In a two-lens system, the focl length of the lens is f1 = 4.00 cm, and that of then lens 2 is f2 = 8.00 cm. The distance between the lenses is 16 cm. If an object O is 2.00 cm high and is placed 6.00 cm in front of the lens 1, where is the final image through the two-lens system?

A prescription for an eyeglass lens calls for +3.50 diopters. The lensmaker grinds the lens from a “blank” withand convex front surface of radius of curvature n=1.56of 30.0 cm. What should be the radius of curvature of theother surface?

An object is placed 66 cm in front of a converging lens of focal length 9 cm. Another converging lens of focal length 14 cm is placed 26 cm behind the first lens. a) Find the position of the final image with respect to the second lens. cm b) Find the magnification of the final image.

The figure below shows a thin glass (n = 1.50) converging lens for which the radii ofcurvature are R1 = 15.0 cm and R2 = –12.0 cm. To the left of the lens is a cube having a facearea of 100 cm2. The base of the cube is on the axis of the lens, and the right face is 20.0 cmto the left of the lens. (a) Determine the focal length of the lens. (b) Draw the image of thesquare face formed by the lens. What type of geometric figure is this? (c) Determine thearea of the image.

A) how far from the object should this lens be placed? B) what focal length eyepiece would give an overall magnification of -55? C) what focal length eyepiece would give an overall magnification of -100?