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PATLIPUTRA UNIVERSITY, , B.Sc. Part-l, , (Hons., Pass & Subsidiary)
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‘, , (1), , , , , , , , “B.Sc. PART-| : (HONS.), 2009, , , , w, , wm, , pn, , 10., , 11., 12., , ay, , _ transformation formul, , ~space. Distinguish between Minkowski space ani, , . Explain the principle of virtual, , PHYSICS (Hons.) PAPER I, 2009, ieee 2 Establish the Lorentz, , 5 special theory of relativity the I, Polat es ‘ t of time dilation and, , What are postul, as. Hence, explain the concep, , tions as four-dimensional, , length contraction., d Euclidean space. Com, Explain the consequences of Lorentz transforma’, , ment about the concept of ‘interval’., - GROUP-B eee, ertial frame of reference and non-inertial frame of, , Distinguish between in i, force. Hence, describe the free, oe :, , reference. Explain the concept of Coriolis, fall of a body on the earth’s surface. seers tes , :, Explain the d’ Alembert’s principle. Hence derive Lagrange’s equation, , for a conservative system. § . ce, Define elastic constants: Hence, describe relations between elastic con, stants. ie ; ae 2, Explain the concept of gravitational potential and field. Hence, calculate._, , gravitional potential and field due to solid sphere. :, Distinguish between isothermal and adiabatic elasticity. Hence, describe, , bulk elasticity of a perfect gas. oe, work for surface tension. Hence, apply it, , to evaluate the surface tension of liquid. Comment about effect of tem, perature and presure on surface tension. ; :, (a) Explain effect of temperature and pressure on elasticity., (b) Illustrate the bending of a cantilever. ., Write notes on any two of the following :, (a) Kepler’s laws = (b) Gravity waves :, (c) Hamilton’s equation ~ (d) Modulus of rigidity. ~, , ; GROUP-C. — zs nes, Describe the theory of transverse vibration of string’ Comment:about formation of standing and stationary'waves. ~ ae :, Write notes.on any two of the following: ©, , * (a) Forced vibration (b) Resonance, (c) Doppler effect . ° _ (d) Velocity of sound in a gas., : PHYSICS (Hons.) PAPER I!, 2009, GROUP-A, Derive Maxwell’s velocity distribution law. How can this law be verified 2:, What is transport phenomenon ? On the basis of kinetic theory, deduce an, expression for the viscosity of a gas in terms of mean free path of its, molecule. : ERE PE NE :, , Derive van der Waal’s equation of state for real gases., , What is Brownian motion ? Give a brief account of Einstein’s theory of, translational Brownian motion. Sobigee ? :
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ex, , ~ 10., , I., , 12., , (2), , GROUP-B, State Kirchhoff’s law of black-body radiation. Is it in. accordance with, thermodynamic laws ?, State Stefan law of radiation and prove it from thermodynamical consideration. ™, Explain the working of a Carnot’s heat engine. Calculate its effi, when a perfect gas is the working substance., Define entropy. What is its physical significance, What is Joule-Thomson effect ? Obtain an expression for Joule-Thomson, cooling. s ., , State 2nd law of thermodynamics and derive Clapeyron’s latent heat equation. : :, , ciency, , ‘, , Describe Einstein theory to explain the variation of specific heat of a solid, with temperature. Discuss its limitation., , Write notes on any two of the following :, (a) Zeroth law of thermodynamics , (b) Reversible and irreversible process., , (c) Enthalpy : ‘, , (d) Chemical potential:
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Gy 3, , , , , , B. Sc. PART-I : (HONS.), 2010, , , , , , -10., , iL,, , 12,, , PHYSICS .(HONS.) PAPER I, 2010, , GROUP-A, Describe Michelson-Morley experiment and explain the significance of, negative result, :, Derive the formula for the variation of mass of a particle with its velocity., Find the velocity of the particle at which the mass of the particle becomes, double.of its rest mass., , GROUP-B, Obtain Hamilton's equation of motion and illustrate their application with, a suitable example., State and establish Kepler *s laws of planetary motion., What is a flat spiral spring ? Describe with theory the method of determining the modulus of rigidity of the material of the spring., A cantilever of negligible mass and length / is clamped at one end and, carries a wieght W at its free end. Obtain an expression for depression at °, , the free end, given that Young’s modulus of the-material of the beam is ey., and radius of gyration about the axis of bending is K., , Differentiate between ripple and gravity waves. “Describe, with theory, an, experiment to determine the'surface tension of water by the method of ripples., Obtain an expression for torsional rigidity ofa solid cylinder of radius r, and length /. 2, , What is an inertial and non-inetial frame of fepaeniced 2 Discuss the con, cept of centrifugal force and Beeyy the variation of the apesiertion due —, to gravity with latitudes, , Write notes on any two of the following :, (a) Generalised coordinate and constraints with example., (b) D’Alembert’s principle, (c) Effect of temperature and pressure on surface tension, (d) Surface tension and surface energy., ; GROUP-C, Explain free, damped and forced vibrations. Set up the differential equation for forced damped simple harmonic motion of a particle and obtain a, , solution for it. Obtain the condition for amplitude resonance and explain, sharpness of resonance... , Write notes on any two of the following : :, (a) Progressive and stationary waves (b) Acoustics of building, (c) Differential equation ofa wave —_(d) Sawtooth waves., PHYSICS (HONS.) PAPER Il, 2010, GROUP-A | : :, Define ‘mean free path’ of a molecule in a homogeneous gas. Obtain an, , expression for the mean free path of a gas molecule. Give an experimental, method for the determination of A.
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oe, , nN, , i, , ~, , 10., , 11., 2., , (2), , Describe a method to determine the ratio of the thermal to the electrica|, , - conductivity of a metal., , State and explain the theorem of equipartition of energy and discuss some, , of its-applications., Derive general equation for one-dimensional flow of heat in a long bar,, , Obtain its steady-state solution., GROUP-B, Discuss the concept of absolute scale of temperature and explain how this, scale can be realized in practice., State and prove Carnot’s theorem., Explain enthalphy, Helmholtz and Gibbs’ function in thermodynamics., , Derive Gibbs-Helmholtz equation., Derive Maxwell's four thermodynamical relations- Hence prove that, , Ep "Cy, substance and C, and C, ate specific heats of the substance at constant, , pressure and volume. ., , What are the first-order and second-order chase transitions ?. Give suitable examples of each of them: Derive Ehrenfest’s theorem describing, second-order phrase transition., , Describe the different methods for production of low temperature., , c.,’ Where E,and E,are adiabatic’ and isothermal elasticities of a, , ‘Describe Debye theory of specific heat of solids., , Write notes on any two of the following :, (a) Zeroth law of thermodynamics (b) Clausius menahly, , (c) A-transition, (d) Planck’s law of black-body. ean
