3) A lens has a refractive index of 1.30. In air, it is a converging lens. Will it still be a converging lens if placed under water? Explain using a ray diagram.
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3) A lens has a refractive index of 1.30. In air, it is a converging lens. Will it still be a converging lens if placed under water? Explain using a ray diagram.
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- 21. A homeowner wishes to mount a floodlight on a wall of a swimming pool underwater so as to provide the maximum illumination of the surface of the pool for use at night. At what angle with respect to the wall would the light be pointed? The answer is 46 degrees. 2. In a slide projector, a slide is positioned 0.102 meters from a converging lens that has a focal length of 0.1 meters. At what distance from the lens must the screen be placed so that the image of the slide will be in focus? The answer is 5.1m 3. Compute the magnification for the slide projector in Q2. The answer is -50X1. If a lens is to focus parallel light rays on a screen 50-cm away, what diopter would it have? Explain.
- 4. A light ray is incident on a glass interface (n = 1.5). It refracts through the medium and then exits back out into the air as shown in the picture. Determine the final refracted angle 0, as the light ray exits the glass. 0₁ = 18° and =34°.A converging lens of focal length 4 m produces a magnified image 2.4 times the size of the object. What is the object distance if the image is a) real? m b) virtual? mi) Explain why the crystalline lens of the eye gets a virtual object from the cornea.
- 4) It is required that a real image twice the size of the object be formed by a thin plano- convex lens. If the lens has a radius of curvature of 50 cm and a refractive index nim = 1.5, determine the localizations of the object and image with respect to the lens.1-The light is pass through lens center without reflection, why? 2-lf you look at a scene through a single lens; it appears upside down why is that? 3-When the location of the object at the focus is not creates image. Why?5. Q7) Problem 53: Page 110 A camera with a 50 mm focal length lens is being used to photograph a person standing 3.00 m away. (a) How far from the lens must the film be? (b) If the film is 36 mm high, what fraction of a 1.75 m-tall person will fit on it? Note: First find Magnification then consider film height as image height and find the object height and compare it with1.75 m. (Ans: 0.0508 m, 100%)
- provide justification4. A ray of light passes through a prism, making the minimum angle of deviation. The rays enter and emerge at 7° from the normal to the surface. What is the index of refraction of the material, if the prism angle is 50°?a) Show that an infinitesimal change dn of the refractive index of the material of a thin lens leads to an infinitesimal change df of the focal distance, i.e., show that: df f dn n-na (1) where na is the refractive index of air. 1.530) using a discrete b) Calculate the focal distance of a thin lens for blue light (with n= version of the upper equation if the focal distance for red light (with n = 1.470) is 20.0 cm (na = 1.000).