Question

луч света падает из воздуха на поверхность жидкости под углом 40 градусов и преломляется под углом 25 градусов. При каком угле падения луча угол преломления будет равен 20 градусов

Answer 1

$\frac{sina}{sinb}=\frac{n_1}{n_2}$

Откуда найдем показатель преломления жидкости, зная что показатель преломления воздуха равен единице:

$n_2=\frac{sinb}{sina}=1,52$

Второй случай когда угол преломления равен 20 градусов:

$\frac{sinx}{sin20}=\frac{1}{1,52}$

$sinx=\frac{sin20}{1,52}=0,22$

$x\approx12^o$

 

Answer 2

Calculation of the Angle of Incidence

To find the angle of incidence at which the angle of refraction will be 20 degrees, 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 states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the refractive indices of the two media. Mathematically, it can be expressed as:

sin(angle of incidence) / sin(angle of refraction) = refractive index of medium 2 / refractive index of medium 1 .

In this case, the angle of incidence is the unknown we need to find, and the angle of refraction is given as 20 degrees. Let's denote the angle of incidence as x.

Using Snell's law, we can set up the following equation:

sin(x) / sin(20) = refractive index of medium 2 / refractive index of medium 1

Since the refractive indices of the media are not given, we cannot solve for the exact value of the angle of incidence. However, we can still discuss the general approach to finding the angle of incidence.

To find the angle of incidence, we need to know the refractive indices of the two media involved. The refractive index of a medium is a measure of how much light slows down when passing through that medium compared to its speed in a vacuum. Different materials have different refractive indices.

Without the specific refractive indices, we cannot calculate the exact angle of incidence. However, we can discuss the general approach to finding it once the refractive indices are known.

Please provide the refractive indices of the two media involved, and I will be able to help you calculate the angle of incidence.