AIPMT PRELIMS2005Physics-Kinematics

AIPMT PRELIMS 2005 Physics Relative Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

Two boys are standing at the ends A and B of a ground, where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v1. The boy at A starts running simultaneously with velocity v and catches the other boy in a time t, where t is :

A

a/(√(v²⁺ v21))

B

a/(a/√(v²⁻ v21))

C

a/(v - v1)

D

a/(v + v1)

Correct Answer

Option B

Detailed Explanation

The relative velocity of the boy at A with respect to the boy at B is v + v1. Therefore, the time taken to catch up is the distance divided by the relative velocity.

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