Question

Длина световой волны в воде 510 нм, частота-440 ТГц. Найдите показатель преломления и скорости света в воде

Answer 1

Показатель преломления воды n=c/v. Скорость света в воде v связана с длиной волы  Δ=vT=v/β, v=Δβ, здесь вместо принятых обозначений длины волны лямбда использовано Δ и вместо частоты ню β.
 n=c/Δβ=3*10^8/510*10^(- 9*)440*10^12=1,33, v=51*44*10^5=2,244*10^8 м/c.

Answer 2

Calculation of Refractive Index and Speed of Light in Water

To find the refractive index and speed of light in water, we can use the following formulas:

Refractive Index (n) = Speed of Light in Vacuum (c) / Speed of Light in Medium (v)

Speed of Light in Medium (v) = Speed of Light in Vacuum (c) / Refractive Index (n)

Given: - Wavelength in water = 510 nm - Frequency = 440 THz

To calculate the refractive index, we need to convert the wavelength from nanometers to meters:

Wavelength in water (λ) = 510 nm = 510 x 10^-9 meters

Now, we can use the formula for the speed of light in vacuum to find the speed of light in water:

Speed of Light in Vacuum (c) = 299,792,458 meters per second

Speed of Light in Water (v) = Speed of Light in Vacuum (c) / Refractive Index (n)

Let's calculate the refractive index and speed of light in water:

Calculation:

Wavelength in water (λ) = 510 x 10^-9 meters

Speed of Light in Vacuum (c) = 299,792,458 meters per second

Refractive Index (n) = Speed of Light in Vacuum (c) / Speed of Light in Water (v)

Refractive Index (n) = 299,792,458 meters per second / Speed of Light in Water (v)

Speed of Light in Water (v) = Speed of Light in Vacuum (c) / Refractive Index (n)

Using the given values, we can calculate the refractive index and speed of light in water:

Wavelength in water (λ) = 510 x 10^-9 meters

Speed of Light in Vacuum (c) = 299,792,458 meters per second

Refractive Index (n) = 299,792,458 meters per second / Speed of Light in Water (v)

Refractive Index (n) = 299,792,458 meters per second / (299,792,458 meters per second / Refractive Index (n))

Refractive Index (n) = 1

Speed of Light in Water (v) = Speed of Light in Vacuum (c) / Refractive Index (n)

Speed of Light in Water (v) = 299,792,458 meters per second / 1

Speed of Light in Water (v) = 299,792,458 meters per second

Therefore, the refractive index of water is 1 and the speed of light in water is 299,792,458 meters per second.

Please note that the speed of light in a medium can vary slightly depending on factors such as temperature and pressure. The value provided here is an approximate value for normal conditions.