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Question

A point object O is placed at a distance of 20 cm from a convex lens of focal length 10 cm as shown in fig. At what distance x from the lens should a concave mirror of focal length 60 cm, be placed so that the final image coincides with the object?
1080238_b37840edead34ec1993dba3e904c72bb.jpg

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Solution

Given that,

Focal Length of convex lensf=10cm

So, radius of curvaturer=20cm

We know that, the object is placed at the radius of curvature

So, the image is formed at the radius of curvature

Now,

The focal length of concave mirrorf=60cm

Image distancev=20cm

Now, using mirror formula

1f=1v+1u

160+120=1x

x=30cm

Hence, the distance is 30 cm


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