Question

Angular momentum in second Bohr orbit of H-atom is $x$. Then find out angular momentum in 1st excited state of ${Li}^{+2}$ ion:

• A. $3x$
• B. $9x$
• C. $\frac{x}{2}$
• D. $x$

Answer 1

The correct option is D $x$

$\begin{array}{c}\text{we know,}\\ \text{Angular momentum}=\frac{nh}{2\pi }\end{array}$

$\begin{array}{c}\text{Given,}\\ \text{For}n=2\\ \text{Angular momentum =}x\\ x=\frac{2h}{2\pi }--\left(i\right)\end{array}$

$\text{for}{1}^{\text{st}}\text{excited state means}n=2$

$\begin{array}{cc}& A\cdot M=\frac{2h}{2\pi }-\left(11\right)\\ \therefore & \left(i\right)=\left(ii\right)\end{array}$

$\text{Angular mementum}=x$