Question

Угол преломления 33 граадуса, показатель преломления 1,33, Найдите угол падения

Answer 1

Угол падения относится к углу преломления, как относятся друг к другу показатели преломления переходящих сред. α₁/α₂ = n₁/n₂.
Искомое - α₁.
α₁=n₁/n₂ * α₂ = 1/1.33 * 33 = 25° 
Ответ:25° 

Answer 2

Finding the Angle of Incidence

To find the angle of incidence given the angle of refraction and the refractive index, we can use Snell's law. Snell's law states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media involved.

Mathematically, Snell's law can be expressed as:

n₁ * sin(θ₁) = n₂ * sin(θ₂)

Where: - n₁ is the refractive index of the medium the light is coming from (in this case, air or vacuum), - θ₁ is the angle of incidence, - n₂ is the refractive index of the medium the light is entering (in this case, the medium with a refractive index of 1.33), - θ₂ is the angle of refraction.

In this case, we are given: - The angle of refraction (θ₂) is 33 degrees, - The refractive index (n₂) is 1.33.

To find the angle of incidence (θ₁), we can rearrange Snell's law as follows:

sin(θ₁) = (n₂ / n₁) * sin(θ₂)

Let's substitute the given values into the equation and calculate the angle of incidence.

Using the given values: - Angle of refraction (θ₂) = 33 degrees, - Refractive index (n₂) = 1.33.

We need to determine the refractive index of air (n₁). The refractive index of air is approximately 1.0003.

Substituting the values into the equation:

sin(θ₁) = (1.33 / 1.0003) * sin(33)

Now, we can calculate the angle of incidence (θ₁) using the equation:

θ₁ = arcsin((1.33 / 1.0003) * sin(33))

Calculating the value using a calculator or software, we find that the angle of incidence (θ₁) is approximately 47.2 degrees.

Please note that the value of the refractive index of air (n₁) used in this calculation is an approximation and may vary slightly depending on factors such as temperature and pressure.

Conclusion

Given an angle of refraction of 33 degrees and a refractive index of 1.33, the angle of incidence is approximately 47.2 degrees.