4. The work function for potassium is 2.24 eV. If potassium metal is illuminated with light of wavelength 350. nm, find (a) the maximum kinetic energy of the photoelectrons and (b) the cutoff wavelength.
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- 4. An electron has a momentum py =1.30 x 10 kg.m/s. What is the minimum uncertainty in its position that will keep the relative uncertainty in its momentum (Apy/p) below 2.3%? (35.3 nm5. A surface of copper (work function = 4.70 eV) is illuminated by light with a wavelength of 220 nm. What is the maximum kinetic energy of the emitted photoelectrons?3. Light of wavelength 500. nm is incident on a metallic surface. If the stopping potential for the photoelectric effect is 0.450 V, find (a) the maximum kinetic energy of the emitted electrons, (b) the work function, and (c) the cutoff wavelength. 11
- 4. In an electron microscope electrons are accelerated by a 1500-V potential drop to a velocity of approximately 1x108 m/s. a) Calculate the de Broglie wavelength of these electrons. b) What size objects should such a microscope be able to visualize? Explain your answer. c) If you desire a minimum uncertainty in the position of the electrons in your microscope of 1 Å, what is the maximum uncertainty that is acceptable in the momentum and velocity of the electrons?..2. A photon has a frequency of 7.50 x 1014 Hz, a. Determine the energy and the momentum of this photon. b. If all the energy of this photon were to be converted to mass, determine the equivalent mass for the particle. c. A microscopic specimen has a wavelength of 8.2 x 10-14m and a speed of 1.1 x 10° m/s. Determine the mass of this microscopic specimen.9. Considering the photoelectric effect; a) If a material has a cutoff wavelength of 780 nm what is the work function of the material? b) What is the maximum speed of liberated electrons when light with a wavelength of 410 nm is used to illuminate the material? c) If a liberated electron has 3.2349 eV of kinetic energy and it was a photon emitted from a hydrogen atom transition that liberated it, what energy level transition occurred? State both the initial and final energy level.
- 6. Given that the work function for a certain metal surface is 2.3 eV, find the stopping potential for photoelectrons ejected using incident light frequency of 7.0x1014 Hz. A. 0.9 volts B. 0.8 volts C. 0.3 volts D. 0.6 volts5. What are the kinetic energy and the speed of an electron ejected from a sodium surface whose work function is W0 = 2.28 eV when illuminated by light of wavelength (a) 410 nm and (b) 550 nm?