Question

Which of the following statement is true if a body moves in a semicircular track whose radius is R *

1 point

(a) 2R is the displacement of the body

(b) πR is the distance travelled by the body

(c) Both (a) and (b) are correct

(d) None of the above

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Answer 1

Answer:

(b) πR is the distance travelled by the body

Answer 2

Answer:

When a body moves in a semicircular  track of radius R , the distance covered by it will be equal to πR and displacement of the body is equal to 2R.

Therefore, the option (c) is correct.

Explanation:

Given : the radius of the circular path is R.

Displacement is the  shortest distance covered by the body from starting point to final point.

Therefore, the displacement in half revolution of the circular track will be equal to its diameter

The displacement of the body = 2R

Distance is equal to total length travelled by the body.

Here, the distance travelled will be equal to half of the perimeter of the circular track.

Distance travelled by the body $=\frac{2\pi R}{2}=\pi R$