Multiple choice

92X238 emits 5 α and 6 β particles, the product Y has the atomic number and mass number of _______ respectively.

  1. 90 and 218

  2. 82 and 218

  3. 88 and 218

  4. 88 and 230

  5. 84 and 222
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C Correct answer
Explanation

92X238 → 88Y218 Change in mass number = 238 - 218 = 20 The mass number changes only because of α-particle emission Hence, number of α-particles emitted = 20/4 = 5 After emission of 5 α-particles, the atomic number should change by 2 x 5 = 10 Actual change in atomic number = 92 - 88 = 4 Hence, number of β-particles emitted = 10 – 4 = 6 After emission of 5 α and 6β particles from 92X238, product formed is 88Y218. Atomic number of product = 88 Mass number of product = 218

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