plamk constant has the same dimension as
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force×distance×time is the answer
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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.
Hope it helps ...
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.
Hope it helps ...
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