how can you test to see if a light with wavelength 413nm is the same light with a frequency of 6.26*10^14Hz?
6.26E14 x 413E-9 = ? and compare with c = 3E8.
distance = speed * time
and
period = 1/f
413 *10^-9 meters ?=?? 3*10*8 m/s / (6.26 * 10^14)
413 * 10^-9 = .479 *10^-6 ????
413 = 478 ???
not really
To test if a light with a wavelength of 413 nm is the same light with a frequency of 6.26 * 10^14 Hz, we can use the formula relating wavelength and frequency:
c = λν
where c is the speed of light, λ is the wavelength, and ν is the frequency.
1. First, we need to convert the given wavelength from nanometers to meters. Since 1 nm = 1 x 10^-9 m, the wavelength becomes:
λ = 413 nm * (1 x 10^-9 m/1 nm) = 413 x 10^-9 m = 4.13 x 10^-7 m
2. Next, we substitute the values of the wavelength and frequency into the formula to check if they are consistent:
c = λν
3.00 x 10^8 m/s = (4.13 x 10^-7 m)(6.26 x 10^14 Hz)
3. Calculate the right side of the equation:
(4.13 x 10^-7 m)(6.26 x 10^14 Hz) = 2.5838 x 10^8
Now we compare this value to the speed of light, 3.00 x 10^8 m/s:
2.5838 x 10^8 ≈ 3.00 x 10^8
Since the numbers are approximately equal, we can conclude that the light with a wavelength of 413 nm and a frequency of 6.26 x 10^14 Hz represents the same light.