VARIANT 141. A clear glass light bulb is placed 1.5 m from a convex lens having a 45 cm focal length. Use raytracing to get an approximate location for the image. Then use the thin lens equations to calculate(a) the location of the image and (b) its magnification. Verify that ray tracing and the thin lensequations produce consistent results.2. When driving you need to be able to clearly see road signs and traffic some distance ahead of youas well as the dashboard in your car. Assume that you have a normal lens-to-retina distance. (a)What minimum optical power of the eye is needed to clearly see a road sign 150 m ahead? (b) Whatmaximum optical power is needed to clearly see the dashboard 50 cm away? (c) What range ofaccommodation AF is needed?3. Determine the speed of the electrons incident on the anode surface of the X-ray tube if the minimumwavelength of the emitted X-ray radiation was 5 nm.4. A 5000-Ci 60Co source used for cancer therapy is considered too weak to be useful when its activityfalls 3500 Ci. How long after its manufacture does this happen? The isotope half-life is 5.27years.

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Create a ray diagram for eyeglasses that contain a diverging lens. Assume you are looking at a 2 cm tall object that is 4 cm from the lens. The focal length is 3 cm. What type of vision are they used to correct? Give both names. How do they do this? Explain.
* 32. Use ray diagrams to locate the images of the following objects: (a) an object that is 10 cm from a convex lens of +15-cm focal length and (b) an object that is 10 cm from a concave lens of -15-cm focal length. (c) Calculate the image locations for parts (a) and (b) using the thin lens equation. Check for consistency.
1. A patient enters an eye doctor’s office and finds the doctor tells him that his near point is 10.0 cm. The doctor also finds the patient’s far point (with eyes relaxed) is 125 cm. Each eye lens can be assumed to be 2.00 cm from the retina. a) Between what limits (units: diopters) does the power of this patient’s lens (technically lens+cornea combination) vary? b) The doctor is going to prescribe glasses. Calculate the power of the eyeglass lens the patient should use for relaxed distance vision. Is the lens converging or diverging?
3. Two converging lenses above are placed 20.0 cm apart, both with focal lengths of 10.0 cm. A candle is 30 cm away from the first lens. By means of a neat ray tracing, locate the final image formed by the combination of the two lenses. b) Use mathematics to fully describe the image created by the lenses.
6. A 2.0 cm tall object is 15 cm in front of a converging lens that has a 20 cm focallength.(a) Use ray tracing to find the position and height of the image. To do this accurately, use a ruler or a paper with a grid. Determine the image distance and imageheight by making measurements on your diagram.(b) Calculate the image position and height. Compare with your ray-tracing answers in part a.
5. A diverging lens has a focal length that has a magnitude of 32.0 cm. An object is placed 21.0 cm in front of this lens. Calculate the magnification.
5. Consider a converging lens that has a focal length (f). Which one of these is correct about the image when the object is placed in front of the lens at a distance of (2f )? S f60 sof6t The image is virtual, inverted, and magnified The image is real, erect, and magnified The image is real, inverted, and has the same size The image is real, inverted, and diminished The image is real, erect, and diminished The image is virtual, erect, and has the same size as the object 8 9 098 as the object ossf60 s ssf60 f60 ssf60 ssf60 ssf60 s sf60 ssf60 ssf