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Question

An image 23 the size of the object is formed by a convex lens at a distance of 12 cm from it. Find the focal length of the lens.

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Solution

For real and inverted image, the magnification will be negative. m=23.
We know that, m=vu23=12uu=12×32=18 cm
Now, 1v1u=1f112118=1f536=1ff=365=7.2 cm
Therefore the focal length is 7.2 cm.

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