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Chapter 34: Q. 8 (page 989)

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

Short Answer

Expert verified

The object is between f and 2f away.

Step by step solution

01

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?

1f=1s+1s鈥�

we get

1s鈥�=1f鈭�1s.

02

Find 2f or greater thean 2f

Sinces>fthen 1f>1si.e. we see thats'is positive meaning the image is real and on the other side of the lens (as is the case in this problem). Also, s<2fmeans that 1s>12fi.e. 1f-1s<1f-12f=12f. Therefore

1s鈥�<12f

yielding

So we got that only when f<s<2 f thens'>2fi.e. s'>sand the image is also magnified magnified.

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