Chapter 38.9, Problem 1EE

Light with wavelength ? = 635 nm is incident on a metallic surface. Electrons are ejected from the surface. The maximum speed of these electrons is v = 4.40 ✕ 105 m/s. a) What is the work function of the metal (in eV)? b) What is the cutoff frequency for this metal (in Hz)?

Scanning and tunneling electron microscopes are used to measure high resolution scientific images. As a general rule, the wavelength of the electrons must be at least as small as the item being scanned in order to detect/image the presence of the item. The new novel coronavirus has a size of 60 nm to 140 nm. The crowns or "corona" which are the protien like structures that extend from the body of the virus and have a length of 7 nm to 10 nm. The image above was taken at Rocky Mountain Laboratories in Montana, USA, using a tunneling electron microscope (TEM). What approximate size of wavelength was used to produce the image? 160 nm O 80 nm O 20 nm O 5 nm оооо

When an electron in a one-dimensional box makes a transition from the n = 1 energy level to the n = 2 level, it absorbs a photon of wavelength 426 nm. What is the wavelength of that photon when the electron undergoes a transition (a) from the n = 2 to the n = 3 energy level and (b) from the n = 1 to the n = 3 energy level? (c) What is the width L of the box?