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(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 1151)

Sagot :

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

What is electron energy?

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

[tex]E_{n} = \dfrac{n^2{h^{2} } }{8mL^{2} }[/tex]

As the energy is proportional to n².

[tex]\dfrac{E_{n+1} }{E_{n} } =(\dfrac{n+1}{n} )^{2}[/tex]

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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