Light with a wavelength of 390 nm shines on a metal surface, which emits electrons. The stopping potential is measured to be 0.888 V . Part A What is the maximum speed of emitted electrons? Part B Calculate the work function.

Respuesta :

Maximum speed of emitted electrons is [tex]5.09 * 10^{-19} m/s[/tex] and work function is  [tex]1.4 * 10^{-19} eV[/tex].

We know that maximum speed of emitted electrons is given by: [tex]\frac{hc}{\alpha }[/tex]

where, h = planck's constant = [tex]6.62 * 10^{-34}[/tex]

          c = speed of light = [tex]3 * 10^{8} m/s[/tex]

          [tex]\alpha[/tex] = wavelength = 390 nm = [tex]3.9 * 10^{-9} m[/tex]

Putting these values in above equation we get E = [tex]5.09 * 10^{-19} m/s[/tex]

Also work function is given by:  W = eV

where, W = work function

           e = charge of electron = [tex]1.6 * 10^{-19} C[/tex]

           V = stopping potential = 0.888v

Putting these values in above equation we get W =  eV = [tex]1.4 * 10^{-19} eV[/tex]

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