The node.
Wavelength is halved.
the frequency of the wave increases.
Nothing happens
It stays the same.
It stays the same.
For any wave, the product of (wavelength) x (frequency) is always the same number ... the wave's speed. So, as long as the speed stays the same, neither wavelength nor frequerncy can change without the other one also changing.
The wave length would necessarily be one half. The speed would remain the same independent of the frequency.
If the velocity of a wave increases while the wavelength stays the same, the frequency of the wave will also increase. This is because the speed of a wave is determined by the product of its frequency and wavelength. Therefore, if the speed increases and the wavelength remains constant, the frequency must also increase.
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.
The wave speed stays constant in the same medium, while properties like wavelength and frequency change with different factors.
it doubles
velocity increases