Barium has a work function of 2.48 eV.
A) What is the maximum kinetic energy of electrons if the metal is illuminated by UV light of wavelength 335
nm ? (answer in eV)
B) What is their speed? Please include appropriate units.
Please show all work Thank you.
Max KE = hf - work function = hc/lamba - work function = 3.71-2.48 eV =1.2232 eV
KE = .5MV^2
V = sqrt(2KE/M) = 655940.9818 m/sec
A0energy=hc/wavelength
hc=1.23 eV*micro metre
energy=1.23*10^3/335=3.7ev
max kinetic energy=3.7-2.48=1.22eV
B)v=sqrt(2*kE/m)=65.49*10^4 m/s
A
E = Wo + KE
h*c/lamda = 2.48 eV + KE
6.626*10^-34*3*10^8/335*10^-9 = 2.48 eV + KE
5.93*10^-19 J = 2.48 eV + KE
3.7 eV = 2.48 eV + KE
KE = 3.7 - 2.48
= 1.22 eV
B) KE = 0.5*m*v^2
v = sqrt(2*KE/m)
= sqrt(2*1.22*1.6*10^-19/9.1*10^-31)
= 6.55*10^5 m/s
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