Yes, it is possible to calculate the difference in wavelengths (λ2 - λ1) and then use the relationship between frequency and wavelength (ν2 - ν1) = c / (λ2 - λ1), where ν represents frequency and c represents the speed of light.
To explain further, the relationship between frequency (ν), wavelength (λ), and the speed of light (c) is given by the equation: c = νλ. This equation states that the product of frequency and wavelength is equal to the speed of light.
If you have two different wavelengths (λ2 and λ1) and you want to calculate the difference in frequencies (ν2 - ν1), you can rearrange the equation c = νλ as follows:
ν2 - ν1 = c / λ2 - c / λ1
You can then simplify further by finding a common denominator:
ν2 - ν1 = (c * (λ1 - λ2)) / (λ1 * λ2)
Alternatively, you can express the difference in wavelengths (λ2 - λ1) as Δλ and write the equation as:
ν2 - ν1 = c / Δλ
This equation allows you to directly calculate the difference in frequencies based on the difference in wavelengths.
It's important to note that the above calculations assume that the speed of light (c) is constant and that the wavelengths are in the same medium. Additionally, these calculations apply specifically to electromagnetic waves, such as light. For other types of waves, different relationships between frequency, wavelength, and speed may exist.