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alexlee33
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If you can help me on even one of these questions, it's greatly appreciated!
Use the following info to answer next 4 questions:
The vapor of Element X produces an emission spectrum that consists of wavelengths of 400 nm, 550 nm, and 680 nm.
1) If an unexcited sample of element x is bombarded w/ elections that have a kinetic energy of 2.00 eV, then determine the amnt of kinetic energy the e- wouild have as the exit the sample.
2) Explain how this observation verifies Bohr's model of the atom.
3) Determine the momentum of an emitted 570 nm light wave.
4) Decribe what would happen to the direction and wavelength of a 570 nm light wave after it collides with:
a) the nucleus of a large atom
b) an electron
------- new Q -------
5) Calculate the wavelength of an e- in the 4th energy level of a hydrogen atom.
See below.
And also E2 = E1 / n2
E1 = -2.18 x 10^-18 OR -13.6 eV
E = hc / (wavelength)
h= 6.63 x 10^-34
There may be more; I'm not sure which to use! Please help!
1) This is one I have no idea... I've tried different things but keep getting the wrong answer, I believe.
I tried finding E2, and I assumed the energy level # is 2 because it's in the visible light spectrum.
So I used E2 = E1/n2, and then I subtracted E1 from E2, which gives me the answer to how much energy the atom can absorb. Then I tried to subtract that answer from the enegry given to me in the question, but I'm in doubt that this is correct.
2) Bohr states that an atom is a nucleus surrounded by e- moving in circular orbits and that energy levels are quantized. This expt (Frank-Hertz) proves that e- truly receive energy in discrete amounts, and energy need is based on energy levels.
3) p = h / (wavelength)
p = (6.63 x 10^-34) / (570 x 10^-9)
FINAL ANSWER: p = 1.16 x 10^-27 kg(m/s)
4 a) Bounce back?? What happens to the wavelength? I'm stumped.
4 b) I have no idea.
5) En = E1/n^2
En = -2.18 x 10^-18 / 4^2 = -1.3325 x 10^-19
E = hc / (wavelength)
(wavelength) = hc / E = ((6.63 x 10^-34)(3x10^8)) / (-1.3625 x 10^-19)
FINAL ANSWER: -1.46 x 10^-6
Homework Statement
Use the following info to answer next 4 questions:
The vapor of Element X produces an emission spectrum that consists of wavelengths of 400 nm, 550 nm, and 680 nm.
1) If an unexcited sample of element x is bombarded w/ elections that have a kinetic energy of 2.00 eV, then determine the amnt of kinetic energy the e- wouild have as the exit the sample.
2) Explain how this observation verifies Bohr's model of the atom.
3) Determine the momentum of an emitted 570 nm light wave.
4) Decribe what would happen to the direction and wavelength of a 570 nm light wave after it collides with:
a) the nucleus of a large atom
b) an electron
------- new Q -------
5) Calculate the wavelength of an e- in the 4th energy level of a hydrogen atom.
Homework Equations
See below.
And also E2 = E1 / n2
E1 = -2.18 x 10^-18 OR -13.6 eV
E = hc / (wavelength)
h= 6.63 x 10^-34
There may be more; I'm not sure which to use! Please help!
The Attempt at a Solution
1) This is one I have no idea... I've tried different things but keep getting the wrong answer, I believe.
I tried finding E2, and I assumed the energy level # is 2 because it's in the visible light spectrum.
So I used E2 = E1/n2, and then I subtracted E1 from E2, which gives me the answer to how much energy the atom can absorb. Then I tried to subtract that answer from the enegry given to me in the question, but I'm in doubt that this is correct.
2) Bohr states that an atom is a nucleus surrounded by e- moving in circular orbits and that energy levels are quantized. This expt (Frank-Hertz) proves that e- truly receive energy in discrete amounts, and energy need is based on energy levels.
3) p = h / (wavelength)
p = (6.63 x 10^-34) / (570 x 10^-9)
FINAL ANSWER: p = 1.16 x 10^-27 kg(m/s)
4 a) Bounce back?? What happens to the wavelength? I'm stumped.
4 b) I have no idea.
5) En = E1/n^2
En = -2.18 x 10^-18 / 4^2 = -1.3325 x 10^-19
E = hc / (wavelength)
(wavelength) = hc / E = ((6.63 x 10^-34)(3x10^8)) / (-1.3625 x 10^-19)
FINAL ANSWER: -1.46 x 10^-6
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