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JEE Main 20202 SeptemberEvening Shift
Exam
JEE Main
Year
2020
Date
2 September
Shift
Evening Shift
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2020 · 2 September · Evening Shift · Physics · Center of Mass, Momentum and Collision

A particle of mass m is moving along the x -axis with initial...

A particle of mass mm is moving along the xx-axis with initial velocity u\overset{^}{i}. It collides elastically with a particle of mass 10m10m at rest and then moves with half its initial kinetic energy (see figure). If sinθ1=nsinθ2sin{\theta}_{1} = \sqrt{n}sin{\theta}_{2} then value of n is ________.

A particle of mass m is moving along the x -axis with initial velocity u ^ i . It collides elastically with a particle

Correct answer

0

Step-by-step solution

From momentum conservation in perpendicular direction of initial motion.
mv1sinθ1=10mv2sinθ2{mv}_{1}{sin \theta}_{1} = 10{mv}_{2}{sin \theta}_{2}
Given that \left(\dfrac{1}{2}{mu}^{2}\right)\dfrac{1}{2} = \dfrac{1}{2}{mv}_{1}^{2} \ldots \ldots . ( 2 )<br />From equation (1) & (2)<br />{sin \theta}_{1} = \sqrt{10}{sin \theta}_{2}<br/><br />n = 10
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