Question

Решите,пожалуйста !!!Световая волна частотой 7,2*10^14 степени при распространении в прозрачной среде имеет длину волны 312,5 нм.Какова скорость света в этой среде ?

Answer 1

Скорость равна произведению длины волны на частоту

Answer 2

Calculation of the Speed of Light in a Transparent Medium

To calculate the speed of light in a transparent medium, we can use the formula:

Speed of light in a medium = Speed of light in a vacuum / Refractive index of the medium

Given that the wavelength of the light wave in the transparent medium is 312.5 nm (nanometers) and the frequency is 7.2 * 10^14 Hz, we can calculate the speed of light in the medium.

Calculation Steps:

1. Convert the wavelength from nanometers to meters: - 312.5 nm = 312.5 * 10^-9 m

2. Use the formula: Speed of light = wavelength * frequency - Speed of light = (312.5 * 10^-9 m) * (7.2 * 10^14 Hz)

3. Calculate the speed of light in a vacuum: - The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).

4. Calculate the refractive index of the medium: - The refractive index of the medium is the ratio of the speed of light in a vacuum to the speed of light in the medium.

5. Use the formula: Speed of light in the medium = Speed of light in a vacuum / Refractive index of the medium

Calculation:

1. Convert the wavelength from nanometers to meters: - 312.5 nm = 312.5 * 10^-9 m = 3.125 * 10^-7 m

2. Calculate the speed of light in a vacuum: - Speed of light = 299,792,458 m/s

3. Calculate the refractive index of the medium: - Refractive index = Speed of light in a vacuum / Speed of light in the medium

4. Use the formula: Speed of light in the medium = Speed of light in a vacuum / Refractive index of the medium

Answer:

The speed of light in the given transparent medium is approximately 2.48 * 10^8 meters per second (m/s).