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Gujarat University 2005 B.Sc Physics First Year - Question Paper

Tuesday, 14 May 2013 10:50Web


FYBSC Physics-II New

Seat No.

FB-04

Physics Paper-II (New Course)

Time : 3 Hours]

[Total Marks : 70


*l*Hl : (1) -.i UM-U 0lSL LiL-L $.

(2)    ymiHi-ii vmBid Hi .

(3)    >"HSLl HL> WlRci Hi Ji-M-U Sl $.

(a)    %iiCR LrLC-L-i H-l &lF*W.--2 LrLC-L-i %imc|l H--L-U    Kcl.

1.


7

4

3

6

6

2


(b)    LlCL. Hii ll>lclL.

(c)    Ra226 -ii    1620 c.L $ h-L U238 -ii Hci-j 4.5 x 109 q>i . hl JR-ll 1 oiLH U238 LL-i li-Lc-i OiLHfeci Llcl-llL C-LL Ra226 -i SA lLlL.

WWl

(a)    *ili cii -LLL "i-[iSll-U [cAri-t Hl L-il Pm .4.

1.


(b)    Stei [c.q.rL-t-U HM Hl OHSl irll fiCL-i. &rl HL[rL -'Ll-L .Wic!.

(c)    -M-U LiliSli JiL i:

(1) 7N13 6C13 + - + - (2) 6C14 7N14 + - +

(a)    R-L iLsLl iULl. JifcU-LHl [clrLJicLL-il c|[ i.-j i?L Kcl.

6

5

3

8

3

3

7

4

3


(b)    Mol'iib' cii ikl-i. Cl $llHciL-{l &rl %imcL\.

(c)    LiLclCL Ll-il JWloLHl A.F.O. il-ll 1 kHz HlCrl CLLoj, Jilil r iSi-tHi. Hd HiLHL Hi. irll IrLCL-i-i. [*-i(?L icicii C1 = 0.2 |F, R2 = 500 Q H-l R3 = 1000 Q L"iciL Jii rll i*M.L-j    olsLL.

Hlcll

2.    (a) J|Sld3.0l .[iaSl-il UU-L -M H-l rl-j il4 aWld. iULl. JiM (Idc), RMS

Jicii (Irms), &ui Hi (y) rLi> iULl. Hia qlc'> (Vdc) iia-ti >ii Kcl.

(b)    Ri [iaSL*R-ll UU-L -Ul rl-i ilL .Wic!.

(c)    3>-R illii JR rLLJiil-L-il HR .Wld.

3.    (a) [cirl [||cil HaCl ?i ? [cirL .cil-il -R-U [S.-H ($-l[rLHL-t-i .4.

(b)    ["bl ( e" ) H-l [c|>'[$-l[rlHl-i () cM-ll Liti iqql.

(c)    4 (la-{l HL> tiicirLL y.HHL> CLilSL-il Hi (MM- JR +40 C-Lh H-l MM

(MM- JR -20 CiH (AHR liCLL . Lll (MM- JR [$-L[?LlL-1. lM. Hi (MM- JR +2 CiH [cilL H-irl HrlM CLlcicii i Hir. il4 Llli.

(K = ~ = 9 x 109 mks) v 4 ns    7

2.

E

3.    (a) h1aite3 Mad $j. ? hXltlla y.i-l y.iAiA<a (3>l W = y J E2 5t $ Ih

llCil 3\.    6

(b)    Hcm'M M-l -i-l U-L-l Hl KHML-*Mal (Clausius-Mossotti) -j

*1?i *m\.    6

(c)    [c%i C-Liti M-l [c%i rlcil-ll ciiL"LL Mini.    2

4.    (a) L3Hi ollscleiL &i 6-olhM -3-lL fo-M xi[.LLil HsirLL *ii- >l

. n5

sin T

Er = nE =


. 5

n sin 2

(b)    -a-l-li ciCili-Ll *1---ll MSiirl li4L?L-d ri3.oL<a&u6 *11- ?l *m\ M-l iwloi-i cii-i 31.    4

(c)    a-L-il 3M-U Mi H1loi*il MLULrL 1ihLL-il rL3.oL<rlHL6 5000 A $. XRLq.ri-1-ll

H.rll 3MhL -tiift MUMKirL loi-il ciiii 1 l.ift. $. MiX-ClL &-H-ll ci'LL Bmi oiLl.    4

MWl

4.    (a) Uiriqi *ri-lL XRLq.rl-1 [noi*i'i -i. cl[ih.L aWld M-l XlhLlll U-lrLSLcid

*iia-l 9l *m\.    6

(b)    HltfiGRK tf-a3.Ma3 Miiri XlhLL-il d3.oL<rlHL6 $lUlciL-ll 3ld .Wic!. 5

(c)    HltfhettM. tf-a3MadL Mh Vli\oilL Mh m3M 0.08 *Ml*1la3 *-lLdld3 h3 cM.l3. mua XR-ll 250 L<aihiMl UR 8lLi $ rll XihLL-il dSpKHHL SlM.    3

5.    (a) Mxl["lrL [h*iril y.Wicil-1 M3-a (Ehrenfests theorem) -ll 11*11 3ii[$ld h3.1. 8

(1)    -ll-l -iMd-lL dLft hi-l hciLL ? Ml doilM *iia 1-0. TltfciCrl-i -iMC-LLi-l Ciioi xiil.

(2)    R-R IMTmI $ ? %L*Liil cirli Md llQ-3 %LUh3J3L dRcil,

(3)    l\Q->RdL L*1lh3L-ll ClL"i[Lh rilMl il

MWl

5. (a) -ha-il li*iloi ciicil.    4

(b)    hiixia-l ML3 (Compton effect) MaCl ? h\*-Uad ML-ll Xihftd [cl[hL MLd[rl *iia-l ?l *m\.    5

(c)    *U*l XCll-il -k3l xi3.8il 3lCl--L-il 1i*l1 ri-LL (ci-H-ll Xl*1L i! ri-lL rl-lL *iia l ?l ri-ii MLCl"L -Sltd    5

Physics Paper-II (New Course)

All questions carry equal marks. Symbols have their usual meaning. Figures to the right indicate marks.

Time : 3 Hours] Instructions : (1)

(2)

(3)


[Total Marks : 70


Explain secular radioactive equilibrium and transient radioactive equilibrium and obtain necessary formula.

Explain Miller indices.

Half life time of Ra226 is 1620 years and that of U238 is 4.5 x 109 years. From this find the mass of Ra226 in secular radioactive equilibrium with 1 gm of U238.

OR

Obtain Braggs law for diffraction of x-rays by crystal.

Explain, with figure, rotating crystal method to study the crystal diffraction by crystal method.

Complete the following equations :

(1) 7N13 6C13 + - + ----(2) 6C14 7N14


(a)

(b) (c)


1.


7

4

3

6

6

2


(a)

(b)

(c)


+


+


(a)

(b) (c)


Derive the formula for growth of current in R-L d.c. circuit.

Explain the method to find capacitance using Schering bridge.

In a Maxwell bridge, minimum sound is heard in the head phone when 1000 Hz frequency is applied by A.F.O. to the circuit with C1 = 0.2 F, R2 = 500 Q and

R3 = 1000 Q. Calculate inductance of the coil.

OR

Draw the circuit diagram of full wave rectifier and explain its working. Derive formula for D.C. current (Idc), RMS value of current (Irms), Ripple factor (y) and

D.C. output voltage (Vdc).

Draw the circuit diagram of bridge rectifier and explain its working.

Explain effect of temperature on zener diode.


6

5

3


(a)


8

3

3


(b)

(c)


3. (a) What is electric dipole ? Obtain the formula for the potential at a far away point from the electric dipole.

7

4


(b) Obtain the relation between electric field (E) and electric potential ().

3.    (a)

(b)

(c)

4.    (a)

(b)

(c)

4.    (a) (b) (c)

5.    (a) (b)

5. (a) (b)

(c)


capacitor W = '2 J E2 5t.


Derive formula ER = nE =


. 5

n sin 2


point due to coherent sources arranged in array.    6

Obtain the expression for the wavelength of unknown light using Newtons rings and describe experiment.    4

The diameter of 10th Newtons dark ring is 1 cm. If wavelength used is 5000A, find the radius of curvature of this lens.    4

OR

Explain the interference in the reflection region of thin film and obtain the expression for the optical path-difference.    6

Explain the method of finding the wavelength of unknown light by Michelson interferometer.    5

In a Michelson interferometer experiment a mirror is displaced by 0.08 mm, then 250 fringes are shifted. Calculate the wavelength of light used.    3

Explain expected values and hence obtain Ehrenfests theorem.    8

Write any two :    6

(1)    What is non-normalization wave function ? Apply box normalization for it.

(2)    What are steady state conditions ? Derive Schrodingers equation which is independent of time.

(3)    Discuss characteristics of Schrodingers equation.

OR

Describe Frank-Hertz experiment.    4

What is Compton effect ? Obtain the expression for the frequency of scattered radiation in Compton effect.    5

Discuss Rayleigh-Jeans theorem and Weins theorem on the basis of

Max Plancks theory. Show its necessary formula and graph.    5


+40 coulomb on one vertex and -20 coulomb on the other vertex of an equilateral triangle are placed. Length of each side is 4 mt. Find the potential at the third vertex. Find the work to be done to bring +2 coulomb charge from infinity to this vertex.

(K = = 9 x 109 mks) v 4 ns0    7

OR

What is capacitor ? Obtain the expression for the energy stored in a charged

Ec 2

Obtain Clausius-Mossotti equation for non-polar liquids and solids.    6

Give definition of electric flux and electric quadrupole.    2


for the resultant intensity at a far distant


. n5 sin -T-


FB-04

Physics Paper-II (Old Course)

*l*Hl : (1) -.i UM-U [Si LLL-i .

(2)    aailHVti lilClrl H-l .

(3)    Hil Hl> fcSliciCi Hi UM-U [Si .

1. (a) MlCR Hii aWld.    4

HWl

1.    (a) *ll$l=Miiqy.H>'l=ll t = 1 Hm\.    6

(b)    Oi .(MHiaiRal HaCi ?[ ? 3-rU-u vwfci-i ql-t ii.    5

(c)    Ra226 -ii Hlc[-iiiq 4 days rll rVii .(MH&a=i [=LH>H Hii SlM.    3

2.    (a) R-C Lsll iUll. Tl[.i[-i*li C MR-U PlHR-fl. t,[&i Hl-[ ?i Hml    6

HWl

2. (a) H&iVl .&aSWR-{l il4ui[?l .Wld Idc, Vdc H-i Irms -il J/Hi H[qci\.    5

(b)    <iil> .&aSWR-ll uftu-i -M A-. i l4 awid A-U cm-atecUM Ci"ii.    5

(c)    -tli-i-ti ilHiii Ci"il H-i %i*i>ricit.    4

LlL--lL    y.iCdd    Mm\ 4-l d Hli [cliCd yMiil Mwd.    7

iMa 4-l    =LL"lL 4lUl.    LL-l fliWlAci Sl Hl Mm\. 7

3. (a (b

3.    (a (b (c

4.    (a (b (c

4.    (a (b (c

5.    (a (b

5. (a (b (c


4l=ll

4c[k    4-l -id. il-L-l Hl Cl\[llL-llLlai (Clausius-Mossotti)

M[qci[.    6

LlCliraii HLmA c[1>"1[[[ [rti. dmd. cHlL.-li >6-lddl ap = "p, "en -.W. [m[ -LlcCl.    4

cO.>"bl (IE) 4-l cli>[$-[[rM[L-[ () cldl [[t[ M[qcil.    4

-a-tdl cleml c[[- 4lUl 4-l i[-[r[LclrL = R + | Hia-. MLc[\.    Lli 4-l

[cHMi c[[i.L--ll $Rd C["l\.    6

HliCRl-i tf-aMadl CLlLrL, Vl-ll 4-l id4 illCrl Wld    5

Ottl 'H-fl. UiiRld 4-l 4HiiRld -addl cldll Hia [llL-l p'lxR llll.    3

4-1=11

-l[rlil 4aC[ $j. ? S. [Sic[r[ S-olhmM S,mdl dll Ui-l MA il 4i

(Si4 4lUld -lLl rl2 4l [S 4ll. [[1 Hcldl Hia-. *[/?[ M[c[\.    6

S[ Cl-L-iL rbl-l. LMLrlCl CdSA Hia-. Mm\.    4

>lil CHH M[La *["1 i-[ 4-l [Sl4l (principal points) 4l[?lHl    -Wl. 4

i1.Mi[a--[ 4*R (Compton-effect) 4aC[ $j. ? MM-uad 4*R-ft yMd    [citil-l.

4Ld[rl MLla-l >[ Mml    6

iHs'iei Mnd-l aMll qld ii 4-1 n = b Mmi    8

4-1=11

M[irLil Miia-i llQ->R-i. 4i UlfcHlli dl y.Mlil Mm\.    7

4LilC'l dl[k dMcilld 4'li (A) ?lM.    3

ii-SLlaicll-ll 4Pldi %l*l>'[c[l.    4

Physics Paper-II (Old Course)

[Total Marks : 70

(1)    All questions carry equal marks.

Instructions :


(2)    Symbols have their usual meanings.

(3)    Figures to the right indicate marks.

1. (a) Explain Miller indices.    4

(b)    Obtain Braggs law for diffraction of X-rays by crystal.    6

(c)    Explain with figure different types of lattice for a cubic system in three dimensions.    4

OR

1. (a) Explain average life time and obtain t = 1    6

(b)    What is artificial radioactivity ? Describe Rutherfords experiment.    5

(c)    Find out the radioactive decay constant of Ra226 whose half life time is 4 days.    3

(a)    Obtain an expression for the growth of charge when R and C are connected to

d.c. source to form a series circuit.    6

OR

(a)    Explain working procedure of half wave rectifier and obtain formula for Idc, Vdc

and W    5

(b)    Draw the circuit diagram of bridge rectifier and explain its working. Write advantages and disadvantages of it.    5

Give definition of capacitor and farad. Obtain the expression for the energy stored in a charged capacitor.

OR

3. (a (b


7


6


Obtain Clausius-Mossotti equation for non-polar liquids and solids.

3.    (a (b

(c

4.    (a


Show that the surface density of polarisation charges in the substance is

p = P, n

4


Obtain the relation between electric field (E) and electric potential ().

4

Give the theory of Newtons ring and obtain the expression for the path, path-r2 X

difference = r + 2 . Write the condition for constructive and destructive interference.    6

Describe principle of construction and working of a Michelson interferometer. 5 Find out the ratio of radii of 3rd bright and dark Newtons ring.    3

(b

(c

4.    (a

(b

(c

5.    (a (b

5. (a (b (c


OR

What is interference ? The waves emitting from two point sources are incident on the screen at a point P. Obtain the expression for intensity.    6

Obtain the expression for the equivalent focal length of two lens system.    4

Draw figure to show the principal focii and the principal points of a thick lens. 4

What is Compton effect ? Obtain the expression for the frequency of scattered radiation in Compton effect.    6

kb

Describe Sommerfield model in short and derive the expression n = a    8

OR

Obtain one dimensional Schrodinger equation for a free particle.    7

Calculate Normalization Constant (A) for a given wave function.    3

Explain de-Broglies hypothesis.    4

FB-04    9    P.T.O.







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