ATAR Notes: Forum
VCE Stuff => VCE Science => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Physics => Topic started by: tha boss on September 11, 2011, 09:29:04 pm
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Scott is working in the new synchrotron and is currently bombarding a material of work function 3.2eV with X-rays of wavelength 0.3nm. an electron is ejected from the material with kinetic energy 27eV.
The wavelength of the scattered photon is closest to:
a) 3.5nm
b) 0.3nm
c) 0.5nm
d) 3.2nm
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Initial energy of photon = hc/wavelength = 6.63 x 10^-16J
Work function in joules = 5.12 x 10^-19
Kinetic energy of electron in joules = 4.32 x 10^-18
Initial energy of photon = final energy of photon + kinetic energy of electron + energy needed to remove electron (i.e. work function)
Therefore the energy of the scattered photon = the intial photon energy - the kinetic energy of the electron - the energy needed to remove the electron
i.e. E (scattered photon) = 6.63 x 10^-16 - 5.12 x 10^-19 - 4.32 x 10^-18 = 6.58 x 10^-16J
Wavelength of scattered photon = hc/E = 3.022 x 10^-10 = 0.3022 x 10^-9 which is closest to answer B, although of course answer B is rounded, because if it were exactly 0.3 then there would be no change in wavelength and that isn't possible here. Hope this helps.
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Initial energy of photon = hc/wavelength = 6.63 x 10^-16J
Work function in joules = 5.12 x 10^-19
Kinetic energy of electron in joules = 4.32 x 10^-18
Initial energy of photon = final energy of photon + kinetic energy of electron + energy needed to remove electron (i.e. work function)
Therefore the energy of the scattered photon = the intial photon energy - the kinetic energy of the electron - the energy needed to remove the electron
i.e. E (scattered photon) = 6.63 x 10^-16 - 5.12 x 10^-19 - 4.32 x 10^-18 = 6.58 x 10^-16J
Wavelength of scattered photon = hc/E = 3.022 x 10^-10 = 0.3022 x 10^-9 which is closest to answer B, although of course answer B is rounded, because if it were exactly 0.3 then there would be no change in wavelength and that isn't possible here. Hope this helps.
This is great, but I must ask - Why do you bother converting to Joules? I think you would have saved time working in eV since plancks constant in eV is 4.14*10-14
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Initial energy of photon = hc/wavelength = 6.63 x 10^-16J
Work function in joules = 5.12 x 10^-19
Kinetic energy of electron in joules = 4.32 x 10^-18
Initial energy of photon = final energy of photon + kinetic energy of electron + energy needed to remove electron (i.e. work function)
Therefore the energy of the scattered photon = the intial photon energy - the kinetic energy of the electron - the energy needed to remove the electron
i.e. E (scattered photon) = 6.63 x 10^-16 - 5.12 x 10^-19 - 4.32 x 10^-18 = 6.58 x 10^-16J
Wavelength of scattered photon = hc/E = 3.022 x 10^-10 = 0.3022 x 10^-9 which is closest to answer B, although of course answer B is rounded, because if it were exactly 0.3 then there would be no change in wavelength and that isn't possible here. Hope this helps.
This is great, but I must ask - Why do you bother converting to Joules? I think you would have saved time working in eV since plancks constant in eV is 4.14*10-14
Good point! I didn't know the value for planck's constant in terms of eV, but that's a thing I should learn!
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Good point! I didn't know the value for planck's constant in terms of eV, but that's a thing I should learn!
Don't worry, it is on the formula sheet.
thatricksta made a small typo, it's
not ^-14