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Chemistry Question on Quantum Mechanical Model of Atom

Which of the following sets of quantum numbers is not allowed?

A

n=3,l=2,ml=0,s=+12n=3,l=2,m_l=0,s=+\frac{1}{2}

B

n=3,l=2,ml=−2,s=+12n=3,l=2,m_l=-2,s=+\frac{1}{2}

C

n=3,l=3,ml=−3,s=−12n=3,l=3,m_l=-3,s=-\frac{1}{2}

D

n=3,l=0,ml=0,s=−12n=3,l=0,m_l=0,s=-\frac{1}{2}

Answer

n=3,l=3,ml=−3,s=−12n=3,l=3,m_l=-3,s=-\frac{1}{2}

Explanation

Solution

If n=3n = 3, then possible values of l=0,1,2l = 0, 1, 2
But in option (C), the value of l is given ‘33’, this is not possible.

So, the correct option is (C): n=3,l=3,ml=−3,s=−12n=3,l=3,m_l=-3,s=-\frac{1}{2}