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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a
If both statement I and statement II are true and statement II is the correct explanation of statement I.
b
If both statement I and statement II are true but statement II is not the correct explanation of statement I.
c
If statement I is true but statement II is false
d
If both statement I and statement II are 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.