Plank's constant has the same dimensions as that of . A) Power B)Work C)Radiant energy D)Angular momentum?

Question

Answer

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 m^2 kg/s

[h] = [M L^2 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.