You can either halve the wavelength, keeping the wave speed constant; or double the wave speed, keeping the wavelength constant.
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.
To double the wavelength of a wave, you need to decrease its frequency by half. Wavelength and frequency are inversely proportional - as wavelength increases, frequency decreases, so doubling the wavelength requires halving the frequency. This change in wavelength can affect the characteristics of the wave, such as its speed and energy.
Assuming that the wavelength remains constant, the velocity of the rope will also double if the frequency is doubled. This can be seen in the word equation below: speed = frequency x wavelength If we assume that wavelength is a constant...let wavelength = 1 speed = frequency therefore... 2 x frequency = 2 x 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 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.
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.
To double the wavelength of a wave, you need to decrease its frequency by half. Wavelength and frequency are inversely proportional - as wavelength increases, frequency decreases, so doubling the wavelength requires halving the frequency. This change in wavelength can affect the characteristics of the wave, such as its speed and energy.
wavelength
Wavelength = 1/frequency. If you double the frequency, the wavelength drops to half.
Speed = wavelength x frequency, so wavelength = speed / frequency. Therefore, the wavelength is inversely proportional to the frequency. Double the frequency means half the wavelength.
Assuming that the wavelength remains constant, the velocity of the rope will also double if the frequency is doubled. This can be seen in the word equation below: speed = frequency x wavelength If we assume that wavelength is a constant...let wavelength = 1 speed = frequency therefore... 2 x frequency = 2 x speed
If the frequency becomes double what it was, then the wavelength becomes 1/2 of what it was.
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 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.
If the frequency of the light wave is decreased by a factor of 2, the wavelength will double. This is because the speed of light remains constant in a given medium, so as frequency decreases (and energy decreases), wavelength increases to maintain the speed of light.
The wavelength of the sound is halved when you double the frequency. This means that the distance between two consecutive crests or troughs of a sound wave decreases by half.
In a vacuum, all electromagnetic waves have the same propagation speed of c = 300,000,000 meters per second (the speed of light). All of these waves, however, may have different frequencies and thus wavelengths. The speed of a wave is related to its frequency and wavelength by the relation (speed) = (frequency) X (wavelength) Since the speed of electromagnetic waves in a vacuum is constant, the frequency and wavelength are "inversely proportional" to one another. This means that cutting the frequency of a wave in half makes its wavelength double, and vice versa.