Question

In hydrogen atom, an electron is revolving in the orbit of radius $0.53\mathring{A}$ with $6.6\times {10}^{15}$ radiation/s. Magnetic field produced at the centre of the orbit is

• A. $0.125Wb/m^2$
• B. $1.25Wb/m^2$
• C. $12.5Wb/m^2$
• D. $125Wb/m^2$

Answer 1

The correct option is C $12.5Wb/m^2$

The magnetic field
$B=\frac{{\mu }_0}{4\pi }\cdot \frac{2\pi \left(qv\right)}{r}$
$={10}^{-7}\times \frac{2\times 3.14\times (1.6\times {10}^{-19}\times 1.6\times {10}^{15})}{0.53\times {10}^{-10}}$
$=12.5Wb/m^3$