To calculate the wavelength (λ) given two frequencies (f1 and f2) and a velocity (v), you can use the formula:
λ = v / Δf
Where:
- λ is the wavelength in meters (m),
- v is the velocity or speed of the wave in the medium in meters per second (m/s), and
- Δf is the difference in frequencies in hertz (Hz), calculated as Δf = |f2 - f1|.
Here's a step-by-step guide to calculate the wavelength:
Determine the difference in frequencies (Δf) by subtracting the lower frequency (f1) from the higher frequency (f2). Take the absolute value of the difference to ensure a positive value for Δf. Mathematically, it can be expressed as: Δf = |f2 - f1|.
Divide the velocity (v) by the difference in frequencies (Δf) to find the wavelength (λ). The formula is: λ = v / Δf.
By substituting the values of the velocity and the frequency difference into the formula, you can calculate the wavelength.
Please note that the units of the velocity and frequencies should be consistent. For example, if the velocity is given in meters per second (m/s), the frequencies should be in hertz (Hz). If the velocity is given in a different unit, such as kilometers per hour (km/h), it needs to be converted to meters per second before using it in the calculation.