Question

Which pair have not equal dimensions:

• A. Energy and torque
• B. Force and impulse
• C. Angular momentum and Plank's constant
• D. Elastic modulus and pressure

Answer 1

Answer: (B)

Force and impulse

Answer 2

(A) Energy and torque:

• Energy has dimensions $[ML^2T^{-2}]$.
• Torque has dimensions $[ML^2T^{-2}]$.

(B) Force and impulse:

• Force has dimensions $[MLT^{-2}]$.
• Impulse has dimensions $[MLT^{-1}]$.

(C) Angular momentum and Planck constant:

• Angular momentum has dimensions $[ML^2T^{-1}]$.
• Planck constant (h) has dimensions $[ML^2T^{-1}]$.

(D) Elastic modulus and pressure:

• Elastic modulus has dimensions $[ML^{-1}T^{-2}]$.
• Pressure has dimensions$[ML^{-1}T^{-2}]$.

From the above data, Force and impulse does not have equal dimensions.

So, the correct option is (B): Force and impulse