Question

A wave travels at a constant speed. How does the wavelength

Answer 1

Answer: The wavelength changes by a factor of $\frac{1}{2}$

Explanation:

The equation of the speed $v$ of a wave is:

$v=\lambda f$

Where:

$v$ is the speed, that remains unchanged

$\lambda$ is the wavelength

$f$ is the frequency

Isolating $\lambda$ we have:

$\lamba=\frac{v}{f}$

Now, if we increase the frequency by a factor of 2:

$\lambda=\frac{v}{2f}$

$\lambda=\frac{1}{2} \frac{v}{f}$ This means the wavelength changes by a factor of $\frac{1}{2}$