Question

State the relationship between frequency and time period of a wave. The wavelength of

vibrations produced on the surface of water is 2 cm. If the wave velocity is 16 m/s, find its

frequency and Time period.

Answer 1

RELATIONSHIP BETWEEN FREQUENCY AND TIME PERIOD

Frequency and time period are inversely related quantities. Frequency refers to how often something happens; whereas Period refers to the time it takes for something to happen. Frequency is a rate quantity. Period is a time quantity. Frequency is the number of cycles/second denoted as Hertz (Hz). Period is the seconds/cycle. Inverse because if the frequency is high, then the time period is low. For example if ten cycles per second is the frequency (described as 10 Hertz) then the time period is one-tenth of a second per cycle. If we increase the frequency to 100 Hertz, then the period is reduced, to one-hundredth of a second per cycle.