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The length of a box in which the minimum energy of an electron is 1. 1×[tex]10^{-18}[/tex] j will be 74 * [tex]10^{-10}[/tex] m
Energy levels (also called electron shells) are fixed distances from the nucleus of an atom where electrons may be found. As you go farther from the nucleus, electrons at higher energy levels have more energy
Energy levels (also called electron shells) are fixed distances from the nucleus of an atom where electrons may be found. Electrons are tiny, negatively charged particles in an atom that move around the positive nucleus at the center. Energy levels are a little like the steps of a staircase.
One electron volt is the energy that an electron gains when it travels through a potential difference of one volt (1 eV = 1.6 x 10-19 Joules). Electrons in a hydrogen atom must be in one of the allowed energy levels. If an electron is in the first energy level, it must have exactly -13.6 eV of energy.
Energy of an electron in nth shell can be calculated as
E (n) = [tex]\frac{n^{2} h^{2} }{8ml^{2} }[/tex]
energy will be minimum in 1st shell
putting n=1
E (n) = [tex](1)^{2}[/tex] * [tex](6.63 * 10^{-34}) ^{2}[/tex] / 8 * 9.1 * [tex]10^{-31}[/tex] * [tex]l^{2}[/tex]
1.1 * [tex]10^{-18}[/tex] = [tex](1)^{2}[/tex] * [tex](6.63 * 10^{-34}) ^{2}[/tex] / 8 * 9.1 * [tex]10^{-31}[/tex] * [tex]l^{2}[/tex]
length(l) = 74 * [tex]10^{-10}[/tex] m
To learn more about Energy of an electron here
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