Physical Chemistry Third Edition

622 14 Classical Mechanics and the Old Quantum Theory In addition to the base units, there are a number of derived units. Thenew ...

14.2 Classical Mechanics 623 on the floor. The floor, which hardly moves at all, throws you into the air because of Newton’s thi ...

624 14 Classical Mechanics and the Old Quantum Theory be analyzed more easily. Let the horizontal coordinatexof the mass equal z ...

14.2 Classical Mechanics 625 division byeλtgives thecharacteristic equation λ^2 − k m (14.2-20) There are two solutions to this ...

626 14 Classical Mechanics and the Old Quantum Theory Exercise 14.2 Show that the functions in Eq. (14.2-25) and Eq. (14.2-26) c ...

14.2 Classical Mechanics 627 Since a force is given as a derivative of a potential energy, a constant can be added to a potentia ...

628 14 Classical Mechanics and the Old Quantum Theory x 1 x 2 massm 2 spring massm 1 centerof mass xc x Figure 14.4 A Second Sys ...

14.3 Classical Waves 629 14.6Assume that a particle of massmmoves only in the zdirection and is subject to a constant force give ...

630 14 Classical Mechanics and the Old Quantum Theory (a) t 1 : t 2 : t 3 : t 4 : (b) A traveling wave:t 1 : t 2 : t 3 : t 4 : A ...

14.3 Classical Waves 631 wave nature of light was established experimentally when interference and diffraction of light were obs ...

632 14 Classical Mechanics and the Old Quantum Theory These derivatives are ordinary derivatives sinceηandφare functions of one ...

14.3 Classical Waves 633 whereB,D,F, andGare constants. The product of the coordinate factorφand the time factorηis a function t ...

634 14 Classical Mechanics and the Old Quantum Theory The velocity att0is νz(0)z 0 (nπc L ) sin (nπx L ) (14.3-19) Our second ...

14.3 Classical Waves 635 1.5 1.0 Wave displacement 0.5 0.0 2 0.5 2 1.0 2 1.5 0.0 0.2 0.4 0.6 x/L (a) 0.8 1.0 1.5 1.0 Wave displa ...

636 14 Classical Mechanics and the Old Quantum Theory 1 0 n 53 n 52 n 51 Sum of 3 harmonics 0.0 0.2 0.4 x/L (a) 0.6 0.8 1.0 Wave ...

14.3 Classical Waves 637 We can find the speed of a traveling wave by following the motion of one of the nodes. At timet0 there ...

638 14 Classical Mechanics and the Old Quantum Theory so thatνtct/λ,or ν c λ (14.3-34) Equation (14.3-34) is the general relat ...

14.3 Classical Waves 639 x y z %z *x Figure 14.9 The Electric and Magnetic Fields in an Electromagnetic Wave. visible light, inf ...

640 14 Classical Mechanics and the Old Quantum Theory What would you have to do to produce the correct pitch at a different temp ...

14.4 The Old Quantum Theory 641 atomic number in 1913, showing that each element was characterized by the charge on its nucleus. ...