Question

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

• A. 2 m
• B. 3 m
• C. $\frac{2m}{3}$
• D. $\frac{m}{2}$

Answer 1

The correct option is C $\frac{2m}{3}$

Given,

$m_1=m$

$m_2=2m$

The reduced mass of two particle system is given by

$\mu =\frac{m_1{m}_2}{m_1+m_2}$

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

$\mu =\frac{2m}{3}$

The correct option is C.