A man sits in an optician's chair looking into a plane mirror which is 2 m away from him and views the image of a chart which faces the mirror and is 50 cm behind his head. How far away from his eyes does the chart appear to be?


Distance between the man and the mirror = 2 m

Distance between man and chart = 50 cm = 0.5 m

Distance between image of the chart and mirror = 0.5 m + 2 m = 2.5 m

The image of the chart will form at a distance of 2.5 m behind the mirror, because the image formed by a plane mirror, is at the same distance behind it as it is between the object and the mirror.

Thus, 

Distance between the chart's image and the eye = Distance between man and the mirror + Distance between mirror and the image of the chart = 2 m + 2.5 m = 4.5 m.

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Updated on: 10-Oct-2022

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