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If n and l are respectively the principa...

If n and `l` are respectively the principal and azimuthal quantum numbers , then the expression for calculating the total number of electrons in any energy level is :

A

`underset(l=0)overset(l=n)Sigma 2(2l+1)`

B

`underset(l=1)overset(l=n-1)Sigma 2(2l+1)`

C

`underset(l=0)overset(l=n+1)Sigma2(2l+1)`

D

`underset(l=0)overset(l=n+1)Sigma 2(2l+1)`

Text Solution

Verified by Experts

The correct Answer is:
D

e.g. when `n=3 i=0,1,2`
Total eletrons `underset(l=0)overset(2)Sigma2(2l+1)`
`=2+2[2xx1+1]+2[2xx2+1]`
`=2+6+10=18` electrons
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