ElectrostaticsHard
Question
For a spherically symmetrical charge distribution, electric field at a distance r form the centre of sphere is
= kr7
, where k is a constant. What will be the volume charge density at a distance r from the centre of sphere ?
Options
A.ρ = 9kε0r6
B.ρ = 5kε0r3
C.ρ = 3kε0r4
D.ρ = 9kε0r0
Solution

By using Gauss law
(Note : Check dimensionally thatρ ∝ r6)
(kr7)(4πr6) =
Create a free account to view solution
View Solution FreeMore Electrostatics Questions
A positively charged pendulum is oscillating in a uniform electric field as shown in Figure. Its time period of SHM as c...An electric charge 10-8 C is placed at the point (4m, 7m, 2m). At the point (1m, 3m, 2m), the electric :...The potential at a point p due to an electric dipole is 1.8 × 105V. If p is at distance of 50 cm apart from the cen...Two point charges placed at a distance ′r′ in air exert a force ′F′. The value of distance at wh...A long cylindrical shell carries positive surface charge σin the upper half and negative surface charge −�...