Veer Narmad South Gujarat University 2011-1st Year B.Sc Physics SB-0620 - 1 - Question Paper
SB-0620
[Total Marks : 70
First Year B. Sc. Examination
March / April - 2011
Physics : Paper - I
Time : 3 Hours] :
""'N Seat No.:
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Name of the Examination :
F.Y. B. SC.
Name of the Subject:
PHYSICS - 1
-Section No. (1,2,.....): NIL
Student's Signature
-Subject Code No.
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Instructions : (1) As per the instruction no. 1 of page no. 1.
(2) Student can use non programmable scientific calculator wherever necessary.
(3) The symbols used in the question paper have their usual meaning.
(4) The numbers to the right indicate full marks carried by the question.
1 Answer the following questions in brief : 10
(1) Write the statement of Newtons second law of motion.
(2) Define radius of gyration.
(3) Write theorem of parallel axis regarding moment of inertia.
(4) What is longitudinal strain?
(5) Why there is less diffraction of ultrasonic waves compare to audible sound waves?
(6) What is isothermal expansion?
(7) Latent heat of ice is 80 cal/gram. Give its meaning.
(8) Wavelength of a wave is X Define its wave number and wave vector.
(9) When does the daughter element is said to be in permanent equilibrium?
(10) What are x-rays?
(b) A bomb is allowed to fall from an aeroplane flying at 5 a height of 490 m with a horizontal velocity of 360 km/h. How long will it take to reach the ground? What will be its velocity when it strikes the ground? (Gravitational acceleration g = 9.8 m/s1).
2 (a) Write and derive perpendicular axis theorem for 7
moment of inertia.
(b) A solid sphere having mass 2.0 kg and radius 0.2 m 5 rotates about an axis passing through a point which is 0.1 m away from its centre. Calculate its moment of inertia with respect to above mentioned axis. If its angular speed is 4 n rad/s, calculate its rotational kinetic energy.
On
3 (a) Prove that Youngs modulus Y =- for an 7
3K + r\
elastic body.
Where K = Bulk modulus
T| = modulus of rigidity
(b) Youngs modulus and Poissons ratio of a metal are 5 16 x 1010 N/m2 and 0.30 respectively. Find the modulus of rigidity and compressibility for a given metal.
3 (a) What is cantilever? Derive an expression for the 7
depression of the loaded free end of a cantilever having ineffective weight.
(b) One end of a light cantilever having length of 50 cm 5 is fixed. If a weight is applied at free end, its free end is depressed by 1 cm. Find the depression of its midpoint.
4 (a) Derive differential equation of wave motion. Compare 7 wave velocity and particle velocity.
(b) Displacement of a particle at time t is represented 5 by y - A coswt + B sinat. Prove that it performs simple harmonic motion. If A = 6 cm, B = 8 cm and co = 2n rad/s. Find the amplitude and maximum velocity of this particle.
4 (a) What is magnetostriction? Describe a method of 7
producing ultrasonic waves using magnetostriction method.
(b) A quartz crystal of thickness 0.001 m is vibrating at 5 resonance. Calculate the fundamental frequency. Youngs modulus and density of quartz are 8 x 1010 N/m2 and 2.65 g/cm3 respectively.
5 (a) Explain entropy. Prove that the change in entropy 7
is zero for a complete reversible process. But entropy increases in an irreversible process.
(b) 100 g of water at 0C is mixed with an equal mass 5 of water at 80C. Calculate the resultant increase in entropy, (specific heat of water = 1 Cal/gC)
5 (a) Write first law of thermodynamics. Obtain change in 7 entropy in terms of pressure for an ideal gas using it.
(b) Calculate the increase in entropy when 5 g of ice at 5 (10)C is converted into steam at 100C.
Specific heat of ice = 0.5 cal/gC Specific heat of water = 1 cal/gC Latent heat of ice = 80 cal/g Latent heat of steam = 540 cal/g.
6 (a) Derive law successive disintegration for radioactive 7
elements.
(b) If 30% of a radioactive material decays in 10 days, 5 what percentage of the original material will be left after 30 days ?
6 (a) What are hard and soft x-rays? Derive Braggs law 7 for X-ray diffraction in crystals.
(b) The K line from molybdenum has a wavelength of 5
0.7078 A. Calculate the wavelength of the line of copper.
Atomic number of molybdenum = 42 Atomic number of copper = 29.
SB-0620] 8 [ 3700 ]
(a) Describe horizontal and vertical motion of a projectile. 7
Prove that the trajectory of the projectile is parabolic in shape. Derive equation of time for a projectile reaching maximum height.
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