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An object is moving on a circle of radius R. when it completes half circle, then the distance and displacement travelled by it will be:
Question



An object is moving on a circle of radius R. when it completes half circle, then the distance and displacement travelled by it will be:

A.

πR, R

B.

2πR, R

C.

πR, 2R

D.

2πR, 2R

Correct option is C


The correct answer is πR, 2R.
An object is moving on a circle of radius R and completes half a circle
1. Circumference of the Circle:
· Formula: 2πR, where R is the radius of the circle.
2. Diameter of the Circle:
· Formula: 2R, where R is the radius of the circle.
3. Displacement:
· The shortest distance between two points on the path.
An object is moving on a circle of radius R
The circumference of a circle is 2πR, where R is the radius of the circle.
⇒Total Distance is 2πR but
It completes half circle
⇒2πR/2
⇒πR
∴ distance is πR to cover half Circle.
Displacement = The shortest distance between two points
⇒2R, where R is the Radius.
∴πR,2R is the distance and displacement to cover the half circle.

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