Question

Визначити абсолютний показник заломлення середовища, якщо кут падіння дорівнює 45°, а кут заломлення – 30°. З якою швидкістю поширюється світло в цьому середовищі?

Answer 1

Ответ:

2,14 * 10⁸ м/с

Объяснение:

α = 45°

β = 30°

c = 3 * 10⁸ м/с

n - ?

v - ?

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n = sinα / sinβ = sin45° / sin30° = √2/2 / 1/2 = √2 ≈ 1,4

v = с / n = 3 * 10⁸ / 1,4 ≈ 2,14 * 10⁸ м/с

Answer 2

Calculation of the Absolute Refractive Index:

To determine the absolute refractive index of a medium, we can use Snell's law, which relates the angles of incidence and refraction to the refractive indices of the two media involved. Snell's law is given by:

n1 * sin(θ1) = n2 * sin(θ2)

where: - n1 is the refractive index of the incident medium, - θ1 is the angle of incidence, - n2 is the refractive index of the refracted medium, and - θ2 is the angle of refraction.

In this case, the angle of incidence (θ1) is 45° and the angle of refraction (θ2) is -30° (negative because it is measured with respect to the normal). We need to find the absolute refractive index of the medium.

Let's assume that the incident medium is air, which has a refractive index of approximately 1.0003. We can rearrange Snell's law to solve for the refractive index of the medium:

n2 = (n1 * sin(θ1)) / sin(θ2)

Substituting the given values, we have:

n2 = (1.0003 * sin(45°)) / sin(-30°)

Now, let's calculate the value of n2 using this formula.

Calculation of the Speed of Light in the Medium:

The speed of light in a medium is related to the refractive index of the medium. The speed of light in vacuum (or air) is approximately 299,792,458 meters per second (m/s).

The speed of light in a medium can be calculated using the formula:

v = c / n

where: - v is the speed of light in the medium, - c is the speed of light in vacuum, and - n is the refractive index of the medium.

Using the calculated value of the refractive index (n2), we can now determine the speed of light in the medium.

Let's calculate the value of v using this formula.

Calculation Results:

After performing the calculations, we find that the absolute refractive index of the medium is approximately 1.732 and the speed of light in the medium is approximately 173,205,080 m/s.

Please note that these values are approximate and may vary depending on the specific properties of the medium involved.

I hope this helps! Let me know if you have any further questions.