Question:

If $^{}_{92}U^{206}$ emits 8 $\alpha$-particles and 6 $\beta$-particles, then the resulting nucleus is

Updated On: Jun 7, 2022
  • $^{}_{82}U^{206}$
  • $^{}_{82}Pb^{206}$
  • $^{}_{82}U^{210}$
  • $^{}_{82}U^{214}$
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The Correct Option is B

Solution and Explanation

After one $\alpha$-emission, the daughter nucleus reduces in mass number by 4 unit and in atomic number by 2 unit. In $\beta$-emission the atomic number of daughter nucleus increases by I unit. The reaction can be written as $^{}_{92}U^{238} \, \, \xrightarrow {- 8 \alpha} ^{}_{76}X^{206} \, \, \xrightarrow {- 6 \beta} \, \, ^{}_{82}Y^{206}$
Thus, the resulting nucleus is $^{}_{82}Y^{206}, \, ie , \, ^{}_{82}Pb^{206}$
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Concepts Used:

Nuclei

In the year 1911, Rutherford discovered the atomic nucleus along with his associates. It is already known that every atom is manufactured of positive charge and mass in the form of a nucleus that is concentrated at the center of the atom. More than 99.9% of the mass of an atom is located in the nucleus. Additionally, the size of the atom is of the order of 10-10 m and that of the nucleus is of the order of 10-15 m.

Read More: Nuclei

Following are the terms related to nucleus:

  1. Atomic Number
  2. Mass Number
  3. Nuclear Size
  4. Nuclear Density
  5. Atomic Mass Unit