A catfish is 2.2 m below the surface of a smooth lake. (a) What is the diameter of the circle on the surface through which the fish can see the world outside the water? (b) If the fish descends, does the diameter of the circle increase, decrease, or remain the same? Assume that the index of refraction of water is 1.333. (a) Number i Units (b)
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- A ray of light travels from air into another medium, making an angle of ?1 = 45.0° with the normal as in the figure attached. A light ray in air is moving down and to the right and is incident on a second medium. It makes an angle ?1 with the vertical. Inside the vertical, it continues to move down and to the right but at a steeper slope than the incident ray. It makes an angle ?2 with the vertical. (a). Find the angle of refraction ?2 if the second medium is diamond. (b). Find the angle of refraction ?2 if the second medium is polystyrene. (c). Find the angle of refraction ?2 if the second medium is carbon tetrachloride.A ray of monochromatic light is incident on the face of a prism in the shape of an equilateral triangle (that is, the apex angle of the prism is 60.0°). The incidence angle of the light ray is 75.9°. The prism is made of a transparent material with an index of refraction of 1.460 (at the light ray's wavelength). (a) Calculate the angle of refraction at the first surface (in degrees). (Round your answer to at least one decimal place.) (b) Calculate the angle of incidence at the second surface (in degrees). (Round your answer to at least one decimal place.) (c) Calculate the angle of refraction at the second surface (in degrees). (Round your answer to at least one decimal place.) (d) Calculate the angle between the incident and emerging rays (in degrees). (Round your answer to at least one decimal place.)A light propagates in Material 1 with index of refraction n1 = 1.13, strikes an interface, then passes into Material 2 with an index of refraction n2 = 1.41. The angle of incidence at the interface is 27.5. Determine the angle of refraction
- A light ray travelling in medium a is refracted into medium b. The angle of incidence is 50.5° and the angle or refraction is 60.8°. Both angles are measured from the normal to the interface. What is the ratio of the index of refraction of medium a to that of medium b?A light beam reflects off two parallel reflecting surfaces that are = 202 cm long and separated by a distance of s = 65.0 cm. If the beam of light enters this region as shown, with the angle 0 = 25.1°, determine the following. Ꮎ (a) the number of times the light beam reflects off the left surface Have you redrawn the figure with all angles and distances labeled? How is the entrance angle related to the angle of Incidence and the angle of reflection for the mirrors? times (b) the number of times the light beam reflects off the right surface timesA beaker with a mirrored bottom is filled with a liquid whose index of refraction is nliq = 2.37. A light ray from air strikes the top surface of the liquid at an incident angle θin = 72.9° from the normal line to the liquid surface, as shown in the figure. What is the refraction angleθ1 of the light ray as it enters the liquid (in degrees; remember to use the scientific notation of numbers)?
- The index of refraction for red light in water is 1.331 and that for blue light is 1.340. If a ray of white light enters the water at an angle of incidence of 50.15°, what are the underwater angles of refraction for the blue and red components of the light? (Enter your answers to at least two decimal places.) (a) blue component (b) red componentX 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 tumorA 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.
- The refractive index of a transparent material can be determined by measuring the critical angle when the solid is in air. If 0c = 20° what is the index of refraction of the material? с Units no units required The index of refraction, n = What will be the critical angle when the same material is immersed in a medium with the index of refraction 1.17? The critical angle, 0c = Units degThe critical angle for total internal reflection at a liquid-air interface is 43.5°. If a ray of light traveling in the liquid has an angle of incidence of 30.0° at the interface with respect to the normal, what angle does the refracted ray in the air make with the normal? If a ray of light traveling in air has an angle of incidence of 30.0⚫ at the interface with respect to the normal, what angle does the refracted ray in the liquid make with the normal?