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 is 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