*68 In Fig. 34-44, a real inverted image I of an object O is formed by a particular lens (not shown); the object-image separation is d= 40.0 cm, measured along the central axis of the lens. The image is just half the size of the object. (a) What kind of lens must be used to produce this image? (b) How far from the object must the lens be placed? (c) What is the focal length of the lens? Lens here Axis Figure 34-44 Problem 68.

The figure shows a refracted light beam in linseed oil making an angle of ? = 15.8° with the normal line NN'. The index of refraction of linseed oil is 1.48. a) Determine the angle ?. b) Determine the angle ?'.

(a) A 1.00 cm-high object is placed 4.35 cm to the left of a converging lens of focal length 7.85 cm. A diverging lens of focal length -16.00 cm is 6.00 cm to the right of the converging lens. Find the position and height of the final image. cm---Select--- position height Is the image inverted or upright? upright inverted Is the image real or virtual? real virtual cm (b) What If? If an image of opposite characteristic, i.e., virtual if the image in part (a) is real and real if the image in part (a) is virtual, is to be obtained, what is the minimum distance (in cm), and in which direction, that the object must be moved from its original position? cm distance direction ---Select---

(numbers 32-33) An object is placed 24 cm from a converging lens with a focal length of 8 cm. 32. How far is the image from the lens? 8 cm 16 cm 12 cm 18 cm 24 cm 33. The image is: real and larger real and smaller virtual and smaller virtual and larger none of the above answers are correct

3-23. A small object is placed 20 cm from the first of a train of three lenses with focal lengths, in order, of 10, 15, and 20 cm. The first two lenses are separated by 30 cm and the last two by 20 cm. Calculate the final image position relative to the last lens and its linear magnification relative to the original object when (a) all three lenses are positive; (b) the middle lens is negative; (c) the first and last lenses are negative. Provide ray diagrams for each case.

Two lenses (f1=100 mm, f2=-150 mm) are used to form an image of a candle on an observation screen. The distance between the lenses is kept small and is measured to be 3.5 cm. The distance of the candle from the center  of both lenses is measured to be 82 cm. The distance of the image from the center of both lenses is measured to be 22 cm.  (i) What are the experimental focal length of the two combined lenses? (a) 60 mm   (b)1040 mm  (c) 576.43 mm (d) 173.47 mm (ii) What are the theoretical focal lengths of the two combined lenses? (a) -50 mm  (b) 176.47 mm  (c) 280.37 mm  (d) 52.63 mm

2,2

Photographs at a scale of S are required to cover an area X - mi square. The camera has a focal length and focal plane dimensions of 9 * 9in . If endlap is 60% and sidelap 30\% how many photos will be required to cover the area for the data given below?   ▾ Part A   S = 1/6500 ; X = 8 f = 152.4mn   Express your answer as an integer.

A converging lens has a focal length of 20.0 cm. Construct accurate ray diagrams for object distances of (i) 60.0 cm and (ii) 6.67 cm. (a) From your ray diagrams, determine the location of each image. Image (i) distance = Image (ii) distance =