A physical quantity is defined by

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

A physical quantity

X

is defined by

X = \dfrac{F^{2} r}{\sqrt{m\,k}}

, where

F

is force,

r

is distance,

m

is mass and

k

is the spring constant (force per unit length). Determine the dimensional formula of

X

. (a)

[M\,L^{2}\,T^{-3}]

(b)

[M\,L^{3}\,T^{-3}]

(c)

[M^{2}\,L^{3}\,T^{-3}]

(d)

[M\,L^{3}\,T^{-4}]