An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 7.4, Problem 38P
To determine
The quantitative plot of the function
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Consider an electron in an infinite potential well size of a=0.1 nm. What is the ground energy of the electron? What is the energy required to put the electron at the third energy level?Calculate the wavelength of the photon that would provide this required energy? (Planck’s constant =6.6x10-34 J.s, electron mass = 9,11x10-31 kg)
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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
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- J 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_forwardImagine 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?arrow_forwardTo “see” such an orbiting electron by using a light microscope to measure the electron’s presumed orbital position with a precision of 10 pm (1 p = 1 pico = 10^-12), (a) What would be the photon energy of this light? (b) How much energy would such a photon impart to an electron in a head-on collision?arrow_forward
- For a temperature of 5800 K (the sun’s surface temperature), fi nd the wavelength for which the spectral distribution calculated by the Planck and RayleighJeans results differ by 5%.arrow_forwardThe quantum-mechanical treatment of the hydrogen atomgives the energy, E, of the electron as a function of the principal quantum number, n:E=-h²/8π²mₑ²aₒ²n² (n=123...) where his Planck’s constant, meis the electron mass, and a0 is 52.92X10⁻¹² =-m.(a) Write the expression in the form E(constant)=-(constant)1/n² , evalu-ate the constant (in J), and compare it with the corresponding expression from Bohr’s theory.(b) Use the expression to find ΔE between n=2 and n=3.(c) Calculate the wavelength of the photon that corresponds tothis energy change. Is this photon seen in the hydrogen spectrumobtained from experimentarrow_forwardUse the thermodynamic identity ?? = ??? − ??? to show that the energy density of a photon gas is proportional to ?arrow_forward
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