Question
A nucleus at rest undergoes a decay emitting an a particle of de - Broglie wavelength if the mass of particle is , determine the total kinetic energy in the final state Hence , obratain the mass of the parent nucleus in amu (1 amu = 931.470 MeV//e^(2))
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Text solutionVerified
Answer: A::B::DSolution: Let the reaction be
Here
we know that
: .....(i)
Appling eq (i) for Y and a we get
Similarly
E = deltamc^(2):. delta m = (E)/(c^(2)) = (10^(-12))/((3 xx 10^(8)^(2)) kg 1.65 xx 10^(-27) kg = 1 amu\displaystyle
The mass of the parent X will be
Here
we know that
: .....(i)
Appling eq (i) for Y and a we get
Similarly
E = deltamc^(2):. delta m = (E)/(c^(2)) = (10^(-12))/((3 xx 10^(8)^(2)) kg 1.65 xx 10^(-27) kg = 1 amu
The mass of the parent X will be
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Question Text | A nucleus at rest undergoes a decay emitting an a particle of de - Broglie wavelength if the mass of particle is , determine the total kinetic energy in the final state Hence , obratain the mass of the parent nucleus in amu (1 amu = 931.470 MeV//e^(2)) |
Answer Type | Text solution:1 |
Upvotes | 150 |