How To Find Frequency Of Transverse Wave: Problems, Examples And Facts 


In this post we will discuss about frequency of frequency of transverse wave, how to find frequency of transverse wave and other aspects of transverse wave.  

Frequency of a transverse wave is defined as the quantity of cycles the wave travels in a fixed time and it is inverse of time period, where time period is the amount of time consumed to cover one cycle. The formula for finding frequency when time period is mentioned, is f=1/T

Where T is time period and f is frequency of wave. 

S.I. unit for time period is second (s) and for frequency is hertz (Hz).  

How to find frequency of transverse wave ?

The velocity of a wave is related to its frequency and wavelength.

So, frequency can be expressed in terms of wavelength and velocity like given below nu =λf

Where λ (wavelength) is in meters and f (frequency) is in hertz(Hz). 

The frequency of a wave refers to the count of waves that pass across a certain region in a given length of time. Wave frequency may be calculated by counting the number of peaks (high points) of waves that traverse the stationary location in a single moment or over any arbitrary length of time.

As the quantity of waves grows, the frequency of the waves grows as well. The frequency of waves is evaluated in hertz (Hz), with 1 hertz equaling 1 second of one wave hitting a stationary place. 

A wave’s frequency is the same as the frequency of the vibrations that created it. A cable, for example, should be pushed up and down quicker to generate a larger wave. As a result, a greater wave with a similar amplitude has greater power than a shorter wave with a similar amplitude.

Amplitude of wave  

The amplitude of a wave is the highest height that the particles of the media travel from their resting state as it passes by. The particles will be in their resting position if there is no wave. The pulse height of a transverse wave is the elevation of each crest that rises above the resting state.

The height of the crests determines the amplitude. A longitudinal wave’s height is an evaluation of how squashed the media particles get as the wave travels through them. As the particles get closer together, the amplitude rises. 

A factor is the power of the disruption that causes the wave. A wave formed by a higher-energy disturbance has a larger amplitude. Consider putting a little pebble into a quiet pond. In concentric rings, little ripples will emerge from the disruption. 

Wavelength 

Another important component in estimating the amplitude of a wave is its wavelength. The wavelength is defined as the space separating two similar places on successive waves. The wavelength is the space across two consecutive transverse wave crests or two neighbouring longitudinal wave contractions.

The majority of the time, it is expressed in meters. The energy of a wave is according to its wavelength. Waves with a shorter wavelength of a similar amplitude contain more energy compared to waves with a larger wavelength. 

Speed of wave and frequency dependency 

Examine how transverse waves can be created in a string. One end of the string is connected to a gate or other stationary object, while the other end is moved up and down by a human hand. The string may be moved gently or fast up and down. The speed with which the string is moved determines the frequency of the waves. 

Suppose we just bounce one end of a string once up and down. When the wave hits another end of the string, what time, will it take it to go down the string? 

This is determined by the wave’s speed. The spacing a wave travel in a definite length of time, such as how many meters it travels per second, is known as wave speed. Wave speed is related to both frequency and wavelength, despite the fact that it is not similar to wave frequency.

This formula depicts the relationship between the three variables.Speed = Wavelength \times Frequency

S.I. unit of wavelength is meter and S.I. unit of frequency is hertz or number of waves per second. So, S.I. unit for speed is meter per second.  

The media through which waves travel determines their speed. Waves go the fastest through solids and the slowest through gases. This is because solids have the closest components, whereas gases have the farthest away. When particles are further away, the energy of the disturbance takes longer to transfer from one to the other. 

The frequency of a wave is the count of pulses passing across a particular region in a given span of time. Wave frequency may be calculated by counting the number of peaks (high points) of waves that traverse the stationary location in a single moment or over any arbitrary length of time.

As the quantity of waves grows, the frequency of the waves grows as well. Wave frequency is measured in hertz (Hz), with 1 hertz equalling 1 wave reaching a stationary place in 1 second. 

Problems 

Problem 1  

Whenever a certain string vibrates at a certain frequency, a transverse wave of wavelength is produced. 0.5 m is produced. The wave moves with the 10 meters per second speed. Determine the frequency of waves.  

Solution:

First we will write the known variables and then will determine the frequency. 

Given: 

Speed of wave: f=10 meters per second

The wavelength of wave: λ=0.5

Formula for frequency; 

nu =λf

(10 m/s) =(0.5 m) f

f = 20 Hertz

So, the frequency of the wave is 20 hertz.  

Problem 2 

In the spring, Ram created a wave by pushing and tugging on an end. The wave has a frequency of 2.5 hertz and a wavelength of 1 m. What is the wave’s velocity? 

Solution: First we will write the known variables 

Given: 

The wavelength of the wave, λ=1 meter

Frequency of wave, f=2.5 hertz

we will put the given values in the speed formula; 

nu =λf

nu = (1 m) (2.5 hertz)

nu =2.5m/s

So, the speed of wave is 2.5 meters per second.  

Frequently asked questions |FAQs 

Q. Explain the frequency of waves? 

Ans. As a wave travels across a media, the frequency of the wave corresponds to how frequently the particles of the medium oscillate. Frequency is a component of our everyday vocabulary. 

Q. Is there a frequency difference between transverse and longitudinal waves? 

Ans. Frequency, wavelength, speed, and amplitude are all characteristics of waves. Longitudinal and transverse wave peaks for longitudinal and transverse waves are assessed distinctly. 

The height of a transverse and longitudinal wave differs for that transverse waves travel up and down or horizontally (perpendicular to the motion direction), but longitudinal waves squeezed and expand (called compression and rarefaction) in the motion direction. 

As a result, the height of a transverse wave is normally measured in meters, but the height of longitudinal waves is usually measured in differences in pressure. 

Q. What is the relationship between a wave’s frequency and wavelength? 

Ans. The frequency and wavelength are inversely proportional The wavelength of the pulse with the highest frequency is the shortest. One-half the wavelength is equal to twice the frequency. 

Q. Is wave speed affected by frequency? 

Ans. Wave frequency has little effect on wave speed, according to the study. Whereas the wave speed stayed unchanged, a rise in wave frequency resulted in a reduction in wavelength. 

SAKSHI KM

I am Sakshi Sharma, I have completed my post-graduation in applied physics. I like to explore in different areas and article writing is one of them. In my articles, I try to present physics in most understanding manner for the readers.

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