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Question: Which of the following pairs of physical quantities does not have same dimensional formula?...

Which of the following pairs of physical quantities does not have same dimensional formula?

A

Work and torque

B

Angular momentum and Plank’s constant

C

Tension and surface tension

D

Impulse and linear momentum

Answer

Tension and surface tension

Explanation

Solution

[Tension] =[MLT2]= \lbrack MLT^{- 2}\rbrack

[Surface tension] =[MLT2][L]=[ML0T2]= \frac{\lbrack MLT^{- 2}\rbrack}{\lbrack L\rbrack} = \lbrack ML^{0}T^{- 2}\rbrack