Question

Violet light has a wavelength of about 410 nm. What is its frequency?

a) 7.3 × 10¹⁴ Hz
b) 7.3 × 10¹⁵ Hz
c) 2.9 × 10⁶ Hz
d) 2.9 × 10⁷ Hz

Answer 1

The frequency of violet light with a wavelength of 410 nm is 7.3 × 10⁴ Hz, calculated using the speed of light and the wavelength-to-frequency formula.

Step-by-step explanation:

The wavelength of violet light is given as approximately 410 nm. To find its frequency, we use the speed of light equation, c = λν, where λ is the wavelength, ν is the frequency, and c is the speed of light in a vacuum (3.0 × 10⁸ m/s). Converting the wavelength to meters, we have 410 nm = 410 × 10⁻⁹ m. Now, we solve for the frequency, ν = c / λ, which gives us ν = (3.0 × 10⁸ m/s) / (410 × 10⁻⁹ m). This simplifies to approximately 7.3 × 10⁴ Hz, which corresponds to option (a).

Thus, the correct answer is:
a) 7.3 × 10⁴ Hz