\({ }_{6} \mathrm{C}^{12}\) absorbs an energetic neutron and emits a \(\beta\) Particle. The resulting nucleus is (A) \({ }_{7} \mathrm{~N}^{13}\) (B) \({ }_{7} \mathrm{~N}^{14}\) (C) \({ }_{6} \mathrm{C}^{13}\) (D) \({ }_{6} \mathrm{C}^{12}\)

Short Answer

Expert verified
The resulting nucleus after the absorption of a neutron and emission of a beta particle is \({ }_{7} \mathrm{N}^{13}\). The correct answer is option (A).

Step by step solution

01

Identify the initial nucleus

The initial nucleus given in the problem is Carbon-12, which can be written as \({ }_{6} \mathrm{C}^{12}\). This means that it has 6 protons and 6 neutrons (12-6=6).
02

Absorption of a neutron

When the Carbon-12 nucleus absorbs a neutron, its neutron count increases by 1. So, the new nucleus will have 6 protons and 7 neutrons, making it Carbon-13 (\({ }_{6} \mathrm{C}^{13}\)).
03

Emission of a beta particle

A beta particle is an electron that is emitted during a beta decay process, in which a neutron changes into a proton. In this reaction, one of the 7 neutrons will change into a proton, so the resulting nucleus will have 7 protons and 6 neutrons (7+6=13).
04

Identify the final nucleus

The final nucleus will have 7 protons and 6 neutrons, which corresponds to Nitrogen-13. Hence, the resulting nucleus after the absorption of a neutron and emission of a beta particle is \({ }_{7} \mathrm{N}^{13}\). So, the correct answer is option (A) \({ }_{7} \mathrm{~N}^{13}\).

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Most popular questions from this chapter

In gamma ray emission form a nucleus (A) there is no change in the proton-number and neutron number (B) Both the number are changes (C) only Proton number change (D) only neutron number change

Match column I and II and chose correct Answer form the given below. (a) Nuclear fusion (p) converts some matter into energy (b) Nuclear fission (q) generally Possible for nuclei with low atomic number (c) \(\beta\) decay (r) generally Possible for nuclei with high atomic number (d) Exothermic nuclear (s) Essentially Proceeds by weak reaction nuclear force(c) (A) $\mathrm{a} \rightarrow \mathrm{p}, \mathrm{b} \rightarrow \mathrm{r}, \mathrm{c} \rightarrow \mathrm{s}, \mathrm{d} \rightarrow \mathrm{q}$ (B) $\mathrm{a} \rightarrow \mathrm{q}, \mathrm{b} \rightarrow \mathrm{r}, \mathrm{c} \rightarrow \mathrm{p}, \mathrm{d} \rightarrow \mathrm{s}$ (C) $\mathrm{a} \rightarrow \mathrm{q}, \mathrm{b} \rightarrow \mathrm{r}, \mathrm{c} \rightarrow \mathrm{s}, \mathrm{d} \rightarrow \mathrm{p}$ (D) $\mathrm{a} \rightarrow \mathrm{r}, \mathrm{b} \rightarrow \mathrm{q}, \mathrm{c} \rightarrow \mathrm{p}, \mathrm{d} \rightarrow \mathrm{s}$

Radio carbon dating is done by estimating in the specimen (A) the amount of ordinary carbon still present (B) the ratio of the amounts of \({ }^{14}{ }_{6} \mathrm{C}\) to ${ }_{6} \mathrm{C}^{12}$ (C) the amount of radio carbon still Present (D) None of these

A Free neutron decays into a Proton, an electron and (A) \(\mathrm{v}\) (B) \(\underline{\mathrm{V}}\) (C) \(\beta\) (D) \(\alpha\)

The ratio of atomic volume of nuclear volume is of the order of (A) \(10^{-15}\) (B) \(10^{-10}\) (C) \(10^{15}\) (D) \(10^{-10}\)

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