Question

What is the frequency of a 5.35 x 10^-3 nm wave?

a) 1.87 x 10^14 Hz
b) 1.87 x 10^11 Hz
c) 1.87 x 10^17 Hz
d) 1.87 x 10^8 Hz

Answer 1

The frequency of a wave can be found using the formula f = c / λ, where f is the frequency, c is the speed of light, and λ is the wavelength. Applying this formula to the given wavelength of 5.35 x 10^-3 nm, the frequency of the wave is approximately 5.61 x 10^19 Hz.

Step-by-step explanation:

The frequency of a wave can be found using the formula:

f = c / λ

Where f is the frequency, c is the speed of light (approximately 3 x 108 meters per second), and λ is the wavelength.

In this case, the wavelength is given as 5.35 x 10-3 nanometers (nm).

Converting the wavelength to meters:

5.35 x 10-3 nm = 5.35 x 10-12 meters

Substituting the values into the formula:

f = (3 x 108 m/s) / (5.35 x 10-12 m)

Simplifying the expression:

f = 5.61 x 1019 Hz

Therefore, the frequency of the wave is approximately 5.61 x 1019 Hz.