A water wave is travelling with the speed of 1.5 metre per second if the distance between two consecutive water waves is 2.5 cm. calculate the frequency of the water wave .
Answers
Answer:
Explanation:
the distance between two water wave ⇒ wavelength ⇒ 2.5 cm ⇒ 2.5×10^-2m
velocity ⇒ 1.5 m/s^2
velocity= frequency × wavelength
frequency = velocity/ wavelength
= 1.5 / 2.5 × 10^-2
= 60 sec^-1
Given:
Speed of water = 1.5 m/sec
Distance between two consecutive waves = 2.5 cm
To find:
Frequency of the water wave.
Solution:
We will first find the wavelength of water wave
We know that wavelength is the distance between two consecutive waves, therefore
wavelength, w = 2.5 cm = 0.025 m
Now given that
velocity, v = 1.5 m/sec
Now, we will use the relation between wavelength, frequency, and velocity to find the values of frequency.
velocity = wavelength x frequency
1.5 = 0.025 x frequency
frequency = 60 per second
therefore, the frequency of the water wave will be 60 waves per second.