what s the work function of the metal if the light of wavelength 4000A generates photoelectron of velocity 6x10^5 from it
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20
Answer:
Mass of electron is = 9.1 * 10^-31 kg
velocity = 6 * 10^5 m/s
ke = 12/mv^2
=1/2 * 9.1 * 10^-31 * (6 * 10 ^5)^2
= 162 * 10^-21 j
the energy of photo electron is
12400/4000
=3.1 eV
E = Ф +ke
3.1 = Ф + 1
Ф = 2.1 eV
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Answered by
3
The work function of the metal if the light of wavelength 4000A generates photo electron of velocity 6x10^5 m/s from it is 2.1 eV.
- The energy of light is equal to hc/λ, this can be written as 12420/λ(in A)
- So, substituting the values the energy of light is equal to 3.1 eV.
- The kinetic energy of the photo electron produce is equal to mv²/2e eV.substituting the values we get , kinetic energy of the photo electron produced to be 1eV.
- The work function of the metal is the difference between the total energy and the kinetic energy. hence, it is equal to 2.1 eV.
- h=6.62*10^-34 Js; c= 3*10^8 m/s; m=9.1*10^-31 kg; e=1.6*10^-19 C.
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