JEE Main 2017PhysicsCenter of Mass Momentum and CollisionHardMCQ

JEE Main 2017 — Center of Mass Momentum and Collision Question with Solution

JEE Main 2017 (09 Apr Online)

Question

Two particles A and B of equal mass M are moving with the same speed v as shown in figure. They collide completely inelastic and move as a single particle C. The angle θ that the path of C makes with the X-axis is given by-

Choose an option

Show full solutionCorrect option: D
Correct answer
Dtan⁡θ=3+ 21- 2

Step-by-step explanation

After inelastic collision mass of the combination is 2m

v' be the velocity of the combined mass

Using conservation of momentum along X and Y-axis

2mv′sin⁡θ=mv2+mv32

2mv′cos⁡θ=mv2-mv2

2sinθ2cosθ=12+3212-12=2+31-2   

tan θ=2+3 1- 2

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About this question

This is a previous-year question from JEE Main 2017, covering the Center of Mass Momentum and Collision chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.