The Cosmic Perspective (8th Edition)
The Cosmic Perspective (8th Edition)
8th Edition
ISBN: 9780134059068
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 1, Problem 3VSC
To determine

The distance of the Sun from the Earth on the scale of (1cm=4000km)

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A piece of silicon semiconductor has length L=0.01cm and cross-section in a square shape with an area of A=5×10−4cm2 . The semiconductor is doped with 1012cm−3 Phosphorus atoms and 1017cm−3 Boron atoms. An external electric field E=1.5×104N/C is applied to the silicon piece along the length direction, through the cross section. What is the total current in the silicon at T=300K? Assume the mobility of silicon is 1400cm2V−1s−1 for electrons and 450cm2V−1s−1 for holes, respectively. Assume the intrinsic carrier concentration in silicon is 1010cm−3 . Give your answer in mA, rounded to 3 significant figures. Just enter the number, nothing else.
An impurity with a charge of 2e is placed in a three-dimensional metal. Assume that the Friedel sum rule holds for this system, and only the scattering phase shifts from the electrons contribute to this sum (we don't need to consider ion phase shifts). This metal has a spherical Fermi surface with Fermi wave vector kF . The only degeneracy for the electrons at the Fermi surface is spin (two-fold) and angular momentum ( 2l+1 for each angular momentum l ). Ignore scattering for l>2 and assume that the scattering doesn't depend on the spin degree of freedom. Denote the scattering phase shift at the Fermi wave vector in the l -th angular momentum channel as δl(kF) . If δ0(kF)=11π31 , and δ1(kF)=π29 , what is δ2(kF)? Round your answer to three significant figures. Just enter the number, nothing else.
A pilot with a mass of 75 kg is flying an airplane at a true airspeed of 55m/s in air that is still relative to the ground. The pilot enters a coordinated turn of constant bank angle and constant altitude, and the pilot experiences an effective weight of 1471.5N normal to the wings of the plane. What is the rate of turn (in degrees per second) for the aircraft? Round your answer to three significant figures. Just enter the number, nothing else.

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The Cosmic Perspective (8th Edition)

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