Q. Given $X = \left( Gh{/c}^{3} \right)^{1/2}$, where $G,h$ and $c$ are gravitational constant, Planck’s constant and the velocity of light respectively. Dimensions of $X$ are the same as those of

A) Mass
B) Time
C) Length
D) Acceleration
Explanation

$\lbrack X\rbrack = \left\lbrack \frac{M^{- 1}L^{3}T^{- 2} \times ML^{2}T^{- 1}}{{L^{3}T}^{- 3}} \right\rbrack^{- 1/2} = \lbrack L\rbrack$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.