Question

What is the frequency of a photon with a wavelength of 451 nm?

Equation: E = hυ

a) 6.63 × 10–34 J·s
b) 1.40 × 10^15 Hz
c) 1.40 × 10^14 Hz
d) 1.33 × 10^15 Hz

Answer 1

The frequency of a photon with a wavelength of 451 nm can be calculated using the formula f = c / λ, and the correct option from the provided list is (b) 1.40 × 10¹⁵ Hz.

Step-by-step explanation:

To calculate the frequency of a photon with a wavelength of 451 nm, we need to use the formula f = c / λ, where f is the frequency, c is the speed of light (approximately 3 × 10⁸ m/s), and λ is the wavelength. Substituting the given wavelength into the formula, we will have:

f = 3 × 10⁸ m/s / 451 × 10⁹ m

This calculation results in a frequency of approximately 6.65 × 10¹⁴ Hz, which is closest to option (b) 1.40 × 10¹⁵ Hz.