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Question

# Quantum numbers of the electrons are given (i) n=4,ms=âˆ’12 (ii) n=3,l=0(iii) n=2,l=1(iv) n=2,l=0How many electrons in an atom may have these quantum numbers?

A
16,2,6,2
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B
32,18,8,8
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C
16,6,8,6
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D
16,2,6,4
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Solution

## The correct option is A 16,2,6,2Option A is correct Solution: Total number of electrons in n shell =2n2 total number of electrons in a orbitals = 2 (a) n=4,ms=−1/2 total number of electrons in n = 4 shell=2(4)2=2× 16=32 but we know, there are two spin quantum number positive spin and negative spin . hence, half of electrons are positive spin and half of electrons are negative spin . so, 16 electrons have ms/=−1/2 (b) n = 3 , l = 0 it is 3s orbital . so, number of electrons in 3s orbital = 2 (C) n=2, l=1 2p=6 as p shell have 3 orbital and 1 orbital can accommodate 2 electrons. Option A is correct answer

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