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Q.

A radioactive nucleus undergoes a series of decays according to the sequence $A \overset{β}{\to} A_{1} \overset{α}{\to} A_{2} \overset{α}{\to} A_{3} .$ If the mass number and atomic number of $A_{3}$ are 172 and 69 respectively. what is the mass number and atomic number of A?

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a

180,72

b

180,74

c

176,72

d

170,70

answer is A.

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Detailed Solution

$A_{72}^{180} \overset{- 1 e^{0}}{\to} {A_{1}}_{73}^{180} \to_{2^{H e^{4}}}^{α} {A_{2}}_{71}^{176} \to_{2^{H e^{4}}}^{α} {A_{3}}_{69}^{172}$

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A radioactive nucleus undergoes a series of decays according to the sequence A→βA1→αA2→αA3. If the mass number and atomic number of A3 are 172 and 69 respectively. what is the mass number and atomic number of A?