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  • 8/7/2019 Physics -I Paper

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    DISTRICT RESOURCE CENTREMAHBUBNAGAR

    PRE-FINAL EXAMINATIONS - JAN / FEB -2011

    PHYSICS - Paper ITime: 3 hrs Max. Marks 100

    SECTION A

    I. Answer all questions. 4 x 15 = 601. (a) Define the divergence of a vector field.

    State and prove Gauss divergence theoremOr

    (b) Obtain an expression for the motion of a rocket under constant gravitational field.

    2. (a) What is precession? Derive an expression for precessional velocity of symmetric top?Or(b) Explain Michelson Morley experiment.

    3. (a) Explain the torsional pendulum and obtain an expression for rigidity modulus of thematerial of a given wire.

    Or(b) Analyse the square wave using Fouriers theorem.

    4. (a) What are the transverse waves? Obtain the equation for the velocity of a transversewave in a stretched string.

    Or(b) What are ultrasonic waves? Explain the production of ultrasonics by

    magnetostriction method.

    SECTION B

    II. Answer any four questions. 4 x 5 = 20

    5. Explain the scalar and vector fields.

    6. Write Keplers Law.

    7. Prove the conservative force is equal to the negative gradient of potential energy.

    8. Obtain an expression for the equation of continuity.9. State two postulates of special theory of relativity and write the Galilean

    transformation equations.

    10. What are shock waves? What is Mach number?

    11. Define the impact parameter and scattering cross section.12. What is relaxation time? And write the equation for mechanical energy of damped

    harmonic Oscillator?

    (P.T.O.)

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    2

    SECTION C

    III. Solve any four problems 4 x 5 = 20

    13. If ( x , y, z) = 3 x 2 + yz 3 + z then find the value of

    at (2, 1, -2)

    14. the youngs modulus for steel is 2 x 10 11

    2mN

    and its rigidity modulus is 8 x 10 10 2mN

    .

    Find the poissons ratio.

    15. Find the fundamental frequency of a string of 50cm length and mass of 5gram. When400N tension is applied.

    16. The K.E of metal disc rotating at a constant speed of 5 revolutions per second is

    100 J. Find the angular momentum of the disc

    17. If the earth be one-half of its present distance from the sun what will be number of days in a year?

    18. In the laboratory the life time of a particle moving at a speed of 2.8 x 10 10 Scm

    is found to

    be 2.5 x 10 -7S, find the proper life time of the particle.

    19. A peiogo electric crystal has a thickness of 0.002m. If the velocity of wave in crystal is5750 m/s, calculate the fundamental frequency of crystal.

    20. The Q-factor of a sonometer wire is 2.2 x 10 3. On plucking it executes 210 vibrations

    per second. Calculate time in which the amplitude decreases to 2e

    1of the initial value.

    - - -

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    DISTRICT RESOURCE CENTREMAHBUBNAGAR

    PRE-FINAL EXAMINATIONS - JAN / FEB -2011PHYSICS - Paper I

    Time: 3 hrs Max. Marks 100

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    ` 2`

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    d # q : @ T d eTd \qT k~ +# TeTT. 4 I 5 R 20

    13. ( x , y, z) = 3xy 2 + yz 3 + z q

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