In \(\beta^-\) decay, a neutron in the nucleus decays into a proton, an electron (\(\beta^-\) particle), and an antineutrino. The electron is emitted from the nucleus, which results in the conversion of the neutron into a proton. The process can be written as: \[ n \rightarrow p + e^- + \overline{\nu}_e \] Thus, during \(\beta^-\) decay, a neutron in the nucleus decays emitting an electron, which is the characteristic feature of this type of radioactive decay.
The correct answer is (C) : A neutron in the nucleus decays emitting an electron.
In \( \beta^- \) decay, a neutron in the nucleus decays into a proton, emitting an electron (also called a beta particle) and an antineutrino. This is the fundamental process in \( \beta^- \) decay.
The reaction is as follows:
\(n \rightarrow p + e^- + \bar{\nu}_e\)
Where:
- \( n \) is the neutron,
- \( p \) is the proton,
- \( e^- \) is the emitted electron (beta particle),
- \( \bar{\nu}_e \) is the emitted antineutrino.
The key point here is that the neutron decays into a proton while emitting an electron (and an antineutrino) in the process. This distinguishes \( \beta^- \) decay from other processes like \( \beta^+ \) decay, where a proton decays into a neutron.
Therefore, the correct answer is (C) — A neutron in the nucleus decays emitting an electron.
Mass Defect and Energy Released in the Fission of \( ^{235}_{92}\text{U} \)
When a neutron collides with \( ^{235}_{92}\text{U} \), the nucleus gives \( ^{140}_{54}\text{Xe} \) and \( ^{94}_{38}\text{Sr} \) as fission products, and two neutrons are ejected. Calculate the mass defect and the energy released (in MeV) in the process.
Given: