MCQ
Which of the following pairs of physical quantities does not have same dimensional formula?
- AWork and torque.
- BAngular momentum and Planck’s constant.
- ✓Tension and surface tension.
- DImpulse and linear momentum.
✓
Answer
Correct option: C.
Tension and surface tension.
- $\text{Work}=\text{F}\times\Delta\text{x}=[\text{MLT}^2][\text{L}]=[\text{ML}^2\text{T}^2]$
- Angular momentum $=\text{mvr}=[\text{M}][\text{LT}^1][\text{L}]=[\text{ML}^2\text{T}^1]$
- Tension $($force$)= [\text{MLT}^{-2}]$
- Impulse $=\text{F}\times\Delta\text{t}=[\text{MLT}^{-2}][\text{T}]=[\text{MLT}^{-1}]$
So, among the above pairs only tension and surface tension does not have same dimensional formula. They both sound similar but they both have different meaning and different applications.
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