3. The thin lens equation is given as f = . where v and b are the distances indicated in the diagram below. v+b Princl Pane Object Image When the distances v and b were measured, errors of magnitude Ab = m and Av =n were made. Determine an expression for the error in calculating f, that is, determine Af in terms of b, n,v and m.

Two lenses are in series. An object is viewed through them. a) Pick values for the focal lengths of the lenses (negative values are allowed for the second lens). b) Calculate the overall magnification. c) Fully characterize the image (real vs. virtual, upright vs. inverted, magnified vs. reduced). d) Provide a raytrace diagram for the situation.

A camera lens has a focal length of 900 mm. a. Compute for the image location and the size of the image on the film of a 5 m highmonument that is at a distance of 20 m.b. Describe the image formed

3. A light ray enters the three-lens system parallel to the axis as shown. Using graphical raytrace rules, draw the trajectory of that ray through the system. If the height of the entering ray is 1, what is the exiting ray height? f₁=10 parallel to axis f₂=10 12 units units f3=2

2. A Nikon 50mm camera lens is approximated as a cylinder with a diameter of 72mm and a length of 52.5mm. Determine the volume of the lens in cubic inches. Use correct significant figures in your answer. Assume 1cm = 10mm, 2.54cm = 1 in. Veylinder = ar2h

An object is 17 cm in front of a diverging lens that has a focal length of -8.1 cm. How far in front of the lens should the object be placed so that the size of its image is reduced by a factor of 2.4? Number i Units

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A glass sphere (n = 1.50) with a radius of 16.0 cm has a tiny air bubble 4.30 cm above its center. The sphere is viewed looking down along the extended radius containing the bubble. What is the apparent depth of the bubble below the surface of the sphere? 7.936 Apply the equation relating the object distance, image distance, and radius of curvature for a spherical refracting surface. cm Need Help? Read It Master It

Which of the following is not a problem for refracting telescopes? O A. Different wavelengths of light are focused at slightly different locations. O B. The quality of the glass lens in transparency and in the shape of both surfaces must be high. C. The secondary mirror blocks some of the light passing through the primary lens. D. The primary lens can only be supported at the edges making deformation of large lenses difficult to avoid.

4. Diverging Lens - Object Inside Focal Point An object with heigh 0.75cm is placed a distance of 2.5 cm in front of a thin diverging lens with focal length -15cm. A. What is the image position in cm? Please draw a ray diagram and use the lens equation to solve algebraically. B. What is the image height? C. What is the magnification? ↑ 1 1 do d₁ + = 1 m= hi ho di do Skill: Find an Image Using 3 Principle Rays in Ray Diagram Skill: Find an Image Using the Lens Equation