An electron is in an infinite square well (a box)that is 8.9 nm wide.What is the ground state energy of the electron? (h = 6.626 × 10^-34 J ∙ s,m_el = 9.11 × 10^-31 kg,1 eV = 1.60 × 10^-1⁹) A)0.0048 eV B)0.0057 eV C)0.0066 eV D)0.0076 eV E)0.0085 eV

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Quizplus · Accepted Answer

The ground state energy of an electron in an infinite square well is given by:$$E_1 = \frac{h^2}{8mL^2}$$where:* h is Planck's constant* m is the mass of the electron* L is the width of the wellPlugging in the given values, we get:$$E_1 = \frac{(6.626 	imes 10^{-34} J \cdot s)^2}{8(9.11 	imes 10^{-31} kg)(8.9 	imes 10^{-9} m)^2}$$$$E_1 = 0.0048 eV$$Therefore, the correct answer is A.

An Electron Is in an Infinite Square Well (A Box)that