The SI unit of length is a meter, which is defined as the length equal to 1,650,763.73 wavelengths of light emitted by a particular energy transition in krypton atoms.
Calculate the frequency of the light to three significant figures.
4.95*10^14 HZ
1650763.73X_________________=1metre
=86 krypton
To calculate the frequency of light emitted by the energy transition in krypton atoms, we need to know the speed of light and the wavelength of the light.
The speed of light, denoted as "c," is a constant value defined as 299,792,458 meters per second (m/s).
The wavelength, denoted as "λ," is given as 1,650,763.73 wavelengths.
To calculate the frequency, we can use the equation:
c = λ * f
where:
c = speed of light,
λ = wavelength,
f = frequency.
To solve for the frequency, rearrange the equation:
f = c / λ
Let's substitute the values:
f = 299,792,458 m/s / 1,650,763.73 wavelengths
Now, divide the speed of light by the given wavelength to find the frequency:
f ≈ 181,456 Hz
Therefore, the frequency of the light emitted by the energy transition in krypton atoms is approximately 181,456 Hz to three significant figures.
Let's see. If
1,650,763.73 wavelengths x wavelength = 1 m, and you solve for wavelength = ?
Then c = fw
c = 3E8 m/s
f = frequency = ?
w = from above.
Solve for f.