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

[02 April, 2026 (Shift-2)]

Question

Dimensions of universal gravitational constant (G) in terms of Planck's constant (h), distance (L), mass (M) and time (T) are [02 April, 2026 (Shift-2)]

YESPYQ · Accepted Answer

Correct answer: b) $\left[h{T}^{-1}L{M}^{-2}\right]$. Energy of a photon: $E=\frac{hc}{\lambda }$ Gravitational potential energy: $E=\frac{G{M}_{1}{M}_{2}}{r}$ $\left[M{L}^{2}{T}^{-2}\right]=[h]\left[{T}^{-1}\right]=[G]\left[{M}^{2}{L}^{-1}\right]$ $[G]=\left[{M}^{-2}L{T}^{-1}h\right]$

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

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