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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=1,l=0,ml=0,ms=−12n=1, l=0, m_l=0, m_s=− \frac{1}{2}

B

n=3,l=2,ml=−1,ms=12n=3,l=2,m_l=−1,m_s= \frac{1}{2}

C

n=5,l=2,ml=−3,ms=−12n=5,l=2,m_l=−3,m_s=−\frac{1}{2}

D

n=4,l=3,ml=−2,ms=12n=4,l=3,m_l=−2,m_s=\frac{1}{2}

Answer

n=5,l=2,ml=−3,ms=−12n=5,l=2,m_l=−3,m_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 ‘3’, this is not possible.

So, the correct option is (C): n=5,l=2,ml=−3,ms=−12n=5,l=2,m_l=−3,m_s=−\frac{1}{2}