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Q.

In the figure shown spheres S1,S2,S3  have radii R, R/2, R/4 respectively.  C1,C2 and C3  are their centres lying in the same plane. Angle C1,C2,C3  is right angle. Sphere  S3 has a uniformly spread volume change density 4ρ . The other spheres S1  and S2  have uniform volume charge density ρ  and 2ρ  respectively. Then

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a

The electric field at a point A at a distance R/8 from C3  on the  C2C3 is  5ρR6ε0

b

The electric field at point B at a distance R/8 from C2  on the line C2C3  is  43ρR24ε0

c

The electric field at point A at a distance R/8 from C3  on the line C2C3  is  41ρR24ε0

d

The electric field at point B at a distance R/4 from C2 on the line C1C3  is  5ρR6ε0

answer is A.

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Detailed Solution

EA=v3ε0(C1A)+v3ε0(C3A)+2v3ε0(C2A)

|EA|=5vR6ε0

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