Q161 / 180 · COMEDK 2025 (10 May Shift 3) · Physics
Two physical quantities having the same dimensional formula $\left[\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-2}\right]$ are
- AThrust and Strain
- BWork and thrust
- CMoment of force and Thrust
- Correct answerDStress and Pressure
Solution
The dimensional formula for Stress is $\dfrac{\text{Force}}{\text{Area}} = \dfrac{[M^1 L^1 T^{-2}]}{[L^2]} = [M^1 L^{-1} T^{-2}]$.
The dimensional formula for Pressure is $\dfrac{\text{Force}}{\text{Area}} = \dfrac{[M^1 L^1 T^{-2}]}{[L^2]} = [M^1 L^{-1} T^{-2}]$.
Since both Stress and Pressure have the same dimensional formula $[M^1 L^{-1} T^{-2}]$, they are the correct pair.
Answer: Stress and Pressure
The dimensional formula for Pressure is $\dfrac{\text{Force}}{\text{Area}} = \dfrac{[M^1 L^1 T^{-2}]}{[L^2]} = [M^1 L^{-1} T^{-2}]$.
Since both Stress and Pressure have the same dimensional formula $[M^1 L^{-1} T^{-2}]$, they are the correct pair.
Answer: Stress and Pressure
Hence, the correct answer is option: 'D'.