Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 3, Problem 40P
(a)
To determine
The proof for the given relation.
(b)
To determine
Prove the relation for
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Suppose that the microwave radiation has a wavelength of 11.6 cm. How many photons are required to heat 265 mL of coffee from 25.0 degrees Celcius to 62.0 degrees Celcius? Assume that the coffee has the same density, 0.997 g/mL, and specific heat capacity, 4.184 J/(g.K), as water over this temperature range.
Calculate the energy, in electron volts, of a photon whose frequency is (a) 6.20 x 102 THz, (b) 3.10 GHz, and (c) 46.0 MHz.
If 1.88 × 10¹⁸ photons fall per cm² per cm² area of a radiation detector exposed to light coming from a source and the value of 0.77 J cm⁻d min⁻¹ is read from the meter, what should be the wavelength of the incident light?
Chapter 3 Solutions
Modern Physics
Ch. 3.2 - Calculate the quantum number, n, for this pendulum...Ch. 3.2 - An object of mass m on a spring of stiffness k...Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8Q
Ch. 3 - Prob. 9QCh. 3 - Prob. 10QCh. 3 - Prob. 11QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - As a single crystal is rotated in an x-ray...Ch. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48P
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
- Visible light falls into wavelength ranges of 400-700 nm, for which 1 m=1×109 nm The energy and wavelength of light are related by the equationE=hcλ where E is energy in Joules, h is Planck's constant ( 6.626×10−34 J-s ), c is the speed of light ( 2.998×108 m/s), and λ is the wavelength in m. If a visible light photon has a wavelength of 632.3 nm, what is the energy of the photon (in J)?arrow_forwardSuppose a star with radius 8.51 108 m has a peak wavelength of 689 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_forwardA photon has a frequency of 1.14 x 10^15 Hz. What is the energy of the photon? Recall E = hf, where E is energy in Joules, h is Planck's constant = 6.62 x 10^-34 J/s, and f is frequency (Hz).arrow_forward
- 1. A photon has a frequency of 7.50 x 1014 Hz, a) Determine the energy and the momentum of this photon. b) If all the energy of this photon were to be converted to mass, determine the equivalent mass for the particle. c) A microscopic specimen has a wavelength of 8.2×10−14? and a speed of 1.1×105?/?. Determine the mass of this microscopic specimen. i) Determine the energy and the momentum of this photon. ii) If all the energy of this photon were to be converted to mass, determine the equivalent mass for the particle. Hello. I was confused as to why the mass in part b) would be different than the mass in part c) or part ii). Or why the energy and momentum in part a) would differ from that in part i). If you could solve this question and explain if and why these parts are different. Thanks.arrow_forwardSuppose a star with radius 8.50 × 108 m has a peak wavelength of 685 nm in the spectrum of its emitted radiation. (a) Find the energy of a photon with this wavelength. (b) What is the surface temperature of the star? (c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). (d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star.arrow_forwardFind the energy of (a) a photon having a frequency of 5.00 1017 Hz and (b) a photon having awavelength of 3.00 3 102 nm. Express your answers in units of electron volts, noting that 1 eV =1.60 10-19 J. (E = 2.07 keV, E = 4.14 eV)arrow_forward
- For the thermal radiation from an ideal blackbody radiator with a surface temperature of 2000 K, let Ic represent the intensity per unit wavelength according to the classical expression for the spectral radiancy and IP represent the corresponding intensity per unit wavelength according to the Planck expression.What is the ratio Ic/IP for a wavelength of (a) 400 nm (at the blue end of the visible spectrum) and (b) 200 mm (in the far infrared)? (c) Does the classical expression agree with the Planck expression in the shorter wavelength range or the longer wavelength range?arrow_forwarda) What is the wavelength lambda (m) of green light having a frequency of 5.7 x 10^14 Hz. b). Determine the energy (J) of each photon of the green light using the formula E = hf, where E is energy in Joules, h is Planck's constant (6.62 x 10^-34 J/s) and f is frequency in Hz.arrow_forwardA pulsed ruby laser emits light at 694.3 nm. For a 14.0-ps pulse containing 3.00 J of energy, find (a) the physical length of the pulse as it travels through space and (b) the number of photons in it. (c) Assuming that the beam has acircular cross-section of 0.600 cm diameter, find the number of photons per cubic millimeter.arrow_forward
- 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.)arrow_forwardA 2.0-kg object falls from a height of 5.0 m to the ground. If all the gravitational potential energy of this mass could be converted to visible light of wavelength 5.0 × 10−7 m, how many photons would be produced?arrow_forwardA hydrogen atom undergoes a transition from an excited state to the ground state by emitting a photon. The energy difference between the excited state and the ground state is 2.04 eV. The wavelength of the emitted photon is measured to be 656 nm. Calculate the frequency and the energy of the emitted photon in Joules. (Note: You may use the following conversions: 1 eV = 1.6 x 10^-19 J and the speed of light, c = 3.0 x 10^8 m/s) Give your answer to the nearest whole number.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Stars and Galaxies (MindTap Course List)PhysicsISBN:9781337399944Author:Michael A. SeedsPublisher:Cengage LearningFoundations of Astronomy (MindTap Course List)PhysicsISBN:9781337399920Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Stars and Galaxies (MindTap Course List)
Physics
ISBN:9781337399944
Author:Michael A. Seeds
Publisher:Cengage Learning
Foundations of Astronomy (MindTap Course List)
Physics
ISBN:9781337399920
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning