Q18 / 155 · WBJEE 2019 · Chemistry
Consider, the radioactive disintegration ${ }_{82} A^{210} \rightarrow B \rightarrow C \rightarrow{ }_{82} D^{206}$, The sequence of emission can be
- A$\beta, \beta, \beta$
- B$\alpha, \alpha, \beta$
- C$\beta, \beta, \gamma$
- Correct answerD$\beta, \beta, \alpha$
Solution
Given, $82^{A^{210}} \longrightarrow B \longrightarrow C \longrightarrow{ }_{82} D^{206}$
i.e. difference in mass no. between $A$ and $D$ is of 4 units i.e., mass no. is decreased by 4 units while atomic no. remains the same, i.e. 82 for $A$ and $D$.
Also,
(i) On emission of each $\beta$ -particle, mass no. remains the same but atomic no. is increased by one unit.
(ii) On emission of each $\alpha$ -particle, mass no. is decreased by 4 units, while atomic no. is decreased by 2 units.
Thus, on emission of $2-\beta$ and $1-\alpha$ particle, we get $_{82} D^{206}$
i.e. ${ }_{82} A^{210} \stackrel{-\beta}{\longrightarrow}{ }_{83} A^{210} \stackrel{-\beta}{\longrightarrow}{ }_{84} A^{210} \stackrel{-a}{\longrightarrow}{ }_{82} A^{206}$
Thus, option (d) is the correct answer.
Hence, the correct answer is option: 'D'.