Question

A particle is moving in a circular path of radius’ r’. The displacement after travelling quarter of a circle would be

Answer 1

Explanation:

Since distance is the length of path covered therefore it will be equal to half the circumference i.e. 1/2 × 2pi r or pi × r. And the displacement is equal to the distance between initial and final point. Therefore it will be equal to the diameter or r+r=2r. ... Physics: A body moves on a quarter circle of radius r.......

Answer 2

The displacement after traveling a quarter of a circle would be r√2.

Given: A particle is moving in a circular path of radius’ r’.

To Find: The displacement after traveling a quarter of a circle.

Solution:

• We know that displacement is the shortest route taken by a body to reach from one point to the other.

Coming to the numerical, it is said that the particle has covered a quarter of a circle distance.

So, the shortest distance is the hypotenuse formed by the triangle formed by two radii of the circle.

So, the displacement is = √( r² + r² )

                                       = r√2

Hence, the displacement after traveling a quarter of a circle would be r√2.

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