An ultraviolet light wave has a wavelength of 300 nm and speed of 1.96 × 10⁸ m/s through a transparent medium.What is the frequency of this wave in the medium? (1 nm = 10−⁹ m and c = 3.00 × 10⁸ m/s)

Question

Quizplus · Accepted Answer

The formula to calculate frequency is:
frequency = (speed of light in vacuum) / wavelength

First, we need to convert the wavelength from nanometers to meters:
300 nm = 300 x 10^-9 m

Then, we can use the formula and substitute the values:
frequency = (3.00 x 10^8 m/s) / (300 x 10^-9 m)
frequency = 1.00 x 10^15 Hz

However, the wave is not travelling in a vacuum but through a transparent medium. Therefore, we need to use the given speed of the wave in the medium:
frequency = (1.96 x 10^14 m/s) / (300 x 10^-9 m)
frequency = 6.53 x 10^14 Hz

Therefore, the frequency of the ultraviolet light wave in the medium is 6.53 x 10^14 Hz, which corresponds to choice C.

An Ultraviolet Light Wave Has a Wavelength of 300 Nm