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The maximum number of electron that can ...

The maximum number of electron that can be accommodated in `4^(th)` shell is.

A

`8`

B

`16`

C

`32`

D

`50`

Text Solution

Verified by Experts

`[C]" "n^(th)` shell
principal quantum number
`{:(,K,,L,,M,,N,),(,n=1,,2,,3,,4,):}`
Possible value of `l` for `n=4`
`l=0,1.2,3`
no. of sub shells =4 [number of subshell in a shell = n]
`{:(l=0,,,-,,,s),(l=1,,,-,,,p),(l=2,,,-,,,d),(l=3,,,-,,,f):}`
number of orbitals in a subshell `-2l+1`
`{:(s-1 " orbital",,,d-5 " orbital"),(p-3 " orbital",,,f-7 " orbital"):}`
Total number of orbital `=n^(2)=4^(2)=16` in a shell
Total number of electron in each orbital `=2`
implies Total electron accomodated in N shell `=16xx2=32`
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