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Q.

A short electric dipole of dipole moment  is placed at a distance r from the centre of a solid metallic sphere of radius a (<< r) as shown in the figure. The electric field intensity at the centre of sphere C due to induced charge on the sphere is 

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a

14πε02pr3 along CO

b

14πε02pr3 along OC

c

zero

d

14πε0pr3along CO

answer is B.

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Detailed Solution

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Electric field at C due to electric dipole =14πε02pr3 along OC

Electric field at C due to induced charge must be equal and opposite to electric field due to dipole as net field at C is zero.

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