Question

According to Bohr's model of hydrogen atom the electric current generated due to motion of electron in nth orbit is :

• A. $\frac{4\pi^{2}mk^{2}e^{4}}{n^{2}h^{2}}$
• B. $\frac{4\pi^{2}mk^{2}e^{5}}{n^{2}h^{2}}$
• C. $\frac{n^{2}h^{2}}{4\pi^{2}mk^{2}e^{5}}$
• D. $\frac{4\pi^{2}mk^{2}e^{5}}{n^{3}h^{3}}$

Answer 1

Answer: (D)

$\frac{4\pi^{2}mk^{2}e^{5}}{n^{3}h^{3}}$

Answer 2

$I_{n} = \frac{eV_{n}}{2\pi r_{n}} = \frac{e \times \left( \frac{2\pi Ke^{2}}{nh} \right)}{2\pi \times \left( \frac{n^{2}h^{2}}{4\pi^{2}me^{2}K} \right)} = \frac{4m^{2}mk^{2}e^{5}}{n^{3}h^{3}}$.