Question

Which of the following orbitals has an orbital angular momentum of $\sqrt{3}\frac{h}{\pi }$?

• A. $4s$
• B. $3p$
• C. $4d$
• D. $5f$

Answer 1

The correct option is D $5f$

We know that,
Orbital angular momentum 'L'$=\sqrt{l(l+1)}\frac{h}{2\pi }$

So according to the question,

$\sqrt{l(l+1)}\frac{h}{2\pi }=\sqrt{3}\frac{h}{\pi }$

So, $l=3$

Hence, it is a ${}^{\prime }{f}^{\prime }$ subshell and $5f$ is the only possible answer.