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Question
An electron revolving in a circular orbit of radius 'r' with velocity 'V' and frequency 'v' has orbital magnetic moment 'M'. If the frequency of revolution is doubled then the new magnetic moment will be ____________.
Options
`"M"/2`
`"M"/4`
2 M
M
MCQ
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Solution
An electron revolving in a circular orbit of radius 'r' with velocity 'V' and frequency 'v' has orbital magnetic moment 'M'. If the frequency of revolution is doubled then the new magnetic moment will be 2 M.
Explanation:
`"M" = "iA" = "e"/"t" xx pi""r^2`
`= "eV"/(2pi"r") xx pi"r"^2`
`= "eVr"/2 = ("er"^2 omega)/2`
`"M" prop omega`
`therefore "if" omega "is doubled, M will be doubled."`
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Origin of Magnetism in Materials
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