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A Man Stands 10 M in Front of a Large Plane Mirror. How Far Must the Walk before He is 5 M Away from His Image?

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Question

A man stands 10 m in front of a large plane mirror. How far must the walk before he is 5 m away from his image?

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Solution

Man should walk 7.5 m towards the mirror.
The reason being, the image formed by a plane mirror is the same distance behind the mirror as it is between the object and the mirror. A distance of 5m between man and his image means that the distance between him and the mirror = `52`= 2.5 m.
Thus, the distance he should walk = 10 - 2.5 = 7.5 m. 

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Chapter 1: Reflection of Light - Exercise 1 [Page 174]

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Lakhmir Singh Physics [English] Class 10
Chapter 1 Reflection of Light
Exercise 1 | Q 36 | Page 174

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