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- 1. A particle loses 7.20 × 10-¹⁹ J of energy while emitting light. (a) What is the wavelength of the light that is emitted in nm? What portion of the electromagnetic spectrum does this light represent? (b) What is the frequency of the light emitted in sec¯¹? (c) If the wave function for an electron has a wavelength of λ = 500 nm, which would be equivalent to a visible photon if the electron were light instead of a particle, how fast is the electron moving, in m/sec, according to deBroglie's formula?3:42 .ull 5G Done 2 of 2 John Isner holds the ATP's (Association of Tennis Professionals) official record for the fastest serve at 253 km/h. Calculate the de Broglie wavelength of a tennis ball with the standard weight of 54.6 grams. Give your answer in 1034 m (for example, if your answer is 5.6x1034 m, then enter 5.6). This should give you a good idea of why one cannot expect to observe interference affects using tennis balls rather then, for example, electrons. +)Orange light with a wavelength of 6.00 x 10^2 nm is directed at a metallic surface with a workfunction of 1.60 eV. Determine the following:a. the maximum kinetic energy of the emitted electrons, in joules. b. the maximum speed of the emitted electrons. c. the potential required to stop these electrons.
- 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 nm3. 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. 114. 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? 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.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?Which has the larger de Broglie wavelength, a 0.50 kg ball moving with a speed of 25 m/s or an electron traveling at 2/3 the speed of light? The mass of an electron is 9.11 x 10-31 kg and the speed of light is 3 x 108 m/s. Select one: a. It could be either, depending on the circumstances. b. The ball c. The electron5. 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?