A convex lens of focal length $15 cm$ is placed in contact with a plane mirror and a candle is

placed at the focal plane of the lens . Which of the following

Options: represent the image produced?

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Real and at a distance of 15 cm from the mirror.

Virtual and at a distance of 15 cm from the mirror.

Real and at a distance of 30 cm from the mirror.

Virtual and at a distance of 30 cm from the mirror.

answer is B.

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Detailed Solution

The image is produced virtual and at a distance of

15 cm

from the mirror.
With a plane mirror, the image will develop at a distance equal to that between the object in front of the mirror and the mirror. As a result, a virtual, upright image will be formed

15 cm

behind the plane mirror. Virtual, as a screen, cannot be cast with the image. A virtual, upright image of the object will be formed

15 cm

behind the plane mirror if the object is

10 cm

in front of it. The object will appear to be

15 cm

behind the mirror surface in a virtual image.
Since there isn't an actual image of the object in the area behind the mirror, the image is only "virtual." If you look into the mirror from the front, it only seems to be behind the mirror.

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