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What is magnetic moment! An electron is ...

What is magnetic moment! An electron is revolving with a frequency `10^(15) Hz` along a circular path of radius `1Å.` Find the magnitude of magnetic moment.

Text Solution

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Here , frequency, `v = 19 ^(15) Hz`
Radius,` r =1 Å = 10 ^(-10) m`
`therefore` Magnetic moment, `M = lA`
`= (e)/(T) = ( pi r ^(2)) `[Current, `l = (e)/(T)]`
`= (e)/( 1//v) xx ( pi r ^(2)) `[Frequency, `v = (1)/(T) `]
`= ev xx ( pi r ^(2))`
`= 1.6 xx 10 ^(-19) xx 10 ^(15) xx 3.14 xx 10 ^(-10) xx 10 ^(-10)`
`= 5.024 xx 10 ^(-24) A-m^(2)`
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