Light in air (assume n = 1) strikes the surface of a liquid of index of refraction nℓ at the polarizing angle. The part of the beam refracted into the liquid strikes a submerged slab of material with refractive index n as shown. The light reflected from the upper surface of the slab is completely polarized. Find the angle θ between the water surface and the surface of the slab as a function of n and nℓ.

Light in air (assume n = 1) strikes the surface of a liquid of index of refraction nℓ at the polarizing angle. The part of the beam refracted into the liquid strikes a submerged slab of material with refractive index n as shown. The light reflected from the upper surface of the slab is completely polarized. Find the angle θ between the water surface and the surface of the slab as a function of n and nℓ.

Similar questions

A system of three polarizing sheets is placed in the path of initially unpolarized light. The polarizing direction of the first sheet, P1, is parallel to the y-axis, that of the second sheet, P2, is 60o counterclockwise from the y-axis, and that of the third sheet, P3, is parallel to the x-axis. Determine the fraction of the initial intensity Io of the light emerges from the system, i.e. ratio I0/I3. A. 0.092 B. 3.19 C. 10.9 D. 6.66
Three polarizing filters are arranged in such a way that the axis of the transmission of the second filter is 10 degress with respect to the first filter. The third filter's axis is 20 degrees with respect to the second filter. Find the intensity of a light after passing from the second filter that has an original intensity of 10 W/m^2. Assume that the first polarizer is an ideal polarizer.
Please
A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction? Calculate to 1decimal.
In Figure (a) below, unpolarized light is sent into a system of three polarizing sheets. The angles 8₁, 82, and 83 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 8₁ and 83 are fixed, but angle 82 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 82. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the system when 82 = 34⁰? (a) M 90° (b) 18002
The axes of a polarizer and an analyzer are oriented at 30° to each other. (a) If unpolarized light of intensity I is incident on them, what is the intensity of the transmitted light? (b) Polarized light of intensity I is incident on this polarizer-analyzer system. If the amplitude of the light makes an angle of 30° with the axis of the polarizer, what is the intensity of the transmitted light?
An unpolarized beam of light with an intensity of 5000 W/m2 is incident on two ideal polarizing sheets. If the emerging light has an intensity 0.200 times the original intensity of the incident beam, what is the angle between the two polarizers?
In Figure (a) below, unpolarized light is sent into a system of three polarizing sheets.The angles 0₁, 02, and 83 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 0₁ and 83 are fixed, but angle 82 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 0₂. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the three-sheet system when 82 = 92⁰? Number Units 60° (b) 120° 180-
Light traveling in air strikes a flat piece of uniformly thick glass at an incident angle of 60°, as shown in the figure. If the refractive index of the glass is 1.5 a) what is the angle of refraction θ_A in the glass?; b) What is the angle θ_B with which the ray leaves the glass?
Light is incident from one medium with an index of refraction of 2.31 at an angle of 27.14 degrees with respect to the normal to the surface. The light then passes into another medium with a refractive index 1.35.With what angle is the light refracted with respect to the surface normal?
An engineer is carrying out an experiment to determine the index of refraction for a partially reflective material. To do this, she aims a narrow beam of light at a sample of this material, which has a smooth surface. She then varies the angle of incidence. (The incident beam is traveling through air.) The light that gets reflected by the sample is completely polarized when the angle of incidence is 59.5°. (a)What index of refraction describes the material? n = (b)If some of the incident light (at ?i = 59.5°) enters the material and travels below the surface, what is the angle of refraction (in degrees)?
The indices of refraction of quartz for right-handed and left-handed circularly polarised light of wave length 7620 Å are 1.53914 and 1.53920, respectively. Calculate the rotation of the plane of polarisation of the light in degrees produced by a plate 0.5 mm thick.