An element X of an atomic number 88 and mass number 226 decays to form…

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 Answer: Option B
Explanation

(^{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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