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In a hydrogen atom, the electron moves i...

In a hydrogen atom, the electron moves in an orbit of radius `0*5 Å`, making `10^(16)rps`. Calculate the magnetic moment associated with the orbital motion of electron.

Text Solution

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Here, `r=0*5Å=0*5xx10^(-10)m`,
`v=10^(16)rps, M=?`
Charge on electron, `e=1*6xx10^(-19)C`
Equivalent current, `I=e/T=ev`
Area of the orbit, `A=pir^2`
As `M=IA`
`:. M=ev(pir^2)=1*6xx10^(-19)xx10^(16)xx3*14xx(0*5xx10^(-10))^2`
`=1*256xx10^(-23)Am^2`
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