JEE Main 2026 Apr 5 Shift 2, Physics Q1: Units And Dimensions

JEE Main2026Apr 5, Shift 2Physics

Match List-I with List-II.

where $h$ (Planck's constant), $G$ (gravitational constant) and $c$ (speed of light in vacuum) as fundamental units.

Choose the correct answer from the options given below:

Solution

Use $[h] = [M L^{2} T^{- 1}]$ , $[c] = [L T^{- 1}]$ , $[G] = [M^{- 1} L^{3} T^{- 2}]$ .

Mass (M): $\frac{h c}{G}$ gives $[M]$ .

Length (L): $\frac{G h}{c ^{3}}$ gives $[L]$ .

Time (T): $\frac{G h}{c ^{5}}$ gives $[T]$ .

Temperature (K): $\frac{K ^{2} L ^{2} c ^{3}}{G h}$ rearranges to give $[K]$ .

$∴$ A $\to$ IV, B $\to$ II, C $\to$ I, D $\to$ III.

Concept behind this question

Concept-wise practice with instant solutions on Fundamenthol.