An object pin is placed at the front of a circular container of water as shown in the top-view figure below. The refractive index of water is 1.3. The center of the container is marked with a x. (a) Draw a neatly labeled and somewhat correct ray diagram and determine the location of the image pin as percevied by the observer X. (b) If the refractive index of the liquid were to decrease, would X perceive the location of the image pin to move closer to them, farther from them, or remain unchanged? Please explain your reasoning.
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- 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 glassIn the diagram below, a person uses a laser pointer to illuminate a spot below the surface of a body of water. The beam originates 1.8m above the surface of the water, and is incident to the water 2.4m horizontal away from its origin point. (a) What is the incident angle, θ1? Given the indices of refraction of air and water, (b) what is the angle from the normal of the ray in the water, θ2? (c) How far horizontally from the point of incidence to the bottom of the body of water does the beam land? (What is x?)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
- A light ray is incident perpendicular to the left face of the shown prism made of glass (n = 1.6). What is the largest value of the angle p such that the light ray is totally reflected at the far right face if the prism is surrounded by air? Express your answer to the nearest degree.In order to identify an unknown material you are asked to solve for the critical angle of the material. In order to test this you set up a beam of light that strikes the unknown substance from air (n = 1.0) at an angle of 30° with respect to the normal. It continues on in the substance at an angle of 23° with respect to the normal. What is the critical angle for the unknown substance? 51° 55° 60° 63°Consider a refracting prism shown below. The face opposite the apex (top of the prism) is called the base. The total angle by which light changes direction is called the angle of deviation D. I A to a. Show that nprism = sin(A+D)/2/ sin (A/2) when light passes through the prism symmetrically such that the angles of incidence (1) and emergence (E) are equal (Assume the angle A is 60°) b. Find the deviation angles for blue and red light having indices of refraction 1.652 and 1.618 respectively. c. Sketch what happens when white light is incident on the prism. I
- A beam of light is incident from a liquid on the surface of transparent solid. The angle of incidence is 30°and the angle of refraction is 18°. Draw clear physics diagram of the problem – one for each part of the problem (3 total). label relevant angles. Find the critical angle for this solid when it is surrounded by the liquid. What is the angle between the reflected and refracted rays when the angle of incidence is 3°less than the critical angle?A very large piece of clear ice has a cave man frozen inside it. When viewed at an anglefrom the top of the ice the cave man appears to be 1.00 ft below the surface of the ice.What is the actual depth (in units of inches) of the cave man from the top of the ice?The index of refraction of the ice is 1.309 Do NOT use i for the angle of incidence or r for the refracted angleA block of crown glass is immersed in water as in the figure below. A light ray is incident on the top face at an angle of 38° with the normal and exits the block at point P. (a) Find the vertical distance y from the top of the block to P. 0.0642 m 0.0483 m 0.0353 m 0.0854 m (b) Find the angle of refraction θ2 of the light ray leaving the block at P.