A = (s, y) 1. Derive the equation for the mirror surface such that light incident on the left, from a source at infinity, will be focused at F. The equation should be written only in terms of s, y and f (the curve will map out points like A with coordinates s and y). You do not need to simplify the equation. Cy incident ray f=rt8 S=2¢? =7 2rt28 A-(s n2f =nr top scor sftJpetyz 1
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- You can see part of the back of your head if you have two mirrors mounted at an acute angle. The picture shows a top view of this with a ray of light that starts at the side of your head, reflects off both mirrors and to your eye. If you are standing equidistant from both mirrors and the angle between the mirrors is 67.4o, what is the angle of reflection from the first mirror? Please give your answer in degrees.The mirror equation relates the object distance, d0, the image distance, di, and the focal length, f, of a mirror as1 / d0 + 1 / di = 1 / fWhile in other topics, distance and length are strictly non-negative, in optics we introduce the following sign conventions: Object distance is positive for a real object and negative for a virtual object. Image distance is positive for a real image and negative for a virtual image. Focal length is positive for a converging mirror and negative for a diverging mirror (a) Select the best choice to complete this statement. A real object placed in front of a converging mirror creates a real image under all circumstances. under no circumstances. when the object is between the focal point and the mirror. when the object is farther than the focal length from the mirror. (b) Select the best choice to complete this statement. A real object placed in front of a diverging mirror creates a virtual image under all circumstances. under no circumstances.…A ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal as in the figure below. (a) Find the angle of refraction θ2 if the second medium is ice. °(b) Find the angle of refraction θ2 if the second medium is flint glass. °(c) Find the angle of refraction θ2 if the second medium is carbon tetrachloride. °
- please answer vvvDetermine the image distance and size for a 10.00-cm tall object placed a) 60.0 cmb) 10 cm from a concave mirror having a focal length of 30.0 cm. Draw light ray diagrams for each case.A coin 1.5 cm high is placed in front of a convex mirror having a radius of curvature of 18.0 cm. An image of the part is formed 6.00 cm behind the mirror.at. Where is the part located?b. Determine the size, orientation and nature (real or virtual) of the image.
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- A 45°-90°-45° prism is constructed from a synthetic resin. As shown in the figure, a light beam that enters the prism at the midpoint of the long side and parallel to the base exits the prism at an angle of 28° below the horizontal. What is the index of refraction of this prism? 1.39 Have you drawn a figure showing all angles and established any relationships between the angles? Have you written a Snell's law statement for the light as it enters and exits the prism? Depending on how you solve the problem, you may need the identities tan a = sin a / cos a and sin(a + 6) = sin a cos pi cos a sin ß. Additional Materials ReadingHomework 12 Problem 6: An object is located in air, 35 cm from the vertex of the concave surface of a block of glass (as viewed from the air side of the surface). The surface’s radius of curvature is 15 cm. Use these indices of refraction: nair = 1.0 and nglass = 1.5. Part (a) Find the refraction image distance, in centimeters. Include its sign. s' = ______ Part (b) What is the magnification of the image? Include the magnification’s sign to indicate the orientation of the image with respect to the object. m = ______You have a slab of diamond that is attached to a slab of sapphire. A laser beam starts off in the diamond (index of refraction =2.42) and then exits into sapphire (index of refraction =1.77). The beam makes an angle of 30 degrees with the normal in the diamond. What is the maximum angle of incidence that the laser will refract into the sapphire?