What would be the displacement of a particle moving in a circular path of radius r after a displacement of half a circle?

Correct option is C

Ans.(c) 2r

Explanation:
The correct answer is 2r. When a particle moves half a circle, the shortest distance between its starting and ending positions is the diameter of the circle, which equals 2r. This is different from the total path traveled (which is half the circumference).

Displacement=2r,Distance=12(2πr)=πr\text{Displacement} = 2r, \quad \text{Distance} = \frac{1}{2} (2\pi r) = \pi rDisplacement=2r,Distance=21​(2πr)=πr

Information Booster:
● Displacement is a vector quantity that considers direction.
● Distance is the actual path traveled and is always greater than or equal to displacement.
● In circular motion, displacement is zero for a complete revolution.
● The concept applies to satellite orbits, planetary motion, and roller coasters.

Additional Information:

• (a) 2πr: Incorrect, represents circumference, not displacement.
• (b) πr: Incorrect, represents distance traveled (half-circle).