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A non-conducting thin disc of radius R r...

A non-conducting thin disc of radius R rotates about its axis with an angular velocity `omega`. The surface charge density on the disc varies with the distance r from the centre as `sigma(r)=sigma_(0)[1+((r)/(R))^(beta)]`, where `sigma_(0)` and `beta` are constants. If the magnetic induction at the center is `B=((9)/(10))mu_(0)sigma_(0)omegaR`, the value of `beta` is

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