(figure 1)shows the wave function of an electron in a rigid box. The electron energy is 14. 5 ev. You may want to review (page 1

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sukhopar [10] · Answer 1 · 2023-07-01T02:58:02+03:00

The energy of an electron in a rigid box when it is in the next higher state is 19.6 eV

<h3>What is electron energy?</h3>

The energy carried by the electron when jumping from one energy level to another is called as electron energy.

Energy in the nth level for a rigid box of length L and mass of electron m is represented as

$E_{n} = \dfrac{n^2{h^{2} } }{8mL^{2} }$

As the energy is proportional to n².

$\dfrac{E_{n+1} }{E_{n} } =(\dfrac{n+1}{n} )^{2}$

Substitute the value 3 for n in the above equation. So, we have the energy of an electron is

E₄ = 19.6 eV

Thus, energy of electron in a rigid box when it is in the next higher state is 19.6 eV.

Learn more about electron energy.

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