Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 11.3, Problem 11.10P
To determine
At room temperature, whether spontaneous emission or thermally stimulated emission dominates below and above
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Consider a black body of surface area 22.0 cm² and temperature 5700 K.
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Chapter 11 Solutions
Introduction To Quantum Mechanics
Ch. 11.1 - Prob. 11.1PCh. 11.1 - Prob. 11.2PCh. 11.1 - Prob. 11.3PCh. 11.1 - Prob. 11.4PCh. 11.1 - Prob. 11.5PCh. 11.1 - Prob. 11.6PCh. 11.1 - Prob. 11.7PCh. 11.1 - Prob. 11.8PCh. 11.1 - Prob. 11.9PCh. 11.3 - Prob. 11.10P
Ch. 11.3 - Prob. 11.11PCh. 11.3 - Prob. 11.12PCh. 11.3 - Prob. 11.13PCh. 11.3 - Prob. 11.14PCh. 11.3 - Prob. 11.15PCh. 11.3 - Prob. 11.16PCh. 11.4 - Prob. 11.17PCh. 11.5 - Prob. 11.18PCh. 11.5 - Prob. 11.19PCh. 11.5 - Prob. 11.20PCh. 11.5 - Prob. 11.21PCh. 11.5 - Prob. 11.22PCh. 11 - Prob. 11.23PCh. 11 - Prob. 11.24PCh. 11 - Prob. 11.25PCh. 11 - Prob. 11.26PCh. 11 - Prob. 11.27PCh. 11 - Prob. 11.28PCh. 11 - Prob. 11.29PCh. 11 - Prob. 11.30PCh. 11 - Prob. 11.31PCh. 11 - Prob. 11.33PCh. 11 - Prob. 11.35PCh. 11 - Prob. 11.36PCh. 11 - Prob. 11.37P
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- The intensity of blackbody radiation peaks at a wavelength of 583 nm. (a) What is the temperature (in K) of the radiation source? (Give your answer to at least 3 significant figures.) K (b) Determine the power radiated per unit area (in W/m2) of the radiation source at this temperature. W/m?arrow_forwardThe two spherical bodies A (radius 6 cm) and B (radius 18 cm) are at temperatures T1 and T2, respectively. The maximum intensity in the emission spectrum of A is at 500 nm and in that of B is at 1500 nm. Considering them to be black bodies, what will be the ratio of the rate of total energy radiated by A to that of B?arrow_forwardTwo stars, both of which behave like ideal blackbodies, ra- diate the same total energy per second. The cooler one has a surface temperature T and a diameter 3.0 times that of the hotter star. (a) What is the temperature of the hotter star in terms of T ? (b) What is the ratio of the peak-intensity wavelength of the hot star to the peak-intensity wavelength of the cool star?arrow_forward
- At a wavelength of 0.7 mm, the black body emissive power is equal to 108 W/m3. Determine (a) the temperature of the blackbody and (b) the total emissive power at this temperature.arrow_forwardA cavity radiator has its maximum spectral radiance at a wavelength of 6.8×10 -7 m. If the body is heated so that T/T 0 = 2.2, at what wavelength (in nm) will the spectral radiance have its new maximum value? Wien's constant b = 2.897 x 10 3 m K. Answer:arrow_forwardOutline the steps leading to the formula for the number of photons with angular fre- quencies between w and w + dw in blackbody radiation at a temperature T: w? dw V n(w)dw = 2 x 272c3 ehw/kBT Show that n(w) has a peak at a frequency given by w = 1.59kgT/h. Show further that the spectral energy densities ux and uw peak at Amax = hc/(4.97KBT) and wmax = 2.82KBT/ħ, respectively.arrow_forward
- Assume we have a material with a work function of 4.94 eV. What is the maximum speed, in meters per second, of electrons ejected from this metal by photons of light with wavelength 75 nm?arrow_forwardJ 6 Calculate the proportion of energy emitted by a black body radiator at T=5000 K in two bands of width 10 nm, once centered at 500 nm (visible light) and the other at 5000 nm (infrared light).arrow_forwardWhen aluminum is bombarded with electrons accelerated through a potential difference ΔV, its x-ray spectrum contains emission peaks at 1.49 keV and 1.56 keV. Find the minimum value of ΔV in kV required to produce both of these peaks. Apply conservation of energy. answer in kVarrow_forward
- a thermal neutron has a speed v at temperature T=300K and kinetic energy m0v^2/2=3kT/2.calculate its de Broglie wavelength .state whether a beam of these neutrons could be diffracted by a crystal and why?arrow_forwardThe Red Supergiant Betelgeuse. The star Betelgeuse has a surface temperature of 3000 K and is 600 times the diameter of our sun. (If our sun were that large, we would be inside it!) Assume that it radiates like an ideal blackbody. (a) If Betelgeuse were to radiate all of its energy at the peak intensity wavelength, how many photons per second would it radiate? (b) Find the ratio of the power radiated by Betelgeuse to the power radiated by our sun (at 5800 K).arrow_forwardFor 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_forward
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