Suppose you set up two speakers a distance 1.45m apart. You are sitting on a sofa a distance 2.5m from the speakers. You are sitting 1m to the right of the center as shown. The two speakers are connected to the same amplifier so that they play in unison. The two speakers act like a double slit for sound rather than light. 1. How far are you from the left speaker? (Hint, use trig. Unlike the double slit experiment you can't use the small angle approximation. Be sure to retain many digits on your answer for future calculations.) 2. How far are you from the right speaker? 3. What is the difference in distance the sound from the two speakers has to travel to reach you? 4. If the speakers play a note for which the path length difference is a half of a wavelength the two speakers will add destructively you won't hear the note (or at least it will be quieter). What note will this be? You can find the correspondence between frequencies and musical notes at this link: (This page uses the scale where A4 is 440Hz). 5. What note will add constructively because the path lengths differ by a full wavelength? This is note will be extra laud. 6. The note for which the difference in distances is will also be quiet. What note is this?
Suppose you set up two speakers a distance 1.45m apart. You are sitting on a sofa a distance 2.5m from the speakers. You are sitting 1m to the right of the center as shown. The two speakers are connected to the same amplifier so that they play in unison. The two speakers act like a double slit for sound rather than light. 1. How far are you from the left speaker? (Hint, use trig. Unlike the double slit experiment you can't use the small angle approximation. Be sure to retain many digits on your answer for future calculations.) 2. How far are you from the right speaker? 3. What is the difference in distance the sound from the two speakers has to travel to reach you? 4. If the speakers play a note for which the path length difference is a half of a wavelength the two speakers will add destructively you won't hear the note (or at least it will be quieter). What note will this be? You can find the correspondence between frequencies and musical notes at this link: (This page uses the scale where A4 is 440Hz). 5. What note will add constructively because the path lengths differ by a full wavelength? This is note will be extra laud. 6. The note for which the difference in distances is will also be quiet. What note is this?
Related questions
Question
Transcribed Image Text:2 Two speakers
R
1.45m
2.5m
You
1m
Top View
Suppose you set up two speakers a distance 1.45m apart. You are sitting on a sofa a distance 2.5m from the
speakers. You are sitting 1m to the right of the center as shown. The two speakers are connected to the same
amplifier so that they play in unison. The two speakers act like a double slit for sound rather than light.
1. How far are you from the left speaker? (Hint, use trig. Unlike the double slit experiment you can't use the
small angle approximation. Be sure to retain many digits on your answer for future calculations.)
2. How far are you from the right speaker?
3. What is the difference in distance the sound from the two speakers has to travel to reach you?
4. If the speakers play a note for which the path length difference is a half of a wavelength the two speakers will
add destructively you won't hear the note (or at least it will be quieter). What note will this be? You can find
the correspondence between frequencies and musical notes at this link:
W
(This page uses the scale where A4 is 440Hz).
5. What note will add constructively because the path lengths differ by a full wavelength? This is note will be
extra laud.
6. The note for which the difference in distances is 2 will also be quiet. What note is this?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 2 images
