A spherical space of radius R is carrying some electric charge uniformly distributed over its entire volume. P is a point inside the sphere at a radial distance r from the centre. If the potential at P is 11/8 times the potential at the surface of the spherical space, then
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a
r=R2
b
r=R22
c
r=R2
d
r=R4
answer is C.
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Detailed Solution
Potential at a radial distance r r≤R is given by V=Vs23-r2R2∴118Vs=Vs23-r2R2⇒3-r2R2=114⇒r=R2
A spherical space of radius R is carrying some electric charge uniformly distributed over its entire volume. P is a point inside the sphere at a radial distance r from the centre. If the potential at P is 11/8 times the potential at the surface of the spherical space, then