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Physics

A nucleus 84X202 of an element emits an alpha particle followed by a beta particle. The final nucleus is aYb. Find a and b.

Radioactivity

ICSE 2020

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Answer

The emission of alpha and beta particle is represented below:

84202X 82198Z+ 24He (α particle emission)82198Z 83198Y+ 1   0e (β particle emission)_{84}^{202}\text{X} \longrightarrow \space _{82}^{198}\text{Z} + \space _{2}^{4}\text{He} \text{ (α particle emission)} \\[2em] _{82}^{198}\text{Z} \longrightarrow \space _{83}^{198}\text{Y} + \space _{-1}^{\space \space \space 0}e \text{ (β particle emission)}

∴ a = 83 and b = 198

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