Given below are two statements:
**Statement (I):** Dimensions of specific heat is $[\text{L}^2\text{T}^{-2}\text{K}^{-1}]$.
**Statement (II):** Dimensions of gas constant is $[\text{M}\text{L}^2\text{T}^{-1}\text{K}^{-1}]$.
In the light of the above statements, choose the most appropriate answer from the options given below.
Answer: (B) Statement (I) is correct but Statement (II) is incorrect
Specific heat $= \dfrac{Q}{m\Delta T}$: $\dfrac{[\text{M}\text{L}^2\text{T}^{-2}]}{[\text{M}][\text{K}]} = [\text{L}^2\text{T}^{-2}\text{K}^{-1}]$. Statement (I) is correct.
Gas constant $R = \dfrac{PV}{nT}$: $[\text{M}\text{L}^2\text{T}^{-2}\text{K}^{-1}\text{mol}^{-1}]$, with $\text{T}^{-2}$, not $\text{T}^{-1}$. Statement (II) is incorrect.
Solution by Sreeraj P, M.Sc Physics