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 ____________.

विकल्प

• `"M"/2`

• `"M"/4`

• 2 M

• M

Answer 1

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."`