Question

In hydrogen atom the electron is making $6.6\times {10}^{15}$ rev/s around the nucleus of radius $0.50$ $\mathring{A}$ . The magnetic field produced at the centre of the orbit is nearly

• A. $0.12Wb/m^2$
• B. $1.2Wb/m^2$
• C. $12Wb/m^2$
• D. $120Wb/m^2$

Answer 1

The correct option is C $12Wb/m^2$

Magnetic field produced at the centre
$B=\frac{{\mu }_{0}1}{2r}$
$\frac{{\mu }_0}{2r}$ $\frac{q}{T}$
$\frac{{\mu }_0}{2r}ef$
$\therefore B=\frac{4\pi \times {10}^{-7}}{2\times 0.53\times {10}^{-10}}\times 1.6\times {10}^{-19}\times 6.6\times {10}^{15}$
$=\frac{2\pi }{0.53}\times 1.6\times 6.6\times {10}^{-1}$
$\simeq 12Wb/m^2$