if the speed increases the frequency increases
if the speed decrease the frequency decreases
If the frequency decreases and the wavelength increases, the speed of the wave remains constant. This is because the speed of a wave is determined by the medium it's traveling through, not by its frequency or wavelength.
You actually answered your own question. The wavelength remains the same since it is stated as part of the problem. However, the frequency, which I am betting you are more interested in will double. The frequency is releated to the wavelength and the speed of the wave by the following equation f = v/l where f is the frequency, v is the speed, and l is the wavelength. So if the velocity doubles and the wavelength is constant, then the frequency will double.
If the speed of a wave increases while the frequency remains constant, the wavelength of the wave will also increase. This is because the speed of a wave is directly proportional to its wavelength and frequency according to the formula speed = wavelength x frequency.
If frequency is tripled, the wavelength will be one-third of its original value. This is because the speed of the wave remains constant, so as frequency increases, wavelength decreases to maintain a constant speed.
The product of (frequency) times (wavelength) is always the same number. (It happens to be the speed of the wave.) So if one of them doubles, the other one gets decreased by half.
If the frequency remains constant, then the wavelength increases.
The wavelength stays constant.
Provided the speed of the wave remains constant, as we increase the frequency of wave then wavelength decreases. Because frequency and wavelength are inversely related.
If the frequency decreases and the wavelength increases, the speed of the wave remains constant. This is because the speed of a wave is determined by the medium it's traveling through, not by its frequency or wavelength.
You actually answered your own question. The wavelength remains the same since it is stated as part of the problem. However, the frequency, which I am betting you are more interested in will double. The frequency is releated to the wavelength and the speed of the wave by the following equation f = v/l where f is the frequency, v is the speed, and l is the wavelength. So if the velocity doubles and the wavelength is constant, then the frequency will double.
If the speed of a wave increases while the frequency remains constant, the wavelength of the wave will also increase. This is because the speed of a wave is directly proportional to its wavelength and frequency according to the formula speed = wavelength x frequency.
If frequency is tripled, the wavelength will be one-third of its original value. This is because the speed of the wave remains constant, so as frequency increases, wavelength decreases to maintain a constant speed.
When the frequency of a wave on a string is doubled, the wavelength decreases. This relationship is described by the wave equation ( v = f \lambda ), where ( v ) is the wave speed, ( f ) is the frequency, and ( \lambda ) is the wavelength. Since the tension remains constant, the wave speed also remains constant, so if the frequency increases, the wavelength must decrease in order to maintain the same wave speed. Specifically, if the frequency is doubled, the wavelength is halved.
The wavelength gets shorter. If the propagation speed remains the same, the wavelength (L) decreases by the inverse of the frequency f. For electromagnetic waves c = fL is a constant.
The product of (frequency) times (wavelength) is always the same number. (It happens to be the speed of the wave.) So if one of them doubles, the other one gets decreased by half.
If the frequency of a sound wave is multiplied by ten, the wavelength will decrease by a factor of ten. This is because the speed of sound in a given medium remains constant, so when frequency increases, wavelength decreases proportionally to maintain the speed of sound.
If the frequency of a wave is doubled while the wave speed remains constant, the wavelength of the wave will be halved. This is because wavelength and frequency are inversely proportional in a wave, so when one doubles, the other is halved to keep the wave speed constant.