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Question Number 137429 by physicstutes last updated on 02/Apr/21

A nuclide _(81)^(210) X decays to another nuclide _(80)^A Y in   four successive radioactive decays. Each decay  involves the emmision of either an alpha particle  or a beta particle. The value of A is:  A. 120           B. 206  C. 208            D. 212

$$\mathrm{A}\:\mathrm{nuclide}\:_{\mathrm{81}} ^{\mathrm{210}} {X}\:\mathrm{decays}\:\mathrm{to}\:\mathrm{another}\:\mathrm{nuclide}\:_{\mathrm{80}} ^{{A}} {Y}\:\mathrm{in}\: \\ $$$$\mathrm{four}\:\mathrm{successive}\:\mathrm{radioactive}\:\mathrm{decays}.\:\mathrm{Each}\:\mathrm{decay} \\ $$$$\mathrm{involves}\:\mathrm{the}\:\mathrm{emmision}\:\mathrm{of}\:\mathrm{either}\:\mathrm{an}\:\mathrm{alpha}\:\mathrm{particle} \\ $$$$\mathrm{or}\:\mathrm{a}\:\mathrm{beta}\:\mathrm{particle}.\:\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:{A}\:\mathrm{is}: \\ $$$$\mathrm{A}.\:\mathrm{120}\:\:\:\:\:\:\:\:\:\:\:\mathrm{B}.\:\mathrm{206} \\ $$$$\mathrm{C}.\:\mathrm{208}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{D}.\:\mathrm{212} \\ $$

Commented by Dwaipayan Shikari last updated on 02/Apr/21

X^(210) _(81) →^(−α) H_(79) ^(206)   H_(79) ^(206) →^(−β_0 ) Y_(80) ^(206)   A=206

$$\underset{\mathrm{81}} {{X}}^{\mathrm{210}} \overset{−\alpha} {\rightarrow}{H}_{\mathrm{79}} ^{\mathrm{206}} \\ $$$${H}_{\mathrm{79}} ^{\mathrm{206}} \overset{−\beta_{\mathrm{0}} } {\rightarrow}{Y}_{\mathrm{80}} ^{\mathrm{206}} \:\:{A}=\mathrm{206} \\ $$

Commented by physicstutes last updated on 02/Apr/21

sir does this two decay not sum up  to two. its four they asked for.

$$\mathrm{sir}\:\mathrm{does}\:\mathrm{this}\:\mathrm{two}\:\mathrm{decay}\:\mathrm{not}\:\mathrm{sum}\:\mathrm{up} \\ $$$$\mathrm{to}\:\mathrm{two}.\:\mathrm{its}\:\mathrm{four}\:\mathrm{they}\:\mathrm{asked}\:\mathrm{for}. \\ $$

Commented by Dwaipayan Shikari last updated on 02/Apr/21

Is there any γ decay sir?

$${Is}\:{there}\:{any}\:\gamma\:{decay}\:{sir}? \\ $$

Commented by physicstutes last updated on 02/Apr/21

no just alpha and beta

$$\mathrm{no}\:\mathrm{just}\:\mathrm{alpha}\:\mathrm{and}\:\mathrm{beta} \\ $$

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