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Q.

Figure shows a conducting sphere with a cavity. A point charge q1, is placed inside cavity, and q2 is placed out side the sphere. Ein is electric field due to charge induced on surface of cavity. Eout is electric field due to charge induced on outer surface of sphere and Enet  is net field at any point. Two closed gaussian surface S1 & S2 are also drawn in the figure. 

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a

Einda for surface S1 is q1ε0

b

Eout  da  for surface S2 is q1ε0

c

Enetda for surface S1 is zero 

d

Enet  da for surface S2 is q1+q2ε0

answer is A.

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Detailed Solution

Charge induced on inner surface of cavity –q1 

Charge induced on outer surface of sphere = q

Net charge enclosed by S1, is zero 

Net charge enclosed by S2 in q1 + q2
 

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