lectron with an initial total energy of E=3.757 eV (in a region with zero potential) is incident on a potential step (extending from x=0 to infinity) to V=1.952 eV. What is the electron's de Broglie wavelength in nm once it crosses the potential step?
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An electron with an initial total energy of E=3.757 eV (in a region with zero potential) is incident on a potential step (extending from x=0 to infinity) to V=1.952 eV. What is the electron's de Broglie wavelength in nm once it crosses the potential step?
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- 1.3. A photoelectric cell has a cutoff wavelength, λc, of 262.7 nm. ☹ (a) What is the work function of the cell? (b) What current would be produced by the cell if the wavelength was increased to 300 nm? 400 nm? 500 nm? (c) What stopping voltage Vo would be required if the illuminating wavelength were to be reduced to 200 nm? (d) What would be the maximum kinetic energy of the photo-electrons in the case of 200 nm illumination? ¹February 28, 2024 1An electron is in a box of width 3.0 * 10-10 m. What are the de Broglie wavelength and the magnitude of the momentum of the electron if it is in the n = 1 level.In a photoelectric experiment it is found that a stopping potential of 1.00 V is needed to stop all the electrons when incident light of wavelength 264 nm is used and 2.3 V is needed for light of wavelength 207 nm. From these data determine Planck's constant. (Enter your answer, in eV · s, to at least four significant figures.) eV s From these data determine the work function (in eV) of the metal. eV
- The velocity of an electron is known to be 1.000×105 m/s, with an uncertainty of Av = 1.00×102 m/s. (a) What is the minimum uncertainty in the electron's position, Av, in meters? (b) How does this compare to the de Broglie wavelength of the electron? (c) One of your professors (m = 75.0 kg) is pacing at the front of the classroom, and you measure their velocity to an uncertainty of Av = 0.100 m/s. What is the minimum uncertainty in a measurement of their position? (d) How does this compare to the height of your professor?Light with wavelength ? = 635 nm is incident on a metallic surface. Electrons are ejected from the surface. The maximum speed of these electrons is v = 4.40 ✕ 105 m/s. a) What is the work function of the metal (in eV)? b) What is the cutoff frequency for this metal (in Hz)?A ball has a mass of 0.0972 kg just before itstrikes the Earth after being dropped from abuilding 22.5 m tall.What is its de Broglie wavelength? The acceleration of gravity is 9.8 m/s2and Planck’sconstant is 6.62607 × 10−34 J · s.Answer in units of m.
- A particle of matter is moving with a kinetic energy of 7.53 eV. Its de Broglie wavelength is 2.85 x 10^-12 m. What is the mass of the particle?Violet light of wavelength 350 nm ejects electrons with a maximum kinetic energy of 0.87 eV from a certain metal. What is the work function of electrons to this metal, in electron volts ?A photon with wavelength 0.1100 nm collides with a free electron that is initially at rest. After the collision the wavelength is 0.1132 nm. (a) What is the kinetic energy of the electron after the collision? What is its speed? (b) If the electron is suddenly stopped (for example, in a solid target), all of its kinetic energy is used to create a photon. What is the wavelength of this photon?