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Convert (a) a wavelength of
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Student Solutions Manual for Ball's Physical Chemistry, 2nd
- (c) The kinetic energy, K, of electrons emitted from a metal surface after irradiation with UV light of wavelength is given by: Kg = hc $ where h is Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 × 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface. (1) Calculate the photon energy of the light used in the experiment, in Joules. (II) The work function for cadmium is 4.08 eV. Calculate the kinetic energy of the emitted electrons. [Note: 1 eV = 1.60 × 10-19 J.) (iii) The work function for scandium is 5.61 x 10-19 J. Calculate the wavelength of the lowest energy photon that would cause emission of electrons from a scandium surface. (iv) Irradiation of scandium with 335 nm light results in electrons emitted with a kinetic energy of 3.20 x 10-19 J. Calculate the de Broglie wavelength of the emitted electrons.arrow_forwardSound waves, like light waves, can interfere with each other, giving maximum and minimum levels of sound. Suppose a listener standing directly between two loudspeakers hears the same tone being emitted from both. This listener observes that when one of the speakers ismoved 0.16 m farther away, the perceived intensity of thetone decreases from a maximum to a minimum.(a) Calculate the wavelength of the sound.(b) Calculate its frequency, using 343 m s-1as the speedof sound.arrow_forwardCalculate the momentum of an X-ray photon with a wavelength of 0.17nm. How does this value compare with the momentum of a free electron that has been accelerated through a potential difference of 5000 volts? (Hint: electron mass, m, = 9.10938 x 10" kg; electron charge e = 1.602 x 10"C; speed of light e = 3.0 x 10° m.s'; 1.00 J= 1.00 VC; h = 6.626 x 10"J.s. The various energy units are: 1 J=1 kg.m's", 1.00 cV =1VC, leV = 1.602 x 10"J, 1J=6.242 x 10" eV, etc.). %3D %3Darrow_forward
- A laser pointer used in a lecture hall emits light at 445 nmnm. What is the frequency of this radiation? Express your answer in inverse seconds to two significant figures.arrow_forwardCalculate the momentum of an X-ray photon with a wavelength of 0.17nm. How does this value compare with the momentum of a free electron that has been accelerated through a potential difference of 5000 volts? (Hint: electron mass, m, = 9.10938 x 10" kg; electron charge e = 1.602 x 10"C; speed of light e = 3.0 x 10* m.s'; 1.00 J= 1.00 VC; h = 6.626 x 10"J.s. The various energy units are: 1 J= 1 kg.m°s³, 1.00 eV =1VC, leV= 1.602 x 10"J, 1J= 6.242 x 10" eV, etc.). %3Darrow_forwardWhich of the following functions can be normalized (in all cases the range for x is from x = −∞ to ∞, and a is a positive constant): (i) e-ax^2; (ii) e–ax. Which of these functions are acceptable as wavefunctions?arrow_forward
- 1 Consider two gas clouds, one almost fully ionized at a temperature of 10000 K and emitting in Hβ λ4961.32 Å, and the other one mostly neutral at a temperature of 1000 K and emitting in CO λ2.3 μm. Both gas clouds are moving away from the observer at 1750 km/s. (a) Calculate the central wavelength of the emission lines Hβ λ4961.32 Å and CO λ2.3 μm. (b) Calculate the Doppler broadening of the two emission lines in part (a). Express your answer in both kinematic (km/s) and wavelength units. (The mass of atomic hydrogen = 1.0079u, where u = atomic mass unit = 1.66053x10-27 kg. The mass of CO is 28u.)arrow_forward(c) Estimate the wavelength of electrons that have been accelerated from rest through a potential difference of 75 kV.arrow_forwardA nitrogen molecule is confined in a cubic box of volume 1.00 m3. (i) Assuming that the molecule has an energy equal to 3/2kT at T = 300 K, what is the value of n = (nx2 + ny2 + nz2)1/2 for this molecule? (ii) What is the energy separation between the levels n and n + 1? (iii) What is the de Broglie wavelength of the molecule?arrow_forward
- Suppose you are standing 225 m from a radio transmitter. What is your distance from the transmitter in terms of the number of wavelengths if(a) the station is broadcasting at 1150 kHz (on the AM radio band)? (1kHz = 1 × 10 3Hz) (b) the station is broadcasting at 98.1 MHz (on the FM radio band)? (1 MHz × 10 6arrow_forward(c) The kinetic energy, K₁, of electrons emitted from a metal surface after irradiation with UV light of wavelength λ is given by: hc Kg = -4 where his Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 x 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface.arrow_forwardWhich of the following functions can be normalized (in all cases the range for x is from x = −∞ to ∞, and a is a positive constant): (i) sin(ax);(ii) cos(ax) e-x^2? Which of these functions are acceptable as wavefunctions?arrow_forward
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning