Time taken to reach a person located 5m from the source is 0.2s
Explanation:
Given:
Frequency, f = 10Hz
Wavelength, λ = 2.5m
Distance, d = 5m
Time, t = ?
We know:
velocity = f X λ
v = 10 X 2.5
v = 25 m/s
We know:
Distance = speed X time
On substituting the value we get:
5 = 25 X t
t = 0.2 seconds
Therefore, time taken to reach a person located 5m from the source is 0.2s
The wave takes 0.2 seconds to reach a person located 5 m from the source.
Step-by-step explanation:
Let the frequency be 'f' and the wavelength be 'λ'
The frequency and wavelength relation is given by,
f = C/ λ
Here C is the speed of the wave.
10 = C/ 2.5
C= 10 x 2.5
C = 25 m/s
The relation between speed, time and distance is given by,
Speed = distance/ time
Here the distance we take will be 5m as we should find the time to reach the person 5m away from the source.
25 = 5 / t
t = 5/25
t = 0.2 seconds
The wave need 0.2 seconds to reach a person 5m away from the source.
