A small source of sound oscillates in simple harmonic motion with an amplitude of 17 cm. A detector is placed along the line of motion of the source. The source emits a sound of frequency 800 Hz which travels at a speed of 340 m s^-1. If the width of the frequency band detected by the detector is 8 Hz, find the time period of the source.

A car moving at 108 km h^-1 finds another car in front of it going in the same direction at 72 km h^-1. The first car sounds a horn that has a dominant frequency of 800 Hz. What will be the apparent frequency heard by the driver in the front car? Speed of sound in air 330 m s^-1.

Two submarines are approaching each other in a calm sea. The first submarine travels at a speed of 36 km h^-1 and the other at 54 km h relative to the water. The first submarine sends a sound signal (sound waves in water are also called sonar) at a frequency of 2000 Hz. (a) At what frequency is this signal received by the second submarine? (b) The signal is reflected from the second submarine. At what frequency is this signal received by the first submarine. Take the speed of the sound wave in water to be 1500 m s^-1.

A sound source, fixed at the origin, is continuously emitting sound at a frequency of 660 Hz. The sound travels in air at a speed of 330 m s^-1. A listener is moving along the line x=336 m at a constant speed of 26 m s^-1. Find the frequency of the sound as observed by the listener when he is (a) at y = — 140 m, (b) at y = 0 and (c) at y = 140 m.