How many quiet spots are there along the line segment connecting two speakers?

Question:

If two speakers, 7.0 m apart, are in phase and emit a pure tone of wavelength 3.6 m, how many quiet spots (completely destructive interference) are there along the line segment connecting the speakers?

Answer:

Final answer: There are two quiet spots along the line segment connecting the speakers.

When two speakers, 7.0 m apart, are in phase and emit a pure tone of wavelength 3.6 m, there will be points along the line segment connecting the speakers where the sound waves cancel each other out completely, creating quiet spots through destructive interference.

The number of quiet spots can be calculated using the formula: n = d / λ, where 'n' is the number of quiet spots, 'd' is the distance between the speakers (7.0 m in this case), and λ is the wavelength of the pure tone (3.6 m in this case).

Plugging in the values, we get: n = 7.0 / 3.6 = approximately 1.94. Since we cannot have fractional quiet spots, the answer is that there are two quiet spots along the line segment connecting the speakers.