Thermodynamics and Statistical Physics MCQs Question and Answer in Engineering Physics

A. (E^{3N/2 - 1})δE

B. E^N/2 δE

C. NE^1/2 δE

D. E^N δE

A. $$\frac{1}{2}$$ : 0 : 1

B. 1 : $$\frac{1}{2}$$ : 1

C. 1 : $$\frac{1}{2}$$ : $$\frac{1}{2}$$

D. 1 : 0 : $$\frac{1}{2}$$

A. $$T = {\left( {\frac{{\partial U}}{{\partial V}}} \right)_S}{\text{ and }}p = {\left( {\frac{{\partial U}}{{\partial S}}} \right)_V}$$

B. $$V = {\left( {\frac{{\partial H}}{{\partial p}}} \right)_S}{\text{ and }}T = {\left( {\frac{{\partial H}}{{\partial S}}} \right)_p}$$

C. $$p = - {\left( {\frac{{\partial G}}{{\partial V}}} \right)_T}{\text{ and }}V = {\left( {\frac{{\partial G}}{{\partial p}}} \right)_S}$$

D. $$p = - {\left( {\frac{{\partial A}}{{\partial S}}} \right)_T}{\text{ and }}S = - {\left( {\frac{{\partial A}}{{\partial p}}} \right)_V}$$

A. MC : (N, V, T); CE : (E, V, N); GC : (V, T, μ)

B. MC : (E, V, N); CE : (N, V, T); GC : (V, T, μ)

C. MC : (V, T, μ); CE : (N, V, T); GC : (E, V, N)

D. MC : (E, V, N); CE : (V, T, μ): GC : (N, V, T)

A. zero

B. $$\frac{4}{3}aV{T^3}$$

C. $$\frac{1}{3}a{T^{ - 4}}$$

D. $$aV{T^{ - 4}}$$

A. the average distance between them is large compared to their de-Broglie wavelengths

B. the average distance between them is small compared to their de-Broglie wavelengths

C. they have overlapping wavepackets

D. their total wavefunction is symmetric under particle exchange

A. A liquid to gas transition at its critical temperature

B. A liquid to gas transition close to its triple point

C. A paramagnetic to ferromagnetic transition in the absence of a magnetic field

D. A metal to superconductor transition in the absence of a magnetic field

A. T

B. $${{\text{T}}^{\frac{3}{2}}}$$

C. T²

D. T³

A. $$\frac{{{{\left( {{Z_\alpha }} \right)}^N}}}{{N!}}$$

B. $${\left( {{Z_\alpha }} \right)^N}$$

C. $$N\left( {{Z_\alpha }} \right)$$

D. $$\frac{{{{\left( {{Z_\alpha }} \right)}^N}}}{N}$$

A. $$\frac{{pV\Delta S}}{{nR}}$$

B. $$nR\Delta S$$

C. $$pV$$

D. $$\frac{{p\Delta S}}{{nRV}}$$