Visible light falls into wavelength ranges of 400-700 nm, for which 1 m = 1 x 10° nm. The energy and wavelength of light are related by the equation hc E where E is energy in Joules, h is Planck's constant (6.626 × 10 34 J-s), c is the speed of light ( 2.998 x 10 m/s), and X is the wavelength in m. If a visible light photon has a wavelength of 407.6 nm, what is the energy of the photon (in J)?

Visible light falls into wavelength ranges of 400-700 nm, for which 1 m = 1 x 10° nm. The energy and wavelength of light are related by the equation hc E where E is energy in Joules, h is Planck's constant (6.626 × 10 34 J-s), c is the speed of light ( 2.998 x 10 m/s), and X is the wavelength in m. If a visible light photon has a wavelength of 407.6 nm, what is the energy of the photon (in J)?

Chemistry for Engineering Students

4th Edition

ISBN:9781337398909

Author:Lawrence S. Brown, Tom Holme

Publisher:Lawrence S. Brown, Tom Holme

Chapter6: The Periodic Table And Atomic Structure

Section: Chapter Questions

Problem 6.18PAE: 6.18 Assume that a microwave oven operates at a frequency of 1.001011s1 . (a) What is the wavelength...

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(a) Which color in the visible spectrum has the highest frequency? Which has the lowest frequency? (b) Is the wavelength of the radiation used in a microwave oven (2.45 GHz) longer or shorter than that from your favorite FM radio station (for example, 91.7 MHz)? (c) Are the wavelengths of x-rays longer or shorter than those of ultraviolet light? (d) Calculate the frequency of green light with a wavelength of 510. nm.
A particular microwave oven delivers 750 watts. (A watt is a unit of power, which is the joules of energy delivered, or used, per second.) If the oven uses microwave radiation of wavelength 12.6 cm, how many photons of this radiation are required to heat 1.00 g of water 1.00C, assuming that all of the photons are absorbed?
A hydrogen atom in the ground stale absorbs a photon whose wavelength is 95.0 nm. The resulting excited atom then emits a photon of 1282 nm. What are the regions of the electromagnetic spectrum for the radiations involved in these transitions? What is the principal quantum number of the final state resulting from the emission from the excited atom?
6.14 For photon with the following energies, calculate the wavelength and identify the region of the spectrum they are from. (a) 3.51020 J, (b) 8.71026 J, (c) 7.11017 J, (d) 5.51027 J
A baseball weighs 142 g. A professional pitcher throws a fast ball at a speed of 100 mph and a curve ball at 80 mph. What wavelengths are associated with the motions of the baseball? If the uncertainty in the position of the ball is 12 wavelength, which ball (fast ball or curve) has a more precisely known position? Can the uncertainty in the position of a curve ball be used to explain why batters frequently miss it?
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Warm objects emit electromagnetic radiation in the infrared region. Heat lamps employ this principle to generate infrared radiation. Water absorbs infrared radiation with wavelengths near 2.80 m. Suppose this radiation is absorbed by the water and converted to heat. A 1.00-L sample of water absorbs infrared radiation, and its temperature increases from 20.0C to 30.0C. How many photons of this radiation are used to heat the water?
6.18 Assume that a microwave oven operates at a frequency of 1.001011s1 . (a) What is the wavelength of this radiation in meters? (b) What is the energy in joules per photon? (c) What is the energy per mole of photons?
One type of electromagnetic radiation has a frequency of 107.1 MHz, another type has a wavelength of 2.12 1010 m, and another type of electromagnetic radiation has photons with energy equal to 3.97 1019 J/pboton. Identify each type of electromagnetic radiation and place them in order of increasing photon energy and increasing frequency.