Question

The dimensions of Planck’s constant are same as
(a) energy (b) power (c) momentum (d) angular momentum

Answer 1

The dimension of Plank's contant can be obtained from any of the equations in which it appears, e.g.    h = E/ν,   λ = h/p, etc.

Planck's Constant h =  6.626176 x 10-34 joule-second

                                =  6.626176 x 10-34 m2 kg/s

[h] = [M L2 T −1] _____________(1)

Angular momentum l = r x p

[l] = [r] [p]

    = [L] [M L T −1]

    = [M  L2  T −1]  _____________(2)

Compare Eqs. (1) and (2). See that both the Planck's constant and angular momentum have the same dimensions.

Answer 2

It’s angular momentum option d ..........