Consider 10 pi electrons moving freely in a two dimensional rectangular box 6 Angstroms by 3 Angstroms. Draw an energy level diagram and determine the energy of the ground state. Calculate the wavelength when the light is absorbed from the ground state to the next highest energy level.

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Use the following prompt for questions 9-10: Gaseous calcium atoms absorb light at 423, 272, and 240 nm. After a photon of 272 nm is absorbed from the ground state, a photon of wavelength 672 nm is emitted. After absorption of a photon of 240 nm occurs from the ground state, a photon is emitted of wavelength 504 nm.

Question 9 : After the 504 nm photoemission occurs, what wavelength of light (in nm) would have to be emitted for an electron to return to the ground state? Construct an energy diagram to help.

Question 10 : What is the energy difference between the second highest and third highest states? Construct an energy diagram to help.

(a) A green laser pointer emits light with a wavelength of
532 nm. What is the frequency of this light? (b) What is the energy of one of these photons? (c) The laser pointer emits light because electrons in the material are excited (by a battery) from their ground state to an upper excited state. When the electrons return to the ground state, they lose the excess energy in the form of 532-nm photons. What is the energy gap between the ground state and excited state in the laser material?

c) The energy gap between ground state and excited state corresponds to the energy of the light emitted. As wavelength of emitted photons is 532 nm, energy gap is:

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According to Jablonski diagram, an electron in ground state can be excited when it absorbs light. When this same electron return to the ground state, it may emit light. Which statement for this electron is correct?

	A.	The wavelengtth of the emitted light is always equal to that absorbed by the same electron.
	B.	The energy of the emitted light is higher than that absorbed by the same electron.
	C.	The energy of the emitted light is always equal to that absorbed by the same electron.
	D.	The wavelength of the emitted light is longer than that absorbed by the same electron.
	E.	The wavelength of the emitted light is less than that absorbed by the same electron.

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Consider 10 pi electrons moving freely in a two dimensional rectangular box 6 Angstroms by 3 Angstroms. Draw an energy level diagram and determine the energy of the ground state. Calculate the wavelength when the light is absorbed from the ground state to the next highest energy level.

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