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    MODEL QUESTION PAPER

    SECOND SEMESTER B.Sc. COMPLEMNTARY COURSE

    Time 3 hrs. Total weightage: 25

    Section A

    (Answer all questions)

    (Each bunch of question carries a weightage of 1)

    1. A person says that he measured the acceleration of a particle to be non-zero while

    no force was

    a) He is a lair b) His clock might have run slow c) His metre scale might have

    2. The potential energy of a particle in a certain field has the form U = - where a

    and b are

    constants, r is the distance from the centre of the field. The distance of the particle

    in the stable

    1

    1

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    a) a/b b) a/b c) 2a/b d) -2a/b

    3. For a conservative force F

    a) b) c) d)

    4. A person standing on a rotating platform with his arms stretched. When he puts

    his arms down. The

    a) Increases b) decreases c) remains the same d) cannot be

    predicted

    5. The mass of an electron becomes double its rest mass. Then the velocity of the

    electron is

    a) b) 2c c) d) c

    6. A sphere of radius R is in its proper frame is moving with half the velocity oflight. When viewed

    by an observer in a lab frame it looks like

    a) A sphere b) an ellipsoid c) a paraboloid d) a hyperboloid

    2

    2

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    7. On the annihilation of a particle and its antiparticle the energy released is E.

    What is the mass of

    a) E/c2 b) E/2 c2 c) E/c d) E/2c

    8. Two pendulums oscillates with a constant phase difference of 900 and same

    amplitude. The

    maximum velocity of one is V. The maximum velocity of the other is V+x. The value

    of x is

    a) 0 b) V/2 c) V/3 d) 2/3 V

    9. The motion of a particle is given by x=Asin wt + B cos wt. The motion of the

    particle is

    a) S.H.M. b) S.H.M. with amplitude A+B c) S.H.M. with amplitude

    d) S.H.M. with amplitude2+B2

    10. When sound is propagated from one medium to another, the characteristic

    of sound that remains

    been longer than the standard d) He might have used non inertial frame

    a) Wavelength b) velocity c) frequency d) none of these

    3

    3

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    11. The phase velocity is given by

    a) w/K b) E/P c) c2/v d) all are correct

    12. The principle of electron microscope and S.T.M. are based on

    a) Quantum tunneling, de Broglie hypothesis

    b) de Broglie hypothesis, Quantum tunneling

    c) Both on de Broglie hypothesis

    (1/4*12=3)

    SECTION B

    Answer all questions.

    13. Define inertial and non- inertial frames and give examples.

    4

    4

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    14. What is a non- conservative force? Give two examples.

    15. State and explain law of conservation of angular momentum.

    16. What are the postulates of relativity?

    17. Write down an expression for damped harmonic oscillator and explain the

    symbols.

    18. What is S.T.M. Write down its principle?

    (6*1=6)

    SECTION C

    Answer any four.

    19. Water in a river moves east at 6kmh-1 and a boat heads north at 8 kmh-1 with

    respect to water. Find

    the velocity of the boat with respect to ground.

    20. Show that the force F= yz+zx+ xyk is conservative.

    5

    5

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    21. Caculate the speed of an electron which has kinetic energy 2MeV. m0 = 9.1*10-

    31kg.

    22. A particle of mass mkg lies in a potential field given by V= 200x2+ 300J kg-1.

    Find the frequency and

    23. If the pressure amplitude is 0.5 N/m2 for a plane harmonic sound wave of

    frequency 1000Hz.

    Calculate the pressure amplitude. Atmospheric pressure 1.01*105 N/m2, =1.4 and

    v= 340 m/s.

    24. (x)= A sin kx, P=-i. Find the corresponding eigen value.

    (4*2=8)

    SECTION D

    Answer any two.

    25. Derive Lorentz transformation equations.

    26. Set up a differential for damped harmonic oscillator and solve it.

    27. What is a plane progressive wave? Derive an expression for energy density ofsound wave.

    6

    6

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    28. What is a wave function? Deduce the time dependent Schrdinger equation.

    (2*4=8)

    II Internal Examination

    1stSemesterB.Sc Degree Examination , November 2013

    Complementary Course PH1 C01 : Properties of matter & thermodynamics

    Time: 3 hours Total weightage : 30

    Section A

    (Answer all questions)

    1 The efficiency of a Carnot engine is 100% when the temperature of the sink is -----

    2 In an adiabatic process, temperature a) increases b) remains constant c) increases or decreases

    3 Helmholtz free energy remains constant in a ---------process

    4 Write down the unit of entropy.

    5 In which process of Carnots cycle , heat is absorbed from the source i) isothermal expansion

    ii) isothermal compression iii) adiabatic expansion iv) adiabatic compression

    6 Which of the following is called isentropic process--------i) Isobaric process ii) Isochoric process

    iii) Isothermal process iv) Adiabatic process

    7 What is the efficiency of a Carnot engine working between the 400K and 300 K ?

    8 Work done in a cyclic process is equal to . i) zero ii) Infinity

    iii) Area of the cycle on P-V diagram iv) External work

    9 Which of the following is also called tephigram i) P-V diagram ii) T-V diagram

    iii) P-T diagram iv) T-S diagram

    10 Enthalpy H = --------- i) U - PV ii) U + PV iii) -U-PV iv) U + PV

    11 Gibbs function is i) U + PV ii) U - TS iii) A TS iv) H - TS

    12 Entropy of a system remains constant inprocess i) reversible ii) irreversible

    iii) none of these.

    Total weightage 12 x = 3

    7

    7

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    Section B

    (Answer all 9 questions, each has weightage 1 )

    ( 9 Short answer type questions)

    13 State Zeroth law of thermodynamics.

    14 Give the mathematical statement of first law of thermodynamics.

    15 What is coefficient of performance of a refrigerator?

    16 How is entropy and disorder related?

    17 Explain quasi static process.

    18 Define the efficiency of a heat engine

    19 State the principle of increase of entropy

    20 What is a T-S diagram ?

    21 What are thermodynamic functions?

    Total weightage 9 x 1= 9

    Section C

    (Asnwer any 5 questionsb each has weightage 2)

    (5 short essays/ Problems)

    22 What is the efficiency of a Carnots engine working between the ice point and steam point.

    23 Calculate the change in entropy when 5 Kg of ice is completely converted to water at its melting

    point 273 K . Latent heat of ice = 335 x 103J/Kg .

    24 Calculate the coefficient of performance of an ideal refrigerator working between -200C and

    300C

    25 State and explain second law of thermodynamics

    26 A quantity of dry air at 270 C is compressed adiabatically to half its volume. Calculate the change

    in its temperature. (= 1.4 )

    27 Derive Clausius-Clapyeron equation

    28If 1g of water is converted to steam, the change in specific volume is 1670cm3/g .At what pressure

    will the water boil at 1500C ( L of steam = 540 cal/g )

    Total weightage 5 x 2 = 10

    Section D

    (Answer any 2 questions , each has weightage 4)

    (2 long essays)

    29

    For an irreversible cycle the entropy increases whereas for reversible cycle there is no change in

    entropy .Prove these statements.

    30 State and prove Carnots theorem

    8

    8

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    31 Derive Maxwells thermodynamic relations

    Total weightage 2 x 4 = 8

    9

    9