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.
If the frequency is doubled, the wavelength of the wave will be halved. This is because the speed of the wave remains constant, so as frequency increases, the wavelength decreases to maintain that constant speed.
The speed halves.
If the frequency is doubled, the wavelength is halved. This is because the speed of the wave remains constant, as determined by the medium it is traveling through. The wavelength and frequency of a wave are inversely related according to the equation: speed = frequency x 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
The wavelength is halved.
Wavelength is halved.
Wavelength = 1/frequency. If you double the frequency, the wavelength drops to half.
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.
speed = freq. X wavelength Hence frequency and wavelength are inversely related when the speed is same. So if the frequency is doubled, then wavelength becomes half of the initial length.
Nothing happens
If the frequency becomes double what it was, then the wavelength becomes 1/2 of what it was.
If the frequency is doubled, the wavelength of the wave will be halved. This is because the speed of the wave remains constant, so as frequency increases, the wavelength decreases to maintain that 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.
Speed = wavelength x frequency, so wavelength = speed / frequency. Therefore, the wavelength is inversely proportional to the frequency. Double the frequency means half the wavelength.
The frequency also doubles of the wave length stays the same. Remember that Velocity = (the wavelength) x (the frequency)
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).