Carbon-14 decays into nitrogen-14 by emitting a – particle.Which statement explains why the – particles are emitted with a range of different kineticenergies?A The carbon-14 nuclei have slightly different masses.B The emitted – particles have a range of different masses.C The energy released in the decay process is different for each carbon-14 nucleus thatdecays.D The energy released in the decay process is shared between the nitrogen-14 nucleus, a– particle and an antineutrino.

The correct answer is D. The energy released in the decay process is shared between the nitrogen-14 nucleus, a β– particle and an antineutrino.

Here's why:

In the beta decay process, a neutron in the carbon-14 nucleus is transformed into a proton, an electron (the beta particle), and an electron antineutrino. The energy released during this decay is not fixed, but rather, it is shared among the three products.

The nitrogen-14 nucleus will recoil with some kinetic energy, the beta particle will carry away some kinetic energy, and the antineutrino will also carry away some energy. The distribution of this energy is not always the same in every decay event, which leads to beta particles being emitted with a range of different kinetic energies.

So, the variation in kinetic energy of the beta particles is not due to differences in the mass of the carbon-14 nuclei (option A), nor due to the beta particles having different masses (option B), and it's not because the energy released in the decay process is different for each carbon-14 nucleus that decays (option C). It's because the energy released is shared between the nitrogen-14 nucleus, the beta particle, and the antineutrino (option D).