Q.

For the orbital with wave funcion ψ3,2,1   the sum of angular momentum, spherical nodes and angular nodes is

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a

6 h2π+3

b

6 h+4π2π

c

6 h+8π2π

d

6h+2π2π

answer is D.

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Detailed Solution

ψ(n,l,m)=ψ(3,2,1)

orbital angular momentum =l(l+1)h2π=6h2π

Radial nodes (Spherical nodes) = n-l-1=3-2-1=0

Angular nodes = l=2

Sum of orbital angular momentum, spherical nodes and angular nodes

=6h2π+0+2

=6h2π+2

=6h+4π2π

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For the orbital with wave funcion ψ3,2,1   the sum of angular momentum, spherical nodes and angular nodes is