Conceptual Physics: The High School Physics Program
9th Edition
ISBN: 9780133647495
Author: Paul G. Hewitt
Publisher: Prentice Hall
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Textbook Question
Chapter 26, Problem 19A
Why does destructive interference occur when the path lengths from two identical sources differ by half a wavelength?
Expert Solution & Answer
To determine
To Explain:Destructive interference occurs when the path lengths from two identical sources differ by half a wavelength.
Explanation of Solution
Introduction:
There can be either constructive interference or destructive interference between the two waves.
When the crests of one wave overlap with troughs of another wave, then there is destructive interference between two sound waves from two identical sources.
Hence,for overlap between crests of one wave with troughs of another wave, both waves must be out of phase which occurs if the path lengths from two identical sources have a difference of half a wavelength.
Conclusion:
Thus,for destructive interference,the overlap between crests of one wave with troughs of another wave both waves must be out of phase which occurs if the path lengths from two identical sources have a difference of half a wavelength.
Chapter 26 Solutions
Conceptual Physics: The High School Physics Program
Ch. 26 - What is the source of all sounds?Ch. 26 - How does pitch relate to frequency?Ch. 26 - What is the average frequency range of a young...Ch. 26 - Distinguish between infrasonic and ultrasonic...Ch. 26 - a. Distinguish between compressions and...Ch. 26 - Light can travel through a vacuum, as is evidenced...Ch. 26 - Prob. 7ACh. 26 - How does the speed of sound in air compare with...Ch. 26 - Why does sound travel faster in solids and liquids...Ch. 26 - Is sound intensity subjective or is loudness...
Ch. 26 - Why do different objects make different sounds...Ch. 26 - What does it mean to say that everything has a...Ch. 26 - Why is sound louder when a vibrating source is...Ch. 26 - What is the relationship between forced vibration...Ch. 26 - Why can a tuning fork or bell be set into...Ch. 26 - How is resonance produced in a vibrating object?Ch. 26 - What does tuning in a radio station have to do...Ch. 26 - Is it possible for one sound wave to cancel...Ch. 26 - Why does destructive interference occur when the...Ch. 26 - How does interference of sound relate to beats?Ch. 26 - What is the beat frequency when a 494-Hz tuning...Ch. 26 - The three waves below have the same frequency and...Ch. 26 - A pair of tuning forks of frequencies f1 and f2...Ch. 26 - If the moon blew up, why wouldnt we be able to...Ch. 26 - When watching at a baseball game, we often hear...Ch. 26 - In the stands of a racetrack, you notice smoke...Ch. 26 - In an Olympic competition, a microphone picks tip...Ch. 26 - Why will marchers at the end of a long parade...Ch. 26 - You watch a distant farmer driving a stake into...Ch. 26 - When a sound wave propagates past a point in the...Ch. 26 - If the speed of sound depended on its frequency,...Ch. 26 - If the frequency of sound is doubled, what change...Ch. 26 - Why is an echo weaker than the original sound?Ch. 26 - How much more intense is a close whisper than a...Ch. 26 - The signal-to-noise ratio for a tape recorder is...Ch. 26 - If the handle of a tuning fork is held solidly...Ch. 26 - The sitar, an Indian musical instrument, has a set...Ch. 26 - Suppose a piano tuner hears 2 beats per second...Ch. 26 - Why is it dangerous for people in the balcony of...Ch. 26 - Why is the sound of a harp soft in comparison with...Ch. 26 - What physics principle is used by Laura when she...Ch. 26 - Suppose a sound wave and an electromagnetic wave...Ch. 26 - A special device transmits out-of-phase sound to a...Ch. 26 - Prob. 44ACh. 26 - A bat flying in a cave emits a sound and receives...Ch. 26 - An oceanic depth-sounding vessel surveys the ocean...Ch. 26 - On a field trip to Echo Cave, you clap your hands...Ch. 26 - Susie hammers on a block of wood when she is 85 m...Ch. 26 - Prob. 49ACh. 26 - Suppose your friend is foolish enough to play his...Ch. 26 - Two sounds, one at 240 Hz and the other at 243 Hz,...Ch. 26 - Two notes are sounding, one of which is 440 Hz. If...Ch. 26 - What beat frequencies are possible with tuning...Ch. 26 - Prob. 55ACh. 26 - Blow over the tops of two identical empty bottles...
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