Explain Physics with Calculus IlI (PHYS 270), Fall 2018 Course Home CHW2a More R

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Physics with Calculus IlI (PHYS 270), Fall 2018 Course Home CHW2a More Ray Optics A Two-Lens System Previous Answers A compound lens system consists of two converging lenses, one at z20.0 cm with focal length f+10.0cm and the other at z +20.0em with focal kngth f2-+8.00 cm·(Fore 1 An object 1.00 centimeter tal is placed at50.0 cm Correct Part B How Jall is the image? Express your answer in centimeters, to three significant figures or as a fraction Figure 1 of1 View Available Hinds) 0236 m Correct Part C IB F10 F11 F6 6

Explanation / Answer

Object distance = u = 50 - 20 = 30 cm

f = 10 cm

using the lens formula, 1/f = 1/v + 1/u

1/10 = 1/v + 1/30

=> v = 15 cm

this is the image distance from the first lens. The position of first image from the origin is x = - 5 cm.

this image now becomes the object for the 2nd lens. So, object distance for the 2nd lens is:

u' = 20 - ( - 5) = 25 cm

again using the lens formula

1/8 = 1/25 + 1/v'

=> v' = 11.765 cm. This is the final image distance from the 2nd lens. The position of the final image from the origin is: x = 11.765 + 20 = 31.765 cm.

magnification of the final image is:

|M| = (vv'/uu') = 0.235

therefore, final height of the image is: h = |M|ho = 0.235(1) = 0.235 cm.

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