(a) In decay of, say, a nucleus, show that the nucleus

Chapter 30, Problem 85

(choose chapter or problem)

(a) In \(\alpha\) decay of, say, a \({ }_{88}^{226}Ra\) nucleus, show that the nucleus carries away a fraction \(1 /\left(1+\frac{1}{4} A_{\mathrm{D}}\right)\) of the total energy available, where \(A_{\mathrm{D}}\) is the mass number of the daughter nucleus. [Hint: Use conservation of momentum as well as conservation of energy.] (b) Approximately what percentage of the energy available is thus carried off by the \(\alpha\) particle when \({ }_{88}^{226}Ra\) decays?

Equation Transcription:

Text Transcription:

alpha

{ }_{88}^{226}Ra

1/(1 + frac{1}{4} A_D)

A_D

alpha

{ }_{88}^{226}Ra

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