A beam of light is incident from a first medium (n₁ = 1.25) onto a second medium (n₂ = 1.71). When the incidence angle is equal to 0, it is found that the reflected beam is completely linear polarized. What is this angle? degrees If the first medium is changed to air (n₁ = 1), what is the new polarizing angle (0)? 0p2 degrees With n₁ being that of air, what would no need to be in order for the polarizing angle to be 65 degrees? =
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- Chapter 25: Problem 11: Consider the internal reflection of light at the interface between water and ice. For convenience, the index of refraction for a variety of materials is provided below. a) What is the minimum angle, in degrees, at which you will get total internal reflection at this interface?A beam of white light is incident on the surface of a diamond at an angle θa. (Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. For example, the indices of refraction in diamond are nred=2.410for red light and nblue=2.450blue=2.450 for blue light. Thus, blue light and red light are refracted at different angles inside the diamond, as shown in the picture. The surrounding air has nair=1.000 Note that the angles in the figure are not to scale. Now consider θc, the angle at which the blue refracted ray hits the bottom surface of the diamond. If θc is larger than the critical angle θcrit, the light will not be refracted out into the air, but instead it will be totally internally reflected back into the diamond. Find θcrit.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 light ray in the core (n = 1.40) of a cylindrical optical fiber is incident on the cladding. A ray is transmitted through the cladding (n = 1.20) and into the air. The emerging ray makes an angle 02 = 1.80° with the outside surface of the cladding. What angle 01 did the ray in the core make with the axis? Air Cladding Core AxisThe index of refraction for a certain type of glass is 1.637 for blue light and 1.603 for red light. A beam of white light (one that contains all colors) enters a plate of glass from the air, nair 1, at an incidence angle of 36.05°. What is the absolute value of ô, the angle in the glass between blue and red parts of the refracted beams? |8| = IIA 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 in air hits the surface of glass (n=1.5) at a 40° angle with respect to the Which of the rays shown, A or B, best represents the correct transmitted ray? ormal. Find the angle between the normal and the ray that travels into the glass. n=1.0 n=1.5 40° A BWe know that the index of refraction of materials can help identify those materials. A light beam is shined onto a surface a reflected ray and is found to be completely polarized when the angle of incidence is 53.5°.(a) What is the index of refraction of the reflecting material? (b) What is the angle of refraction if some light passes through the surface of the material?°Light of wavelength 541 nm is incident from air (n = 1) to glass (n = 1.51). A). What is the wavelength of the light in glass? B). If the angle of incidence is 37°, What is the angle of refraction? C. If the angle of refraction is 39.80°, at what angle did the light touch the glass surface?
- Suppose you have an unknown clear substance immersed in water, and you wish to identify it by finding its index of refraction. You arrange to have a beam of light enter it at an angle of 45.0° with respect to the normal, and you observe the angle of refraction to be 40.3°. A. What is the index of refraction of the substance? B. What is its likely identity?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 =