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A radio active nucleus emits both α and β+ particles. Initial mass number of the nucleus is 260. After emission of  α and β+ particles, the final mass number of the nucleus is 236 and the nucleus becomes an isotone. Then number of emitted β+ particles is 

a
8
b
12
c
7
d
5

detailed solution

Correct option is B

Let number of emitted α and β particles be x and y respectively. ∴ A−4x−Z−2x−y=A−Z⇒y=2x..........1and A−4x=A1⇒x=A−A14⇒x=260−2364=6∴ y=2×6=12

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A radio active nucleus emits both α and β particles. Initial mass number of the nucleus is 298. After emission of  α and β particles, the nucleus becomes an isotope and mass number becomes 274. Then number of β particles emitted is 


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