feminizmiki
2021-12-14
Answered

Two identical loudspeakers separated by distance d emit 170 Hz 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 three possible values for d? Assume a sound speed of 340 m/s.

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Mollie Nash

Answered 2021-12-15
Author has **33** answers

The wavelength of the wave:

$\lambda =\frac{v}{f}=\frac{340}{170}=2\text{}m$

The destructive interfence condition is:

$\mathrm{\u25b3}d=(m+\frac{1}{2})\lambda$ where $m=0,1,2,3,\dots$

For the minimum destructive interference, the value of m is equal to zero:

$\mathrm{\u25b3}d=(0+\frac{1}{2})\times 2=1\text{}m$

For m=1:

$\mathrm{\u25b3}d=(0+\frac{1}{2})\times 2=3m$

For m=2:

$\mathrm{\u25b3}d=(2+\frac{1}{2})\times 2=5\text{}m$

Result: 1m, 3 m, 5 m

The destructive interfence condition is:

For the minimum destructive interference, the value of m is equal to zero:

For m=1:

For m=2:

Result: 1m, 3 m, 5 m

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