In a location where the speed of sound is 352 m/s, a 2,000 Hz sound wave impinges on two slits 30 cm apart. (a) At what angle is the first-order maximum located? 0.30 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. (b) If the sound wave is replaced by 4.60 cm microwaves, what slit separation gives the same angle for the first-order maximum? 0.078 Your response is off by a multiple of ten. cm (c) If the slit separation is 1.00 µm, what frequency of light gives the same first-order maximum angle? 0.000000100X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Hz

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
100%
### Sound Wave Interference and Maximum Angles

In a location where the speed of sound is 352 m/s, a 2,000 Hz sound wave impinges on two slits that are 30 cm apart. The questions below explore the conditions for the first-order maximum in wave interference patterns.

#### (a) First-Order Maximum Angle for Sound Waves
**Question:** At what angle is the first-order maximum located?

**Attempted Answer:** 0.30°

**Feedback:** Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.

#### (b) Equivalent Slit Separation for Microwaves
**Question:** If the sound wave is replaced by 4.60 cm microwaves, what slit separation gives the same angle for the first-order maximum?

**Attempted Answer:** 0.078 cm

**Feedback:** Your response is off by a multiple of ten. Re-work calculations to find the correct slit separation.

#### (c) Equivalent Frequency for Light
**Question:** If the slit separation is 1.00 μm, what frequency of light gives the same first-order maximum angle?

**Attempted Answer:** 0.00000010 Hz

**Feedback:** Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.

### Understanding Wave Interference
- **Wave Interference:** The phenomenon where two waves meet while traveling along the same medium, resulting in a new wave pattern.
- **First-Order Maximum:** An angle of constructive interference where a path difference between waves equals one wavelength.
- **Key Parameters:**
  - **Speed of Sound:** 352 m/s
  - **Sound Frequency:** 2,000 Hz
  - **Wavelength for Microwaves:** 4.60 cm
  - **Slit Separations:** Original and calculated for microwaves and light.

### Analysis Tips
1. **Calculating Wavelength:** For sound, the wavelength \(\lambda = \frac{\text{speed of sound}}{\text{frequency}}\).
2. **Using the Path Difference Equation:** Determine angles using \(d\sin\theta = m\lambda\), where \(d\) is slit separation, \(\theta\) is the angle, and \(m\) is the order of maximum.
3. **Unit Conversion:** Ensure consistent units when assessing different wave types, such as converting between
Transcribed Image Text:### Sound Wave Interference and Maximum Angles In a location where the speed of sound is 352 m/s, a 2,000 Hz sound wave impinges on two slits that are 30 cm apart. The questions below explore the conditions for the first-order maximum in wave interference patterns. #### (a) First-Order Maximum Angle for Sound Waves **Question:** At what angle is the first-order maximum located? **Attempted Answer:** 0.30° **Feedback:** Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. #### (b) Equivalent Slit Separation for Microwaves **Question:** If the sound wave is replaced by 4.60 cm microwaves, what slit separation gives the same angle for the first-order maximum? **Attempted Answer:** 0.078 cm **Feedback:** Your response is off by a multiple of ten. Re-work calculations to find the correct slit separation. #### (c) Equivalent Frequency for Light **Question:** If the slit separation is 1.00 μm, what frequency of light gives the same first-order maximum angle? **Attempted Answer:** 0.00000010 Hz **Feedback:** Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. ### Understanding Wave Interference - **Wave Interference:** The phenomenon where two waves meet while traveling along the same medium, resulting in a new wave pattern. - **First-Order Maximum:** An angle of constructive interference where a path difference between waves equals one wavelength. - **Key Parameters:** - **Speed of Sound:** 352 m/s - **Sound Frequency:** 2,000 Hz - **Wavelength for Microwaves:** 4.60 cm - **Slit Separations:** Original and calculated for microwaves and light. ### Analysis Tips 1. **Calculating Wavelength:** For sound, the wavelength \(\lambda = \frac{\text{speed of sound}}{\text{frequency}}\). 2. **Using the Path Difference Equation:** Determine angles using \(d\sin\theta = m\lambda\), where \(d\) is slit separation, \(\theta\) is the angle, and \(m\) is the order of maximum. 3. **Unit Conversion:** Ensure consistent units when assessing different wave types, such as converting between
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Interference of Light
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON