Final answer:
The wavelength of violet light is nearly 400 nm.
Step-by-step explanation:
Violet light has a frequency of 7.5 × 10¹4 Hz. The range of visible light wavelengths is approximately 400 to 700 nm (or 4 × 10⁷ to 7 × 10⁷ m), with the highest frequency found in violet light. To determine the most approximate wavelength of violet light, we can use the relationship between wavelength and frequency, which states that wavelength multiplied by frequency is equal to the speed of light (c). Given the frequency of violet light, we can rearrange the equation to solve for the wavelength:
wavelength × frequency = speed of light
wavelength × 7.5 × 10¹4 Hz = 3.00 × 10⁸ m/s
wavelength = (3.00 × 10⁸ m/s) / (7.5 × 10¹4 Hz)
wavelength ≈ 400 nm