Let there be a spherically symmetric charge distribution with charge density varying as ρ(r)=ρ054−rR up to r=R and ρ(r)=0 for r>R, where r is the distance from the origin. The electric field at a distance r(r>R) from the origin is given by
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a
ρ0r4ε053−rR
b
4πρ0r3ε054−rR
c
2ρ0r4ε054−rR
d
ρ0r3ε054−rR
answer is A.
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Detailed Solution
Let us consider a spherical shell of radius x and thickness dx .Charge on this shelldq=ρ.4πx2dx=ρ054−xR⋅4πx2dx Total charge in the spherical region from centre to r (r