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A nucleus ZAX{Z}^{A}\text{X} emits 2 α particles and 1 β particle to form a 85222R{85}^{222}\text{R} nucleus. Find the atomic number and mass number of X.

Radioactivity

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Answer

85222R_{85}^{222}\text{R} before the emission of β particle, would have atomic number 84, and before 2 α emissions, atomic number would have been 88. Hence, atomic number (Z) = 88.

85222R_{85}^{222}\text{R} before the emission of β particle, would have mass number 222, and before 2 α emissions, mass number would have been 230. Hence, mass number (A) = 230.

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