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A spherical distribution of charge densi...

A spherical distribution of charge density `rho = rho_(0)(1-r^(2)//9)` exists in the region `0 le r le 2`. The dielectric constant of the medium is 2. Find the electric field inside the sphere at a distance r from the centre.

A

`(rho_(0))/(90epsi_(0))[15r-r^(3)]`

B

`(rho_(0))/(45epsi_(0))[5r-8r^(3)]`

C

`(rho_(0))/(5epsi_(0))[45r-2r^(3)]`

D

`(rho_(0))/(2epsi_(0))[3r-4r^(3)]`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Let there be a spherically symmetric charge distribution with charge density varying as rho(r)=rho(5/4-r/R) upto r=R , and rho(r)=0 for rgtR , where r is the distance from the origin. The electric field at a distance r(rltR) from the origin is given by

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