Light with a 400nm wavelength is incident on a metallicsurface with a work funct

Question

Light with a 400nm wavelength is incident on a metallicsurface with a work function of 2eV. a) What is the maximum velocity of the ejectedphotoelectrons? b) What stopping potential is required for thesephotoelectrons? c) What is the cutoff wavelength for this system? d) What is the meaning of the cutoff wavelength?
Please show ALL your work (withnumbers and units), and I promise to ratelifesaver! Light with a 400nm wavelength is incident on a metallicsurface with a work function of 2eV. a) What is the maximum velocity of the ejectedphotoelectrons? b) What stopping potential is required for thesephotoelectrons? c) What is the cutoff wavelength for this system? d) What is the meaning of the cutoff wavelength?
Please show ALL your work (withnumbers and units), and I promise to ratelifesaver!

Explanation / Answer

   a) We know that           The maximum kinetic energy of the photo electrons is                  Kmax= (hc)/   -             The maximum velocity of the photo electrons are v ={2[(hc)/   - ]/m}    Here h =6.626*10-34Js    c =3*108 m/s             = 400*10-9m             = 2(1.6*10-19)J            m=9.11*10-31kg b) Stopping potential is required for these photoelectronsare              Vstop = (1/2mv2)/e c) The cutoff wavelength for this system is                   o = /(hc) Substitute the values.

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