In a hydrogen atom, an electron is revolving | vedclass

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(C) The magnetic field $B$ at the center of a circular current loop is given by $B = \frac{\mu_0 I}{2r}$.Here, the current $I = q 	imes 
u$, where $

Vedclass · Accepted Answer

$12.5$

Vedclass · Answer

(C) The magnetic field $B$ at the center of a circular current loop is given by $B = \frac{\mu_0 I}{2r}$.Here, the current $I = q 	imes 
u$, where $q = 1.6 	imes 10^{-19} \, C$ is the charge of the electron and $
u = 6.6 	imes 10^{15} \, Hz$ is the frequency of rotation.The radius $r = 0.53 \, 	ext{\AA} = 0.53 	imes 10^{-10} \, m$.Substituting the values:$B = \frac{4\pi 	imes 10^{-7} 	imes (1.6 	imes 10^{-19} 	imes 6.6 	imes 10^{15})}{2 	imes 0.53 	imes 10^{-10}}$$B = \frac{2 	imes 3.14 	imes 10^{-7} 	imes 1.6 	imes 6.6 	imes 10^{-4}}{0.53 	imes 10^{-10}}$$B \approx 12.5 \, Wb/m^2$.

In a hydrogen atom, an electron is revolving in an orbit of radius $0.53 \, \text{\AA}$ with $6.6 \times 10^{15} \, \text{rotations/second}$. The magnetic field produced at the centre of the orbit is ....... $Wb/m^2$.

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