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## One way to probe the nucleus is to bombard a sample with high-energy electrons. To learn about the nuclear structures in a sample, the de Br

Question

One way to probe the nucleus is to bombard a sample with high-energy electrons. To learn about the nuclear structures in a sample, the de Broglie wavelengths of these electrons would need to be a little smaller than a nuclear radius. Estimate the energy of such electrons. Give your answer in electron-volts. (Assume that the wavelength used is about 9.0 fm.) eV

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Physics
3 years
2021-08-22T01:53:41+00:00
2021-08-22T01:53:41+00:00 1 Answers
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## Answers ( )

Answer:E = 1.38 x 10⁸ eV = 138 MeV

Explanation:The energy associated with the given wavelength can be found from the following formula:

where,

E = Energy of electron = ?

h = Plank’s Constant = 6.625 x 10⁻³⁴ J.s

c = Speed of Light = 3 x 10⁸ m/s

λ = wavelength = 9 fm = 9 x 10⁻¹⁵ m

Therefore,

E = 1.38 x 10⁸ eV = 138 MeV