Question

A particular metal illuminated by a monochromatic light source at 1.5 times the cutoff frequency f_c (in an evacuated chamber) emits photoelectrons with a maximum kinetic energy (K_max) = 1.45 eV. For reference, Planck’s constant is 4.136 x 10^-15 eV·s, 1 nm = 10^-9 m, 1 eV = 1.60 x 10^-19 J, and the speed of light is 3.00 x 10⁸ m/s.

(a) What is the work function (Φ) of this metal in eV? Enter your answer in the box.

(b) What is the cutoff wavelength λ c for this metal (in nm)?

(c) What is the maximum kinetic energy (K_max, in eV) of a photoelectron emitted when the metal is illuminated by photons of frequency 3 times f_c?

(d) If the metal is illuminated by light from the hydrogen atom spectrum at λ= 411 nm, what is the maximum kinetic energy (K_max, in eV) of a photoelectron emitted by the metal?  If no photoelectron is emitted, enter 0 for an answer.

(e) If the metal is illuminated by light from the hydrogen atom spectrum at λ= 121.7 nm, what is the maximum kinetic energy (K_max, in eV) of a photoelectron emitted by the metal?  If no photoelectron is emitted, enter 0 for an answer.

Answer 1