Given small samples of three liquids, you are asked to determine their refractive indexes. However, you do not have enough of each liquid to measure the angle of refraction for light refracting from air into the liquid. Instead, for each liquid, you take a rectangular block of glass (n = 1.52) and place a drop of the liquid on the top surface of the block. You shine a laser beam with wavelength 638 nm in vacuum at one side of the block and measure the largest angle of incidence for which there is total internal reflection at the interface between the glass and the liquid (Figure 1). Your results are given in the table the table below. Liquid A B C Oa () 52.0 44.3 36.3 Figure Air Glass Liquid 1 of 1 ▼ Part A What is the refractive index of liquid A at this wavelength? nA = Submit Part B nB = Submit What is the refractive index of liquid B at this wavelength? Part C IVE ΑΣΦΑ Request Answer nc = IVE ΑΣΦ Request Answer ? What is the refractive index of liquid C at this wavelength? IVE ΑΣΦ ? ?

A light ray is incident at 45° on a glass block immersed inside a liquid of refractive index nL = 1.33 as shown in the figure below. In this configuration, the refractive ray skims the bottom surface. Determine the refractive index of the glass, ng. ng 45° ng = 1.63 ng = 1.7 ng = 1.48 ng = 1.51 O ng = 1.57

X rays are typically used to kill off cancer cells, however an issue some radiologists run into is the damage an x-ray may do to surrounding tissue. Because of this, accuracy plays a key role in radiation therapy. Suppose you are a medical physicist, and you have been given the task of choosing a medium with a proper index of refraction to bend the x rays such that they only hit the tumor. Suppose you know that the x ray comes in at an angle of 20 degrees with respect to the normal of your second medium. You know the tumor expands out to 5 degrees on either side of the normal what is the minimum index of refraction needed for the x ray to hit the tumor

Box answers.

In an ultra-low-temperature experiment, a collection of atoms enter a special state called a Bose-Einstein condensate in which the index of refraction is 1.60 × 107. What is the speed of light in this condensate?

Part (b)  Numerically, what is the angle in degrees?  θ2=  Part (c)  Write an expression for the reflection angle ψ, with respect to the surface.  ψ =   Part (d)  Numerically, what is this angle in degrees?  ψ =

The absolute tolerance is + 0.1 In the figure, light is incident at angle 01= 38° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n = 1.30, n2 = 1.40, n3 = 1.32 and n4 = 1.43, what is the value of (a) 05 and (b) 04? Air 14 (a) O5 = Number Units (b) 04 = Number Units

A thin coating is applied to a lens to protect against UV light. The coating strongly reflects light of wavelength 384 nm and strongly transmits light of wavelength 528 nm (i.e. visible light, near the middle of the visible spectrum.) The index of refraction of the coating material is 1.58 and the lens is made of a material with index 1.48. Find the smallest possible thickness for the coating.

The index of refraction of a glass rod is 1.48 at T = 20.0°C and varies linearly with temperature, with a coefficient of 2.50 x 10-5/C°. The coefficient of linear expansion of the glass is 5.00 x 10-6/C°. At 20.0°C the length of the rod is 3.00 cm. A Michelson interferometer has this glass rod in one arm, and the rod is being heated so that its temperature increases at a rate of 5.00 C°/min. The light source has wavelength λ = 589 nm, and the rod initially is at T = 20.0°C. How many fringes cross the field of view each minute?

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)?