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Statement I : If there are no external forces, the centre of mass of a double star moves like a free particle.
Statement II : If we go to the centre of mass frame, then we find that the two stars are moving in a circle about the centre of mass, which is at rest.

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If both statement I and statement II are true and statement II is the correct explanation of statement I.

If both statement I and statement II are false

If both statement I and statement II are true but statement II is not the correct explanation of statement I.

If statement I is true but statement II is false

answer is B.

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Detailed Solution

In our frame of reference, the trajectories of the stars are a combination of

(i) uniform motion in a straight line of the centre of mass and

(ii) circular orbits of the stars about the centre of mass.

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