Ex. 51: Calculate the energy of a photon in O light of wavelength 5000 A.
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- Which of the following statements are true? Choose all that apply. A photon has kinetic energy. O Electrons have a positive charge. If photon A has a larger momentum than photon B, photon A must be moving faster than photon B. Hotter objects have a larger peak frequency. Increasing the light intensity on a piece of metal will increase the maximum KE of the ejected electrons (assuming f > fo). If an electron drops down to the ground state, a photon will be emitted.Problem 7 Light is incident on the surface of metallic nickel, from which 5.0 eV are required to remove an electron. The stopping potential is 4.5 volts. (Note that 1 eV = 1.6 x 10-19 J.) Find the wavelength of the incident light. Would this light emit any electrons from a metal whose work function is 8.4 eV? If so, determine the maximum kinetic energy of an emitted electron (in either J or eV). If not, explain why. (a) (b) (c) If the power of the light source is 2.5 mW, how much time is required for 2.0 x 1017 photons to be emitted by the source, and what is the momentum of each photon?Assume we have a material with a work function of 4.87 eV. What is the maximum speed, in meteres per second, of electrons ejected from this metal by photons of light with wavelength 85 nm?
- A 519 nm laser emits 2.41 x 1019 photons per second, how much total energy (in J) would this transfer if it was shined directly on an object for 3.24 s?The red light photon has a wavelength of λ = 635 nm, find its energy E in eV (electron volt) units?6. (30 points) Construct the energy level diagram for a singly ionized helium (Z = 2) up to the first six energy levels. Show proper energy in eV for each level. П n Anode Photoelectrons Metal specimen (a) An electron in a helium atom jumps from some initial orbit ni to some final orbit nf. If the photon emitted in the process is capable of ejecting photoelectrons from a metal specimen (work function 7.00 eV), determine nf. = (b) If a minimum stopping potential of Vo = 5.09 V is required to prevent the photoelectrons from hitting the anode, determine the value of ni.
- Potassium and gold cathodes are used in a photoelectric-effect experiment. For each cathode, find: The threshold frequency. The threshold wavelength. The maximum electron ejection speed if the light has a wavelength of 170 nm . The stopping potential if the wavelength is 170 nm . Throughout this problem, be sure to use 6.63×10−34J⋅s for Planck's constant. a) The maximum photoelectron ejection speed in meters per second for an electron ejected from potassium if the light has a wavelength of 170 nm. Express your answer in meters per second. b)The maximum photoelectron ejection speed in meters per second for an electron ejected from gold if the light has a wavelength of 170 nm . c)The stopping potential in volts for potassium if the wavelength is 170 nm. Express your answer in volts. d) The stopping potential in volts for gold if the wavelength is 170 nm. Express your answer in volts.Estimate the binding energy of electrons in magnesium, given that the wavelength of 337 nm is the longest wavelength that a photon may have to eject a photoelectron from magnesium photoelectrode. Electrons are bound to the magnesium with potential depth of at least eV.