The dimension of torque is:

Options

A. `[ML^(-1)T^(-2)]`
B. `[ML^(2)T^(-2)]`
C. `[ML^(-1)T^(-1)]`
D. `[MT^(-3)]`

Answer

b

Explanation

We define touque about an axis of rotation is equal to the product of the magnitude of the force `(F)` and the perpendicular distance `(r)` of the line of action of force the axis of rotation
`rArr = tau = F xx r`
`:.` Dimensional formula of terque`=` Dimnensional formula of force xx Dimnensional formula of distance `= [MLT^(-2)] xx [L] = [ML^(2)T^(-2)]`