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

Both statement (I) and statement (II) are incorrect

Statement (I) is incorrect but statement (II) is correct

Statement (I) is correct but statement (II) is incorrect

Both statement (I) and statement (II) are correct

Physics · Units, Dimensions & Error Analysis

JEE Main 2024 — 6 April, Shift 2 — Question 49

Given below are two statements :

Statement (I) : Dimensions of specific heat is $\left[\mathrm{L}^{2} \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]$

Statement (II) : Dimensions of gas constant is $\left[\mathrm{M} \mathrm{L}^{2} \mathrm{~T}^{-1} \mathrm{~K}^{-1}\right]$

Statement I: True, since specific heat capacity

c=\frac{\text{energy}}{\text{mass}\times \text{temperature}} \Rightarrow [c]=L^{2}T^{-2}K^{-1}.

Statement II: True, since gas constant has dimensions

[R]=\frac{\text{energy}}{\text{temperature}}=ML^{2}T^{-2}K^{-1}.

Answer key and solution verified before publishing.

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.