.)
1	075	0335
2	0-90	0519

d

&?d_t	&,&e! &ja₆ (&OS.)
1	0148
2	0150

38. doI nD₆<ze/dX dXdF}>oXdSo_ct Xodo&Sooo /S d,ert X>AS dDXrt>o X>Arf.

y co t

a) T.G. ,do$(o = 7956 x 10 ^{- 2} oe.

b) ,odooY dod)> ,oZ₆ = 2.

tiaZ	)O, E) ( A )	&<& ()
tiaZ	)O, E) ( A )	⁰ i	⁰ 2	⁰ 3	⁰ 4
1.	1-5	30	30	31	31
2.	2-0	38	38	39	39

w , > S B _H S doSo XooSoO.

cp co H <=i

39. a) Coon aaeortos dCertd 0ddo ae>ortosrt> doa oSd 018 ao.aoe. wAdo do 5893 nm Sdortd>dacbd d>3>od

wsrt - d

ix. x> Ad)rt> C/d)dsdd oo dn SQa

CO ct

d>A,os>Ad. 06 aoe. ddd ,dod dddCo doe doadod

CO 0

d.etidra d.Co dododaod (i) 5e TO d, doo (ii) 3e

ti d J > ddd tiodomaoQ.

4

b) szs> od {edraCo dodo dsdtirt> dQ}sdoysQ dsdtiJCo rteSCoo, ddoQ. 4

_D c

c) d>3 detidra doJo adJrrt> doa C/d)dsdd 0ddo d,3s,,rt>o doQ. 2

6 6 oi

40. a) 3Q doo 6Q ddedrto szsodd 6V ado₆3*s<ti doSo 1Q woJQti ddedadod roQCoart {eaad. adovodod, oisrtod dd s ados d,ds 5sns 3Q do JQq 6Q

ddedrt> oisrtod ado.3*ddsrt> tiodomaoQ.

4

b) e,o (LASER) n ,oopadoS (i) w&jtio do&on doo

(ii) dsd)e 0oddeo ? e,d* 0ddo $a. 4

c) e5 ( Choke ) 0oddeo ? dd odo dCertd $a.

2

Note : i) Numerical problems solved without writing the relevant formulae carry no marks.

ii) Answers without relevant diagram / figure / circuit wherever necessary will not carry any marks.

PART - A

I. Answer all of the following questions : 10 x 1 = 10

1. What is the principle of an optical fibre ?

2. Write the condition for constructive interference in terms of path-difference.

3. Define specific rotatory power of an optically active solution.

4. Name the scientist who determined the speed of light most accurately.

5. What happens to the magnitude of the force between two charges if a glass plate is interposed between them ?

6. Mention the S.I. unit of resistivity.

7. Does a neutron experience a force in a magnetic field ?

8. What are 'Fraunhofer lines' ?

9. Is proton a Lepton or a Hadron ?

10. Write the logic symbol of NAND gate.

PART - B

II. Answer any ten of the following questions : 10 x 2 = 20

11. Mention any two factors on which lateral shift depends.

12. Name the theories of light in support of its wave nature.

13. Calculate the resolving power of a telescope whose limit of resolution

is 2-44 x 10 ^{- 6} rad.

14. State and explain Gauss' theorem.

15. With a labelled diagram, write the expression for the capacitance of a

spherical capacitor.

16. In the figure shown below find I ₁ and I ₃ .

17. Define the terms ' Declination' and ' Inclination', at a place.

18. Write one advantage and one disadvantage of eddy currents.

19. What are matter waves ? How does the de Broglie wavelength of an electron change if its velocity increases ?

20. What are 'Stokes' and 'anti-Stokes' lines in Raman spectrum ?

21. Give any two differences between P-type and N-type semiconductors.

22. Mention two major classifications of liquid crystals.

PART - C

III. Answer any one of the following questions : 1 x 5 = 5

23. Derive an expression for the refractive index of the material of a prism in terms of angle of the prism and the angle of minimum deviation.

24. What is polarising angle ? Show that the reflected and refracted light rays are mutually perpendicular to each other at the polarising angle of incidence.

IV. Answer any two of the following questions : 2 x 5 = 10

25. Derive an expression for the force between two parallel straight conductors carrying current and hence define 'ampere'.

26. State Faraday's laws of electromagnetic induction. Derive an expression for emf induced in a rod moving in a uniform magnetic field.

27. What is photoelectric effect ? Mention the experimental conclusions on photoelectric effect.

V. Answer any two of the following questions : 2 x 5 = 10

28. Define (i) mass defect and (ii) binding energy of a nucleus.

Show that 1 amu = 931 MeV.

29. State the law of radioactive decay and hence prove that N = N 0 e ^-xt with usual notations.

30. Explain the formation of P - N junction with a diagram. When is the P - N junction said to be (i) forward biased and (ii) reverse biased ?

VI. Answer any three of the following questions : 3 x 5 = 15

31. A glass sphere of radius 15 cm contains a small air bubble at a distance of 6 cm from its centre. When viewed along its diameter from the nearest side, the bubble appears to be 7-5 cm. Calculate the refractive index of glass and the apparent distance of the bubble from the farthest side.

32. A metal sphere of radius 0-01 m is charged to a potential of 45 kV and kept at the corner B of a right-angled triangle ABC ( AB = 0-3 m, BC = 0-4 m and L ABC = 90 ). Calculate the work required to shift a charge of 2 x 10 ^{- 6} C from corner C to corner A of the triangle.

33. Two circular coils of mean radii 0-1 m and 0-05 m consisting of 5 turns and 10 turns respectively are arranged concentric to one another with their planes at right angles to each other. If a current of 2A is passed through each of them, calculate the magnitude of the resultant magnetic field at their common centre.

34. An electron in hydrogen atom in the ground state is excited to n = 4 state. Calculate the energy absorbed and the wavelength of the electromagnetic radiation emitted when the atom comes to ground state.

( Ground state energy of H ₂ = - 13-6 eV )

VII. Answer any one of the following questions : 1 x 5 = 5

35. Describe an experiment to determine the temperature coefficient of resistance of a thermistor using metre bridge.

36. Describe how you determine the self-inductance of a coil by direct method using A.C./D.C. meters.

VIII. Answer any one of the following questions : 1 x 5 = 5

37. Using the following experimental observations, calculate the refractive index of the material of convex lens.

Shift Method

Trial No.	D ( m )	S ( m )
1	0-75	0-335
2	0-90	0-519

Boy's Method

Surface	Radius of curvature ( m )
1	0-148
2	0-150

38. The following readings are recorded in an experiment to find the reduction factor of a tangent galvanometer.

a) Radius of the coil of T.G. = 7-956 x 10 ^{- 2} m.

b) No. of turns = 2.

Trial No.	Current ( A )	Deflection ( degrees )
Trial No.	Current ( A )	0 1	0 2	⁰ 3	⁰ 4
1.	1-5	30	30	31	31
2.	2-0	38	38	39	39

Find B _H at the place.

PART - D

IX. Answer any one of the following questions : 1 x 10 = 10

39. a.) In Young's double-slit experiment the two slits 0-18 mm apart are illuminated by light of wavelength 589-3 nm. Calculate the distance of (i) 5th bright and (ii) 3rd dark fringes from the midpoint of the interference pattern obtained on a screen kept 0-6 m away from the slits. 4

b) Obtain the expression for effective capacitance of three capacitors connected in parallel. 4

c) Give two differences between interference and diffraction. 2

40. a) Two resistances of 3Q and 6Q are connected in parallel with a

battery of emf 6V and internal resistance 1Q. Calculate the main

current through the circuit and the currents through

3Q and 6Q. 4

b) What is (i) optical pumping and (ii) population inversion, as related to LASER ? Mention two characteristics of LASER. 4

c) What is a choke ? Mention one use of it. 2