NEETPhysicsUnits and Dimensions
Match List-I with List-II. List-I List-II (A) Thermal conductivity (I) J mol ⁻¹ K ⁻¹ (B) Specific heat capacity (II) K ⁻¹ (C) Universal gas constant (III) W m ⁻¹ K ⁻¹ (D) Coefficient of linear expansion (IV) J kg ⁻¹ K ⁻¹ Choose the correct answer from the options given below:
Options
- A(A)-(III), (B)-(I), (C)-(IV), (D)-(II)
- B(A)-(I), (B)-(IV), (C)-(III), (D)-(II)
- C(A)-(III), (B)-(IV), (C)-(I), (D)-(II)
- D(A)-(IV), (B)-(III), (C)-(II), (D)-(I)
Correct answer
C. (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
Step-by-step solution
(A) Thermal conductivity ( K ): From the formula for heat conduction rate dQ dt = K A T x , the unit of K is W m m ^2 K = W m ⁻¹ K ⁻¹ . (B) Specific heat capacity ( c ): From Q = m c T , the unit of c is J kg K = J kg ⁻¹ K ⁻¹ . (C) Universal gas constant ( R ): From the ideal gas law PV = nRT , the unit of R is J mol K = J mol ⁻¹ K ⁻¹ . (D) Coefficient of linear expansion ( ): From L = L T , the unit of is m m K = K ⁻¹ . Therefore, the correct matching is (A)-(III), (B)-(IV), (C)-(I), (D)-(II). Answer: (A)-(III), (