Question

At which angle is the angular momentum maximum

Answer 1

For l=3 the total angular momentum is L=ll1ħ=331ħ=12ħ

the z-component of the angular momentum given by,

Lcos=Lz=mħ

where m is an integer varying from −3 to 3 hence there are 7

possibilities as illustrated by the diagram.

a) Therefore the minimum angle between the L and the z axis is given by

=cos

−1

mħ/12 ħ the minimum value being for maximum value of m=3 which

gives min=cos

−1

3/12=300

b) The maximum value of theta is given by ∣m∣min=0 , therefore max=900

Answer 2

Step-by-step explanation:

ans is given in picture this is correct answer. when angle is 90