Question

show that the angular momentum has the same physical units as those of Planck 's constant . Planck constant is given by the relation E= HV , where E is energy and v is frequency​​

Answer 1

Angular momentum are given by -

L = I.w = r.p

L = r × m × v

Units of angular momentum thus will be -

L => m × kg × m / s

L => kg.m²/s ...(1)

Plank's constant is given by the relation

E = h.ν

h = E/ν

h = F × s / ν

h = m × a × s / v

Thus, units of plank's constant will be -

h => kg × m/s² × m / m/s

h => kg.m²/s ...(2)

From (1) & (2), units of L & h are same.

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