PHYSICS 2P51: Assignment 4 - Due: Wed., February 8, 2017

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PHYSICS 2P51: Assignment 4 - Due: Wed., February 8, 2017 1. What is the vergence of light at a distance of 48 cm in front of an image point, (that is before it reaches the image). 2. Light coming out of a pinhole of a box into air has as vergence of -20 diopters. What is the vergence when it is 75 cm further away? 3. A glass sphere is used to form an image of a distant object. If the image is found to located on the thick (back) surface, what is the refractive index of the glass. 4. A biconcave lens has a focal length of -20 cm. If the two surfaces have radii of curvature of 50 cm each, what is the index of refraction of the glass? 5. (a) A meniscus lens is one that has one concave surface, and one convex surface. A positive meniscus lens is a converging lens. A negative meniscus lens is a diverging lens. Determine the condition on | R1 | in order to produce a positive meniscus lens. R2 (b) A lens made of glass of n=1.6 has focal length of 20 cm. If the radius of curvature of the back surface is -40 cm, what is the radius of the front surface? Do your calculations agree with your calculation in (a) 6. (a) When an object is placed 15 cm in front of a thin lens, a virtual image is formed 5.0 cm away from the lens. What is the focal length of the lens? (b) What is the transverse magnification of the object? (c) Make an accurate ray diagram to show that your results of (a) and (b) are correct. (d) A converging lens with a focal length of magnitude 6 cm is placed 4.0 cm to the right of the first lens. Calculate the location of the final image. (e) Check that your result for (d) is correct by using graphical ray tracing to find the final image. [ You may use the same diagram as in part (c)] 1 7. If an object is placed 45 cm in front of a -3.00 diopter lens, what is the transverse magnification of the image? 8. The object is a transparent cube, each edge 5mm in length, place 70 cm in front of a lens of a +25 cm focal length. What is the transverse magnification of the rear surface of the cube (the face closer to the lens)? 2.

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