Tom walks around s1 in a circular path. the two loud speakers s1 (0, 0) and s2 (0,10m) are driven by the same oscillator are identical with adjustable frequencies and power 300-watt each. assume sound intensity does not decay due to the distance and it is io=ka2(a is the amplitude of a sound wave). when tom is at point p (10, 0), he receives a maximum intensity of sound.
(a) what are the frequencies of the two speakers?
(b) what is the sound intensity and sound level (in db) at point p?

Part a)

Part b)

Explanation:

Path difference of two sounds reaching at the position of Tom is given as

here we know that

now we have

so we know that path difference must be equal to wavelength for maximum intensity of sound

so we have

now frequency of sound is given as

Part b)

Intensity of source at position of Tom is given as

so we have

now due to constructive interference the maximum intensity is given as

now sound level is given as

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from wikipedia