Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 36: Q3Q (page 1107)

For three experiments, Fig.36-31 gives the parameter of Eq. 36-20 versus angle in two-slit interference using light of wavelength 500 nm. The slit separations in the three experiments differ. Rank the experiments according to (a) the slit separations and (b) the total number of two slit interference maxima in the pattern, greatest first.

Short Answer

Expert verified
  1. The rank will be A, B and C
  2. The rank will be C, B and A.

Step by step solution

01

The given data

Given for three experiments, the parameterβ of versus angleθ in two-slit interference using light of wavelength 500 nm.

The slit separations in the three experiments differ.

02

Concept and Formula used

In a double split experiment for diffraction,

β=πdλsinθ

dis slit separation , andλ is wavelength.

03

(a) Rank according to slit separation

Now, from the equation

β=πdλsinθ

It is clear that graph will be greater for larger values of d.

So Rank according to slit width (greatest first) is A, B and C.

04

(b) Rank according to total diffraction maxima

Since the wavelengths are same, the smaller slit will produce more maxima.

So, the rank will be C, B and A.

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

When monochromatic light is incident on a slit 22.0 μm wide, the first diffraction minimum lies at 1.80° from the direction of the incident light. What is the wavelength?

Light is incident on a grating at an angle c as shown in Fig. 36-49.

Show that bright fringes occur at angles θ that satisfy the equation

d(sinψ+sinθ)=mλm=0, 1, 2, 3(Compare this equation with Eq. 36-25.) Only the special caseψ=0has been treated in this chapter

A diffraction grating has resolving power R=λavgΔλ=Nm. (a) Show that the corresponding frequency range f that can just be resolved is given by ∆f=cNmλ. (b) From Fig. 36-22, show that the times required for light to travel along the ray at the bottom of the figure and the ray at the top differ by ∆t=(NdC)sinθ. (c) Show that (Δf)(Δt), this relation being independent of the various grating parameters. Assume N≫1.

In June 1985, a laser beam was sent out from the Air Force Optical Station on Maui, Hawaii, and reflected back from the shuttle Discovery as it sped by 354 km overhead. The diameter of the central maximum of the beam at the shuttle position was said to be 9.1 m, and the beam wavelength was 500 nm. What is the effective diameter of the laser aperture at the Maui ground station? (Hint: A laser beam spreads only because of diffraction; assume a circular exit aperture.)

In a two-slit interference pattern, what is the ratio of slit separation to slit width if there are 17 bright fringes within the central diffraction envelope and the diffraction minima coincide with two-slit interference maxima?
See all solutions

Recommended explanations on Physics Textbooks

Dynamics

Read Explanation

Electromagnetism

Read Explanation

Fluids

Read Explanation

Waves Physics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Modern Physics

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