Simple Nature - Light and Matter

or Vf Vi = ( Pf Pi )− 1 ≈ 103. Since the volume is proportional to the cube of the linear dimensions, the growth in radius is ab ...

Solutions for chapter 7 Page 461, problem 17: (a) Plugging in, we find √ 1 −w 1 +w = √ 1 −u 1 +u √ 1 −v 1 +v . (b) First let’s s ...

Page 464, problem 32: To make the units make sense, we need to make sure that both sides of the≈sign have the same units, and al ...

Page 658, problem 16: By symmetry, the field is always directly toward or away from the center. We can therefore calculate it al ...

backward-time universe, all the momenta are reversed, but that just negates both sides of the equation, so momentum is still con ...

Page 828, problem 6: (a) The rays all cross at pretty much the same place, given the accuracy with which we can draw them. (b) I ...

(b) Now the object distance is greater than the focal length, so the image is real. (c),(d) A diverging mirror can only make vir ...

Summarizing and systematizing these observations, we can say that for a ray that enters the lens at the center, where the surfac ...

Page 833, problem 33: (a) See the figure below. The first refraction clearly bends it inward. However, the back surface of the l ...

gives θ= 2 tan−^1 w 2 f for the field of view. This comes out to be 39◦and 64◦for the two lenses. (b) For small angles, the tang ...

Page 839, problem 52: (a) The patterns have two structures, a coarse one and a fine one. You can look up in the book which corre ...

Although it is possible in principle to have an object so far away that it is practically at infinity, that is not possible in t ...

(b) We have (1/2)(π+π) = 0, but (1/2)π+ (1/2)π=π. Page 1008, problem 4: To do anything useful with these expressions describing ...

Page 35: 1 yd^2 ×(3 ft/1 yd)^2 = 9 ft^2 1 yd^3 ×(3 ft/1 yd)^3 = 27 ft^3 Page 41: C 1 /C 2 = (w 1 /w 2 )^4 Answers to self-checks ...

Answers to self-checks for chapter 3 Page 146: By shifting his weight around, he can cause the center of mass not to coincide wi ...

In the expression A== Fm m √ (ω^2 −ωo^2 )^2 +ω^2 oω^2 Q−^2 from page 1024, substitutingω=ωomakes the first term inside the squar ...

Page 311: (1) Not valid. The equation only applies to fluids. (2) Valid. The density of the air is nearly constant between the t ...

Page 428: Both the time axis and the position axis have been turned around. Flipping the time axis means that the roles of trans ...

Ex=− dV dx =− d dx ( kQ r ) = kQ r^2 Page 594: (a) The voltage (height) increases as you move to the east or north. If we let th ...

doubling its argument gave the argument ofz, then how can the same be true for−u? Well for example, suppose the argument ofzis 4 ...