Given `X = (Gh//c^(3))^(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

Options

A. mass
B. time
C. length
D. acceleration

Answer

C

Explanation

`[G]= [M^(-1)L^(3)T^(-2)], [h]= [ML^(2)T^(-1)], [c]= [LT^(-)]`
`:. [X]= [([M^(-1)L^(3)T^(-2)][ML^(2)T^(-1)])/( [LT^(-)])^(3)]^(1//2)= [L]`