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Q.

The angle made by angular momentum vector of an electron with Z-axis is

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a

cosθ=l/m

b

cosθ=lm

c

cosθ=l+1lm

d

cosθ=ml+1l

answer is D.

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Detailed Solution

Z component of the angular momentumLZ=mh2πLZ=L cos θ = ll+1 cos θh2π∴    ll+1 cos θ=mor      cosθ=mll+1
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