If a wave has a frequency of 5.5 x 10 to the 14th s -1, what is the wavelength in nm ? 1m = 10 to the 9 th nm
Now what
To find the wavelength of a wave, you can use the equation:
Wavelength (λ) = Speed of light (c) / Frequency (f)
The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second (m/s).
Given the frequency of the wave as 5.5 x 10^14 s^-1, we can substitute these values into the equation:
λ = (3.00 x 10^8 m/s) / (5.5 x 10^14 s^-1)
Now, we can simplify and calculate the wavelength:
λ = (3.00 x 10^8) / (5.5 x 10^14) = 5.45 x 10^-7 meters
To convert this wavelength from meters to nanometers, we can use the conversion factor:
1 meter (m) = 10^9 nanometers (nm)
So, to convert the wavelength from meters to nanometers, we multiply the wavelength by 10^9:
Wavelength (nm) = (5.45 x 10^-7 meters) * (10^9 nm/m) = 5.45 x 10^2 nm
Therefore, the wavelength of the wave is approximately 545 nm.