The energy spectrum of β -particles [ number N(E) as a function of β -energy E ] emitted from a radioactive source is (a) (b) (c) (d)

Answer: (c). E0EN(E)continuous, 0 to E0 In β decay the energy E₀ is shared among the electron, the antineutrino and the recoiling nucleus. So β -particles have a continuous range of energies from 0 up to the maximum E₀. N(E) rises from zero, peaks at a low energy and falls smoothly to zero at E₀. So the answer is (c).

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Radioactive Decays: Alpha, Beta, Gamma

The energy spectrum of $\beta$ -particles [ number $N(E)$ as a function of $\beta$ -energy $E$ ] emitted from a radioactive source is

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Answer: (c)

In $\beta$ decay the energy $E_0$ is shared among the electron, the antineutrino and the recoiling nucleus.
So $\beta$ -particles have a continuous range of energies from $0$ up to the maximum $E_0$ .
$N(E)$ rises from zero, peaks at a low energy and falls smoothly to zero at $E_0$ .
So the answer is (c).

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