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Engineering Physics · all questions

Thermodynamics and Statistical Physics
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A second order phase transition is one in which

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Which of the following statements is true?

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Each of the two isolated vessels, A and B of fixed volumes, contains N molecules of a perfect monatomic gas at pressure p. The temperatures of A and B are T1 and T2 respectively. The two vessels are brought into thermal contact. At equilibrium, the change in entropy is

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The total number of accessible states of N non-interacting particles of spin is

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The pressure versus temperature diagram of a given system at certain low temperature range is found to be parallel to the temperature axis in the liquid to solid transition region. The change in the specific volume remains constant in this region. The conclusion one can get from the above is

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The pressure for a non-interacting Fermi gas with internal energy U at temperature T is

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A Carnot cycle operates on a working substance between two reservoirs at temperatures T1 and T2, where, T1 > T2. During each cycle an amount of heat Q1 is extracted from the reservoir at T1 and an amount Q2 is delivered to the reservoir at T2. Which of the following statements is incorrect?

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The mean internal of a one-dimensional classical harmonic oscillator in equilibrium with a heat bath of temperature T is

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For any process, the second law of thermodynamics requires that the change of entropy of the universe be

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The mean free path of the particles of a gas at a temperature T0 and pressure p0 has a value λ0. If the pressure is increased to 1.5 p0 and the temperature is reduced to 0.75 T0, the mean free path

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The phase diagram of a free particle of mass m and kinetic energy E, moving in one-dimensional box with, perfectly elastic walls at x = 0 and x = L, is given by

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A system of N non-interacting classical point particles constrained to move on the two-dimensional surface of a sphere. The internal energy of the system is

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The dimension of phase space of ten rigid diatomic molecules is

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The wavefunctions of two identical particles in stated n and s are given by  and , respectively. The particles obey Maxwell-Boltzmann statistics. The state of the combined two particles system is expressed as

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The vapour pressure p (in mm of Hg) of a solid, at temperature T, is expressed by In p = 23 - 3863/T and that of its liquid phase by In p = 19 - 3063/T. The triple point (in kelvin) of the material is

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The probability that an energy level E at a temperature T is unoccupied by a fermion of chemical potential μ is given by

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Which one of the following is a first order phase transition?

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