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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` |
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Answer» Correct Answer - c The angular momentum L of the particle is given by `L=mr^2omega` `to` where `omega=2pin` `:.` Frequency `n=omega/(2pi)` Further `ip=qxxn=(omegaq)/(2pi)` Magnetic moment, `M=iA=(omegaA)/(2pi)xxpir^2` `:. M=(omegaqr^2)/2 implies M/L=(omegaqr^2)/(2mr^2omega)=q/(2m)`. |
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