Question

In hydrogen atom the electron is making $6.6\times {10}^{15}$ rev/s around the nucleus of radius 0.53 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 $12Wb/m^2$

Given : $\nu =6.6\times {10}^{15}$ rev/s $R=0.53$ A

Current flowing $I=e\nu$

$\therefore$ $I=1.6\times {10}^{-19}\times 6.6\times {10}^{15}$

$⟹$ $I=10.56\times {10}^{-4}$ A

Magnetic field at the center of orbit $B_c=\frac{{\mu }_{o}I}{2R}$

$\therefore$ $B_c=\frac{4\pi \times {10}^{-7}\times 10.56\times {10}^{-4}}{2\times 0.53\times {10}^{-10}}$

$⟹$ $B_c=12Wb/m^2$