Modern Physics For Scientists And Engineers
Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 1, Problem 1.53P
To determine

(a)

To Prove:

When light source is moving obliquely towards Q, the observed frequency is fobs=fsce(1βcosθ)γ .

To determine

(b)

To Prove:

When the source is moving direct head on towards the observer, the observed frequency is fobs=fsce(1β)γ .

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1.16. Establish thermodynamically the formulae (F). V = S and v (3) ₁² V T = N. Express the pressure P of an ideal classical gas in terms of the variables μ and T, and verify the above formulae.
(a) Express the spherical unit vectors ê, ê, in terms of the Cartesian unit vectors ✰, ŷ, 2 (that is, derive Eq. 1.64 of Griffiths). Also work out the inverse formulas, giving ✰, ŷ, 2 in terms of f, 0, $ (and 0, $). Calculate af/00 and af/ap, and express them in terms of spherical unit vectors. (b) Express the cylindrical unit vectors ŝ, , 2 in terms of the Cartesian unit vec- tors î, ŷ, 2 (that is, derive Eq. 1.75 of Griffiths). Also work out the inverse formulas, giving x, ŷ, 2 in terms of ŝ, $, 2 (and ). Show that af/0 = $.
A hinged rigid bar of length l is connected by two springs of stiffnesses K1 and  K2 and is subjected to a force F as shown in Fig. 1.33(a). Assuming that the angular displacement of the bar (θ) is small, find the equivalent spring constant of the system that relates the applied force F to the resulting displacement x.
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