Calculate the de Broglie wavelength of a typical nitrogen molecule in the atmosphere on a hot summer day (37°C). Compare this with the diameter (less than 1 nm) of the molecule.
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Calculate the de Broglie wavelength of a typical nitrogen molecule in the atmosphere on a hot summer day (37°C). Compare this with the diameter (less than 1 nm) of the molecule.
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- Calculate the velocities of electrons with de Broglie wavelengths of 1.7×103 nm and 5.0 nm, respectively.Question 9. While most transition metals have work functions corresponding to photon frequencies that are larger (higher) than visible light, alkali and alkaline earth metals have low-energy work functions. For example, calcium has a work function of o = 4.3419×10-19 J. (a) What is the initial state n, for the hydrogen emission lines at visible wavelengths (i.e., those with n = 2) for the lowest-energy photon that would eject an electron from calcium? %3! (b) If the colors of the visible hydrogen emission lines (n; = 3 to n = 6) are red, green, blue and %3D violet, which colors are capable of ejecting the electrons from calcium? (c) The energy of the emitted photon you identified in part (a), is not identical to the workfunction of calcium. Therefore, the electron is ejected from the metal surface with some kinetic energy (i.e., energy is conserved in the photoelectric effect process). What would the velocity of the electron ejected from calcium (in meters per second)?Light of frequency 12x1015 Hz shines on to clean caesium metal. What is the maximum kinetic energy of the electrons emitted ? The work function of caesium is 1.5 x 10-19 J and the Planck constant h = 6.63 x 10-34 J s. Round off the answer to 2 decimal places and write answers as power of 10.
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