What is the wavelength of light that has a frequency of 6.80E+14 Hz. Express the wavelength in nanometers
c = fw
c = speed of light in m/s
f = frequency
w = wavelength in m.
Substitute and solve for w in m and convert to nm.
To find the wavelength of light with a given frequency, we can use the equation:
wavelength = speed of light / frequency
The speed of light is a constant value, approximately 3.00 x 10^8 meters per second (m/s).
Given the frequency of 6.80E+14 Hz, we can substitute the values into the equation:
wavelength = (3.00 x 10^8 m/s) / (6.80 x 10^14 Hz)
To express the wavelength in nanometers, we need to convert meters to nanometers. Since 1 meter is equal to 1,000,000,000 (1 billion) nanometers, we can divide the result by 1 billion:
wavelength (in nanometers) = wavelength (in meters) / 1,000,000,000
Let's calculate the wavelength now:
wavelength (in meters) = (3.00 x 10^8 m/s) / (6.80 x 10^14 Hz)
wavelength (in meters) ≈ 4.41 x 10^-7 meters
Now, we can convert the wavelength to nanometers:
wavelength (in nanometers) = (4.41 x 10^-7 meters) / (1,000,000,000)
wavelength (in nanometers) ≈ 441 nanometers
Therefore, the wavelength of light with a frequency of 6.80E+14 Hz is approximately 441 nanometers.