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IF a wave moving at a constant speed were to have it's wavelength doubled (Wavelength x 2), then the frequency of the wave would be half of what it originally was (Frequency / 2).

Q: If a wave is moving at a constant speed and the wavelength is doubled what will happen to the frequency?

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Whatever the wavelength and frequency happen to be, their product is always equal to the speed.

This generally happens when a wave moves from one medium into another.Now, the velocity (v) of a wave (mechanical and electromagnetic) is equal to the product of its frequency (f) and wavelength (Î»).So, v = f x Î»That means if frequency is constant, the wavelength is directly proportional to the velocity.So, if the speed of the wave increases (while frequency remains the same), the wavelength will also increase.

it would become longer

It will simply double.Wavelength = Velocity / Frequencyor in your caseVelocity = Frequency x wavelength+++Except that would demand unusual conditions.'Doubling of speed can only happen if the wave passes from its first medium to another of very different properties. Any given wave motion has a speed constant for any medium itself that is able to transmit it.'For sound, the speed is approximately 340m/s in air, 1500m/s in water (varying very slightly with the density of the air or water). This is irrespective of frequency hence irrespective of wavelength.'So for a single medium, as the speed cannot change (ignoring small changes due to density changes) the wavelength is always inversely proportional to frequency only.

If both dimensions are doubled then the area is quadrupled. This is true of any geometric shape.

Related questions

If the frequency of a wave traveling in a rope is doubled, the speed of the wave will remain the same. The speed of a wave in a medium is determined by the properties of the medium, not by the frequency of the wave.

Whatever the wavelength and frequency happen to be, their product is always equal to the speed.

If the wavelength is doubled, the frequency of the wave will be halved. This is because the speed of the wave remains constant, so as the wavelength increases, the number of wavelengths passing a point in a given time decreases, resulting in a lower frequency.

As the frequency of a wave increases while the speed remains constant, the wavelength of the wave will decrease. This is because the speed of a wave is the product of its frequency and wavelength, according to the wave equation v = f * λ. So if the speed is constant and frequency increases, wavelength must decrease to maintain this relationship.

If the frequency of a wave is left unchanged, the wavelength will also remain constant. Wavelength and frequency are inversely proportional, so they always adjust together to maintain the speed of the wave.

If the frequency of a wave is halved, the wavelength would double. This is because the speed of the wave remains constant, so by halving the frequency (which is the number of wave cycles per unit time), each wave cycle now covers a longer distance, resulting in a longer wavelength.

This generally happens when a wave moves from one medium into another.Now, the velocity (v) of a wave (mechanical and electromagnetic) is equal to the product of its frequency (f) and wavelength (Î»).So, v = f x Î»That means if frequency is constant, the wavelength is directly proportional to the velocity.So, if the speed of the wave increases (while frequency remains the same), the wavelength will also increase.

It would change, depending on how much the frequency and the wavelength changes. It varies based on v = fλ.

If the frequency is decreased, the wavelength will increase. This is because the wavelength and frequency of a wave are inversely proportional to each other according to the wave equation λ = c/f, where λ is the wavelength, c is the speed of light, and f is the frequency.

As the wavelength of a gamma wave decreases, the frequency increases. This is because frequency and wavelength are inversely proportional to each other according to the formula f = c / λ, where f is frequency, c is the speed of light, and λ is wavelength. So, a shorter wavelength corresponds to a higher frequency.

If you increase the frequency of a periodic wave, the wavelength would decrease. This is because wavelength and frequency are inversely proportional in a wave: as frequency goes up, wavelength goes down.

Yes, waves with different wavelengths can be coherent if they have the same frequency and constant phase difference between them. This coherence is important in interference phenomena like Young's double-slit experiment.