JEE Main 2026 — Apr 2, Shift 2 — Physics solution

JEE Main2026Apr 2, Shift 2Physics

Dimensions of universal gravitational constant ( $G$ ) in terms of Planck's constant ( $h$ ), distance ( $L$ ), mass ( $M$ ) and time ( $T$ ) are____.

A
$[h T L M^{- 2}]$
B
$[h T^{- 1} L M^{- 2}]$
C
$[h T L^{2} M^{- 2}]$
D
$[h^{- 1} T^{- 1} L M^{- 2}]$

Solution

$\text{Energy}=\dfrac{hc}{\lambda} = \dfrac{GM_1M_2}{r}$

$[ML^2T^{-2}] = [h][T^{-1}] = [G][M^2L^{-1}]$

$[G] = [M^{-2}L^{+1}T^{-1}h^{+1}]$

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