In Bohr model of hydrogen atom, an electron is revolving in second orbit. Find the value of: (i) angular momentum of electron, (ii) radius of the…

(i) Angular momentum of electron $\displaystyle 1$

(ii) Radius of the orbit $\displaystyle 1$

(iii) Kinetic energy of electron

(i) \(\displaystyle L=\frac{n h}{2 \pi}\) for \(\displaystyle n=2\) \[\begin{aligned} L & =\frac{2 \times 6.63 \times 10^{-34}}{2 \times 3.14} \\ & =2.11 \times 10^{-34} \mathrm{~kg} \mathrm{~m}^{2} \mathrm{~s}^{-1} \end{aligned} \]

(ii) \(\displaystyle r_{n}=n^{2} r_{0}\) \[\begin{aligned} & r_{2}=4(0.5 \stackrel{0}{\mathrm{~A}}) \\ & r_{2}=2 \stackrel{0}{\mathrm{~A}} \end{aligned} \]

(iii) Total energy of electron \(\displaystyle =-\frac{13.6}{n^{2}} \mathrm{eV}\) \[E=-3.4 \mathrm{eV} \quad(n=2) \] \[K=-E \] \[K=3.4 \mathrm{eV} \]