A buzzer operates at 250Hz. At time t=0s it is switched on and kept running for 10s. After the first 4s its frequency is suddenly increased to 500Hz while the amplitude remains unchanged. The speed of sound in the surrounding air may be taken as 340ms−1 throughout.
(a) Draw a table to show the time intervals during which each frequency is produced.
(b) Calculate the total number of oscillations emitted during the 10s operation.
(c) Compute the total length of the path travelled by the disturbance in air during the 10s interval.