Explanation 1) Concept: Determine path difference of the incidence ray and diffracted ray. The minimum path difference between adjacent rays is equal to wavelength λ . 2) Formula: ∆ x = d s i n ψ + d s i n θ 3) Given: i) incidence angle ψ ii) Diffraction angle θ iii) Grating distance d 4) Calculation: Consider two rays from the given figure; the path difference is d s i n ψ for the incidence ray and d s i n θ for the diffracted wave. Hence total path difference ∆ x between adjacent rays can be determined as ∆ x = d s i n ψ + d s i n θ The minimum path difference occurring at adjacent bottom and top rays is of wavelength λ

11th Edition

ISBN: 9781119459170

Author: Halliday

Publisher: WILEY

See similar textbooks

Concept explainers

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible ligh…

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.

Question

Chapter 36, Problem 81P

To determine

To show:

The bright fringes occurring at angles θ that satisfy the equation d(sin⁡ψ+sin⁡θ)=mλ

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 36, Problem 80P

Chapter 36, Problem 82P

Students have asked these similar questions

You have just bought a new bicycle. On your first riding trip, it seems that the bike comes to rest relatively quickly after you stop pedaling and let the bicycle coast on flat ground. You call the bicycle shop from which you purchased the vehicle and describe the problem. The technician says that they will replace the bearings in the wheels or do whatever else is necessary if you can prove that the frictional torque in the axle of the wheels is worse than -0.02 N . m. At first, you are discouraged by the technical sound of what you have been told and by the absence of any tool to measure torque in your garage. But then you remember that you are taking a physics class! You take your bike into the garage, turn it upside down and start spinning the wheel while you think about how to determine the frictional torque. The driveway outside the garage had a small puddle, so you notice that droplets of water are flying off the edge of one point on the tire tangentially, including drops that…

2nd drop down is "up" or "down"

Romeo (79.0 kg) entertains Juliet (57.0 kg) by playing his guitar from the rear of their boat at rest in still water, 2.70 m away from Juliet, who is in the front of the boat. After the serenade, Juliet carefully moves to the rear of the boat (away from shore) to plant a kiss on Romeo's cheek. (a) How far (in m) does the 81.0 kg boat move toward the shore it is facing? m (b) What If? If the lovers both walk toward each other and meet at the center of the boat, how far (in m) and in what direction does the boat now move? magnitude m direction ---Select---

Chapter 36 Solutions

FUND.OF PHYSICS(LL)-PRINT COMP-W/ACCESS

Ch. 36 - You are conducting a single-slit diffraction...Ch. 36 - In a single-slit diffraction experiment, the top...Ch. 36 - For three experiments, Fig. 36-30 gives the...Ch. 36 - For three experiments, Fig. 36-31 gives versus...Ch. 36 - Figure 36-32 shows four choices for the...Ch. 36 - Prob. 6Q Ch. 36 - At night many people see rings called entoptic...Ch. 36 - a For a given diffraction grating, does the...Ch. 36 - Figure 36-33 shows a red line and a green line of...Ch. 36 - For the situation of Question 9 and Fig. 36-33, if...

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 bright fringes occurring at angles θ that satisfy the equation d ( sin ⁡ ψ + sin ⁡ θ ) = m λ

Concept explainers

To show: The bright fringes occurring at angles θ that satisfy the equation d(sin⁡ψ+sin⁡θ)=mλ

Want to see the full answer?

Chapter 36 Solutions

To show:

The bright fringes occurring at angles θ that satisfy the equation d(sin⁡ψ+sin⁡θ)=mλ