Question

the distance between a crest and a trough of a transverse wave is 5m. What will be the frequency and the velocity of the wave if 5 seconds are taken to complete 1 wave ?​

Answer 1

Answer:

0.2 Hz

1 m/s

Explanation:

Frequency = 1/5

Velocity= 5/5

Answer 2

Given : Distance between a crest and trough of a transverse wave is 5m.

To Find : Frequency and the Velocity of the wave when t = 5 sec.

Solution :

Two consecutive crest =5m.

Two wave cross in time, t=5sec

Wavelength = distance between two consecutive crest

λ=5m

Velocity of the wave , $\[v = \frac{{2\lambda }}{t}\]$

 $\[v = \frac{{2 \times 5}}{5} = 2m/s\]$

v = 2ms ^-1

Hence, wave speed is 2ms ^-1

Now Frequency of the wave

$\[f = \frac{v}{\lambda } = \frac{2}{5} = 0.4{s^{ - 1}}\]$

Hence , Frequency and the Velocity of the wave is $\[0.4{s^{ - 1}}\]$ and velocity of the wave is 2 m/s.