An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 7.4, Problem 38P
To determine
The quantitative plot of the function
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
6.1.5. Radiation has been detected from space that is characteristic
of an ideal radiator at T = 2.728 K. (This radiation is a relic of the
Big Bang at the beginning of the universe.) For this temperature, at
what wavelength does the Planck distribution peak? In what part of
the electromagnetic spectrum is this wavelength?
%3D
·Shown here is the visible part of the spectrum of some gas. There are 11 lines. There could be
6.
more, they just aren't in the wavelength range of the spectrum. The wavelength increases toward the
right. :..
de
f
gh
k
(a) Which line or lines correspond(s) to the two closest spaced energy levels? Explain.
(b) Which line or lines correspond(s) to the two farthest spaced energy levels? Explain.
(c) What is the minimum number of energy levels in an atom of the gas that could produce the lines in
this spectrum? Explain.
A dust particle of 1.0 μm diameter and 10−15 kg mass is confined within a narrow box of 10.0 μm length. Planck’s constant is 6.626 × 10−34 J ∙ s. What is the range of possible velocities for this particle?
What is the range of possible velocities for an electron confined to a region roughly the size of a hydrogen atom?
Chapter 7 Solutions
An Introduction to Thermal Physics
Ch. 7.1 - Prob. 1PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Show that when a system is in thermal and...Ch. 7.1 - Prob. 7PCh. 7.2 - Prob. 8PCh. 7.2 - Prob. 9PCh. 7.2 - Prob. 11PCh. 7.2 - Prob. 12PCh. 7.2 - Prob. 13P
Ch. 7.2 - Prob. 14PCh. 7.2 - Prob. 15PCh. 7.2 - Prob. 16PCh. 7.2 - Prob. 17PCh. 7.2 - Prob. 18PCh. 7.3 - Prob. 19PCh. 7.3 - Prob. 20PCh. 7.3 - Prob. 21PCh. 7.3 - Prob. 22PCh. 7.3 - Prob. 24PCh. 7.3 - Prob. 25PCh. 7.3 - Prob. 26PCh. 7.3 - Prob. 29PCh. 7.3 - Prob. 32PCh. 7.3 - Prob. 33PCh. 7.3 - Prob. 34PCh. 7.4 - Prob. 37PCh. 7.4 - Prob. 38PCh. 7.4 - Prob. 39PCh. 7.4 - Prob. 40PCh. 7.4 - Prob. 41PCh. 7.4 - Prob. 42PCh. 7.4 - Prob. 43PCh. 7.4 - Prob. 44PCh. 7.4 - Prob. 45PCh. 7.4 - Prob. 46PCh. 7.4 - Prob. 47PCh. 7.4 - Prob. 48PCh. 7.4 - Prob. 49PCh. 7.4 - Prob. 50PCh. 7.4 - Prob. 51PCh. 7.4 - Prob. 52PCh. 7.4 - Prob. 53PCh. 7.4 - Prob. 54PCh. 7.4 - Prob. 55PCh. 7.4 - Prob. 56PCh. 7.5 - Prob. 57PCh. 7.5 - Prob. 58PCh. 7.5 - Prob. 59PCh. 7.5 - Prob. 60PCh. 7.5 - The heat capacity of liquid 4He below 0.6 K is...Ch. 7.5 - Prob. 62PCh. 7.5 - Prob. 63PCh. 7.5 - Prob. 64PCh. 7.6 - Prob. 65PCh. 7.6 - Prob. 66PCh. 7.6 - Prob. 67PCh. 7.6 - Prob. 68PCh. 7.6 - If you have a computer system that can do...Ch. 7.6 - Prob. 70PCh. 7.6 - Prob. 71PCh. 7.6 - Prob. 72PCh. 7.6 - Prob. 73PCh. 7.6 - Prob. 75P
Knowledge Booster
Similar questions
- The velocity of an electron is measured to a precision of 62 × 10-³ m/s. What is the minimal uncertainty to which its position can be measured? Please give your answer in units of mm, accurate to one decimal place. I.e, the answer you should enter should have the form: XX.X mm. Answer:arrow_forwardAn atom of iron has a radius of 156. pm and the average orbital speed of the electrons in it is about ×5.7*10^7 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of iron. Write your answer as a percentage of the average speed, and round it to 2 significant digits.arrow_forward3. The equation 1.45 in our textbook says that the de Broglie wavelength as a function of temperature is given by 1 Assuming the accepted accuracy for h, R, and m are very high, what is the V3MRT maximum uncertainty in the de Broglie wavelength if AT is the uncertainty in temperature?arrow_forward
- A blackbody is an object with a radiation spectrum that is dependent solely on its tempera- ture. A blackbody spectrum (or spectral radiancy curve) is described by the Planck Radiation Law. (a) i. Sketch the spectral radiancy curves for blackbodies with temperatures of T = 4000 K and T = 6000 K, respectively. Describe the main differences between the two curves in terms of the appropriate physical laws defined as a function of tempera- ture. ii. What is the wavelength at peak intensity for each blackbody? State the part of the electromagnetic spectrum to which each wavelength belongs. (b) Use the Planck Radiation Law to determine the power radiated per unit area between the wavelengths A 500 nanometres and λ = 503 nanometres for the T 6000 K blackbody. What fraction of the blackbody's radiancy lies in this wavelength range? =arrow_forwardDetermine the maximum wavelength of thephoton that hydrogen in the excited stateni = 6 can absorb. The energy of the groundstate of hydrogen is −13.6 eV, the speed oflight is 2.99792 × 10^8 m/s and Planck’s constant is 6.62607 × 10^−34 J · s.Answer in units of nm. What would be the next smaller wavelengththat would work?Answer in units of nm.arrow_forwardIf the radius of a calcium ion is 0.19 nm, how much energy does it take to singly ionize it? Give your answer in electron-volts (eV) with precision 0.1 eV. Give your answer to 2 significant digits.arrow_forward
- An infrared satellite measures outgoing radiation that leaves Earth's surface through an atmospheric window. The observed spectral irradiance at a wavelength of 10 μm is 2.199×107 W m-2 m-1. What is the temperature of the surface? Give your answer in K.arrow_forwardA sphere has a radius of 2 80x102 m. This perfectly emitting sphere glows an orange-ish color and is found to have a peak black-body wavelength of 770. nm. Answer the five parts below, using three significant figures as appropriate Part A-What is the temperature, T, of the sphere in Kelvin?arrow_forwardA student in a physics laboratory observes a hydrogen spectrum with a diffraction grating for the purpose of measuring the wavelengths of the emitted radiation, hr the spectrum, she observes a yellow line and finds its wavelength to be 589 nm. (a) Assuming that this is part of the Balmer series, determine the principal quantum number of the initial state, (b) What is unreasonable about this result? (c) Which assumptions are unreasonable 01 inconsistent?arrow_forward
- a. Conceptually, discuss the particle-wave duality of light. Discuss the implications of this in combination with the de Broglie (pronounced “de Broy”) equation. b. The electron of a hydrogen atom is usually no further than 1.0 Å from the proton. We can therefore say the upper limit of the radius of an isolated hydrogen atom is roughly 1.0 Å. How does the de Broglie wavelength of the electron compare to this radius? (The velocity of an electron in the first principal energy level is about 2.2 x 106 m/s). Explain why wave-particle duality is so important for quantum mechanics, yet not required in macroscopic systems that are well described by classical mechanics. c. Comment as to whether neutrons with velocity 4.14 x 103 m/s may be used to determine structures of molecules in a diffraction-based experiment. You may consider the relevant distance between atoms in molecules to be on the order of 1 Å.arrow_forward2.1. Find the de Broglie wavelength of the following particles: (i) an electron in a semiconductor having average thermal velocity at T = 300 K and an effective mass of me = amo, where a is a constant, (ii) a helium atom having thermal energy at T = 300 K, (iii) an a-particle (He4 nucleus) of kinetic energy 10 MeV.arrow_forwardQuestion A7 The intensity of the emitted radiation by a star is at a maximum at a wavelength of 78.9 nm. a) Calculate the surface temperature of the star. b) Calculate the ratio of the intensity radiated at 65.0 nm to the maximum intensity. Assume that the star radiates like an ideal blackbody.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning