Open-Response Homework Problem 15.1 An optical instrument is built from a diverg

Question

Open-Response Homework Problem 15.1 An optical instrument is built from a diverging lens (lens 1) with focal length - 15cm and a converging lens (lens 2) with focal length 25cm. The lenses are place 20cm apart. An object is placed 10cm from lens 1. Compute the final image location of the instrument. Report a distance from lens 2 with the correct sign. Compute the total magnification of the instrument. Describe the final image of the instrument.Support your description. Open-Response Homework Problem 15.2 The Denver Aquarium has a fish tank where the visitor walks through a glassed-in tunnel through the tank. If a visitor looks at a fish at point A, the visitor is looking through a planar interface. If the visitor looks at an eel at point B, then the visitor is looking through a curved interface with radius of curvature 5ft. Both point A and B are 2ft from the tank wall. The index of refraction of water is 4/3. Compute the image location and magnification for a fish at point A. Compute the image location and magnification for the eel at point B. Describe the image of the eel at point B. Justify your description in terms of your calculation.

Explanation / Answer

a) Using lens formula,

-1/u +1/v = 1/f

1/10 + 1/v = -1/15

1/v = -1/15 - 1/10 = -5/30 = -1/6

v = -6 cm

For second lens, u = -20-6 =-26 cm

-1/u +1/v = 1/f

1/26 + 1/v = 1/25

1/v = 1/25 - 1/26 = 1/650

v = + 650 cm from lens 2

b)Total magnification = (6/10) * (-650/26)

= -15

c) Final image is inverted,

image is magnified by 15 times,

image is virtual as the object for lens 2 was virtual

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