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A Man Sits in an Optician'S Chair Looking Into 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? - Science

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Question

A man sits in an optician's chair looking into  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?

 

Solution

he image of the chart will appear 4.5 m away from the eye.
The image of the chart will form at a distance of 2 m + 0.5m = 2.5 m behind the mirror. The reason being, 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 of the chart's image from the eye = distance of man from the mirror + distance of image formed behind the mirror                                                                            = 2 + 2.5 = 4m.

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Chapter 4: Reflection of Light - Exercise 1 [Page 175]

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Lakhmir Singh Physics (Science) [English] Class 10
Chapter 4 Reflection of Light
Exercise 1 | Q 38 | Page 175
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