A convex lens of focal length 15 cm is placed infront of a plane mirror at a distance 25 cm from the mirror. Where on the optical axis and from the centre of the lens should a small object be placed such that the final image coincides with the object?

15 cm and on the opposite side of the mirror

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15 cm and between the mirror and the lens

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7.5 cm and on the opposite side of the mirror

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7.5 cm and between the mirror and the lens

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Solution

The correct option is C 15 cm and on the opposite side of the mirror
The focal length of the lens is 15 cm. If the object is placed at 15 cm from lens, light rays after coming from lens will be parallel to axis and after reflection from plane mirror it will retrace its path and form the image at very same position as the object as shown in the image.

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