3 sig figs. Do not round intermediates. Values: [05] 2.81 [06] -5.74 THE CORRECT

Question

3 sig figs. Do not round intermediates.

Values:

[05] 2.81

[06] -5.74

THE CORRECT ANSWERS WILL BE IN THE FOLLOWING RANGES:

10-5a. 4.00,6.00cm

10-6a, -2.00,-4.00

10-6b. 0.300,0.400

The nickel's image in the figure has twice the diameter of the nickel when the lens is cm from the nickel. Determine the focal length of the lens. Be sure to put the correct sign on the answer, (b) Draw a ray diagram using the actual distances in this problem. Use an arrow 2 cm tall for the object. An object is located 9.23 cm in front of a diverging lens, (a) If the focal length of the lens is cm, find the location of the image. (Give the distance between the lens and the image. Give a positive value if the image is behind the lens and a negative value if the image is in front of the lens.) (b) Find the magnification of the object. Be sure to put the correct sign on the answer, (c) Draw a ray diagram using the actual distances in this problem. Use an arrow 4 cm tall for the object.

Explanation / Answer

10.5 so M = 2 = -i/o

so i = -2 o

1/(-2*2.81) + 1/2.81 =1/f
f=5.62 cm

10-6.
1/i + 1/o = 1/f
1/x + 1/9.23 = 1/-5.74
x=-3.54 cm

b) m= -i/o = 3.54/9.23=0.384

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