Match List-I with List-II.
| List-I | List-II |
| (A) Heat capacity of body | (I) \( J\,kg^{-1} \) |
| (B) Specific heat capacity of body | (II) \( J\,K^{-1} \) |
| (C) Latent heat | (III) \( J\,kg^{-1}K^{-1} \) |
| (D) Thermal conductivity | (IV) \( J\,m^{-1}K^{-1}s^{-1} \) |
(A)-(II), (B)-(III), (C)-(I), (D)-(IV)
We are asked to match physical quantities with their SI units.
(A) Heat capacity of a body:
\[ \text{Unit: } \frac{\text{Joule}}{\text{Kelvin}} = \text{J K}^{-1} \] Hence, (A) → (II)
(B) Specific heat capacity of a body:
\[ \text{Unit: } \frac{\text{Joule}}{\text{kilogram} \cdot \text{Kelvin}} = \text{J kg}^{-1} \text{K}^{-1} \] Hence, (B) → (III)
(C) Latent heat:
\[ \text{Unit: } \frac{\text{Joule}}{\text{kilogram}} = \text{J kg}^{-1} \] Hence, (C) → (I)
(D) Thermal conductivity:
\[ \text{Unit: } \frac{\text{Joule}}{\text{metre} \cdot \text{second} \cdot \text{Kelvin}} = \text{J m}^{-1} \text{K}^{-1} \text{s}^{-1} \] Hence, (D) → (IV)
| List-I | List-II |
|---|---|
| (A) Heat capacity of body | (II) J K-1 |
| (B) Specific heat capacity of body | (III) J kg-1 K-1 |
| (C) Latent heat | (I) J kg-1 |
| (D) Thermal conductivity | (IV) J m-1 K-1 s-1 |
\[ \boxed{(A) \to (II), \quad (B) \to (III), \quad (C) \to (I), \quad (D) \to (IV)} \]
A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien's constant, b = 2.88×106 nm-K. Then,

Let \(\gamma_1\)be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and \(\gamma_2\) be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, \(\frac{\gamma_1}{\gamma_2}\) is :
The pressure of a gas changes linearly with volume from $A$ to $B$ as shown in figure If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be Is

What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)