Thermodynamics and Statistical Physics MCQs Question and Answer in Engineering Physics

A. the plot of entropy as a function of temperature shows a discontinuity

B. the plot of specific heat as a function of temperature shows a discontinuity

C. the plot of volume as a function of pressure shows a discontinuity

D. the plot of comprehensibility as a function of temperature is continuous

A. In a micro-canonical ensemble, the total number of particles N and the energy E are constants while in a canonical ensemble N and temperature T are constants

B. In a micro-canonical ensemble, the total number of particles N is a constant but the energy E is variable while in a canonical ensemble N and T are constants

C. In a micro-canonical ensemble N and E are constants while in a canonical ensemble N and T both vary

D. In a micro-canonical ensemble N and E are constants while in a canonical ensemble N is a constant but T varies

A. $$\frac{3}{2}N{k_B}\ln \left[ {\frac{{T_1^2 + T_2^2}}{{4{T_1}{T_2}}}} \right]$$

B. $$N{k_B}\ln \left( {\frac{{{T_2}}}{{{T_1}}}} \right)$$

C. $$\frac{3}{2}N{k_B}\ln \left[ {\frac{{{{\left( {{T_1} + {T_2}} \right)}^2}}}{{4{T_1}{T_2}}}} \right]$$

D. $$2N{k_B}$$

A. 2^N

B. N²

C. $${2^{\frac{{\text{N}}}{2}}}$$

D. N

A. the entropy of solid is zero in this temperature region

B. the entropy increases when the system goes from liquid to solid phase in this temperature region

C. the entropy decreases when the system transforms from liquid to solid phase in this region

D. the change in entropy is zero in the liquid to solid transition region

A. $$p = \frac{3}{2}\frac{U}{V}$$

B. $$p = \frac{2}{3}\frac{U}{V}$$

C. $$p = \frac{3}{5}\frac{U}{V}$$

D. $$p = \frac{1}{2}\frac{U}{V}$$

A. Work done in one cycle is Q₁ - Q₂

B. $$\frac{{{Q_1}}}{{{T_1}}} = \frac{{{Q_2}}}{{{T_2}}}$$

C. Entropy of the hotter reservoir decreases

D. Entropy for the universe (consisting of the working substance and the two reservoirs) increases

A. $$\frac{1}{2}$$k_BT

B. k_BT

C. $$\frac{3}{2}$$k_BT

D. 3k_BT

A. positive only

B. positive or zero

C. zero only

D. negative or zero

A. remains unchanged

B. is reduced to half

C. is doubled

D. is equal to 1.125 λ₀