Q. If the dimensions of a physical quantity are given by Mᵃ Lᵇ Tᶜ, then the physical quantity will be:
A) Velocity if a = 1, b = 0, c = −1
B) Acceleration if a = 1, b = 1, c = −2
C) Force if a = 0, b = −1, c = −2
D) Pressure if a = 1, b = −1, c = −2
Explanation
[Solution from source] Pressure = force/area = MLT⁻²/L² = ML⁻¹T⁻², so a = 1, b = −1, c = −2. Velocity has no mass dimension (a = 0), acceleration has no mass dimension, and force is MLT⁻², so the other pairings are wrong. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.