A 90° prism (n=1.372) is immersed in air. A ray enters the prism at 8₁ = 83.1 ° and emerges as shown. Find: 0₁ 04 What is the minimum incident angle that the ray can be incident on the left hand face and still emerge from the prism on the right hand side?
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- If a microscope can accept light from objects at angles as large as =70 , what is the smallest structure that can be resolved when illuminated with light of wavelength 500 nm and (a) the specimen is in air? (b) When the specimen is immersed in oil, with index of refraction of 1.52?A ray of light travels through air until it strikes the interface between the air and another medium. The incident ray makes an angle of 0₁ = 39.0° with the normal, as shown in the figure below. Upon passage into the second medium, the ray is refracted, emerging from the interface at an angle 02 with respect to the normal. O 0₁ (a) Suppose that the second medium is fused quartz. What is the angle of refraction, 02 (in degrees)? (Enter your answer to at least one decimal place.) O Air Second medium (b) Suppose that the second medium is polystyrene. What is the angle of refraction, 02, in this case (in degrees)? (Enter your answer to at least one decimal place.) O (c) Finally, suppose that the second medium is ethyl alcohol. What is the angle of refraction, 02, in this case (in degrees)? (Enter your answer to at least one decimal place.)A light ray passes from air (n = 1.00) through a glassplate (n =1.56) into water (n =1.33). The angle of the refractedray in the water is 42.0°.Calculate the angle of the incident ray atthe air-glass interface.
- A ray of light travels from air and enters into a translucent medium A with an incidenceangle of 10 degrees. This medium is characterized by an index of refraction of nA = 1.3. Inanother experiment, the same ray travels from air into medium B and at the same incidenceangle. Here n B = 1.05. Which medium will refract the ray at a higher angle?A light beam strikes a piece of glass at a 65.00° incidentangle. The beam contains two wavelengths, 450.0 nm and700.0 nm, for which the index of refraction of the glass is1.4831 and 1.4754, respectively. What is the angle betweenthe two refracted beams?A parallel beam of light containing two wavelengths, A₁ = 400 nm and ₂ = 650 nm, enters the silicate flint glass of an equilateral prism as shown in the figure below (0 = 45°). At what angle, relative to the normal, does each beam leave the prism? 0₁ from the normal 82 from the normal
- White light strikes the left face of a 300-60°-90° glass prism along a normal to the surface (so there is no refraction there). The light moves horizontally through the prism and strikes the right face at an angle of 30.00° to the normal. As the light leaves the prism it is refracted at the right face. DO ALL CALCULATIONS TO 4 SIGNIFICANT FIGURES! What is the DIFFERENCE in the refracted angles for red light (ned = 1.567) and violet (niolet = 1.613)? Find (8, - e,), where e, and e, are the angles of refraction for violet and red light. 313 PMYou have a beaker with a layer of olive oil floating on top of water. A ray of light travels through the oil and is incident on the water with an angle of 50.4°. Using the index of refraction of the oil as 1.470 and the index of refraction of water as 1.333, determine the critical angle in oil for the oil-water interface.?c = °Determine if the ray of light refracts into the water or reflects off the oil-water interface back into the oil. refracts into the waterreflects back into the oilThe figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n. 1.08.) n = 1.60 n = 1.40 n = 1.20 (a) If 01 36.0°, what is the angle 0, of the emerging beam? %D (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium withn, = 1.08?
- A ray of light travels through air until it strikes the interface between the air and another medium. The incident ray makes an angle of ?1 = 34.0° with the normal, as shown in the figure below. Upon passage into the second medium, the ray is refracted, emerging from the interface at an angle ?2 with respect to the normal. 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) Suppose that the second medium is flint glass. What is the angle of refraction, ?2 (in degrees)? (Enter your answer to at least one decimal place.) ° (b) Suppose that the second medium is fused quartz. What is the angle of refraction, ?2, in this case (in degrees)? (Enter your answer to at least one decimal place.) ° (c) Finally, suppose that the second medium is ethyl…A ray of light travels through air until it strikes the interface between the air and another medium. The incident ray makes an angle of ?1 = 34.0° with the normal, as shown in the figure below. Upon passage into the second medium, the ray is refracted, emerging from the interface at an angle ?2 with respect to the normal. 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) Suppose that the second medium is flint glass. What is the angle of refraction, ?2 (in degrees)? (Enter your answer to at least one decimal place.) Check that your calculator is set for angles in degrees. Double-check the index of refraction you have obtained for the second medium from your textbook or another reliable source. Be sure that you are using the sin and sin−1 functions…A ray of light travels from air into another medium, making an angle of 51° with the normal as in the figure below. Find the angle of refraction θ2 if the second medium is (c) water.