Question

Why is energy variations of the electron emitted in β–decay continuous?

Answer 1

β decay is not continuous, but the kinetic energy spectrum of the emitted electrons is continuous...

β-decay is a type of radioactive decay in which an electron is emitted from an atomic nucleus along with an electron antineutrino .

{see the attachment (no.1)}

using symbols we can write the β decay of carbon-14 as

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Since the electrons are emitted as a stream of discrete particles, β decay is not continuous..

Answer 2

hiii friend here is your answer

β⁻ decay is a type of radioactive decay in which an electron is emitted from an atomic nucleus along with an electron antineutrino. Since the electrons are emitted as a stream of discrete particles, β decay is not continuous. ... Emitted beta particles have a continuous kinetic energy spectrum.

hope it helps you