ahmadidris1995
ahmadidris1995 ahmadidris1995
  • 22-02-2021
  • Physics
contestada

Find the least frequency of incident light that will knock electrons out of the surface of a metal with a work function of 3eV.​

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mberisso
mberisso mberisso
  • 22-02-2021

Answer:

The frequency must be: [tex]725\,\,10^{12} \,Hz[/tex]

Explanation:

If the work function of the metal ([tex]\phi[/tex]) is 3 eV, then we can use the formula for the kinetic energy of an ejected electron:

[tex]KE= h*f-\phi[/tex]

considering for the minimum KE = 0, and using the Plank constant h in eV s as: 4.14 * 10 ^(-15) eV s, to solve for the frequency:

[tex]h*f=\phi\\4.14*10^{-15} * f = 3\\f=3*10^{15} /4.14\,\,\frac{1}{s} \\f=725\,10^{12} \,Hz[/tex]

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