Question

What is the frequency of a wave with a wavelength of 543 nm?

A) 5.49 x 10^8 Hz.
B) 5.49 x 10^14 Hz.
C) 1.83 x 10^8 Hz.
D) 1.83 x 10^14 Hz.

Answer 1

The frequency of a wave with a wavelength of 543 nm is approximately 5.49 × 10^14 Hz.

Step-by-step explanation:

The formula to calculate the frequency of a wave is speed of light = wavelength × frequency. To find the frequency, we can rearrange the formula to frequency = speed of light / wavelength. Plugging in the values, we get: frequency = 3 × 10^8 m/s / 543 nm.

Since the wavelength is given in nanometres, we need to convert it to meters by dividing by 10^9. The calculation becomes frequency = 3 × 10^8 m/s / (543 nm / 10^9).

Simplifying further, we get frequency = 3 × 10^8 m/s / (5.43 × 10^-7 m), which is approximately 5.49 × 10^14 Hz. The answer is option B.