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Image in Thin Lens Using Formula

A diverging l...

Question

A diverging lens of focal length $10$ cm is placed $10$ cm in front of a plane mirror as shown in the figure. Light from a very far away source falls on the lens. The final image is at a distance?

A

20

cm behind the mirror

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B

7.5

cm in front of the mirror

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C

7.5

cm behind the mirror

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D

2.5

cm in front of the mirror

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Solution

The correct option is A $20$ cm behind the mirror
Given focal length of the lens =10 cm and distance between lens and mirror =10 cm
As the object is at infinity its image will produce in focal length.Now as a plane mirror is placed at a distance of 10 cm from the diverging lens its enlarged image will produce on the mirror.
Thus the final image will produce at a distance of 20 cm behind the mirror

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