Question

Two flutists blow identical "D" notes of frequency 293.665 Hz on their flutes. Besides having identical frequencies, the resulting sound waves have identical pressure amplitudes of 15.0 mPa. If the two waves reach your ears and constructively interfere

a) How do the combined amplitude and intensity of the waves' superposition compare to their individual amplitudes and intensities?

b) Should this combination sound twice as loud as a single flutist? Why or why not?

Please type your answer here and please honestly give your answers and not copied from somewhere. please try to be short and correct.

Answer 1

let for flutists-1 Amplitude of sound is A1 and Intensity of sound is I1. Similar for flutists-2 A2 and I2 respectively.

(a) but given that A1=A2=A and I1=I2=I

Combine Amplitude is A'=A1+A2= 2A

since intensity is proportional to square of amplitude so combine itensity will be proportional to (A')².

(b) No combine sound is not as loud as single flutist as we can show above the intensity of sound is 4 times to the intensity of single flutist.(Sound is loud or not which is depend on intensity)