Yellow light with a wavelength of 5.89 x 10-7m travels through quartz glass with a speed of 1.94 x 108 m/s. what is the frequency of the light? a) 3.29 hz b) 3.04 x 10^-15 hz c) 30.36 hz d) 3.29 x 10^14 hz

The frequency of the light is 3.29*10¹⁴ Hz (option D)

Explanation:

The wavelength is the minimum distance between two points of the wave that are in the same state of vibration.

Frequency is the number of vibrations that occur in a unit of time.   That is, it is a magnitude that measures the number of repetitions per unit of time of any phenomenon or periodic event.

The speed of propagation is the speed with which the wave propagates in the middle. In other words, the speed of propagation of a wave is the magnitude that measures the speed at which the disturbance of the wave propagates along its displacement and depends on the medium in which it propagates. Relate wavelength (λ) and frequency (f) inversely proportionally using the following equation:

v = f * λ.

Then,  calculate the frequency is possible by:

f= v/λ

In this case you know:

So:

f=3.29*10¹⁴ Hz

The frequency of the light is 3.29*10¹⁴ Hz (option D)