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Calculate the energy of photon having: (a) a wavelength of
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Physical Chemistry
- The Lyman series of spectral lines for the H atom, in the ultraviolet region, arises from transitions from higher levels to n = 1. Calculate the frequency and wavelength of the least energetic line in this series.arrow_forward(a) What are the possible values for mℓ when the principal quantum number (n) is 2 and the angular momentum quantum number (ℓ) is 0? (b) What are the possible values for mℓ when the principal quantum number (n) is 3 and the angular momentum quantum number (ℓ) is 2?arrow_forwardThe power output of a laser is measured by its wattage, that is, the number of joules of energy it radiates per second (1 W= 1 J s-1). A 10-W laser produces a beam of green light with a wavelength of 520 nm (5.2 × 10-7m).(a) Calculate the energy carried by each photon.(b) Calculate the number of photons emitted by the laserper second.arrow_forward
- (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_forwardCalculate the de Broglie wavelength of (i) a mass of 1.0 g travelling at 1.0 cm s−1; (ii) the same, travelling at 100 km s−1; (iii) a He atom travelling at 1000 m s−1 (a typical speed at room temperature).arrow_forward(c) The kinetic energy, Kr, of electrons emitted from a metal surface after irradiation with UV light of wavelength λ is given by: hc K₁=-=- where h is 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. (i) 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 x 10-19 J.)arrow_forward
- Consider a fictitious one-dimensional system with one electron.The wave function for the electron, drawn below, isψ (x)= sin x from x = 0 to x = 2π. (a) Sketch the probabilitydensity, ψ2(x), from x = 0 to x = 2π. (b) At what value orvalues of x will there be the greatest probability of finding theelectron? (c) What is the probability that the electron willbe found at x = π? What is such a point in a wave functioncalled?arrow_forward(c) The kinetic energy, KE, of electrons emitted from a metal surface after irradiation with UV light of wavelength A is given by: hc Kε = 7-9 where h is 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. Calculate the photon energy of the light used in the experiment, in Joules. (1) ₂4arrow_forward(a) The first step in ozone formation in the upper atmosphere occurs when oxygen molecules absorb UV radiation of wave-lengths ≤242 nm. Calculate the frequency and energy of theleast energetic of these photons. (b) Ozone absorbs light having wavelengths of 2200 to 2900 Å, thus protecting organisms on Earth’s surface from this high-energy UV radiation. What are the frequency and energy of the most energetic of these photons?arrow_forward
- Answer the following questions about a Blu-ray laser:(a) The laser on a Blu-ray player has a wavelength of 405 nm. In what region of the electromagnetic spectrum is this radiation? What is its frequency? (b) A Blu-ray laser has a power of 5 milliwatts (1 watt = 1 J s−1). How many photons of light are produced by the laser in 1 hour? (c) The ideal resolution of a player using a laser (such as a Blu-ray player), which determines how close together data can be stored on a compact disk, is determined using the following formula: Resolution = 0.60(λ/NA), where λis the wavelength of the laser and NA is the numerical aperture. Numerical aperture is a measure of the size of the spot of light on the disk; the larger the NA, the smaller the spot. In a typical Blu-ray system, NA = 0.95. If the 405-nm laser is used in a Blu-ray player, what is the closest that information can be stored on a Blu-ray disk? (d) The data density of a Blu-ray disk using a 405-nm laser is 1.5 × 107 bits mm−2. Disks have…arrow_forwardAnswer the following questions about a Blu-ray laser:(a) The laser on a Blu-ray player has a wavelength of 405 nm. In what region of the electromagnetic spectrum is this radiation? What is its frequency?(b) A Blu-ray laser has a power of 5 milliwatts (1 watt = 1 J s−1). How many photons of light are produced by the laser in 1 hour?(c) The ideal resolution of a player using a laser (such as a Blu-ray player), which determines how close together data can be stored on a compact disk, is determined using the following formula: Resolution = 0.60(λ/NA), where λ is the wavelength of the laser and NA is the numerical aperture. Numerical aperture is a measure of the size of the spot of light on the disk; the larger the NA, the smaller the spot. In a typical Blu-ray system, NA = 0.95. If the 405-nm laser is used in a Blu-ray player, what is the closest that information can be stored on a Blu-ray disk?(d) The data density of a Blu-ray disk using a 405-nm laser is 1.5 × 107 bits mm−2. Disks have…arrow_forward(a) Calculate and compare the energy of a photon ofwavelength 3.3 μm with that of wavelength 0.154 nm.(b) Use Figure 6.4 to identify the region of the electromagneticspectrum to which each belongs.arrow_forward
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