A convex mirror (of focal length magnitude 6.0 cm) is placed in combination with a converging lens (of focal length magnitude 8.0 cm). Assume the mirror is placed 9.0 cm to the left of the lens, and a small object is placed 12.0 cm to the right of the lens. If the origin of the coordinate system is placed at the location of the mirror and we set positive rightward, what is the position of the final image? (Assume light goes through the lens twice). Express your answer in cm, to at least one digit after the decimal point.
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- Two plane mirrors make the angle a = 33.0 degrees between them. A ray of light incident on one of the mirrors is reflected and it hits the second mirror. Find the angle between the ray incident on the first mirror and the ray reflected off of the second mirror.For an independent study project, you design an experiment to measure the speed of light. You propose to bounce laser light off a mirror that is 51.5 km due east and have it detected by a light sensor that is 127 m due south of the laser. The first problem is to orient the mirror so that the laser light reflects off the mirror and into the light sensor. (a) Determine the angle that the normal to the mirror should make with respect to due west. (b) Since you can read your protractor only so accurately, the mirror is slightly misaligned and the actual angle between the normal to the mirror and due west exceeds the desired amount by 0.004°. Determine how far south you need to move the light sensor in order to detect the reflected laser light.38 A student wants to measure the height of a building. He walks out a distance of 48.5 m from its base and shining a flashlight beam towards the top. When the beam is elevated at an angle of 41.0° with respect to the horizontal, the beam just strikes the top of the building. If the flashlight is held at a height of 2.03 m, find the height of the building. * O
- University students celebrate their graduation with a trip to the sea. One of them decides to go diving and while he is down in the sea, at a not very deep depth, he sees the sun at an angle of 45° above the horizon. What is the true angle of elevation of the sun above the horizon?Physics Question is the image attachedConsider a convex lens having a thickness d whose sides have radii of curvature R1 and R2. a. Find the 2x2 matrix describing this lensb. What is the change in focal length for the case where the two radii equal R and d =0.1R, compared to the case where the lens thickness is neglected?
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