(4) Electrons are no longer ejected from a sample of metal whenever it is illuminated by light with wavelength greater than 344nm. (a) Based on the table below, what is the most likely metal being illuminated? (b) If the sample is illuminated by light with wavelength 48.3nm, what is the stopping potential? (c) In the event this sample of metal were replaced by a metal with a smaller work function, but still illuminated with light with 48.3nm, would the kinetic energy of the ejected electrons increase or decrease?
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- A light wave of a particular frequency hits a metal. The light wave is made of discrete photons, each with energy hf = hc/λ. An electron will either completely absorb a photon, or not at all. An electron in a metal needs an energy to leave the metal -- the work function (W). For the W given, calculate the maximum light wavelength (in nm) that will eject an electron. I will use electron-volts (eV) for energy, because the computer gives me trouble with very low numbers. hc = 1240 eV nm W = 3.9 eVIn designing an experiment, you want a beam of photons and a beam of electrons with thesame wavelength of 0.281 nm, equal to the separation of the Na and Cl ions in a crystal ofNaCl. Find the energy of the photons and the kinetic energy of the electrons in electrovolts(eV).In an x-ray tube, the maximum photon energy is given by hf = qV. Would it be technically more correct to say hf = qV + BE, where BE is the binding energy of electrons in the target anode? Why isn’t the energy stated the latter way?
- Molybdenum has a work function of 4.20 eV. What is the stopping potential if the incident light has a wavelength of 180 nm?In a photoelectric effect experiment using UV light of wavelength 100 nm, a stopping voltage of V = 7.68 V is found. (a) Find the work function of the metal used. Using an appropriate table of work functions (in your text, for example), identify the metal. (b) Will there be a photoelectric effect using light of wavelength 200 nm? If so, find the stopping voltage. (c) Will there be a photoelectric effect using light of wavelength 400 nm? If so, find the stopping voltage.In the 1920s Clinton Davisson and Lester Germer accidentally observed diffraction when electrons with 54 eV of energy were scattered off crystalline nickel. The diffraction peak occurred when the angle between the incident beam and the scattered beam was 50°. (a) What is the corresponding angle u relevant for Eq.? (b) The planes in crystalline nickel are separated by 0.091 nm, as determined by x-ray scattering experiments. According to the Bragg condition, what wavelength do the electrons in these experiments have? (c) Given the mass of an electron as 9.11 x 10-31 kg, what is the corresponding classical speed vcl of the diffracted electrons? (d) Assuming the electrons correspond to a wave with speed vcl and wavelength λ, what is the frequency f of the diffracted waves? (e) Quantum mechanics postulates that the energy E and the frequency f of a particle are related by E = hf, where h is known as Planck’s constant. Estimate h from these observations. (f) Our analysis has a small flaw:…
- Submit it correctly.For x rays with wavelength 0.0300 nm, the m = 1 inten- sity maximum for a crystal occurs when the angle u in Fig. is 35.8°. At what angle u does the m = 1 maximum occur when a beam of 4.50 keV electrons is used instead? Assume that the electrons also scat- ter from the atoms in the surface plane of this same crystal.Based on your answer in Question 7, when light with a wavelength of 198 nm strikes the surface of tin metal, electrons are ejected with a maximum kinetic energy of 2.9 x 10-19 J. What is the binding energy of these electrons to the metal?
- The work function for the surface of aluminium is 4.2 eV. How much potential difference will be required to stop the emission of maximum energy electrons emitted by light of 2000 A wavelength. What will be the wavelength of that incident light for which stopping potential will be zero.What is the cutting potential of the ejected electrons when shining a monochromatic light with a wavelength of 400 nm on a metal whose work function is 2.0 eV? What is approximately the maximum velocity of the ejected electrons? ( ) 1.1 V and 620 km/s ( ) 2.0 V and 840 km/s ( ) 5.1 V and 1330 m/s ( ) 3.1 V and 1040 km/s ( ) 5.1 V and 1330 km/s