Question

Match List - I with List - II

List - I (Parameter of Black Body Radiation)	List - II (Expression)
A. Internal Energy (\(u\))	I. \(-\frac{1}{3}aVT^3\)
B. Heat capacity at constant volume (\(C_v\))	II. \(aVT^4\)
C. Entropy (\(S\))	III. \(4aVT^3\)
D. Helmholtz Free energy (\(F\))	IV. \(\frac{4}{3}aVT^4\)

[where 'a' is constant, V is volume and T is temperature]

• A. A-II, B-III, C-I, D-IV
• B. A-II, B-III, C-IV, D-I
• C. A-II, B-IV, C-I, D-III
• D. A-II, B-IV, C-III, D-I

Hint:

For a photon gas, the pressure is always one-third of the energy density ($P = \frac{1}{3}u$). This "radiation pressure" is a key characteristic of black body radiation.

Answer 1

The Correct Option is B