Questions

Two concentric spherical shells have masses $M_{1}, M_{2}$ and radii $R_{1}, R_{2} (R_{1} < R_{2})$ , What is a force exerted by this system on a particle of mass $m_{1}$ if it is placed at a distance $(R_{1} + R_{2}) / 2$ from the centre?

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4GM1m(R1+R2)2

4GM1m(R1+R2)

4GM2m(R1+R2)

4GM2m(R1−R2)2

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detailed solution

Correct option is A

The gravitational force on ‘m1’ due to the shell of M2 is 0(As the mass is inside the shell).m1 is at a distance R1+R22 Then the gravitational force due tothe shell of M1 is given by=GM1mR1+R222 =4GM1m(R1+R2)2

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