What is the displacement of a particle moving in a circular path of radius r when it complete half round?

A particle is moving in a circular path of radius r. The displacement after half a circle would be :

2r

Displacement is the difference between the final and initial position of a body. It is a vector quantity and is independent of the path taken. So, for the movement of half of a circle, the displacement is 2r, where r is the radius of the circular path.

Concept: Distance and Displacement

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Answer

Text Solution

zero `pi`r 2r`2pi` r

Answer : C

Solution : Given, aftar half the circle, the particle will reach the diametrically opposite opint i.e., from point A to point B. And we know displacement is shortest path between initial and final point. <br> `:.` Displacement after half circle = AB = OA + OB [`because` Given , OA and OB = r] <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_NCERT_EXE_SCI_IX_C08_S01_001_S01.png" width="80%"> <br> = r + r = 2r <br> Hence, the displacement aftar half circle is 2r.