Chapter 38.9, Problem 1EE

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

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)?

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?