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A particle of the charged `q` and `mass m` moves in a circular orbit of radius `r ` with angular speed ` omega` . The ratio of the magnitude of its magnetic moment to that of its angular momentum depends onA. ` omega and q `B. ` omega , q and m `C. ` q and m `D. ` omega and m ` |
Answer» Correct Answer - C The angular momentum `L` of the particle is given by ` L = mr^(2)omega` where `omega = 2 pin`. :. Frequency ` n = (omega)/( 2pi)` , Further ` I = qxxn = ( omega q)/( 2 pi)` magnetic moment , `M = I A = ( omega q)/( 2 pi)xx pir^(2)` :. ` M = ( omegaqr^(2))/(2) ` S0 , `(M)/(L) = ( omega q r^(2))/ ( 2mr^(2)omega) = (q)/(2 m) ` |
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