We got the formula: speed of medium c = frequency f times wavelength lambda. f = c / lambda lambda = c / f If c increases, also f increases. c is proportional to f, if lambda stays constant. If c increases, also lambda increases. c is proportional to lambda, if fstays constant.
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When wavelength increases, the velocity of the wave remains constant if the medium through which it propagates stays the same. In a different medium, the velocity may change based on the properties of the medium.
Speed of sound c = Frequencyf x wavelength λ.
When speed of sound c (= velocity of sound) increases wavelength λ increases.
c = λ · f
The wavelength decreases as the frequency increases. From the universal wave equation velocity = wavelength * frequency, it can be derived that wavelength = velocity / frequency, and therefore wavelength is inversely related to frequency. For inverse relationships, when one variable increases, the other decreases.
Wavelength(L), frequency(F), and velocity(v) are bound by the equation v=LF.
Therefore if the frequency remains constant and the wavelength increases then the velocity also has to increase.
If we are talking about light waves; however. the velocity is always c, the speed of light. So if wave length increase then the frequency has to decrease.
As the frequency of any spectrum increases whether it be light, sound, radiation, etc. the wavelength decreases and vise versa.
Think of it like two lines of the same length, one has a high frequency, one a low frequency. Since frequency is the amount of waves that occur in that spectrum, a higher frequency means smaller wavelength (size of each wave) while a lower frequency means larger ones.
|_/\_/\_/\_/\_/\_/\_| - Lower frequency, higher wavlength.
|/\/\/\/\/\/\/\/\/\/\/\/| - Higher frequency, lower wavelength.
Wavelength is equal to the distance from one wave peak to the next, as frequncy increases the distance between peaks decrease, thus decreasing wavelength.
As the wavelength of a wave increases, the velocity of the wave remains constant. In a given medium, the velocity of a wave is determined by the properties of that medium, such as its density and elasticity, and is not affected by changes in wavelength.
If the velocity of a wave increases while the wavelength stays the same, then the frequency of the wave also increases. This is because the speed of a wave is determined by the product of its wavelength and frequency (v = λf), so if velocity increases and wavelength remains constant, the only way for this equation to hold true is for the frequency to increase.
This is not true practically. Theoretically speaking as velocity increases with wavelength remains constant, then frequency has to increase accordingly. Since the formula for velocity is given as: velocity of the wave v = frequency (nu) * wavelength (lamda). In reality the characteristic, namely, frequency remains constant when the speed of the wave changes as it traverses in different medium.
Velocity and frequency are related in wave physics. The speed of a wave is determined by the product of its frequency and wavelength. As frequency increases, velocity also increases if the wavelength remains constant. This relationship is described by the equation: velocity = frequency x wavelength.
If the frequency of a wave increases while the velocity stays the same, the wavelength of the wave must decrease. This relationship is governed by the equation v = f * λ, where v is the velocity, f is the frequency, and λ (lambda) is the wavelength. As frequency increases, wavelength decreases in order to keep the velocity constant.