1. In the Bohr model for a hydrogen atom, an electron revolving in the third excited state. If the electron drops into second state, calculate the following: a. The total energy of the electron in the third excited state. b. The transition energy. c. The kinetic energy of electron in first excited state. DHA

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Tutorial Sheet 01
1. In the Bohr model for a hydrogen atom, an electron revolving in the third excited
state. If the electron drops into second state, calculate the following:
a. The total energy of the electron in the third excited state.
b. The transition energy.
c. The kinetic energy of electron in first excited state.
2. Prove that the total energy of electron is measured in units of jou
CREDHA
3. Hydrogen atom electron moves from third orbit to the first orbit, calculate the wave
number of the radiated light. (Repeat using Rydberg equation).
4. Calculate the radius of orbit of an electron moving around a hydrogen atom with an
energy of -13.6ev. If a photon of energy 10.2ev hits electron and losses all its energy to
the electron, calculate the new radius of orbit. What frequency of light will be emitted
if the above electron changes it orbital radius to its old value?
5. An electron at rest
light of wavelength 4.96*10-7m. Calculate the velocity of
the electron.
6. An single electron orbits around a nucleus ofcharge (+Ze). It requires 47.2ev to excite
the electron from third Bohr orbit to the second orbit, calculate:
a. The value of Z.
b. The wavelength of electromagnetic radiation required to transferred the electron from
fourth to third orbit.
c. The radius of the first excited orbit.
Transcribed Image Text:Tutorial Sheet 01 1. In the Bohr model for a hydrogen atom, an electron revolving in the third excited state. If the electron drops into second state, calculate the following: a. The total energy of the electron in the third excited state. b. The transition energy. c. The kinetic energy of electron in first excited state. 2. Prove that the total energy of electron is measured in units of jou CREDHA 3. Hydrogen atom electron moves from third orbit to the first orbit, calculate the wave number of the radiated light. (Repeat using Rydberg equation). 4. Calculate the radius of orbit of an electron moving around a hydrogen atom with an energy of -13.6ev. If a photon of energy 10.2ev hits electron and losses all its energy to the electron, calculate the new radius of orbit. What frequency of light will be emitted if the above electron changes it orbital radius to its old value? 5. An electron at rest light of wavelength 4.96*10-7m. Calculate the velocity of the electron. 6. An single electron orbits around a nucleus ofcharge (+Ze). It requires 47.2ev to excite the electron from third Bohr orbit to the second orbit, calculate: a. The value of Z. b. The wavelength of electromagnetic radiation required to transferred the electron from fourth to third orbit. c. The radius of the first excited orbit.
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