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Question: Answered & Verified by Expert
A nucleus with $\mathrm{Z}=92$ emits the following in a sequence:
$\alpha, \beta^{-}, \beta^{-} \alpha, \alpha, \alpha, \alpha, \alpha, \beta^{-}, \beta^{-}, \alpha, \beta^{+}, \beta^{+}, \alpha$. Then $\mathrm{Z}$ of the resulting nucleus is
PhysicsNuclear PhysicsJEE MainJEE Main 2003
Options:
  • A
    $76$
  • B
    $78$
  • C
    $82$
  • D
    $74$
Solution:
1190 Upvotes Verified Answer
The correct answer is:
$78$
No. of $\alpha$ particles emitted $=8, \quad$ No. of $\beta^{-}$particles emitted $=4, \quad$ No.of $\beta^{+}$particles emitted $=2$
$z=92-2 \times 8+4-2=78$

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