Wave velocity is inversely proportional to what?
For light, it is inversely proportional to the index of refraction.
For sound in a gas, it is inversely proportional to the square root of the molecular weight.
The answer depends upon the type of wave you are talking about.
To determine what wave velocity is inversely proportional to, we need to understand the formula for wave velocity and identify the variables involved. The formula for wave velocity is:
v = λ * f
Where:
v is the wave velocity,
λ (lambda) is the wavelength of the wave, and
f is the frequency of the wave.
To determine what wave velocity is inversely proportional to, we can rearrange the formula to isolate the wave velocity:
v = λ * f
v/f = λ
From the equation, we can see that the wave velocity (v) is directly proportional to the wavelength (λ) and inversely proportional to the frequency (f). This means that as the frequency increases, the wave velocity decreases, and vice versa. Similarly, as the wavelength increases, the wave velocity decreases, and vice versa.
Therefore, wave velocity is inversely proportional to frequency and directly proportional to wavelength.