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

The Correct Option is B

(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