Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii R/2, R and 2R respectively as shown in figure below. If magnitudes of the electric fields point P at a distance R from the centre of sphere 1,2 and 3 are `E_(1) ,E_(2)` and `E_(2)` respectively ,then :

Options

A. `E_(1) gt E_(2) gt E_(3)`
B. `E_(3) gt E_(1) gt E_(2)`
C. `E_(2) gt E_(1) gt E_(3)`
D. `E_(3) gt E_(2) gt E_(1)`

Answer

C

Explanation

`E_(1)=(KQ)/R^(2)`
`E_(2)=(K(2Q))/R^(2)`
`E_(3)=(K(4Q))/((2R)^(3))xxR=(KQ)/(2R^(2))`
`E_(2) gt E_(1) gt E_(3)`