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Q.

In an α-decay the kinetic energy of a particle is 48 MeV and Q-value of the reaction is 50 MeV. The mass number of the mother nucleus is ____amu(Assume that daughter nucleus is in ground state)

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answer is 100.

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Detailed Solution

Q=KEα+KED∴Q=p22mα+p22mD=p22mα1+mαmD=KEα1+mαmD⇒50=481+mαmD⇒mαmD=124⇒mD=24mα=96amu∴ mp≈mD+mα=100amu
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