Question

In a hydrogen atom, the electron moves in an orbit of radius $0.5A^o$ making ${10}^{16}$ revolution per second. The magnetic moment associated with the orbital motion of the electron is .................... $A{m}^2$.

• A. $1.602\times {10}^{-19}$
• B. $1.256\times {10}^{-22}$
• C. $1.67\times {10}^{-27}$
• D. $1.256\times {10}^{-23}$

Answer 1

The correct option is D $1.256\times {10}^{-23}$

$I=\frac{q}{T}=\frac{e}{T}=\frac{1.6\times {10}^{-19}\times {10}^{16}}{1}=1.6\times {10}^{-3}$

Magnetic moment $=IA=1.6\times {10}^{-3}\times \pi \times r^2$

Magnetic moment $=1.6\times {10}^{-3}\times 3.14\times {(0.5\times {10}^{-10})}^2=1.256\times {10}^{-23}$