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JEE Main 202226 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
26 July
Shift
Evening Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2022 · 26 July · Evening Shift · Physics · Dual Nature of Matter

A nucleus of mass M at rest splits into two parts having masses M ^...

A nucleus of mass MM at rest splits into two parts having masses M′3\dfrac{{M}^{'}}{3} and 2M′3(M′<M)\dfrac{2{M}^{'}}{3}\left({M}^{'} < M\right). The ratio of de Broglie wavelength of two parts will be

Options

  1. A1:21: 2
  2. B2:12: 1
  3. C1:11: 1
  4. D2:32: 3

Correct answer

C. 1:11: 1

Step-by-step solution

Since the initial momentum of the system is zero. To keep the final momentum zero, the momentum of both parts should be equal and opposite in direction.

∣P→1∣=∣P→2∣</p><p>Here\left|\overset{\to}{P}1\right| = \left|\overset{\to}{P}2\right|</p><p>Here\overset{\to}{P}ismomentum</p><p>De−Brogliewavelengthisgivenbyis momentum</p><p>De-Broglie wavelength is given by\lambda = hP</p><p>Hence,bothwillhavesamedeBrogliewavelength.</p><p>Therefore,\dfrac{h}{P}</p><p>Hence, both will have same de Broglie wavelength.</p><p>Therefore,{\lambda}_{1}: {\lambda}_{2} = 1: 1.</p></blockquote>.</p></blockquote>

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