You dip your finger into a pan of water twice each second, producing waves with crests that are separated by 0.17 m.

(a) Determine the frequency of the waterwaves. Hz (b) Determine the period of the water waves. s (c) Determine the speed of the water waves. m/s

a) 2Hz

b) 0.5seconds

c) 0.34m/s

Explanation:

a) Frequency is defined as the number of oscillations completed by a wave in one second.

If my finger is dipped into a pan of water twice each second, it means that my hand has made 2 oscillations through the water in one second. An oscillation is a to and fro movement of a particle, body or wave through a medium.

Based on the conclusion, the frequency of the waterwaves will be 2Hertz or 2cycles/sec.

2) Period T of a wave is defined as the time taken by a wave to complete one oscillation. It is the reciprocal of the frequency of a wave.

T = 1/F

Given frequency = 2Hertz

T = 1/2

T = 0.5seconds

Period of the water wave is 0.5seconds

c) speed of the wave v is expressed according to the relationship:

velocity = frequency * wavelength

Given:

Frequency = 2Hertz

Wavelength = 0.17m (Since it is the difference between two successive crest or trough of a wave)

Velocity = 2*0.17

Velocity = 0.34m/s