Easy MCQ +4 / -1 PYQ · JEE Mains 2024

In a hypothetical fission reaction

${ }_{92} X^{236} \rightarrow{ }_{56} \mathrm{Y}^{141}+{ }_{36} Z^{92}+3 R$

The identity of emitted particles (R) is :

  1. A Proton
  2. B Neutron Correct answer
  3. C Electron
  4. D $\gamma$-radiations

Solution

<p>In the given hypothetical fission reaction:</p> <p>$^{236}_{92} X \rightarrow \, ^{141}_{56} Y + \, ^{92}_{36} Z + 3 R$</p> <p>We need to determine the identity of particles denoted by $ R $. Let's use the conservation of charge and mass number (nucleon number) to identify $ R $.</p> <p>First, for the conservation of nucleon number (mass number), we have:</p> <p>$236 = 141 + 92 + 3 \times A_R$</p> <p>Where $ A_R $ is the mass number of $ R $. This simplifies to:</p> <p>$236 = 233 + 3A_R$</p> <p>$3A_R = 236 - 233$</p> <p>$3A_R = 3$</p> <p>$A_R = 1$</p> <p>Next, we use the conservation of charge (atomic number), we have:</p> <p>$92 = 56 + 36 + 3Z_R$</p> <p>Where $ Z_R $ is the atomic number of $ R $. This simplifies to:</p> <p>$92 = 92 + 3Z_R$</p> <p>$3Z_R = 92 - 92$</p> <p>$3Z_R = 0$</p> <p>$Z_R = 0$</p> <p>Since the particle $ R $ has a mass number of 1 and atomic number of 0, it must be a neutron.</p> <p>So, the identity of the emitted particles $ R $ is:</p> <p><strong>Option B: Neutron</strong></p>

About this question

Subject: Physics · Chapter: Atoms and Nuclei · Topic: Bohr's Model of Hydrogen Atom

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