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JEE Main 202324 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
24 January
Shift
Morning Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2023 · 24 January · Morning Shift · Physics · Nuclear Physics

Consider the following radioactive decay process: A 84218 α ⟶ A _ 1...

Consider the following radioactive decay process:

A84218⟶αA1⟶β−A2⟶γA3⟶αA4⟶β+A5⟶γA6A 84218 \overset{\alpha}{⟶}{A}_{1}\overset{{\beta}^{-}}{⟶}{A}_{2}\overset{\gamma}{⟶}{A}_{3}\overset{\alpha}{⟶}{A}_{4}\overset{{\beta}^{+}}{⟶}{A}_{5}\overset{\gamma}{⟶}{A}_{6}

The mass number and the atomic number of A6{A}_{6} are given by:

Options

  1. A210210 and 8282
  2. B210210 and 8484
  3. C210210 and 8080
  4. D211211 and 8080

Correct answer

C. 210210 and 8080

Step-by-step solution

When an alpha particle is emitted from nucleus the nucleus loses two proton and two neutrons. This means the atomic mass number decreases by 4 and the atomic number decreases by 2.

In beta decays, the mass number of the atoms remains the same, but the atomic number changes: the atomic number increases in the negative beta decay and decreases in the positive beta decay by 11, respectively.

In gamma decay, mass number and atomic number remains unchanged.

Step by step variation is given below:

84218A⟶α82214A1⟶β−83214A2⟶γ83214A3⟶α81210A4⟶β+80210A5⟶γ80210A684218 A\overset{\alpha}{⟶} 82214 {A}_{1}\overset{{\beta}^{-}}{⟶} 83214 {A}_{2}\overset{\gamma}{⟶} 83214 {A}_{3}\overset{\alpha}{⟶} 81210 {A}_{4}\overset{{\beta}^{+}}{⟶} 80210 {A}_{5}\overset{\gamma}{⟶} 80210 {A}_{6}

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