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Stability and centre of mass - class-X

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The reduce mass of two particles having masses m and 2 m is 

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A
$\dfrac {2 m}{3}$
💡 Explanation:

Given,

$m _1=m$
$m _2=2m$

The reduced mass of two particle system is given by
$\mu=\dfrac{m _1m _2}{m _1+m _2}$

$\mu=\dfrac{m\times 2m}{m+2m}$

$\mu=\dfrac{2m}{3}$
The correct option is C.

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