2. Photo-electric effect. when two ultraviolet beams of wavelengths 21 = 80 nm and 12 = 110 nm fall on a lead surface, they produce photoelectrons with maximum energies 11.390 eV and 7.154 eV, respertively. a) Estimate the numerical value of the Planck constant. (b) Calculate the work function, the threshold frequency and the threshold wave-length of lead.
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- 2. A particle of matter is moving with a kinetic energy of 6.55 eV. Its de Broglie wavelength is 1.34 x 10^-12 m. What is the mass of the particle? 4.68E-26 kg 1.40E-25 kg 1.99E-25 kg 1.17E-25 kg4. In an experiment on the photoelectric effect, a metal is illuminated by visible light of different wavelengths. A photoelectron has a maximum kinetic energy of 0.9 eV when red light of wavelength 640 nm is used. With blue light of wavelength 420 nm, the maximum kinetic energy of the photoelectron is 1.9 eV. Use this information to calculate an experimental value for the Planck constant h. [1. A system has a ground state energy of 2 eV. The system is in an excited energy state with 10 eV of energy. If the system transitions from the excited energy state to the ground state by emitting 1 eV photons, how many photons are emitted? a. Exactly 8 b. More than 8 c. More than 1 but less than 8 d. Exactly 1 e. There's no way to know for sure 2. In blackbody radiation, the wavelength that has the peak intensity a. Decreases as temperature increases b. Increases as temperature increases c. Doesn't change as temperature increases
- 5. 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?8. An electron is trapped within a sphere whose diameter is 5.20 x 10-15 m (about the size of the nucleus of a medium sized atom). What is the minimum uncertainty in the electron's momentum? kg.m/sIn an experiment to study the photo-electric effect, light of wavelength 400 nm shining on a metallic surface causes electrons to be emitted. The maximum kinetic energy of the electrons is 1.05 eV (electron volts). Another light source of wavelength 200 nm is then tried, and the emitted electrons have a maximum kinetic energy of 4.20 eV. Using this information: a) determine the value of Planck's constant. b) determine the work function of the metal.
- 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.5. An electron ( me = 9.11 × 10−31 kg ) and a bullet ( m = 0.02 kg) each have a velocity of magnitude 500 m/s, with a precision within 0.01%. In what limits is it possible to determine the position of objects along the velocity direction?What can you conclude from comparing your results for the electron and for thebullet?1. A magnesium surface has a work function of 3.10 eV. Electromagnetic waves with a wavelength of 190 nm strike the surface and eject electrons. Find the maximum kinetic energy of the ejected electrons. Express your answer in volts. f60 C £60* ssf60 sthetic oss 50 ssf60 s ssf60 ssf ectron
- 3. What speed must an electron have if its momentum is to be the same as that of an X-ray photon with a wavelength of 0.30 nm? m/s of19 o oof= 1. Photoelectric effect. In a photoelectric experiment in which monochromatic light of wave- length \ falls on a potassium surface, it is found that the stopping potential Vstop is 1.9 V for > 300 nm and 0.88 V for \ = 400 nm. Imagine we know neither Planck's constant, nor the workfunction for potassium, nor the threshold frequency fo. But assume we do know the elementary charge e 1.60 × 10-19 C and want to test the theoretical prediction of Eintsein's theory. = (a) From the given data, calculate a value for Planck's constant, h. (b) From the same data, find the workfunction Eo and the threshold frequency fo for potas- sium. (c) Then compare your results for h and Eo to their known values (see Knight, Table 38.1 for the work function). (d) Plot eVstop as a linear function of frequency f. Include the information you have found in parts (a) and (b) as well as the experimental data.