   # Red light with a wavelength of 715.5 nm and violet light with a wavelength of 412.5 nm are used simultaneously in a double-slit experiment. The first maximum of the violet light is 1.975 mm from the central maximum. What is the distance between the central maximum and the first maximum of the red light? ### Physics for Scientists and Enginee...

1st Edition
Katz + 1 other
Publisher: Cengage Learning
ISBN: 9781133939146

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

1st Edition
Katz + 1 other
Publisher: Cengage Learning
ISBN: 9781133939146
Chapter 35, Problem 22PQ
Textbook Problem
1 views

## Red light with a wavelength of 715.5 nm and violet light with a wavelength of 412.5 nm are used simultaneously in a double-slit experiment. The first maximum of the violet light is 1.975 mm from the central maximum. What is the distance between the central maximum and the first maximum of the red light?

To determine

The distance between the central maximum and the first maximum of the red light.

### Explanation of Solution

Write the expression for the path difference for bright fringes in young’s double slit experiment.

dsinθn=nλsinθn=nλd (I)

Here, λ is the wavelength of microwaves, d is the separation between two slits and n is the order of the fringe.

Calculate the angle made by a particular interference fringe on the screen from the central maximum.

tanθn=ynx (II)

Here, yn is the distance of the particular fringe from the central maximum, θn is the angle made by the nth fringe and x is the distance from slits to the screen.

For small angle approximation, tanθsinθ.

Substitute nλd for tanθ in equation (II).

nλd=ynxyn=nλxd (III)

Write the equation for the distance between central maximum and the first maximum for the violet light.

yViolet1=(1)λvioletxdd=λvioletyViolet1 (IV)

Write the equation for the distance between central maximum and the first maximum for the red light

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
A temperature of 162F is equivalent to what temperature in kelvins? (a) 373 K (b) 288 K (c) 345 K (d) 201 K (e)...

Physics for Scientists and Engineers, Technology Update (No access codes included)

Fat breakdown without carbohydrate causes ketones to build up in the tissues and blood and be excreted in the u...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Name the following compounds. a Na2SO4 b Na3N c CuCl d Cr2O3

General Chemistry - Standalone book (MindTap Course List) 