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.
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The density of the copper ($^{64}Cu$) nucleus is greater than that of the carbon ($^{12}C$) nucleus.
Reason (R): The nucleus of mass number A has a radius proportional to $A^{1/3}$.
In the light of the above statements, choose the most appropriate answer from the options given below:
Match the LIST-I with LIST-II
LIST-I (Type of decay in Radioactivity) | LIST-II (Reason for stability) | ||
---|---|---|---|
A. | Alpha decay | III. | Nucleus is mostly heavier than Pb (Z=82) |
B. | Beta negative decay | IV. | Nucleus has too many neutrons relative to the number of protons |
C. | Gamma decay | I. | Nucleus has excess energy in an excited state |
D. | Positron Emission | II. | Nucleus has too many protons relative to the number of neutrons |
Choose the correct answer from the options given below: