Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 3, Problem 5P
(a)
To determine
The general relationship between temperature and
(b)
To determine
The numerical value for the Wien’s constant.
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Imagine another universe in which the value of Planck’s constant is 0.0663 J . s, but in which the physical laws and all other physical constants are the same as in our universe. In this universe, two physics students are playing catch. They are 12 m apart, and one throws a 0.25 kg ball directly toward the other with a speed of 6.0 m/s. (a) What is the uncertainty in the ball’s horizontal momentum, in a direction perpendicular to that in which it is being thrown, if the student throwing the ball knows that it is located within a cube with volume 125 cm3 at the time she throws it? (b) By what horizontal distance could the ball miss the second student?
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?
How would you be able to find the total power available from the Sun using Planck's formulation (assuming that the Sun is a blackbody model)?
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
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- Which of the following statements about a black body are true? Select one or more: a.The spectrum of the cosmic background radiation corresponds with great accuracy to the radiation of a black body at a temperature of 2.7 K. b.A black body absorbs all the radiation that hits it, and emits no radiation at all. c.According to Planck's radiation law (black body distribution), the wavelength corresponding to the maximum energy density of the radiation decreases (and the frequency increases) as the temperature increases. d.A black body reflects all the radiation that hits it, and absorbs no radiation at all.arrow_forwardGiven a photon with a wavelength of 520 nm, find the energy and momentum of the photon. What equivalent mass would a particle have if all the energy of the photon were converted to mass? *I ask that the answer be written with clear and readable handwriting or typed*arrow_forwardAssuming that the smallest measurable wavelength in an experiment is 0.730 fm , what is the maximum mass of an object traveling at 465 m⋅ s^−1 for which the de Broglie wavelength is observable? ?=arrow_forward
- Assuming that the smallest measurable wavelength in an experiment is 0.650 fm , what is the maximum mass of an object traveling at 815 m⋅s−1 for which the de Broglie wavelength is observable?arrow_forwardConsider A Relativistic Particle,whose de-Broglie wavelength Is λR . If λc represents Compton wavelength, Then Find The Ratio λR/λc ?arrow_forwardGive proof that the violation of the Kelvin–Planck statement leads to the violation of the Clausius statement.arrow_forward
- Imagine an alternate universe where the value of the Planck constant is 6.62607x10−4J·s. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? A grain of sand with a mass of 135 mg, 515. µm wide, moving at 4.00 mm/s. An airplane with a mass of 1.75 x 104 kg, 15.0 m long, moving at 2300. km/h. An atom with a mass of 1.0 x 10-27 kg, 137. pm wide, moving at 394. m/s. A ball with a mass of 215. g, 4.1 cm wide, moving at 35.0 m/s.arrow_forwardPlanck hypothesized that the blackbody radiation has discrete energy. Calculate the energy of a photon in Joule and electron volts. The frequency of that photon is 50 MHz. a) 2.608 x 10-7J and 3.315 x 10-26 eV b) 3.315 x 10-26 J and 2.608 x 10-7 eV c) 2.608 x 10-26J and 3.315 x 10-7eV d) 3.315 x 10-7J and 2.608 x 10-26 eVarrow_forwardWhich statement is TRUE about Einstein’s explanation regarding the photoelectric effect? I. The effect is not observed below a certain cut-off frequency since the photon energy must be greater than or equal to the work function.II. The maximum KE depends only on the frequency and the work function.III. The maximum KE depends only on the frequency, work function and intensity of light.IV. The maximum KE increases with increasing frequency. a) I, II and IV b) I and III c) I, II and III d) I and IIarrow_forward
- A 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_forwardAs noted in the chapter, the cosmic microwave background radiation fits the Planck equation for a blackbody at 2.7 K. (a) What is the wavelength at the maximum intensity of the spectrum of the background radiation? (b) What is the frequency of the radiation at the maximum? (c) What is the total power incident on Earth from the background radiationarrow_forwardUV radiation having a wavelength of 84 nm falls on gold metal, to which electrons are bound by 4.82 eV. What is the maximum velocity of the ejected photoelectrons? No need to use relativistic formulas in this case, so you can just use the standard formula KE =12mv2. The correct answer is 1.87E6 m/s how do I get that?arrow_forward
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