Question

При переходе луча света из одной среды в другую угол падения равен 45 градусов,найти угол преломления, если относительный показатель преломления первой среды относительно второй равен 1,2. Ответ записать в градусах.

Answer 1

Образец:

Дано:

α = 60°

β = 30°

_______

n - ?

Запишем закон преломления света:

n = sin α / sin β

Подставляем данные:

n = sin 60° / sin 30°

sin 60° = √3 / 2 ≈ 0,866

sin 30° = 0,500

n = 0,866 / 0,500 ≈ 1,73

Answer 2

Calculation of the Angle of Refraction

To find the angle of refraction when a light ray passes from one medium to another, we can use Snell's law. Snell's law states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the velocities of light in the two media.

The formula for Snell's law is as follows:

n₁ * sin(θ₁) = n₂ * sin(θ₂)

Where: - n₁ is the refractive index of the first medium, - θ₁ is the angle of incidence, - n₂ is the refractive index of the second medium, and - θ₂ is the angle of refraction.

In this case, the angle of incidence is given as 45 degrees, and the relative refractive index of the first medium with respect to the second medium is given as 1.2.

Let's calculate the angle of refraction using Snell's law.

Solution:

Given: - Angle of incidence (θ₁) = 45 degrees - Relative refractive index (n₁/n₂) = 1.2

Using Snell's law, we have:

n₁ * sin(θ₁) = n₂ * sin(θ₂)

Substituting the given values:

1.2 * sin(45) = 1 * sin(θ₂)

Simplifying the equation:

sin(θ₂) = (1.2 * sin(45)) / 1

Using a scientific calculator, we can find the value of sin(45) as 0.7071.

sin(θ₂) = (1.2 * 0.7071) / 1

sin(θ₂) = 0.8485

To find the angle of refraction (θ₂), we can take the inverse sine (sin⁻¹) of 0.8485.

θ₂ = sin⁻¹(0.8485)

Using a scientific calculator, we find:

θ₂ ≈ 57.26 degrees

Therefore, the angle of refraction is approximately 57.26 degrees.

Please note that the above calculation assumes that the angle of incidence is measured with respect to the normal to the surface of the first medium.