Question

In: Physics

Suppose that two speakers are connected to a single nail with two strings to form a...

Suppose that two speakers are connected to a single nail with two strings to form a triangular shape. One string has a 3rd harmonic wave of 300 Hz and weighs 3 g/m. The other string has a fundamental frequency of 400 Hz and weighs 4 g/m. Both strings have a tension of 2N

When the speakers play at 1600 Hz, what interference happens at the location of the nail?

Speed of sound is 343 m/s

Expert Solution

Third harmonic of first string is and fundamental frequency of second string

Third harmonic frequency of standing wave and fundamental frequency of standing wave

Velocity of wave on first string and velocity of wave on the second string

That is the distance between first speaker and nail is and distance between the second speaker and the nail is

Difference between the distances is the path length of two sound waves from two speakers.

Wavelength of sound wave is

For sonstructive interference at nail,

For destructive interferece at nail where

From the values of , and

So

Hence at the position of nail, destructive interference happens .

genius_generous answered 2 years ago

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