Question

Some physical quantity or constants are given in list-I and their units are mentioned in list-II Choose the correct answer from the options given below :

List-1	List-II
(P) Weln's constant	(1) Wm$^{-2}$K$^{-4}$
(Q) Stefan's constant	(2) Wm$^{-2}$K$^{-1}$
(R) Temperature gradlent	(3) mK
(S) Thermal conductivity	(4) Wm$^{-1}$K$^{-1}$
	(5) Km$^{-1}$

• A. (P) – (3)
• B. (Q) – (1)
• C. (R) – (5)
• D. (S) – (4)

Answer 1

(P)–(3); (Q)–(1); (R)–(5); (S)–(4).

Answer 2

We match the physical quantities with their units:

1. Wien's constant (P):
   Wien's displacement law is written as

   $$\lambda_{\max} \, T = \text{constant}$$

   so its unit is meter-Kelvin (m·K), which corresponds to option (3).

2. Stefan's constant (Q):
   The Stefan–Boltzmann constant has units

   $$\text{Wm}^{-2}\text{K}^{-4}$$

   which corresponds to option (1).

3. Temperature gradient (R):
   A temperature gradient has the unit Kelvin per meter (K/m), corresponding to option (5) (written as Km⁻¹).

4. Thermal conductivity (S):
   Thermal conductivity is measured in

   $$\text{Wm}^{-1}\text{K}^{-1}$$

   which corresponds to option (4).

Thus, the correct matching is:
(P) – (3); (Q) – (1); (R) – (5); (S) – (4).