Physics

Physics

Problem

Which of the following physical quantities shares the same dimensional formula as pressure? a) Surface tension b) Coefficient of viscosity c) Stress d) Strain
Intuitive explanation

Pressure is force per unit area, giving it dimensions of MLT2L2=MLT2\frac{ML}{T^2L^2} = \frac{M}{LT^2}. To solve this, find what other quantity has the same masslength×time2\frac{\text{mass}}{\text{length} \times \text{time}^2} structure—think about stress, energy density, or anything involving force spread over area or volume. Check each option by breaking it into mass, length, and time components.

Intuitive explanation

Pressure is force per unit area, giving it dimensions of MLT2L2=MLT2\frac{ML}{T^2L^2} = \frac{M}{LT^2}. To solve this, find what other quantity has the same masslength×time2\frac{\text{mass}}{\text{length} \times \text{time}^2} structure—think about stress, energy density, or anything involving force spread over area or volume. Check each option by breaking it into mass, length, and time components.

Browse the problem library