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Physics for Scientists and Enginee...

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Publisher: Cengage Learning
ISBN: 9781133939146

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Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

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

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Chapter 35 Solutions

Physics for Scientists and Engineers: Foundations and Connections
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Ch. 35 - The first bright fringe of an interference pattern...Ch. 35 - In Youngs double-slit experiment, the positions of...Ch. 35 - A student shines a red laser pointer with a...Ch. 35 - Monochromatic light is incident on a pair of slits...Ch. 35 - In a double-slit experiment, the wavelength of...Ch. 35 - In a Youngs double-slit experiment with microwaves...Ch. 35 - A beam from a helium-neon laser with wavelength...Ch. 35 - The wavelength of light emitted by a particular...Ch. 35 - The wavelength of light emitted by a particular...Ch. 35 - The wavelength of light emitted by a particular...Ch. 35 - Light from a sodium vapor lamp ( = 589 nm) forms...Ch. 35 - A In a Youngs double-slit experiment with two...Ch. 35 - When a Youngs double-slit experiment is carried...Ch. 35 - After shining a red laser pointer through a...Ch. 35 - Susan designs a double-slit experiment that uses...Ch. 35 - In a Youngs double-slit experiment,...Ch. 35 - Two slits separated by 0.130 mm are illuminated by...Ch. 35 - 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Light of wavelength 515 nm is incident on two...Ch. 35 - A Two slits are separated by distance d and each...Ch. 35 - Suppose you want exactly 11 bright fringes inside...Ch. 35 - Two very small identical lightbulbs are connected...Ch. 35 - If you spray paint through two slits, what pattern...Ch. 35 - Light of wavelength 570.0 nm incident on a single...Ch. 35 - Much of this chapter is devoted to Youngs...Ch. 35 - A screen is located 2.0 m from a single slit of...Ch. 35 - The two slits of a double-slit apparatus each have...Ch. 35 - The two slits of a double-slit apparatus each have...Ch. 35 - A single slit with width 0.314 mm is illuminated...Ch. 35 - An exterior sliding door of a building 1.20 m in...Ch. 35 - A single slit of width w is illuminated by light...Ch. 35 - Monochromatic light incident on a slit of width...Ch. 35 - When you arrive at a concert, you are dismayed to...Ch. 35 - A narrow slit is illuminated with light of...Ch. 35 - Sound with a wavelength of 2.29 m is incident on...Ch. 35 - 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