Final answer:
The frequency of violet light with a wavelength of 4.10 × 10^-12 m is approximately 7.32 × 10^19 Hz, calculated using the speed of light formula c = λf.
Step-by-step explanation:
To find the frequency of violet light with a given wavelength, we can use the formula for the speed of light:
c = λf
Where c is the speed of light in a vacuum (3.00 × 108 m/s), λ (lambda) is the wavelength, and f is the frequency.
We know that the wavelength (λ) is given as 4.10 × 10-12m. Plugging the values into the equation:
3.00 × 108 m/s = (4.10 × 10-12 m) × f
We can solve for the frequency (f) by dividing both sides by the wavelength:
f = (3.00 × 108 m/s) / (4.10 × 10-12 m)
Frequency (f) = 7.32 × 1019 Hz
Therefore, the frequency of violet light with a wavelength of 4.10 × 10-12m is approximately 7.32 × 10^19 Hz.