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Standard XII

Physics

Center of Mass as an Average Point

In a binary s...

Question

In a binary star system, two stars of masses m and 2m distance r apart are revolving about their common centre of mass under their mutual gravitational attraction.
The ratio of angular momenta of two star about centre of mass is

2 : 1

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1 : 2

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1 : 1

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1 : 4

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Solution

The correct option is A 2 : 1
$\frac{L_{1}}{L_{1}} = \frac{m_{1} r_{1}^{2} ω}{m_{2} r_{2}^{2} ω}$ , where $r_{1}$ and $r_{2}$ are respective distances from COM, such that $m_{1} r_{1} = m_{2} r_{2}$ .

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In a binary star system, two stars of masses m and 2m distance r apart are revolving about their common centre of mass under their mutual gravitational attraction. The ratio of angular momenta of two star about centre of mass is

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In a binary star system, two stars of masses m and 2m distance r apart are revolving about their common centre of mass under their mutual gravitational attraction.
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The correct option is A 2 : 1
$\frac{L_{1}}{L_{1}} = \frac{m_{1} r_{1}^{2} ω}{m_{2} r_{2}^{2} ω}$ , where $r_{1}$ and $r_{2}$ are respective distances from COM, such that $m_{1} r_{1} = m_{2} r_{2}$ .