Identify the pair whose dimensions are equal

Options

A. (a) torque and Work
B. (b) stress and energy
C. ( c ) force and stress
D. (d) force and work

Answer

A

Explanation

(a) `W = vec(F).vec(s) = Fs cos theta`
`=[MLT^(-2)][L] = [ML^(2)T^(-2)]`,
`vec(tau) = vec( r ) xx vec(F)` rArr `tau = rF sin theta`
`= [L][MLT^(-2)] = [ML^(2)T^(-2)]`