- #1
yoshima
- 4
- 0
Hi, I've been trying to figure these two questions out but they haven't beeen working.
1. A hydrogen atom is in its fifth excited state. The atom emits a 1090 nm wavelength photon. Determine the maximum possible orbital angular momentum of the electron after emission. Express your answer as multiples of hbar. (ans. 2.583e-34)
my procedure... know that
angular momentum(L) = sqaure root(l(l+1) * 1.0545e-34
since n=5. than l=4 sub that into the equation and get the anwser. but this is not working.
2. A certain electron microscope accelerates electrons to an energy of 60.5 keV. Calculate the wavelength of these electrons. If one can resolve two points separated by at least 55.0 wavelengths, what is the smallest separation (or the minimum-sized object) that can be resolved with this microscope?
my procedure: E=h*c/lambda solve for lambda and that would be the anwser. I converted the units to the appropritate ones and still this does not work. I also tried E=.5*m*v^2 solving for v and than solving for lambda that does not work either. for the second part you multiply 55 wavelengths with the lambda calculated. But this can not be done until lambda is right.
Any help would be great. Thanks
1. A hydrogen atom is in its fifth excited state. The atom emits a 1090 nm wavelength photon. Determine the maximum possible orbital angular momentum of the electron after emission. Express your answer as multiples of hbar. (ans. 2.583e-34)
my procedure... know that
angular momentum(L) = sqaure root(l(l+1) * 1.0545e-34
since n=5. than l=4 sub that into the equation and get the anwser. but this is not working.
2. A certain electron microscope accelerates electrons to an energy of 60.5 keV. Calculate the wavelength of these electrons. If one can resolve two points separated by at least 55.0 wavelengths, what is the smallest separation (or the minimum-sized object) that can be resolved with this microscope?
my procedure: E=h*c/lambda solve for lambda and that would be the anwser. I converted the units to the appropritate ones and still this does not work. I also tried E=.5*m*v^2 solving for v and than solving for lambda that does not work either. for the second part you multiply 55 wavelengths with the lambda calculated. But this can not be done until lambda is right.
Any help would be great. Thanks