Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 36: Q68P (page 1113)

If first-order reflection occurs in a crystal at Bragg angle3.4°, at what Bragg angle does second-order reflection occur from the same family of reflecting planes?

Short Answer

Expert verified

The angle will be 6.8 degrees.

Step by step solution

01

Introduction of diffraction

Diffraction is a phenomena in which the interference or the bending of waves occurs around the corners of the opening or obstacle through or on which it strikes.

The diffraction formula is following,

nλ=2dsinθλ=wavelengthd=spacingθ=bragg anglen=order of diffraction

02

Step 2: Identification of the given data

The bragg angle is, θ1=3.4°.

03

Determination of the Bragg angle at which second order reflection

From the given relationship of the wavelengths the angle will be,

2dsinθ22dsinθ1=2λ1λsinθ2=2sinθ1

Substitute all the value in the above equation.

sinθ2=2×sin3.4°sinθ2=0.1186θ2=sin-10.1186θ2=6.80

Hence the angle is,6.80.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

For the situation in Questions 9 and Fig. 1, if instead we increased the grating spacing, would (a) the half-widths of the lines and (b) the separation of the lines increase, decrease, or remain the same? (c) Would the lines shift to the right, shift to the left, or remain in place?

A source containing a mixture of hydrogen and deuterium atoms emits red light at two wavelengths whose mean is 656.3 nm and whose separation is 0.180 nm. Find the minimum number of lines needed in a diffraction grating that can resolve these lines in the first order.

Question:If someone looks at a bright outdoor lamp in otherwise dark surroundings, the lamp appears to be surrounded by bright and dark rings (hence halos) that are actually a circular diffraction pattern as in Fig. 36-10, with the central maximum overlapping the direct light from the lamp. The diffraction is produced by structures within the cornea or lens of the eye (hence entoptic). If the lamp is monochromatic at wavelength 550nm and the first dark ring subtends angular diameter 2.5o in the observer’s view, what is the (linear) diameter of the structure producing the diffraction?

A single slit is illuminated by light of wavelengths λa and λb, chosen so that the first diffraction minimum of the λacomponent coincides with the second minimum of the λbcomponent. (a) If λb=350nm , what is λa? For what order number mb (if any) does a minimum of the λb component coincide with the minimum of the λa component in the order number (b) role="math" localid="1663142824281" ma=2 and (c) ma=3?

A diffraction grating having is illuminated with a light signal containing only two wavelengths and . The signal in incident perpendicularly on the grating. (a) What is the angular separation between the second order maxima of these two wavelengths? (b) What is the smallest angle at which two of the resulting maxima are superimposed? (c) What is the highest order for which maxima of both wavelengths are present in the diffraction pattern?
See all solutions

Recommended explanations on Physics Textbooks

Dynamics

Read Explanation

Wave Optics

Read Explanation

Fluids

Read Explanation

Medical Physics

Read Explanation

Oscillations

Read Explanation

Electric Charge Field and Potential

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free