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If θ is the angle made by orbital angular momentum with the z-axis, then the quantum number l and m of an atom are related to each other through the expression

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a
m=lcosθ
b
m={l(l+1)}cosθ
c
l=mcosθ
d
m=l(l+1)cosθ

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detailed solution

Correct option is D

L=l(l+1)(h/2π),  Lz=m(h/2π) and  Lz=Lcosθ  Hence, m=l(l+1)cosθ

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