Explanation The diagram is shown in figure 1. From the figure, ray 1 is incident at the first step and reflected (2) and at the second step and again reflected (3). The ray 3 has travelled a distance 2 d − d ′ farther than ray 2 when these rays reach an observer. The path length difference must be equal to an integral multiple of wavelengths for constructive interference to occur. Write the condition for the constructive difference. m λ = 2 d − d ′ (I) Here, m is an integer, λ is the wavelength and 2 d − d ′ is the path length difference between rays 2 and 3. From figure 1, it is clear that d is the hypotenuse and h is the adjacent leg of the right triangle 1. Refer to right triangle 1 in figure 1 and write the expression for cos θ . cos θ = h d Here, θ is the angle of incidence. Rewrite the above equation for d . d = h cos θ (II) Refer to right triangle 2 in figure 1 and write the expression for sin θ . sin θ = d ′ 2 d sin θ Rewrite the above equation for d ′ . d ′ = ( 2 d sin θ ) sin θ = 2 d sin 2 θ (III) Put equation (III) in equation (I)

5th Edition

ISBN: 9781260486919

Author: GIAMBATTISTA

Publisher: MCG

See similar textbooks

Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will p…

Videos

Question

Chapter 25, Problem 90P

To determine

The step height h .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 25, Problem 89P

Chapter 25, Problem 93P

Students have asked these similar questions

suggest a reason ultrasound cleaning is better than cleaning by hand?

Checkpoint 4 The figure shows four orientations of an electric di- pole in an external electric field. Rank the orienta- tions according to (a) the magnitude of the torque on the dipole and (b) the potential energy of the di- pole, greatest first. (1) (2) E (4)

What is integrated science. What is fractional distillation What is simple distillation

Chapter 25 Solutions

Physics

Ch. 25.1 - Prob. 25.1CP Ch. 25.1 - Path Difference for Destructive Interference...Ch. 25.2 - Prob. 25.2PP Ch. 25.3 - Prob. 25.3CP Ch. 25.3 - Prob. 25.3PP Ch. 25.4 - Prob. 25.4PP Ch. 25.4 - Prob. 25.5PP Ch. 25.5 - Prob. 25.5CP Ch. 25.5 - Prob. 25.6PP Ch. 25.6 - Prob. 25.7PP

Ch. 25.7 - Prob. 25.8PP Ch. 25.8 - Prob. 25.9PP Ch. 25 - Prob. 1CQ Ch. 25 - Prob. 2CQ Ch. 25 - Prob. 3CQ Ch. 25 - Prob. 4CQ Ch. 25 - Prob. 5CQ Ch. 25 - Prob. 6CQ Ch. 25 - Prob. 7CQ Ch. 25 - Prob. 8CQ Ch. 25 - Prob. 9CQ Ch. 25 - Prob. 10CQ Ch. 25 - Prob. 11CQ Ch. 25 - 12. In Section 25.3 we studied interference due to...Ch. 25 - Prob. 13CQ Ch. 25 - Prob. 14CQ Ch. 25 - Prob. 15CQ Ch. 25 - Prob. 16CQ Ch. 25 - Prob. 17CQ Ch. 25 - Prob. 18CQ Ch. 25 - Prob. 19CQ Ch. 25 - Prob. 20CQ Ch. 25 - Prob. 21CQ Ch. 25 - Prob. 1MCQ Ch. 25 - Prob. 2MCQ Ch. 25 - Prob. 3MCQ Ch. 25 - Prob. 4MCQ Ch. 25 - Prob. 5MCQ Ch. 25 - Prob. 6MCQ Ch. 25 - 7. Coherent light of a single frequency passes...Ch. 25 - Prob. 8MCQ Ch. 25 - Prob. 9MCQ Ch. 25 - Prob. 10MCQ Ch. 25 - Prob. 1P Ch. 25 - Prob. 2P Ch. 25 - Prob. 3P Ch. 25 - Prob. 4P Ch. 25 - Prob. 5P Ch. 25 - Prob. 6P Ch. 25 - Prob. 7P Ch. 25 - Prob. 8P Ch. 25 - Prob. 9P Ch. 25 - Prob. 10P Ch. 25 - Prob. 11P Ch. 25 - Prob. 12P Ch. 25 - Prob. 13P Ch. 25 - Prob. 14P Ch. 25 - Prob. 15P Ch. 25 - 16. A transparent film (n = 1.3) is deposited on a...Ch. 25 - 17. A camera lens (n = 1.50) is coated with a thin...Ch. 25 - 18. A soap film has an index of refraction n =...Ch. 25 - Prob. 19P Ch. 25 - Prob. 20P Ch. 25 - Prob. 21P Ch. 25 - Prob. 22P Ch. 25 - Prob. 23P Ch. 25 - Prob. 24P Ch. 25 - Prob. 25P Ch. 25 - Prob. 26P Ch. 25 - Prob. 27P Ch. 25 - Prob. 36P Ch. 25 - Prob. 28P Ch. 25 - Prob. 32P Ch. 25 - Prob. 29P Ch. 25 - Prob. 30P Ch. 25 - Prob. 31P Ch. 25 - Prob. 34P Ch. 25 - Prob. 33P Ch. 25 - Prob. 35P Ch. 25 - Prob. 37P Ch. 25 - Prob. 38P Ch. 25 - Prob. 39P Ch. 25 - Prob. 40P Ch. 25 - Prob. 41P Ch. 25 - Prob. 42P Ch. 25 - Prob. 43P Ch. 25 - 44. ✦ White light containing wavelengths from 400...Ch. 25 - Prob. 45P Ch. 25 - Prob. 46P Ch. 25 - 47. The central bright fringe in a single-slit...Ch. 25 - Prob. 48P Ch. 25 - Prob. 49P Ch. 25 - Prob. 50P Ch. 25 - Prob. 51P Ch. 25 - Prob. 52P Ch. 25 - Prob. 53P Ch. 25 - Prob. 54P Ch. 25 - Prob. 55P Ch. 25 - Prob. 56P Ch. 25 - Prob. 57P Ch. 25 - Prob. 58P Ch. 25 - Prob. 60P Ch. 25 - Prob. 61P Ch. 25 - Prob. 59P Ch. 25 - Prob. 62P Ch. 25 - 63. ✦ If you shine a laser with a small aperture...Ch. 25 - Prob. 64P Ch. 25 - Prob. 65P Ch. 25 - Prob. 66P Ch. 25 - Prob. 67P Ch. 25 - Prob. 68P Ch. 25 - Prob. 69P Ch. 25 - 70. Coherent green light with a wavelength of 520...Ch. 25 - Prob. 71P Ch. 25 - Prob. 72P Ch. 25 - Prob. 73P Ch. 25 - Prob. 74P Ch. 25 - Prob. 75P Ch. 25 - Prob. 76P Ch. 25 - Prob. 77P Ch. 25 - Prob. 78P Ch. 25 - Prob. 91P Ch. 25 - Prob. 79P Ch. 25 - Prob. 80P Ch. 25 - Prob. 81P Ch. 25 - Prob. 82P Ch. 25 - Prob. 83P Ch. 25 - Prob. 84P Ch. 25 - Prob. 85P Ch. 25 - Prob. 86P Ch. 25 - Prob. 87P Ch. 25 - Prob. 88P Ch. 25 - Prob. 89P Ch. 25 - Prob. 90P Ch. 25 - Prob. 93P Ch. 25 - Prob. 92P Ch. 25 - Prob. 94P Ch. 25 - Prob. 95P Ch. 25 - Prob. 96P Ch. 25 - Prob. 97P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The step height h .

Solution Summary: The diagram is shown in figure 1. The path length difference must be equal to an integral multiple of wavelengths for constructive interference to occur.

Concept explainers

Videos

The step height h .

Want to see the full answer?

Chapter 25 Solutions