1)The mass of a bottom quark is 4.20Gev/c^2 and was found by colliding a beam of
ID: 2111138 • Letter: 1
Question
1)The mass of a bottom quark is 4.20Gev/c^2 and was found by colliding a beam of protons with a cloud of stationary protons.
a) What was the energy of the proton beam?
b) How fast were they moving?
(Hint: The problem is relativistic. Use the center of mass frame.)
mp=938.2 Mev/c^2
2)During an experiment you determine the cat off wavelength of a cathod ray tube to be λ0. You repeat the experiment using light with a wavelength of 1/2 λ0.
What are the stopping voltage(potential) and electron velocity in terms of λ0 for second experiment?
3) What are the first 4 wavelength of hte following series for the hydrogen atom?
Lyman
Balmer
Paschen
(If you wanted to measure these wavelength what voltage would have to be supplied to your cathode ray tube containing hydrogen gass)
Explanation / Answer
2) Stopping voltage = energy/charge.... energy = hc/I/2 - hc/I = hc/I.... Voltage = hc/I /q = 1.24*10^-6 /I..... energy of electron = hc/I.... 1/2 mv^2 = hc/I.... v = 660/sqrt(I).... (3)First four wavelenghts of lyman series are 121.6 nm, 102.6nm, 97.3nm and 95.0 nm.... First four wavelenghts of balmer series are 656.3nm, 486.1nm, 434.1nm and 410.2 nm .... First four wavelenghts of paschen series are 1870nm, 1280nm, 1090nm and 1005 nm....
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