Optics Homework Part II

Chapter 24-25

50 points

24.1 Young’s Double-Slit Experiment

1, 2, 3, 4, 6, 11, 12, 13, 19. AND AP Physics Free Response Question

11: l = y_nd/nL solve for L

19: set 3^rd order of l = 600 nm equal to the 4^th order of l₂

24.2 Thin-Film Interference

20, 21, 25, 31, 33

25: ln = l/n b) first reflection has 180^o phase shift. You are going from a low n to a high (dense) n. Think Slinky!)

31: a) DL = 2t = l/2 solve for t. b) constructive for transmission is the same as destructive for reflection

33: 2t = (m-1/2)l where d = t

24.3 Diffraction

34, 35, 37, 39, 40, 41, 45, 52

39: b) width of side = 1/2 of central

40: dsinq= nl

41: remember maximums use “m” and minimums use “n”.

b) v = fl where v = c = 3 x 10⁸ m/s

24.4 Polarization

53, 54, 55, 57, 62, 63, 66

63: tanq_p = n where q_p=q₁. Remember that n₁sinq₁ = n₂sinq₂. find q₂ where n₁ = 1 (air) and n₂ = 1.22

66: q_p = tan^-1 (n₂/n₁)

Chapter 25

25.1 Human Eye

4, 8, 12

12: 1/f = 1/d_o 1/d_i where d_o = 25 cm d_i = -80 cm

25.2 Microscopes

22, 23, 29, 36, 41

36: M_total = (25/L)/(f_of_e)

41: d_i = d_of/d_o-f. b) m = (25/f)(1-d/D)+25/D

25.3 Telescopes

43, 44, 47, 51 (and 51 is the last stinkin’ homework problem you have to do in AP Physics!!!!!!! J)

47: m = f_o/f_e b) L = f_o+f_e

51: b) resolution depends on the diameter of the objective lens

Answers

Chapter 24:

2: a

4: No interference fringes, just uniform light intensity

6: no. Have you ever tried it?

12: 1.2 cm

20: a

34: b

40: 61.6^o

52: yes, because at that angle, there is a minimum.

54: a

62: 55^o

66: 50.3^o

Chapter 25:

4: inverted

8: diverging

12: a) converging b) 36 cm

22: d

36: 333 x

44: d