Question

An electric vibrator produces ripples in a ripple tank,such that distance between one crest and one trough is 4 cm if the vibrations are produced at a rate of 4800 per minute calculate the time period and wave velocity

Answer 1

The distance between crests and trough is 4 cm

=> wavelength (L) = 4cm

Vibrations are produced at rate of 4800 per minute or

or 4800 per 60 sec.

​​​​​> wave velocity = distance/time = 4800/60 sec = 80 cm/s

velocity = frequency × wavelength

=> frequency = velocity / wavelength

=> frequency = 80/4 = 20 Hz

Time period = 1/frequency
1/80 = 0.0125 Hz^-1

Regards