JEE Main 2024 Physics question

Physics Units and Measurement JEE Main 2024

Given below are two statements: Statement (I): Dimensions of specific heat is [L²T⁻²K⁻¹] Statement (II): Dimensions of gas constant is [M L²T⁻¹K⁻¹]

(A)Statement (I) is incorrect but statement (II) is correct
(B)Both statement (I) and statement (II) are incorrect
(C)Statement (I) is correct but statement (II) is incorrectCorrect
(D)Both statement (I) and statement (II) are correct

Answer: (C)

Solution

Specific heat = Q/(mΔT) has dimensions L²T⁻²K⁻¹. The gas constant R = PV/(nT) has dimensions ML²T⁻²K⁻¹ (per mole), not ML²T⁻¹K⁻¹.

Question ID VK-012076