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Q.

Two identical spheres each of radius R are kept at centre-to-centre spacing 4R as shown in the figure. They are charged and the electrostatic force of interaction between them is first calculated assuming them point like charges at their centres and the force is also measured experimentally. The calculated and measured forces are denoted by Fc and Fm respectively. (Fc and Fm denote magnitude of force) 

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a

When they carry charges of the same sign Fc<Fm and when they carry charges of opposite signs Fc>Fm irrespective of their material. 

b

When they carry charges of the same sign Fc>Fm and when they carry charges of opposite signs Fc<Fm only when they are insulators

c

When they carry charges of the same sign Fc>Fm and when they carry charges of opposite signs Fc<Fm irrespective of their material.

d

When they carry charges of the same sign Fc>Fm and when they carry charges of opposite signs Fc<Fm only when they are conductors

answer is D.

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Detailed Solution

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If both the spheres have charges of similar signs, charge distribution will be similar due to induction in conductors are polarization in insulators.

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If both the spheres have charges of opposite sign, charge distributions is as shown. 

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