A double star consists of two stars having mass M and 2 M- The distance between their centre is equal to r- They revolve under their mutual gravitational interaction- Then which of the following statements is-are correct-A- heavier star revolves in orbit of radius r -3B- Kinetic energy of heavier star is twice of that of the other star-C- lighter star revolves in orbit of radius 2 r -5D- All above are correct-

The correct option is A heavier star revolves in orbit of radius r/3 Taking M as origin applying Comm x_cm=M(0)+(2m)r/3M=2/3r So, from heavier black r/3 ...

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Byju's Answer

Standard XII

Physics

Center of Mass as an Average Point

A double star...

Question

A double star consists of two stars having mass M and 2M. The distance between their centre is equal to r. They revolve under their mutual gravitational interaction. Then which of the following statements is/are correct.

heavier star revolves in orbit of radius $\frac{r}{3}$

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Kinetic energy of heavier star is twice of that of the other star.

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lighter star revolves in orbit of radius $\frac{2 r}{5}$

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All above are correct.

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Solution

The correct option is A
heavier star revolves in orbit of radius $\frac{r}{3}$

Taking M as origin applying Comm
$x_{c m} = \frac{M (0) + (2 m) r}{3 M} = \frac{2}{3} r$
So, from heavier black $\frac{r}{3}$

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A double star consists of two stars having mass M and 2M. The distance between their centre is equal to r. They revolve under their mutual gravitational interaction. Then which of the following statements is/are correct.

The correct option is A heavier star revolves in orbit of radius r3 Taking M as origin applying Comm xcm=M(0)+(2m)r3M=23r So, from heavier black r3

The correct option is A
heavier star revolves in orbit of radius $\frac{r}{3}$

Taking M as origin applying Comm
$x_{c m} = \frac{M (0) + (2 m) r}{3 M} = \frac{2}{3} r$
So, from heavier black $\frac{r}{3}$