Consider a Bohr model of the doubly ionized lithium. (a) Calculate the wavelength of the emitted photon when the electron transits from the excited levels n = 4 to n = 2 (b) compute the velocity of the electron in the n = 2 energy state. (c) What is the de Broglie wave length of the electron in the n = 2 energy state?

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Consider a Bohr model of doubly ionized lithium.
(a) Write an expression similar to En = -13.6 eV/n2 ? E2 = -13.6eV/22 = -3.40 eV for the energy levels of the sole remainingelectron. (Use the following as necessary: n.)
En = eV

(b) Find the energy corresponding to n = 4.

Your response differs from the correct answer by more than 10%.Double check your calculations. eV

(c) Find the energy corresponding to n = 1.

Your response differs from the correct answer by more than 10%.Double check your calculations. eV

(d) Calculate the energy of the photon emitted when the electrontransits from the fourth energy level to the first energy level.Express the answer both in electron volts and in joules.
eV
J

(e) Find the frequency and wavelength of the emitted photon.
Hz
nm

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For parts a) and b) consider a doubly ionized lithium atom (Li , ).2 3
+ = Z
(a) Find the radius and energy of the electron in the n = 3 stateof this atom.

(b) This electron now jumps to the n = 2 state. How the wavelengthof emitted photon in this transition does compares to a photonemitted by the same transition in hydrogen atom? (calculate theratio)

(c) The electron in a hydrogen atom with an energy of -0.544 eV isin a subshell with 18 states. Find the corresponding principalquantum number n.

(d) An electron drops from the L shell to the K shell and gives offan X-ray with a wavelength of 0.0205 nm. What is the atomic numberof this atom?

For parts A and B consider a doubly ionized lithium atom (Li^2+,Z=3)

a) Find the radius and energy of the electron in the n= 3 state ofthe atom

b) This electron now jumps to the n = 2 state. How does thewavelength of the emitted photon in this transition compare to aphoton emitted by the same transition in hydrogen atom? ( Calculateratio)

c)The electron in a hydrogen atom with an energy of -0.544 eV is ina subshell with 18 states. Find the corresponding principal quantumnumber, n.

d) An electron drops from the L shell to the K shell and gives offan Xray with a wavelenth of .0205 nm What is the atomic number ofthis atom?

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