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Chapter 35: Q. 5 (page 1017)

A 2.0-tall object is 20cmto the left of a lens with a focal length of 10cm. A second lens with a focal length of -5cm is 30cm to the right of the first lens.

a. Use ray tracing to find the position and height of the image. Do this accurately using a ruler or paper with a grid, then make measurements on your diagram.

b. Calculate the image position and height. Compare with your ray-tracing answers in part a.

Short Answer

Expert verified

a. The position and height of the image using ray tracing are given below in step.

b. The position of the image is 20cmaway from the first lens.

Step by step solution

01

Part (a) step 1: Given Information

We need to find the position and height of the image using ray tracing.

02

Part (a) step 2: Simplify

Consider:

f1=10cmf2=-5cm

03

Part (b) step 1: Given Information

We need to calculate the image position and height.

04

Part (b) step 2: Simplify

For the first lens:

1S1+1S'1=1f11S'1=1f1-1S11S'1=110-120S'1=20cm鈫�realimage

Next, finding the value for magnification M1:

M1=-S'1S1=-2020=-1

For the second lens:

1S2+1S'2=1f21S'2=1f2-1S21S'2=1-5-110S'2=-3.3cm鈫�realimage

finding the value for magnification M2:

M2=-S'2S2=--0.3310=0.33

Finally, finding the total magnification M:

M=M1M2=-10.33=-0.33

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