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Question

A convex lens, of focal length 30cm, a concave lens of focal length 120cm, and a plane mirror are arranged as shown. For an object kept at a distance of 60cm from the convex lens, the final image, formed by the combination, is a real image, at a distance of :
474498_29d5a056a02d4742975bb31e91a3408c.png

A
60cm from the concave lens
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B
70cm from the convex lens
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C
60cm from the convex lens
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D
70cm from the concave lens
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Solution

The correct option is B 60cm from the concave lens
Location of image formation after first refraction from the lens,

1v+160=130.

This gives v=60cm

Next refraction from concave lens,

1v2140=1120

Hence v2=60cm

Since this will be formed behind the mirror, this will be final image.

It is at a distance of 60cm from the concave lens.

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