Question

A source produces 400 waves every minute. If the speed of the waves is 8mm/s, calculate the distance between adjacent troughs.

Answer 1

Answer on Question 54724, Physics, Mechanics

Question:

A source produces 400 waves every minute. If the speed of the waves is $8 \, \text{mm/s}$ , calculate the distance between adjacent troughs.

Solution:

The wavelength of the wave is the distance between adjacent troughs:

We can use the wave speed formula to find the wavelength:

$$v = f \lambda ,$$

where, $v = 8 \, \text{mm/s} = 0.008 \, \text{m/s}$ is the speed of the waves, $f = 400 / 60 \, \text{s} = 6.7 \, \text{Hz}$ is the frequency and $\lambda$ is the wavelength.

Thus, we can obtain:

$$\lambda = \frac {v}{f} = \frac {0 . 0 0 8 m / s}{6 . 7 H z} = 1. 2 \cdot 1 0 ^ {- 3} m.$$

Answer:

$$\lambda = 1. 2 \cdot 1 0 ^ {- 3} m.$$

http://www.AssignmentExpert.com/