Q. Which physical quantities have same dimensions

A) Force and power
B) Torque and energy
C) Torque and power
D) Force and torque
Explanation

$Force = Mass\ \times acceleration$ $= \lbrack M\rbrack\left\lbrack LT^{- 2} \right\rbrack = \lbrack MLT^{- 2}\rbrack$ $Torque = Force\ \times distance = \left\lbrack MLT^{- 2} \right\rbrack\lbrack L\rbrack = \lbrack ML^{2}T^{- 2}\rbrack$ $Work = Force\ \times distance = \left\lbrack MLT^{- 2} \right\rbrack\lbrack L\rbrack = \lbrack ML^{2}T^{- 2}\rbrack$ $Energy = \lbrack ML^{2}T^{- 2}\rbrack$ $Power = \frac{Work}{Time} = \frac{\lbrack ML^{2}T^{- 2}\rbrack}{\lbrack T\rbrack} = \lbrack ML^{2}T^{- 3}\rbrack$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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