First slide

Dimensions of physical quantities

Question

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

Moderate

A

Work and torque
B

Angular momentum and Planck’s constant
C

Tension and surface tension
D

Impulse and linear momentum

Solution

Because, dimension formula of tension same as force
[MLT^-2]
and surface tension $\frac{f o r c e}{l e n g t h}$ = [ML⁰T^-2]
Work and torque, both are product of force and length.
Impulse is equal to change in momentum.

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