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An element X of an atomic number 88 and mass nu... - JAMB Physics 1993 Question

An element X of an atomic number 88 and mass number 226 decays to form an element Z by emitting two beta particles and an alpha particle. Z is represented by
A
\(^{222}_{82}Z\)
B
\(^{222}_{88}Z\)
C
\(^{226}_{86}Z\)
D
\(^{226}_{80}Z\)
correct option: b

(^{226}{88}X) (\to) ((^{0}{-1}e)) + (^{4}{2}\alpha) + (^{b}{a}X)

a + 2 + (-2) = 88 a (\Rightarrow) a = 88

b + 4 + 0 = 266 b (\Rightarrow) b = 222

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