A) \[_{81}{{X}^{247}}\]
B) \[_{80}{{X}^{247}}\]
C) \[_{81}{{X}^{246}}\]
D) \[_{80}{{X}^{246}}\]
Correct Answer: A
Solution :
The complete nuclear reaction of the given transformation is \[_{Z}{{X}^{A}}{{\xrightarrow{{}}}_{76}}{{Y}^{235}}+\underset{\alpha -particle}{\mathop{{{3}_{Z}}H{{e}^{4}}}}\,+\underset{\beta -particle}{\mathop{_{-1}{{e}^{0}}}}\,\] \[+\underset{\gamma -particle}{\mathop{\gamma }}\,\] On comparing mass number, we get \[A=235+12+0\] \[=247\] On comparing atomic number, we get \[Z=76+6-1\] \[=81\] Thus, element X is \[_{81}{{X}^{247}}\].
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