Match List-I with List-II. List-I List-II --- --- (A) Meter (L) I. √(hc/G) (B) Second (S) II. √(Gh/c 5) (C) Kilogram (M) III. √(K 2L 2c 5/Gh) (D) Kelvin (K) IV. √(Gh/c 5) where h = Planck's constant, G = gravitational constant, c = speed of light in vacuum as fundamental units.

Physics · Units, Dimensions & Error Analysis

JEE Main 2026 — 5 April, Evening Shift — Question 1

Match List-I with List-II.

where h = Planck's constant, G = gravitational constant, c = speed of light in vacuum as fundamental units.

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

Then $\sqrt{hc/G}$ gives [M], $\sqrt{Gh/c^5}$ gives [T], $\sqrt{K^2L^2c^5/(Gh)}$ gives [K], $\sqrt{Gh/c^5}$ gives [L]

(note: IV appears twice? Actually II and IV are same expression, but solution maps A→IV, B→II, C→I, D→III).

Answer key and solution verified before publishing.

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