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JEE Main 202226 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
26 June
Shift
Morning Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2022 · 26 June · Morning Shift · Physics · Nuclear Physics

How many alpha and beta particles are emitted when Uranium U 92 ^...

How many alpha and beta particles are emitted when Uranium U92238{U 92}^{238} decays to lead Pb82206{Pb 82}^{206}?

Options

  1. A33 alpha particles and 55 beta particles
  2. B66 alpha particles and 44 beta particles
  3. C44 alpha particles and 55 beta particles
  4. D88 alpha particles and 66 beta particles

Correct answer

D. 88 alpha particles and 66 beta particles

Step-by-step solution

U92238→Pb82206U 92238 \to Pb 82206

Change in mass number is 4α=238−206=32⇒α=84\alpha = 238 - 206 = 32 ⇒ \alpha = 8

Change in atomic number is −2α+β=−10⇒−16+β=−10⇒β=6- 2\alpha + \beta = - 10 ⇒ - 16 + \beta = - 10 ⇒ \beta = 6

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