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Karnataka Board PUCPUC Science 2nd PUC Class 12

Are the nucleons fundamental particles, or do they consist of still smaller parts? One way to find out is to probe a nucleon just as Rutherford probed an atom. - Physics

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Question

Are the nucleons fundamental particles, or do they consist of still smaller parts? One way to find out is to probe a nucleon just as Rutherford probed an atom. What should be the kinetic energy of an electron for it to be able to probe a nucleon? Assume the diameter of a nucleon to be approximately 10–15 m.

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Solution

A nucleon is one of the particles that make up the atomic nucleus. Each atomic nucleus consists of one or more nucleons, and each atom in turn consists of a cluster of nucleons surrounded by one or more electrons. There are two known kinds of nucleon: neutron and proton. The mass number of a given atomic isotope is identical to its number of nucleons. Thus the term nucleon number may be used in place of the more common terms mass number or atomic mass number.

For resolving two objects separated by distance d, the wavelength A of the proving signal must be less than d. Therefore, to detect separate parts inside a nucleon, the electron must have a wavelength less than 10–15 m.

We know that, `λ = h/p` and KE = PE  ......(i)

Energy, E = `(hc)/λ` ......(ii)

From equation (i) and equation (ii),

Kinetic energy of electron

KE = PE = `(hc)/λ - (6.6 xx 10^-34 xx 3 xx 10^8)/(10^-15 xx 1.6 xx 10^-19)` eV

KE = 109 eV

Important point: Until the 1960s, nucleons were thought to be elementary particles, each of which would not then have been made up of smaller parts. Now they are known to be composite particles, made of three quarks bound together by the so-called strong interaction. The interaction between two or more nucleons is called intemucleon interactions or nuclear force, which is also ultimately caused by the strong interaction. (Before the discovery of quarks, the term “strong interaction” referred to just intemucleon interactions.)

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Chapter 13: Nuclei - Exercises [Page 84]

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NCERT Exemplar Physics [English] Class 12
Chapter 13 Nuclei
Exercises | Q 13.19 | Page 84

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