What is the wavelength of radiation that has a frequency of 3.4 x 1011 s–1?
The wavelength can be calculated using the formula:
wavelength = speed of light / frequency
The speed of light is approximately 3.00 x 10^8 m/s.
Therefore, wavelength = (3.00 x 10^8 m/s) / (3.4 x 10^11 s^-1)
wavelength = 0.882 × 10^-3 m or 882 nm (rounded to three significant figures)
To find the wavelength of radiation, you can use the formula:
wavelength = speed of light / frequency
The speed of light is approximately 3.00 × 10^8 meters per second.
Substituting the given frequency:
wavelength = (3.00 x 10^8 m/s) / (3.4 x 10^11 s^(-1))
Let's calculate it step-by-step.
1. Divide the speed of light by the given frequency:
wavelength = (3.00 x 10^8) / (3.4 x 10^11) m
2. Simplify the expression:
wavelength = 0.88 x 10^(-3) m
3. Convert to scientific notation:
wavelength = 8.8 x 10^(-4) m
Therefore, the wavelength of the radiation is approximately 8.8 x 10^(-4) meters.
To find the wavelength of radiation with a given frequency, you can use the equation:
λ = c / f
where λ represents the wavelength, c is the speed of light in a vacuum (approximately 3.0 x 10^8 m/s), and f is the frequency of the radiation.
To calculate the wavelength, you need to substitute the values into the equation:
λ = (3.0 x 10^8 m/s) / (3.4 x 10^11 s^(-1))
Now, let's solve this equation:
λ = 8.823 x 10^(-4) m
Therefore, the wavelength of the radiation with a frequency of 3.4 x 10^11 s^(-1) is approximately 8.823 x 10^(-4) meters.