Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii R/2, R…

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 the figure. If magnitudes of the electric fields at point P at a distance R from the centre of spheres 1, 2 and 3 are E1,  E2 and E3 respectively, then

  1. E1>E2>E3
  2. E3>E1>E2
  3. E2>E1>E3
  4. E3>E2>E1

Solution

For point outside dielectric sphere E=Q4πε0r2
For point inside dielectric sphere E=EsrR
Exact Ratio E1 :E2 :E3=2 :4 :1

Asked in: JEE Advanced 2014 (Paper 2)

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