Question

The pair of physical quantities not having the same dimensions is:

• A. Torque and energy
• B. Pressure and Young’s modulus
• C. Angular momentum and Planck’s constant
• D. Surface tension and impulse

Hint:

Ensure you are familiar with the dimensional analysis of physical quantities to determine whether pairs of quantities share the same dimensions.

Answer 1

The Correct Option is A

- Torque has the dimension $[M L^2 T^{-2}]$, and energy also has the dimension $[M L^2 T^{-2}]$, so they have the same dimension.
- Pressure has the dimension $[M L^{-1} T^{-2}]$, and Young’s modulus has the same dimension $[M L^{-1} T^{-2}]$.
- Angular momentum has the dimension $[M L^2 T^{-1}]$, and Planck’s constant also has the dimension $[M L^2 T^{-1}]$.
- Surface tension has the dimension $[M T^{-2}]$, while impulse has the dimension $[M L T^{-1}]$, so they do not have the same dimensions.