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Chapter 31: Q7 PE (page 1149)

What is the radius of an\({\rm{\alpha }}\) particle?

Short Answer

Expert verified

The radius of the \({\rm{\alpha }}\) particle is obtained as: \(1.905 \times {10^{ - 15}}\,{\rm{m}}\).

Step by step solution

01

Define Radioactivity

The spontaneous emission of radiation in the form of particles or high-energy photons as a result of a nuclear process is known as radioactivity.

02

Evaluating the radius

The atomic mass number of the \({\rm{\alpha }}\) particle is:

\(\;A = 4\)

The radius of\({\rm{\alpha }}\)particle is:

\({R_o} = 1.2 \times {10^{ - 15}}\,{\rm{m}}\)

Using the following relation to obtain the value of radius as:

\(\begin{align}R &= \;{R_o}{A^{\frac{1}{3}}}\\ &= 1.2 \times {10^{ - 15}}\,m \times {(4)^{\frac{1}{3}}}\\ &= {\rm{ }}1.905 \times {10^{ - 15}}\,m\end{align}\)

Therefore, the radius is: \(1.905 \times {10^{ - 15}}\,{\rm{m}}\).

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Most popular questions from this chapter

Cow鈥檚 milk produced near nuclear reactors can be tested for as little as \(1.00\,{\rm{pCi}}\) of \({}^{{\rm{131}}}{\rm{I}}\) per litre, to check for possible reactor leakage. What mass of\({}^{{\rm{131}}}{\rm{I}}\) has this activity?

Star Trek fans have often heard the term 鈥渁ntimatter drive.鈥� Describe how you could use a magnetic field to trap antimatter, such as produced by nuclear decay, and later combine it with matter to produce energy. Be specific about the type of antimatter, the need for vacuum storage, and the fraction of matter converted into energy.
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What characteristics of radioactivity show it to be nuclear in origin and not atomic?

: 尾- decay producing90Y. The parent nuclide is a major waste product of reactors and has chemistry similar to calcium, so that it is concentrated in bones if ingested90Yis also radioactive.
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