NEETPhysicsUnits and Dimensions
Which of the following pairs of physical quantities does NOT have the same dimensional formula?
Options
- AWork and Torque
- BAngular momentum and Planck's constant
- CTension and Surface tension
- DImpulse and Momentum
Correct answer
C. Tension and Surface tension
Step-by-step solution
Dimensional formula of Work = [ ML ² T ⁻²] Dimensional formula of Torque = [ ML ² T ⁻²] Dimensional formula of Angular momentum = [ ML ² T ⁻¹] Dimensional formula of Planck's constant = [ ML ² T ⁻¹] Dimensional formula of Impulse = [ MLT ⁻¹] Dimensional formula of Momentum = [ MLT ⁻¹] Dimensional formula of Tension (which is a Force) = [ MLT ⁻²] Dimensional formula of Surface tension (Force per unit length) = [ MT ⁻²] Thus, Tension and Surface tension do not share the same dimensional formula. Answer: Tension and S