Question:

The reduced mass of two particles having masses $m$ and $2\, m$ is

  • $2\,m$
  • $3\,m$
  • $\frac{2m}{3}$
  • $\frac{m}{2}$
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The Correct Option is C

Solution and Explanation

Reduced mass $= \frac{m \times 2m}{m +2m}$
$ = \frac{2m}{3}$
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Concepts Used:

System of Particles and Rotational Motion

  1. The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
  2. The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
  3. The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.