A converging lens with a 37cm focal length is placed 20cm to the right of an object. Where should a second lens with a 61cm focal length be placed so the resultant image has a magnification of 1.8 and is inverted? Give your answer in centimeters distance to the right of the first lens.

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A converging lens with a 37cm focal length is placed 20cm to
the right of an object. Where should a second lens with a
61cm focal length be placed so the resultant image has a
magnification of 1.8 and is inverted? Give your answer in
centimeters distance to the right of the first lens.
Transcribed Image Text:A converging lens with a 37cm focal length is placed 20cm to the right of an object. Where should a second lens with a 61cm focal length be placed so the resultant image has a magnification of 1.8 and is inverted? Give your answer in centimeters distance to the right of the first lens.
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Solution:

The focal length of a first convex lens is 37cm and the object distance from this lens is 20cm. Now, use the sign convention, the focal length of the convex lens is positive and the object is left to the converging lens, the object distance is taken to be negative. Now, using the lens formula calculate the image distance formed by the first lens. 1f=1v-1u1f+1u=1vv=fuu+f=37 cm×-20cm37 cm-20cm  =-43.53cm.

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