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A solid sphere of radius R has a charge ...

A solid sphere of radius R has a charge Q distributed in its volume with a charge density `rho=kr^a`, where k and a are constants and r is the distance from its centre. If the electric field at `r=(R)/(2)` is `1/8` times that `r=R`, find the value of a.

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Knowledge Check

  • A solid sphere of radius R has a charge Q distributed in its volume with a charge density rho=kr^(a) , where k and a are constants and r is the distance from its centre. If the electric field at r=(R )/(2) is (1)/(8) times that at r = R , the value of a is

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    B
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