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Two stars of masses m1 and m2 are parts of a star system. The radii binary of their orbits are r1 and r2 respectively, measured from the centre of mass of the system. The magnitude of gravitational force m2 exerts on m1, is

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a

m1m2Gr1+r22

b

m1Gr1+r22

c

m2Gr1+r22

d

Gm1+m2r1+r22

answer is A.

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Detailed Solution

The situation is as shown in the figureAccording to Newtons law of gravitation force between two bodies of masses m1 and m2 is F=Gm1m2r2where r is the distance between the two masses.Here, r=r1+r2∴ F=Gm1m2r1+r22

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