Problem 1 . A bottle-nosed dolphin is swimming at a top speed of 40 km/hrtowards

Question

Problem 1
. A bottle-nosed dolphin is swimming at a top speed of 40 km/hrtowards a Pacific mackerel headed directly away from it at 35km/hr. To find the mackerel, the dolphin emits a burst of clickingnoises at a frequency of 625 Hz and listens to the echoes. Assumethe speed of sound in salt water is 5470 km/hr.
(a) What is the frequency of the burst that reaches themackerel?
(b) What is the frequency of the burst’s echo when it returnsto the dolphin?
(c) What is the beat frequency between the two?
Prolem 2
A violin string 28.0 cm longwith linear density 0.790 g/m is placed near a loudspeaker that isfed by an audio oscillator of variable frequency. It is found thatthe string is set into oscillation only at the frequencies 880 and1320 Hz as the frequency of the oscillator is varied over the range500–1500 Hz. What is the tension in the string?
Problem 3
A fictional pipe organ has two contrabass pipes. Pipe A is 5.0meters tall and open at both ends. Pipe B is 4.0 meters tall andopen at one end (closed at the other). Assume the speed of sound is343 m/s.
(a) What is the fundamental frequency for Pipe A?
(b) What is the fundamental frequency for Pipe B?
(c) What is the frequency of the second harmonic for Pipe A?
(d) What is the frequency of the third harmonic for Pipe B?

Explanation / Answer

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