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Which pair does not have equal dimensions :
A
Energy and torque
B
Force and impulse
C
Angular momentum and Planck's constant
D
Elastic modulus and pressure
Detailed Solution
Energy and torque: both $ML^2T^{-2}$; equal.
Force: $MLT^{-2}$; impulse = force $\times$ time: $MLT^{-1}$; not equal.
Angular momentum and Planck's constant: both $ML^2T^{-1}$; equal.
Elastic modulus and pressure: both $ML^{-1}T^{-2}$; equal.
So force and impulse do not have equal dimensions.
Force: $MLT^{-2}$; impulse = force $\times$ time: $MLT^{-1}$; not equal.
Angular momentum and Planck's constant: both $ML^2T^{-1}$; equal.
Elastic modulus and pressure: both $ML^{-1}T^{-2}$; equal.
So force and impulse do not have equal dimensions.