Question

The physical quantity having the same dimensional formula as that of entropy is:

• A. Latent heat
• B. Thermal capacity
• C. Heat
• D. Specific heat

Answer 1

The correct option is B Thermal capacity

Entropy $=\frac{Energy}{temp}=\frac{M^1{L}^2{T}^{-2}}{K}=M^1{L}^2{T}^{-2}{K}^{-1}$

Latent heat $=\frac{Energy}{Mass}=\frac{M^1{L}^2{T}^{-2}}{M^1}=L^2{T}^{-2}$

Heat $=M^1{L}^2{T}^{-2}$

Specific heat $=\frac{Energy}{M\times T}=\frac{M^1{L}^2{T}^{-2}}{M^1{K}^1}=L^2{T}^{-2}{K}^{-1}$

Thermal capacity $=\frac{Energy}{temp}=\frac{M^1{L}^2{T}^{-2}}{K^1}=M^1{L}^2{T}^{-2}{K}^{-1}$