The light beam in the figure
below strikes surface 2 at the critical angle, θc = 42°. Determine
the angle of incidence, θi.
°
The concept required to solve the given problem is Snell’s law of refraction.
Initially, find the refractive index of glass when light strikes surface 2 using equation of Snell’s law. After that, use the triangle law to find the angle of refraction when light strikes surface 1. Use the angle of refraction and refractive index value to find the angel of incidence.
The Snell’s law of refraction relates the angle of incidence and refraction with the refractive index value. Mathematically, it is given as follows:
Here, is the refractive index of first medium, is the refractive index of second medium, is the angle that ray makes with the normal in medium 1 and is the angle that ray makes with the normal in medium 2.
The following figure shows the angle made by light beam with surface 1 and 2.
Here, is the refractive index of first medium (air), is the refractive index of second medium(glass), is the angle of refraction when light strikes surface 1 and is the critical angle.
Snell’s law equation when light beam strikes surface 2 is,
Substitute 1 for and for in equation .
In ,
From figure,
Substitute for in equation .
Substitute for in equation .
From figure,
Substitute for in equation and calculate the angle of refraction as follows:.
Snell’s law equation when light beam strikes surface 1 is,
Substitute 1 for , 1.49 for and for in equation .
Ans:
The angle of incidence is .
The light beam in the figure below strikes surface 2 at the critical angle, θc =...
The light beam in the figure below strikes surface 2 at the critical angle, theta_c = 42 degree. Determine the angle of incidence, theta_1. Degree
The light beam in the figure enters through the top surface from the air and attempts to leave through the right side but strikes the interface at the critical angle of 42.0°. Determine the angle of incidence 01. 60.00 42.00 42.00
a beam of monochromatic light strikes the interface between air and cedar oil (n=1.52) at angle θi and it follows the path show in the figure: the beam strikes the cedar oil water interface at angle a (a=12.8 ° ) and it enters water at angle θi. what is the incident angle θi ? (N air = 1 and N water = 1.33) θi = __________ ° Air Safflower oil Water 18,
A beam of white light is incident on the surface of a diamond at an angle θa. (Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. For example, the indices of refraction in diamond are nred=2.410 for red light and nblue=2.450 for blue light. Thus, blue light and red light are refracted at different angles inside the diamond, as shown in...
A beam of light strikes the surface of water at an incidence angle of 60°. Determine the directions of the reflected and refracted rays. For water, n=1.33. A- (a) 30° reflected into air, (b) 22° refracted into water B- (a) 60° reflected into air, (b) 41° refracted into water C- (a) 90° reflected into air, (b) 60° refracted into water D- (a) 41° reflected into air, (b) 30° refracted into water
The light ray in the figure below strikes the hypotenuse of the prism at an angle of incidence greater than the critical angle. Find the angle phi of the ray as it leaves the base of the prism. The incident ray is perpendicular to the left side of the prism. (The index of refraction of the prism is 1.5. Take θ to be 44.9°.)
The light ray in the figure below strikes the hypotenuse of the prism at an angle of incidence greater than the critical angle. Find the angle ϕ of the ray as it leaves the base of the prism. The incident ray is perpendicular to the left side of the prism. (The index of refraction of the prism is 1.5. Take θ to be 43.8°.)
3. Using Snell's law and the fact the when a light beam strikes a surface the angle of incidence equals the angle of reflection, draw a diagram and label the angles when a ray of light strikes an interface at 25° to the normal, where the light is in a medium with n=1.0 and the material it strikes has n=1.8.
a mirror is placed perpendicular to a swimming pool water surface. a narrow beam of light incident on the mirror is reflected on the mirror & then it follows the path shown in the figure . the angle of incidence on the mitror is θi= 36.7° . find the length (a) angle of the incidence θ2 on water surface; (b) the angle of refraction θ3 in water . (nAir = 1 and nWater= 1.33) (a) θ2= _______ (b) θ3=_______ mirror...
3.115 points) a) If a beam of the a beam of light strikes the face of the beam emerge from the right prism? ancidence show, b) At what angle will the light undergo total internal reflection inside of the left prim? (Critical angel c) At what angle of incidence with the left prism would the beam undergo total internal reflection at the interface of the prisms?