Final answer:
The wavelength of violet light with a frequency of 7.5 × 10¹⁴ Hz is 4.00 × 10⁻⁷ m. This is found using the equation c = fλ, where c is the speed of light in a vacuum.
Step-by-step explanation:
To calculate the wavelength of violet light that has a frequency of 7.5 × 10¹⁴ Hz, we use the relationship between wavelength (λ), frequency (f), and the speed of light (c), which is c = fλ. Here, c is given as 3.00 × 10¸ m/s, which is the speed of light in a vacuum.
First, rearrange the equation to solve for wavelength: λ = c / f. Plugging in the given values, λ = (3.00 × 10¸ m/s) / (7.5 × 10¹⁴ Hz).
Performing the calculation gives us the wavelength: λ = 4.00 × 10⁻⁷ m. This is the wavelength of the violet light corresponding to the given frequency.