Table of Contents

- 1 How is frequency related to velocity and wavelength?
- 2 What equation is used to relates frequency and wavelength?
- 3 What is the equation for the frequency of a wave?
- 4 How are wave frequency and period related?
- 5 Are period and frequency inversely related?
- 6 How do you find the velocity of a wave?
- 7 How are velocity, frequency and wavelength of a wave related?
- 8 What is the velocity of propagation of a wave called?
- 9 How is the time period of a wave defined?

The relationship of the speed of sound, its frequency, and wavelength is the same as for all waves: vw = fλ, where vw is the speed of sound, f is its frequency, and λ is its wavelength.

## What equation is used to relates frequency and wavelength?

c = λν expresses the relationship between wavelength and frequency.

**Which equation shows the mathematical relationship between the frequency and the period of a wave?**

Frequency, f, is how many cycles of an oscillation occur per second and is measured in cycles per second or hertz (Hz). The period of a wave, T, is the amount of time it takes a wave to vibrate one full cycle. These two terms are inversely proportional to each other: f = 1/T and T = 1/f.

### What is the equation for the frequency of a wave?

The frequency formula in terms of time is given as: f = 1/T where, f is the frequency in hertz, and T is the time to complete one cycle in seconds. The frequency formula in terms of wavelength and wave speed is given as, f = 𝜈/λ where, 𝜈 is the wave speed, and λ is the wavelength of the wave.

A wave’s period measures how long it takes for a wave to pass a given point in its entirety, from crest to crest. Frequency and period are basically measuring the same characteristic of a wave and can be related by the equation period = 1 / frequency.

**How are periods and frequency related?**

Frequency is measured in hertz (Hz) which is equal to one event per second. The period is the duration of time of one cycle in a repeating event, so the period is the reciprocal of the frequency.

Frequency equals two cycles per second. Time, T, is 1 divided by f, the number of cycles in a second. Frequency and period are the inverse of each other!

#### How do you find the velocity of a wave?

Multiplying the wave’s frequency by its wavelength, which is its physical length, yields the velocity of the wave. The relationship can be expressed as velocity equals frequency times wavelength.

**Which equation shows the mathematical relationship between the frequency and period of a wave?**

Relationship between velocity, frequency and wavelength of a wave The distance travelled by a wave in a medium in one second is called the velocity of propagation of the wave in that medium. If v represents the velocity of propagation of the wave, it is given by Velocity = Distance travelled / Time taken Important terms used in wave motion

## What is the velocity of propagation of a wave called?

The distance travelled by a wave in a medium in one second is called the velocity of propagation of the wave in that medium. If v represents the velocity of propagation of the wave, it is given by

**What is the distance travelled by a wave?**

The distance travelled by a wave during which a particle of the medium completes one vibration is called wavelength. It is also defined as the distance between any two nearest particles on the wave having same phase.

### How is the time period of a wave defined?

Wavelength may also be defined as the distance between two successive crests or troughs in transverse waves, or the distance between two successive compressions or rarefactions in longitudinal waves. The time period of a wave is the time taken by the wave to travel a distance equal to its wavelength.