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a.) A surface whose work function is = 4 eV is illuminated by a light whose wave

ID: 1455723 • Letter: A

Question

a.) A surface whose work function is = 4 eV is illuminated by a light whose wavelength is 85.3 nm.

What is the maximum kinetic energy of a photoelectron emitted from the surface? The speed of light is 3 × 108 m/s and Planck’s constant is 6.63 × 1034 J · s .

Answer in units of eV.

b.) The light intensity incident on a metallic surface produces photoeletrons with a maximum kinetic energy of 4.78 eV. If the light intensity is doubled, what is the maximum kinetic energy of the pho- toeletrons? Answer in units of eV.

Explanation / Answer

From the photo-electric equation:
hf - = max. KE

= 4 eV*(1.60E-19 C) = 6.40 E-19 J
f = (3.0 E8)/(85.3 E-9) = 3.516 E15 Hz

(6.63E-34)*((3.516 E15) - (6.40E-19) = 2.33 E-18 J

2.33 E-18 J/ 1.60 E-19 C ... = 14.56 eV

Please post the other question separately.