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An insulting thin rod of length l has a ...

An insulting thin rod of length `l` has a linear charge density `rho(x)=rho_(0)(x)/(l)` on it. The rod is rotated about an axis passing through the origin (x=0) and perpendicular to the rod. If the rod makes n rotations per second, then the time averaged magnetic moment of the rod is :

A

`pi nrhol^(3)`

B

`(pi)/(3)nrhol^(3)`

C

`(pi)/(4)nrhol^(3)`

D

`nrhol^(3)`

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