Ncert Exercises & Solutions

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.

Hint: To detect nucleons, the wavelength of the electron should be less than the size of the nucleon.

Step 1: Find the wavelength of the electron.

Each particle (neutron and proton) present inside the nucleus is called a nucleon.

Let

λ

be the wavelength,

λ

=10^-15 m

To detect separate parts inside a nucleon, the electron must have a wavelength less than 10^-15 m.

Step 2: Find the energy of the electron.

We know that,

λ = \frac{h}{p} and KE = PE . . . . . . (i)

Energy = \frac{hc}{λ} . . . . . . . . . (ii)

From Eq . (i) and Eq . (ii),

Kinetic energy of electron = PE = \frac{hc}{λ} = \frac{6.6 \times 10^{- 34} \times 3 \times 10^{8}}{10^{- 15} \times 1.6 \times 10^{19}} eV

KE = 10^{9} eV

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