An insulating spherical shell of uniform surface charge density is cut into two parts and placed at a distance d apart as shown in figure. ${\vec{E}}_{p} and {\vec{E}}_{Q}$ denote the electric fields at P and Q, respectively. $d (i.e. PQ) \to \infty$

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$|{\vec{E}}_{P}| > |{\vec{E}}_{Q}|$

$|{\vec{E}}_{P}| = |{\vec{E}}_{Q}|$

$|{\vec{E}}_{P}| < |{\vec{E}}_{Q}|$

${\vec{E}}_{P} + {\vec{E}}_{Q} = 0$

answer is B, D.

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Detailed Solution

The electric field inside any point of the sphere is zero. Therefore $E_{P} a n d E_{Q} e q u a l i n m a g n i t u d e b u t o p p o s i t e l y d i r e c t e d .$

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