Question

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 ?

Answer 1

According to the question

The man is 2 m from the mirror and the chart is 0.5 m behind the man

So,

Distance of the chart from the mirror = 2 m + 50 cm = 2 m + 0.5 m = 2.5 m

As we know tin plane mirror image distance is always equal to the object distance.

So,

Now, the distance between the eye and chart = distance between the eye and the mirror + distance between the mirror and the image of the chart.

= 2 m + 2.5 m = 4.5 m

Hence the distance between the image of the chart and eye is 4.5 m.