Consider the following statements: Statement 1: If a parent nucleus with energy E1 undergoes β− decay to a daughter nucleus of energy E2, the emitted β− particles show a continuous range of energies, with the maximum (endpoint) equal to E1 − E2. Statement 2: In β− decay, conservation of bo

Question

Consider the following statements: Statement 1: If a parent nucleus with energy E1 undergoes β− decay to a daughter nucleus of energy E2, the emitted β− particles show a continuous range of energies, with the maximum (endpoint) equal to E1 − E2. Statement 2: In β− decay, conservation of both energy and momentum requires that at least three particles participate in the process.

Accepted Answer

Both Statement 1 and Statement 2 are true, but Statement 2 does not correctly explain Statement 1.. Statement 1 accurately describes the energy distribution of emitted β− particles, where the maximum energy corresponds to the difference between the parent and daughter nucleus energies. Statement 2 is also correct as it highlights the necessity of three particles (the emitted β− particle, an antineutrino, and the daughter nucleus) to conserve both energy and momentum during the decay process, but it does not provide a direct explanation for the energy distribution described in Statement 1.

Solution

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