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Two identical loudspeakers separated by distance d emit 200Hz sound waves along the x-axis. As you walk along the axis, away from the speake
Question
Two identical loudspeakers separated by distance d emit 200Hz sound waves along the x-axis. As you walk along the axis, away from the speakers, you don’t hear anything even though both speakers are on.What are the three lowest possible values for d? Assume a sound speed of 340m/s.
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Physics
4 years
2021-09-04T02:00:02+00:00
2021-09-04T02:00:02+00:00 1 Answers
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Answer:
The three lowest possible values for d are 0.85 m, 2.55 m and 4.25 m.
Explanation:
Given that,
Distance = d
Frequency = 200 Hz
Speed of sound = 340 m/s
We need to calculate the wave length
Using formula of frequency
Put the value into the formula
We need to calculate the three lowest possible values for d
Using formula of destructive interference
Where,
= distance
Put the value into the formula
For m = 0,
For m =1 ,
For m=2,
Hence, The three lowest possible values for d are 0.85 m, 2.55 m and 4.25 m.