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 :
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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