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Q. 8

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

A converging lens creates the image shown in FIGURE Q34.8. Is the object distance less than the focal length f, between f and 2 f, or greater than 2 f? Explain

The object is between f and 2f away.

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Step by Step Solution

Step1: Find f:

When we have a converging lens and the image is inverted, real, and magnified (as shown in figure Q34.8), the object is backslash boxed backslash backslash text between f and 2 f away from the lens. Remember the thin lens equation?

we get

Step2: Find 2f or greater thean 2f

Since then i.e. we see that is positive meaning the image is real and on the other side of the lens (as is the case in this problem). Also, means that i.e. . Therefore

yielding

So we got that only when f<s<2 f then i.e. and the image is also magnified magnified.

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