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Question

Out of the following pairs, choose the pair in which the physical quantities do not have identical dimension?

A
Pressure and Young's modules
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B
Planck's constant and Angular momentum
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C
Impulse and moment of force
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D
Force and rate of change of linear momentum
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Solution

The correct option is C Impulse and moment of force
(A) : Young's modulus is given by Y=FA.ΔLL
This implies Pressure (F/A) and Young's modulus have same dimensions.
(B) :
From the equation L=nh2π
We say that, Planck's constant and angular momentum have same dimensions.
(C) : Using the relation between impulse J and moment of force τ, J=τΔt
We say that impulse and moment of force have different dimensions.
(D) :
From the relation F=dPdt
We say that force F and rate of change of momentum dPdt have same dimension.

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