College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 28, Problem 4CQ
To determine
Is quantum effect is more important in higher or lower frequency.
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The threshold of dark-adapted (scotopic) vision is 4.0 × 10−11 W/m2 at a central wavelength of 500 nm. If light with this intensity and wavelength enters the eye when the pupil is open to its maximum diameter of 8.5 mm, how many photons per second enter the eye?
Suppose you need to image the structure of a virus
with a diameter of 50 nm. For a sharp image, the
wavelength of the probing wave must be 5.0 nm or
less. We have seen that, for imaging such small
objects, this short wavelength is obtained by using
an electron beam in an electron microscope. Why
don't we simply use short-wavelength
electromagnetic waves? There's a problem with
this approach: As the wavelength gets shorter, the
energy of a photon of light gets greater and could
damage or destroy the object being studied. Let's
compare the energy of a photon and an electron
that can provide the same resolution.
For the electron with a de broglie wavelength of 3.5
nm, what is the kinetic energy (in eV)?
Suppose you need to image the structure of a virus with a diameter of 50 nm. For a sharp image, the wavelength of the probing wave must be 5.0 nm or less. We have seen that, for imaging such small objects, this short wavelength is obtained by using an electron beam in an electron microscope. Why don’t we simply use short-wavelength electromagnetic waves? There’s a problem with this approach: As the wavelength gets shorter, the energy of a photon of light gets greater and could damage or destroy the object being studied. Let’s compare the energy of a photon and an electron that can provide the same resolution.a. For light of wavelength 5.0 nm, what is the energy (in eV) of a single photon? In what part of the electromagnetic spectrum is this?b. For an electron with a de Broglie wavelength of 5.0 nm, what is the kinetic energy (in eV)?
Chapter 28 Solutions
College Physics (10th Edition)
Ch. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQCh. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQ
Ch. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 1MCPCh. 28 - Prob. 2MCPCh. 28 - Prob. 3MCPCh. 28 - Prob. 4MCPCh. 28 - Prob. 5MCPCh. 28 - Prob. 6MCPCh. 28 - Prob. 7MCPCh. 28 - Prob. 8MCPCh. 28 - Prob. 9MCPCh. 28 - Prob. 10MCPCh. 28 - Prob. 11MCPCh. 28 - Prob. 12MCPCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46PCh. 28 - Prob. 47PCh. 28 - Prob. 48PCh. 28 - Prob. 49PCh. 28 - Prob. 50GPCh. 28 - Prob. 51GPCh. 28 - Prob. 52GPCh. 28 - Prob. 53GPCh. 28 - Prob. 54GPCh. 28 - Prob. 55GPCh. 28 - Prob. 56GPCh. 28 - Prob. 57GPCh. 28 - Prob. 58GPCh. 28 - Prob. 59GPCh. 28 - Prob. 61GPCh. 28 - Prob. 62GPCh. 28 - Prob. 63GPCh. 28 - Prob. 64GPCh. 28 - Prob. 65GPCh. 28 - Prob. 66PPCh. 28 - Prob. 67PPCh. 28 - Prob. 68PPCh. 28 - Prob. 69PPCh. 28 - Prob. 70PPCh. 28 - Prob. 71PPCh. 28 - Prob. 72PPCh. 28 - Prob. 73PPCh. 28 - Prob. 74PP
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- An 68-kW AM radio station broadcasts at 1000 kHz. How many photons are emitted each second by the transmitting antenna?arrow_forwarda) How many photons per second are emitted by a monochromatic lightbulb (660 nm) that emits 45 W of power? b) If you stand 19 m from this bulb, how many photons enter each of your eyes per second? Assume your pupil is 5.0 mm in diameter and that the bulb radiates uniformly in all directions.arrow_forwardSuppose you are standing in the dark and facing a 20-W LED bulb 100 meters away. If the diameter of your pupils is about 8 mm under these conditions, about how many photons of visible light enter your eye every second? (Hint: the answer is about 6 billion photons per second)arrow_forward
- The threshold of dark-adapted (scotopic) vision is 4.5 ✕ 10−11 W/m2 at a central wavelength of 500 nm. If light with this intensity and wavelength enters the eye when the pupil is open to its maximum diameter of 7.9 mm, how many photons per second enter the eye? photons/sarrow_forwardConsider photons emitted from an ultraviolet lamp and a TV transmitter. Which has the greater (a) wavelength, (b) energy, (c) frequency, and (d) momentum?arrow_forwardThe threshold of dark - adapted (scotopic) vision is 4.0 x 10-11 W/m2 at a central wavelength of 5.00 x 102 nm. If light with this intensity and wavelength enters the eye when the pupil is open to its maximum diameter of 8.5 mm, how many photons per second enter the eye?arrow_forward
- Why go through the expense of building an electron microscope for studying very small objects such as organic molecules? Why not just use extremely short electromagnetic waves, which are much cheaper to generate?arrow_forwardWhat is the energy (in eV) of the following photons? A 200-nm photon of ultraviolet light?arrow_forwardThe average threshold of dark-adapted (scotopic) vision is 4.00 x 10-11 W/m? at a central wavelength of 500 nm. If light having this intensity and wavelength enters the eye and the pupil is open to its maximum diameter of 8.50 mm, how many photons per second enter the eye?arrow_forward
- (a) If the power output of a 670 kHz radio station is 49.0 kW, how many photons per second are produced? 1.1679e32 X How does power relate to energy? Review the relationship between energy and frequency of a photon. photons/s (b) If the radio waves are broadcast uniformly in all directions, find the number of photons per second per square meter at a distance of 125 km. Assume no reflection from the ground or absorption by the air. 2.138e21 If there is no reflection by the ground, what fraction of the radiated power reaches the receiver? What portion of the spherical surface do you need to consider here? photons/(s · m2) Additienel Mete nielarrow_forwardAssuming that 10.0% of a 100-W light bulb’s energy output is in the visible range (typical for incandescent bulbs) with an average wavelength of 580 nm, calculate the number of visible photons emitted per second.arrow_forwardPhotons of a certain ultraviolet light have an energy of 6.96 x 109 J. (a) What is the frequency of this UV light? Hz (b) Use A = c/f to calculate its wavelength in nanometers (nm). nm Need Help? Read Itarrow_forward
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