Question

Световой луч падает под углом 60градусов к нормали.На границу раздела воздуха-стекло.Найти угол падения луча в градусах

Answer 1

Угол падения известен.
Найдем угол преломления
n = sin α / sin β
sin β = sin α/n =√3 /(2*1,5) = √3/3 ≈ 0,5774  или 33°

Answer 2

Calculation of the Angle of Incidence

To find the angle of incidence of a light ray that is incident on the boundary between air and glass at an angle of 60 degrees to the normal, we can use the relationship between the angles of incidence and refraction at the boundary.

According to Snell's law, the relationship between the angles of incidence and refraction is given by:

sin(angle of incidence) / sin(angle of refraction) = refractive index of air / refractive index of glass.

In this case, the refractive index of air is approximately 1, and the refractive index of glass is typically around 1.5.

Let's calculate the angle of incidence:

sin(angle of incidence) / sin(angle of refraction) = 1 / 1.5

We can rearrange the equation to solve for the angle of incidence:

sin(angle of incidence) = (1 / 1.5) * sin(angle of refraction)

Since the angle of refraction is not given, we need to find it using the relationship between the angles of incidence and refraction:

angle of incidence + angle of refraction = 90 degrees

Substituting this into the equation, we have:

sin(angle of incidence) = (1 / 1.5) * sin(90 - angle of incidence)

Now, we can solve for the angle of incidence using the given information:

sin(angle of incidence) = (1 / 1.5) * sin(90 - 60)

Calculating the value:

sin(angle of incidence) = (1 / 1.5) * sin(30)

Using the trigonometric identity sin(30) = 0.5, we can substitute this value:

sin(angle of incidence) = (1 / 1.5) * 0.5

Simplifying the equation:

sin(angle of incidence) = 0.3333

To find the angle of incidence, we can take the inverse sine (arcsine) of both sides:

angle of incidence = arcsin(0.3333)

Using a calculator, we find that the angle of incidence is approximately 19.47 degrees.

Therefore, the angle of incidence of the light ray on the boundary between air and glass is approximately 19.47 degrees.