# A sinusoidal wave of frequency 425 Hz has a speed of 250 m/s. \\ (a) How far apart are two...

## Question:

A sinusoidal wave of frequency 425 Hz has a speed of 250 m/s.

(a) How far apart are two points that differ in phase by {eq}\pi {/eq}/3 rad?

(b) What is the phase difference between two displacements at a certain point at times 1.00 ms apart?

## Sinusoidal Wave:

For sinusoidal waves, the time for one full cycle is called the period. The multiplication of frequency and wavelength gives the speed of a wave. Generally, the phase difference is measured in the radian.

## Answer and Explanation: 1

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**Given Data**:

- The frequency of the wave is {eq}f = 425\;{\rm{Hz}} {/eq}.

- The speed of the wave is {eq}v = 250\;{\rm{m/s}} {/eq}.

Part (a)

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Chapter 5 / Lesson 1Learn what a vibration is and explore the differences and similarities between vibrations and waves. Understand what quantities waves carry through objects.

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