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Question: A nucleus of an element \(84X^{202}\)emits an α-particle first, a β-particle next and then a gamma p...

A nucleus of an element 84X20284X^{202}emits an α-particle first, a β-particle next and then a gamma photon. The final nucleus formed has an atomic number.

A

200

B

199

C

83

D

198

Answer

83

Explanation

Solution

84X202→α−decay82Y198+2He484X^{202}{\overset{\quad\alpha - decay\quad}{\rightarrow}}_{82}Y^{198} +_{2}He^{4}and

82Y198→β−decay83Z198+−1⥂β082Y^{198}{\overset{\quad\beta - \text{decay}\quad}{\rightarrow}}_{83}Z^{198} +_{- 1} ⥂ \beta^{0}