When the rectangular metal tank in the figure below is filled to the top with an unknown liquid, observer O, with eyes level with the top of the tank, can just see the corner E. A ray that refracts toward O at the top surface of the liquid is shown. If D = 81.0 cm and L = 1.15 m, what is the index of refraction of the liquid?

When the rectangular metal tank in the figure below is filled to the top with an unknown liquid, observer O, with eyes level with the top of the tank, can just see the corner E. A ray that refracts toward O at the top surface of the liquid is shown. If D = 81.0 cm and L = 1.15 m, what is the index of refraction of the liquid?

Similar questions

A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p 10.4 cm from the wall of a bowl of radius |R| = 15.8 cm, as in the figure below. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl. 1.07 Your response differs from the correct answer by more than 10%. Double check your calculations. cm behind the glass
Light enters a substance from air at 45.0° to the normal. It continues within the substance at 25.0° to the normal. What is the critical angle for this substance when it is surrounded by air? 25.2° O Othere is no critical angle O O 60.3° 90.0° 36.8° 45.2°
In the figure, a light ray in air is incident on a flat layer of material 2 that has an index of refraction n₂ = 2.7. Beneath material 2 is material 3 with an index of refraction n3. The ray is incident on the air-material 2 interface at the Brewster angle for that interface. The ray of light refracted into material 3 happens to be incident on the material 2-material 3 interface at the Brewster angle for that interface. What is the value of n3? Number Units 09₂ Air ng ng
Light rays in a material with index of refrection 1.39 can undergo total internal reflection when they strike the interface with another material at a critical angle of incidence. Find the second material's index of refraction n when the required critical angle is 73.3°. n =
Which of the following statements are (or could be) true? Choose all that apply. O A glass at a temperature of 43 K will emit EM waves. O The index of refraction of a newly discovered transparent material is 1.6. In a vacuum, radio waves move the same speed as microwaves. O Total internal reflection will occur if the critical angle is greater than the incident angle. A light ray was reflected. The incident angle was 44° and the reflected angle was 60°. O If do = 0, then d; = f.
A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p = 10.7 cm from the wall of a bowl of radius |R| = 19.2 cm, as in the figure below. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl.cm behind the glass
You are working in a laser laboratory, assisting with an experiment involving gas lasers. Your supervisor explains that the ends of the glass tube containing the lasing gas are sealed with Brewster windows. as shown such a window at one end of a glass laser tube. The laser light reflectedfrom the first surface is shown as the dashed line in the figure, and is completely polarized parallel to the plane of the surface (perpendicular to the page). The light that transmits into the Brewster window and then out the opposite side is partially polarized parallel to the page. (a) Your supervisor asks you to determine the angle θ that a Brewster windowmade from ZnSe (n = 2.67) must make with the horizontal for these conditions to be satisfied. The index of refraction of the gas in the tube is 1.00. (b) After you report your angle to your supervisor, he says that he has seen a possible problem—what about the reflection at the second surface,as the beam leaves the Brewster window? He is afraid…
Calculate the angle of refraction at the air/core interface, r . critical angle, c and incident angle at the core/cladding interface, i . Will this light ray propagate down the fiber? You have the following data: nair = 1, ncore = 1.46, ncladding =1.43, incident =12o Answers: r = 8.2o , c = 78.4o , i = 81.8o light will propagate Formula summery Index of Refraction n= n sin 01= n, sin 0, o = sin1(2) Snell's Law Critical Angle Acceptance angle a= sin1 Numerical Aperture NA = sin a = ni- nị
A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Write an expression for the reflection angle ψ, with respect to the surface.
Light traveling through medium 3 (n3 = 2.4) is incident on the interface with medium 2 (n2 = 2.0) at angle θ. If light does enter into medium 2 but no light enters into medium 1 (n1 = 1.6), what can we conclude about the range of values for θ?
A piece of clear plastic is immersed in a fluid, which has an index of refraction of nfluid = 1.20.When light traveling through the plastic is incident on the boundary with the fluid and makesan angle of 58° or greater with the normal, total internal reflection occurs. What is the index ofrefraction of the plastic?
v