A body is moving along the circumference of a circle of radius R and completes half of the revolution. Then, the ratio of its displacement to distance is

Question

A body is moving along the circumference of a circle of radius R and completes half of the revolution. Then, the ratio of its displacement to distance is (A) π: 2  (B) 2: 1 (C) 2: π (D) 1:2

Tardigrade Admin · Accepted Answer

Displacement is the minimum distance between the start and end point. Hence, the displacement in this case will be the diameter of the circle, i.e., 2 R. Distance is the length of path covered by the particle/object. Here, the distance will be π R. Therefore, the ratio of displacement to distance is 2: π

Q. A body is moving along the circumference of a circle of radius $R$ and completes half of the revolution. Then, the ratio of its displacement to distance is

$π : 2$

2 : 1

$2 : π$

1:2

Q. A body is moving along the circumference of a circle of radius R and completes half of the revolution. Then, the ratio of its displacement to distance is

π:2

2 : 1

2:π

1:2

Q. A body is moving along the circumference of a circle of radius $R$ and completes half of the revolution. Then, the ratio of its displacement to distance is

$π : 2$

$2 : π$