(11%)  Problem 9:   An object of height 2.5 cm is placed 4.8 cm in front of a converging lens of focal length 25 cm. Part (a)  What is the image distance, in centimeters? Include its sign.  Part (b)  What is the height of the image, in centimeters? Include the sign to indicate the image’s orientation with respect to the object.

= 3. A 15 cm tall object sits 80 cm to the left of a converging lens with a focal length of fi 30 cm. There is a second converging lens with a focal length of f2 = 20 cm sitting 60 cm to the right of the first converging lens. dige de a. Where is the image from the first lens formed? (find di1) f₁ = 30 cm do = 80cm di = ? C. -14 1-do₂ 'वे di = [130 - 50 ] = 48 cm to the right of lens 1 = b. What is the object distance for the second lens? (find doz) f₂ =20 cm do=48 cm di = ? Where is the final image formed? (find diz) do d. What is the distance between the original object and the final image? What is the overall magnification for this two-lens system? f. What is the height of the final image? (find hi2) 2

Homework 12 Problem 10:   Two lenses are mounted d = 27 cm apart on an optical bench. The focal length of the first lens is f1 = 5.1 cm and that of the second lens is f2 = 4.4 cm. An object of height ho = 3.5 cm is placed at a distance of do = 21 cm in front of the first lens. Part (a)  Ignoring the second lens for now, at what distance, in centimeters, behind the first lens is the object’s image formed by that lens? di = ______ Part (b)  Calculate the magnification of that image, including its sign. m = ______ Part (c)  Now consider the two-lens system and the final image it forms, i.e., the image created by the second lens. What is the distance, in centimeters, between the object and its final image? D = ______

The projection lens in a certain slide projector is a single thin lens. A slide 23.0 mm high is to be projected so that its image fills a screen 1.90 m high. The slide-to-screen distance is 3.06 m. (Enter your answers to at least one decimal place.) (a) Determine the focal length of the projection lens. mm(b) How far from the slide should the lens of the projector be placed to form the image on the screen? mm

The projection lens in a certain slide projector is a single thin lens. A slide 24.5 mm high is to be projected so that its image fills a screen 1.77 m high. The slide-to-screen distance is 2.93 m. (a) Determine the focal length of the projection lens. mm (b) How far from the slide should the lens of the projector be placed to form the image on the screen? mm

The image of the Moon is formed by a concave mirror (aka telescope) whose radius of curvature is 9.62m at a time when the Moon's angular diameter is 0.523degrees. What is the diameter (magnitude only) of the image (cm) of the moon? HINT: What is the property of the rays coming from one point on the edge of the Moon (think of the moon as being infinitely far away)? Where do those rays converge to form an image of that point? Use the small angle approximation: sin(x)=tan(x)=x for |x|<<1, when x is measured in radians.

A camera is equipped with a lens with a focal length of 27 cm. When an object 1.2 m (120 cm) away is being photographed, how far from the film should the lens be placed? cm