Physics · System Of Particles

JEE Main 2025 — 29 January, Evening Shift — Question 27

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R)

Assertion (A): Three identical spheres of same mass undergo one dimensional motion as shown in figure with initial velocities vA=5 m/s,vB=2 m/s,vC=4 m/s\mathrm{v}_{\mathrm{A}}=5 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{\mathrm{B}}=2 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{\mathrm{C}}=4 \mathrm{~m} / \mathrm{s} If we wait sufficiently long for elastic collision to happen, then vA=4 m/s,vB=2 m/s,vC=5 m/s\mathrm{v}_{\mathrm{A}}=4 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{\mathrm{B}}=2 \mathrm{~m} / \mathrm{s}, \mathrm{v}_{\mathrm{C}}=5 \mathrm{~m} / \mathrm{s} will be the final velocities.

Reason (R): In an elastic collision between identical masses, two objects exchange their velocities.

In the light of the above statements, choose the correct answer from the options given below

Question figure
  1. Option A:

    Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

  2. Option B:

    (A) is true but ( R\mathbf{R} ) is false

  3. Option C:

    Both (A) and (R) are true and (R) is the correct explanation of (A).

  4. Option D:

    (A) is false but (R) is true

    Correct

Answer: D

Step-by-step solution

In elastic collision for same mass, velocities interchange

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
System Of Particles
Topic
Collisions in One Dimension
Given below are two statements: One is labelled as Assertion (A) and… | JEE Main 2025 PYQ with Solution · DhiX AI