JEE (Advanced) 2014 Paper-2 Question 4

Question 4

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. If magnitudes of the electric fields at point P at a distance R from the center of spheres 1, 2 and 3 are $$E_1 , E_2$$ and $$E_3$$ respectively, then

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