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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 

a
5
b
6
c
8
d
12

detailed solution

Correct option is D

Let number of α and β particles emitted be x and y respectively.∴ z−2x+y=z⇒y=2x........1Again, 298−4x=274⇒x=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 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 


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