Question

ocean waves travel with the speed of 15m\s find wavelength of waves if time period is 0.01 sec also find distance between crest and adjoining trough

Answer 1

Time period, T = 0.01sec

Frequency = 1/T = 1/0.01 = 100Hz

speed of waves= 15m/s

velocity= frequency×wavelength

wavelength=velocity/ frequency

wavelength = 15/100
= 0.15 m

the distance between adjacent crest and trough = wavelength/2
=0.15/2
= 0.075m

Answer 2

Speed = 15 m/s

Time period , T = 0.01 sec

Frequency = 1 / T
= 1 / 0.01
= 100 Hz

Speed = Frequency × Wavelength

∴ Wavelength = Speed ÷ frequency
= 15 ÷ 100
= 0.15 metres

Wavelength = distance between two consecutive crests
OR
Wavelength = distance between two consecutive troughs

Distance between crest and adjoining trough = Wavelength ÷ 2
= 0.15 ÷ 2
= 0.075 metres