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Center of Mass as an Average Point

AU the partic...

Question

AU the particles of a system are situated at a distance r from the origin. The distance of the centre of mass of the system from the origin is :

A

= r

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B

\leq r

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C

> r

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D

\leq 0

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Solution

The correct option is C $\leq r$
The largest distance between the origin and center of mass would be 'r' when there is only one particle.
If there are more than one particle, the center of mass would be inside the circle of radius 'r' centered at the origin.
Hence option B is correct.

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