1) 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 A) $E_{1}$> $E_{2}$> $E_{3}$ B) $E_{3}$ > $E_{1}$> $E_{2}$ C) $E_{2}$ > $E_{1}$> $E_{3}$ D) $E_{3}$ > $E_{2}$> $E_{1}$ Answer: Option CExplanation:$E_{1}=\frac{kQ}{R^{2}}$ ,where $ k=\frac{1}{4\pi\epsilon_{0}}$ $E_{2}=\frac{k(2Q)}{R^{2}}\Rightarrow E_{2}=\frac{2kQ}{R^{2}}$ $E_{3}=\frac{k(4Q)R}{2R^{3}}\Rightarrow E_{3}=\frac{kQ}{2R^{2}}$ $E_{3}$ < $E_{1}$< $E_{2}$
