Destructive Interference: Finding Quiet Spots

How many quiet spots are there when two speakers, 7.0 m apart, are in phase and emit a pure tone of wavelength 3.6 m?

Is it 2 quiet spots?

Answer:

Yes, the answer is 2 quiet spots.

When two speakers, 7.0 m apart, are in phase and emit a pure tone of wavelength 3.6 m, there will be 2 quiet spots along the line segment connecting the speakers. This phenomenon is known as destructive interference.

In this scenario, the distance between the speakers is 7.0 m and the wavelength of the tone is 3.6 m. To determine the number of quiet spots, we can use the formula:

Number of quiet spots = (Distance between speakers) / (Wavelength)

By substituting the values into the formula, we get:

Number of quiet spots = 7.0 m / 3.6 m = 1.94 spots

Since we cannot have a fraction of a spot, we round down to the nearest whole number, which gives us 2 quiet spots along the line segment connecting the speakers.