A photon of green light has a wavelength of $520$ nm. Find the photon's frequency, magnitude of momentum, and energy. Express the energy in both joules and electron volts.

A laser used to weld detached retinas emits light with a wavelength of $652$ nm in pulses that are $20.0$ ms in duration. The average power during each pulse is $0.600$ W. How much energy is in each pulse in joules? In electron volts?

A photon has momentum of magnitude $8.24\times {10}^{-28}$ kg-m/s. What is the energy of this photon? Give your answer in joules and in electron volts.

A photon has momentum of magnitude $8.24\times10^{-28}$ kg-m/s. What is the wavelength of this photon? In what region of the electromagnetic spectrum does it lie?

The photoelectric threshold wavelength of a tungsten surface is $272$ nm. Calculate the maximum kinetic energy of the electrons ejected from this tungsten surface by ultraviolet radiation of frequency $1.45\times {10}^{15}$ Hz. Express the answer in electron volts.

What would the minimum work function for a metal have to be for visible light ($380$–$750$ nm) to eject photoelectrons?

The photoelectric work function of potassium is $2.3$ eV. If light that has a wavelength of $190$ nm falls on potassium, find the stopping potential in volts.

The photoelectric work function of potassium is $2.3$ eV. If light that has a wavelength of $190$ nm falls on potassium, find the kinetic energy, in electron volts, of the most energetic electrons ejected.

The cathode-ray tubes that generated the picture in early color televisions were sources of x rays. If the acceleration voltage in a television tube is $15.0$ kV, what are the shortest-wavelength x rays produced by the television?

X rays with initial wavelength $0.0665$ nm undergo Compton scattering. What is the longest wavelength found in the scattered x rays? At which scattering angle is this wavelength observed?

A photon scatters in the backward direction ($\varphi =180$°) from a free proton that is initially at rest. What must the wavelength of the incident photon be if it is to undergo a $10.0\%$ change in wavelength as a result of the scattering?

X rays with an initial wavelength of $0.900\times {10}^{-10}$ m undergo Compton scattering. For what scattering angle is the wavelength of the scattered x rays greater by $1.0\%$ than that of the incident x rays?

An electron and a positron are moving toward each other and each has speed $0.500c$ in the lab frame. What is the kinetic energy of each particle?

An ultrashort pulse has a duration of $9.00$ fs and produces light at a wavelength of $556$ nm. What are the momentum and momentum uncertainty of a single photon in the pulse?

A horizontal beam of laser light of wavelength $585$ nm passes through a narrow slit that has width $0.0620$ mm. The intensity of the light is measured on a vertical screen that is $2.00$ m from the slit.

(a) What is the minimum uncertainty in the vertical component of the momentum of each photon in the beam after the photon has passed through the slit?

(b) Use the result of part (a) to estimate the width of the central diffraction maximum that is observed on the screen.