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Q.

A bi- convex lens of focal length 15cm is infront of a planer  mirror. The distance between the lens and the mirror 10cm. A small object is kept at a distance of 30cm from the lens . The final image is

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a

Real at a distance of 20cm from the mirror

b

Real and at a distance of 16cm from the mirror

c

Virtual and at a distance of 20cm from the mirror

d

Virtual and at a distance of 16cm from the mirror

answer is B.

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Detailed Solution

Question Image

Object is placed at distance 2f from the lens so image I1 will be formed at a distance 2f on other side. The image I1 will behave like a virtual object for mirror. The second I2 image  will be formed at a distance 20cm in front of the mirror or at distance 10cm to the left hand side of the lens.
1v1u=1f1v110=115
After calculate , v = 6cm
The final image at distance 16cm from the mirror. But this image be real . This is because ray of light is travelling from right to left.


 

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