Question

the distance travelled by wave is 140 m during which it completes 200 vibrations. If the fequency of vibration of the wave is 500Hz,find the velocity of the wave.

Answer 1

QUESTION:

The distance travelled by wave is $140\,\mathrm{m}$ during which it completes 200 vibrations. If the frequency of vibration of the wave is $500\,\mathrm{Hz}$, find the velocity of the wave.

SOLUTION:

As wave completes 200 vibration during it travels the distance $l = 140\,\mathrm{m}$, the wavelength is

$$\lambda = \frac{l}{200} = 0.7\,\mathrm{m}.$$

Hence, the velocity of the wave is $\upsilon = \nu \lambda$, where $\nu$ is the frequency of the wave.

$$\upsilon = 500 \cdot 0.7 = 350\,\mathrm{m/s}$$

ANSWER:

$350\,\mathrm{m/s}$