For a spherically symmetrical charge distribution

PHYSICS · Single correct · AP · Physics C: Electricity and Magnetism · Electric Charges Fields and Gauss's Law · Electric Charges Fields and Gauss's Law

Problem

For a spherically symmetrical charge distribution, electric field at a distance rr from the centre of sphere is E⃗=kr7r^\vec{E}=kr^7\hat{r}, where kk is a constant. What will be the volume charge density at a distance rr from the centre of sphere? (A) ρ=3kε0r6\rho=3k\varepsilon_0 r^6 (B) ρ=5kε0r3\rho=5k\varepsilon_0 r^3 (C) ρ=3kε0r4\rho=3k\varepsilon_0 r^4 (D) ρ=9kε0r6\rho=9k\varepsilon_0 r^6

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