Question

In the Bohr model of the hydrogen atom, the electron circulates around the nucleus in a path of radius with angular frequency w. The equivalent magnetic dipole moment set up at the centre of the orbit is

• A. $\mathrm { ew } \pi \mathrm { r } ^ { 2 }$
• B.
• C. $2 \mathrm { ew } \pi \mathrm { r }$
• D. ewr

Answer 1

Answer: (B)

Answer 2

$\mu = \mathrm { iA } = \left( \frac { \mathrm { ew } } { 2 \pi } \right) \left( \pi \mathrm { r } ^ { 2 } \right) = \frac { \mathrm { ewr } ^ { 2 } } { 2 }$