Mycobacterium tuberculosis, the organism that causes tuberculosis can be completely destroyed by irradiation with UV light with a wavelength of 254nm. What is the frequency of this radiation in scientific notation?
I got 1180285267
or 1.18 x 10^9
Is this correct?
No. Show your work.
To find the frequency of radiation, we can use the equation:
c = λ * ν
Where:
c is the speed of light (approximately 3.00 x 10^8 meters per second)
λ is the wavelength of the radiation in meters
ν is the frequency of the radiation in hertz (Hz)
Since the wavelength of the UV light is given as 254 nm (nanometers), we need to convert it to meters. There are 1 billion nanometers in a meter, so:
λ = 254 nm = 254 x 10^-9 meters = 2.54 x 10^-7 meters
Now, we can rearrange the equation to solve for the frequency:
ν = c / λ
ν = (3.00 x 10^8 meters per second) / (2.54 x 10^-7 meters)
ν = 1.181 x 10^15 Hz
Therefore, the frequency of the UV light with a wavelength of 254 nm is approximately 1.181 x 10^15 Hz in scientific notation.