Let there be a spherically symmetric charge distribution with charge density varying as ρ (r)=ρ0 54-rR upto 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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ρ0r3e054-rR

4πρ0r3e053-rR

ρ0r4e053-rR

4ρ0r3e054-rR

answer is C.

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Detailed Solution

Total charge in r < R regionq=∫ρdv=∫0rρ054-rR4πr2dr =4πρ054r33-1Rr44=πρ0r353-rRElectric field E = kqr2=ρ0r4e053-rR

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