Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 38, Problem 45P
To determine
To find:
a) the wavelength at which your spectral radiancy is maximum (assuming that your body is a black body radiator).
b) the power at which you emit thermal
c) the rate at which you emit photons from that surface area
Now, assume that the wavelength is
d) Recalculate the power.
e) Recalculate the rate of photon emission.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Assuming that your surface temperature is 98.6°F and that you are an ideal blackbody radiator (you are close), find (a) the wavelength at which your spectral radiancy is maximum, (b) the power at which you emit thermal radiation in a wavelength range of 1.00 nm at that wavelength, from a surface area of 4.00 cm2, and (c) the corresponding rate at which you emit photons from that area. Using a wavelength of 500 nm (in the visible range), (d) recalculate the power and (e) the rate of photon emission. (As you have noticed, you do not visibly glow in the dark.)
A cavity radiator has its maximum spectral radiance at a wavelength of 2,5×10-7 m. If the body is heated so that T/T0 = 5,5, what will be the ratio of radiant powers W/W0? Wien's constant b = 2.897 ×10-3 m·K.
Consider a black body of surface area 22.0 cm² and temperature 5700 K.
(a) How much power does it radiate?
131675.5
W
(b) At what wavelength does it radiate most intensely?
508.421
nm
(c) Find the spectral power per wavelength at this wavelength. Remember that the Planck intensity is "intensity per unit wavelength", with units of W/m³, and "power per unit
wavelength" is equal to that intensity times the surface area, with units of W/m
131.5775
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. W/m
Chapter 38 Solutions
Fundamentals of Physics Extended
Ch. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Prob. 5QCh. 38 - Prob. 6QCh. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10Q
Ch. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46PCh. 38 - Prob. 47PCh. 38 - Prob. 48PCh. 38 - Prob. 49PCh. 38 - Prob. 50PCh. 38 - Prob. 51PCh. 38 - Prob. 52PCh. 38 - Prob. 53PCh. 38 - Prob. 54PCh. 38 - Prob. 55PCh. 38 - Prob. 56PCh. 38 - Prob. 57PCh. 38 - Prob. 58PCh. 38 - Prob. 59PCh. 38 - Prob. 60PCh. 38 - Prob. 61PCh. 38 - Prob. 62PCh. 38 - Prob. 63PCh. 38 - Prob. 64PCh. 38 - Prob. 65PCh. 38 - Prob. 66PCh. 38 - Prob. 67PCh. 38 - Prob. 68PCh. 38 - Prob. 69PCh. 38 - Prob. 70PCh. 38 - Prob. 71PCh. 38 - Prob. 72PCh. 38 - Prob. 73PCh. 38 - Prob. 74PCh. 38 - Prob. 75PCh. 38 - Prob. 76PCh. 38 - Prob. 77PCh. 38 - Prob. 78PCh. 38 - Prob. 79PCh. 38 - Prob. 80PCh. 38 - Prob. 81PCh. 38 - Prob. 82PCh. 38 - Prob. 83PCh. 38 - Prob. 84PCh. 38 - Prob. 85PCh. 38 - Prob. 86PCh. 38 - Prob. 87PCh. 38 - Prob. 88PCh. 38 - Prob. 89PCh. 38 - Prob. 90P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- By what rate a photon emitted from a sodium vapor lamp? Assume that the lamp's light is monochromatic and of wavelength 589 nm? Answer : 1.5*10^20 s^-1arrow_forwardSuppose a star with radius 8.69 x 10° m has a peak wavelength of 684 nm in the spectrum of its emitted radiation. (a) Find the energy of a photon with this wavelength. 0.029e-17 J/photon (b) What is the surface temperature of the star? 4274.3 X K (c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). 1.9934e17 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. W (d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star. X photons/sarrow_forwardA particular star has a radius of 8.46 ✕ 108 m. The peak intensity of the radiation it emits is at a wavelength of 679 nm. (a) What is the energy (in J) of a photon with this wavelength? answer in J (b) What is the star's surface temperature (in K)? (Round your answer to at least the nearest integer.) answer in K (c) At what rate (in W) is energy emitted from the star in the form of radiation? Assume the star is a blackbody, with emissivity e = 1. answer in W (d) Using the results from parts (a) and (c), estimate the rate (in photons/s) at which photons are emitted by the star. answer in photon/sarrow_forward
- The moon has a mass of 7.35 * 1022 kg, and the length of a sidereal day is 27.3 days. (a) Estimate the de Broglie wavelength of the moon in its orbit around the earth. (b) Using Mearth for the mass of the earth and Mmoon for the mass of the moon, we can use Newton’s law of gravitation to determine the radius of the moon’s orbit in terms of an integer-valued quantum number m as Rm = m2amoon, where amoon is the analog of the Bohr radius for the earth–moon gravitational system. Determine amoon in terms of Newton’s constant G, Planck’s constant h, and the masses Mearth and Mmoon. (c) The mass of the earth is Mearth = 5.97 * 1024 kg. Estimate the numerical value of amoon. (d) The radius of the moon’s orbit is 3.84 * 108 m. Estimate the moon’s quantum number m. (e) The quantized energy levels of the moon are given by E = -E0/m2. Estimate the quantum ground-state energy E0 of the moon.arrow_forwardAn x-ray photon is scattered from a free electron (mass m) at rest. The wavelength of the scattered photon is I′, and the final speed of the struck electron is v. (a) What was the initial wavelength I of the photon? Express your answer in terms of I′, v, and m. (Hint: Use the relativistic expression for the electron kinetic energy.) (b) Through what angle f is the photon scattered? Express your answer in terms of I,I ′, and m. (c) Evaluate your results in parts (a) and (b) for a wavelength of 5.10 x 10-3 nm for the scattered photon and a final electron speed of 1.80 x 108 m/s. Give f in degrees.arrow_forwardThe work function for a Palladium metal plate on a PCB board of a detector is 5.22 eV. A. Compute the energy, in units of Joules, that is required to remove an electron from the plate B. Compute the KE and speed of and electron hit by a photon of wavelength 75 nm C. Compute the speed of the ejected electron if the wavelength of the photon is 265 nm (J) and (m/s) (J). (m/s)arrow_forward
- Position of a Single Photon at a Screen. Consider monochromatic light of wavelength A. incident on an infinite screen in the plane z = 0, with an intensity I(p) = where p = V? + y2. Assume that the intensity of the source is reduced to a level at which only a single photon strikes the screen. 13.1-6 Io exp(-p/po), (a) Find the probability that the photon strikes the screen within a radius po of the origin. (b) If the incident light contains exactly 106 photons, how many photons strike within a circle of radius po on average?arrow_forwardSuppose a star with radius 8.57 × 108 m has a peak wavelength of 680 nm in the spectrum of its emitted radiation. (a) Find the energy of a photon with this wavelength. J/photon (b) What is the surface temperature of the star? K (c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). W (d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star. photons/sarrow_forwardNeed all partsarrow_forward
- What temperature, in °C, is a blackbody whose emission spectrum peaks at 320 nm ? T= Submit Request Answer Part B VE ΑΣΦ T= Submit What temperature, in °C, is a blackbody whose emission spectrum peaks at 4.60 m? VE ΑΣΦ P By Request Answer ? Stag °C ? °Carrow_forward(BB-1) The average adult human body has a surface area of about 1.8 m², and a temperature of 98.6 degrees Fahrenheit. For this problem, treat a person as an ideal blackbody radiator. (a) What is the power radiated (in Watts) by the body? (b) At what wavelength does the body radiate most strongly (in nanometers, nm)? What part of the electromagnetic spectrum is this (i.e., visible light, ultraviolet, X-ray, etc.).arrow_forwardModel the tungsten filament of a lightbulb as a black body at temperature 2 900 K. (a) Determine the wavelength of light it emits most strongly. (b) Explain why the answer to part (a) suggests that more energy from the lightbulb goes into infrared radiation than into visible light.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning