BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278

Solutions

Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278
Chapter 37, Problem 18P
Textbook Problem
32 views

Three discrete spectral lines occur at angles of 10.1°, 13.7°, and 14.8° in the first-order spectrum of a grating spectrometer. (a) If the grating has 3 660 slits/cm, what are the wavelengths of the light? (b) At what angles are these lines found in the second-order spectrum?

(a)

To determine
The wavelengths of the light.

Explanation of Solution

Given info: Angles of spectral lines are 10.1° , 13.7° and 14.8° , Slits on the grating are 3600slits/cm .

The width of slit can be given as,

d=1N

Here,

N is the number of slits per length.

d is the width of the slit.

Substitute 3600slits/cm for N in the above equation,

d=13600slits/cm=(2.78×104cm)(1m100cm)=2.78×106m

The condition for first order diffraction grating can be given as,

λ=dsinθ (1)

Here,

θ is the angle of spectral line.

λ is the wavelength of light.

For the angle of 10.1° :

Substitute 2.78×106m for d , λ1 for λ and 10.1° for θ in the equation (1),

λ1=(2.78×106m)(sin10.1°)=487.52×109m=487.52nm

Thus, the wavelength of the light is 487.52nm at angle of 10

(b)

To determine
The angles for the lines in the second order spectrum.

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

Chapter 37 Solutions

Physics for Scientists and Engineers
Show all chapter solutions
add
Ch. 37 - Assume light of wavelength 650 nm passes through...Ch. 37 - What If? Suppose light strikes a single slit of...Ch. 37 - A diffraction pattern is formed on a screen 120 cm...Ch. 37 - Coherent light of wavelength 501.5 nm is sent...Ch. 37 - The objective lens of a certain refracting...Ch. 37 - Yellow light of wavelength 589 nm is used to view...Ch. 37 - What is the approximate size of the smallest...Ch. 37 - A heliumneon laser emits light that has a...Ch. 37 - To increase the resolving power of a microscope,...Ch. 37 - You are working for a new assistant professor in...Ch. 37 - Impressionist painter Georges Seurat created...Ch. 37 - Narrow, parallel, glowing gas-filled tubes in a...Ch. 37 - Consider an array of parallel wires with uniform...Ch. 37 - Three discrete spectral lines occur at angles of...Ch. 37 - A grating with 250 grooves/mm is used with an...Ch. 37 - Show that whenever white light is passed through a...Ch. 37 - Light from an argon laser strikes a diffraction...Ch. 37 - A wide beam of laser light with a wavelength of...Ch. 37 - You are working as a demonstration assistant for a...Ch. 37 - Monochromatic x-rays ( = 0.166 nm) from a nickel...Ch. 37 - The first-order diffraction maximum is observed at...Ch. 37 - You are performing research in an x-ray...Ch. 37 - Two handheld radio transceivers with dipole...Ch. 37 - Why is the following situation impossible? A...Ch. 37 - The critical angle for total internal reflection...Ch. 37 - For a particular transparent medium surrounded by...Ch. 37 - You are working in a laser laboratory, assisting...Ch. 37 - An unpolarized beam of light is incident on a...Ch. 37 - In a single-slit diffraction pattern, assuming...Ch. 37 - Laser light with a wavelength of 632.8 nm is...Ch. 37 - In water of uniform depth, a wide pier is...Ch. 37 - Two motorcycles separated laterally by 2.30 m are...Ch. 37 - The Very Large Array (VLA) is a set of 27 radio...Ch. 37 - Two wavelengths and + (with ) are incident on...Ch. 37 - Review. A beam of 541-nm light is incident on a...Ch. 37 - Why is the following situation impossible? A...Ch. 37 - Light in air strikes a water surface at the...Ch. 37 - Light in air (assume n = 1) strikes the surface of...Ch. 37 - A pinhole camera has a small circular aperture of...Ch. 37 - Iridescent peacock feathers are shown in Figure...Ch. 37 - The scale of a map is a number of kilometers per...Ch. 37 - (a) Light traveling in a medium of index of...Ch. 37 - The intensity of light in a diffraction pattern of...Ch. 37 - How much diffraction spreading does a light beam...Ch. 37 - Two closely spaced wavelengths of light are...Ch. 37 - A spy satellite can consist of a large-diameter...Ch. 37 - Figure P37.51a is a three-dimensional sketch of a...Ch. 37 - In Figure P37.52, suppose the transmission axes of...Ch. 37 - Consider a light wave passing through a slit and...

Additional Science Textbook Solutions

Find more solutions based on key concepts
Show solutions add
Children and pregnant or lactating women should definitely not consume fish because of contamination. T F

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

What are the strengths and weaknesses of vegetarian diets?

Understanding Nutrition (MindTap Course List)

2. Why is carbon unique?

Chemistry In Focus

What is the structure and function of a mitochondrion?

Biology: The Dynamic Science (MindTap Course List)

Match the term listed in Column A with its definition from Column B

Nutrition Through the Life Cycle (MindTap Course List)

Which country do you suppose has the largest EEZ?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

Bacteria, Archaea, and Eukarya are three ________.

Biology: The Unity and Diversity of Life (MindTap Course List)