JEE Main 2026 Apr 6 Shift 2, Physics Q2: Units And Dimensions

Match each constant by dimensional formula:

A. Boltzmann constant $k$ has units of energy per kelvin: $[M{L}^2{T}^{-2}{K}^{-1}]$ $\Rightarrow$ III.

B. Stefan's constant $\sigma$ appears in $P/A=\sigma T^4$, giving $[M{L}^0{T}^{-3}{K}^{-4}]$ $\Rightarrow$ IV.

C. Planck's constant $h$ has units of action (energy $\times$ time): $[M{L}^2{T}^{-1}]$ $\Rightarrow$ II.

D. Gravitational constant $G$ from $F=G{m}_1{m}_2/r^2$: $[M^{-1}{L}^3{T}^{-2}]$ $\Rightarrow$ I.

$\therefore$ A-III, B-IV, C-II, D-I.