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A man standing in front of a plane mirror finds his image to be at a distance of 6m from himself. The distance of man from the mirror is ​

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Answer:

The distance of man from the mirror is 3 m

Refer to the attachment

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View image OoBrainlyDemonoO28
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The distance of the man from the mirror is 3m

From the characteristics of image formed in a plane mirror,

  • Virtual and erect
  • Formed behind the mirror
  • Same size as the object
  • Laterally inverted
  • Distance of the image behind the mirror is the same as the distance of   the object from the mirror.  

⇒ From the last point,

  • Let the distance of the image behind the mirror be x
  • Also the distance of the man from the mirror is x

⇒ From the question,

  • x+x = 6
  • 2x = 6
  • x = 6/2
  • x = 3 m

Hence, The distance of the man from the mirror is 3m

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