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19. (AIPMT 2001 )

The dimensions of Planck's constant equals to that of

(A) energy

(B) momentum

(C) angular momentum

(D) power

Correct answer is (C)

Plank constant (h) = E λ c = [ M L 2 T − 2 ] [ L ] [ L T − 1 ] = [ML2T-1]

Angular momentum (L) = I × ω = [ML2][T-1] = [ML2T-1]

20. (AIPMT 2000 )

Which pair do not have equal dimensions ?

(A) Energy and torque

(B) Force and impulse

(C) Angular momentum and Planck constant

(D) Elastic modulus and pressure.

Correct answer is (B)

Dimension of force = [MLT-2]

Dimension of impulse = [MLT-1]

So both of them have different dimensions.