Given that an electron needs at least 4 Times 10^-18 J of energy to escape from

Question

Given that an electron needs at least 4 Times 10^-18 J of energy to escape from silicon, if yellow light shines on a piece of silicon, can an electron gain enough energy to escape (yellow light has a wavelength of 570x10 m and a frequency of 5.26 Times 10^14 sec^-1)? Explain why or why not. Please answer the following questions: In equation form, write the time independent Schrodinger wave equation. When the Schrodinger wave equation is solved, what information can be determined about a particle? Explain why the Schrodinger equation is important and why it is used. For an electron is contained in a one dimensional potential well, please answer the following questions: If the electron has an energy of 50eV while in the first excited state, what is the size of the potential well? Does the electron emitted or absorbed energy when it goes from the third excited state to the first excited state? What is the value of this energy? For an electron in a one dimensional region of length 2.5A, if the electrons in the first excited energy state, calculate the probability of finding this particle between 0 and 0.25A? Show all of your work.

Explanation / Answer

An electron needs at least 4x10-18J to escape from silicon.
What is the energy of a photon of yellow light?

Planck equation:
E = hv
E, photon energy
h, Planck constant (6.626x10-34 J/s)
v, frecuency of radiation (for yellow light, 5.26x1014 s-1)

E = (6.626x10-34 J/s) . (5.26x1014 s-1)
E = 3.5x10-19 J

The electron does not escape because the photon energy is lower than the energy required for an electron to escape from silicon.

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