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The image of an object formed …

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The image of an object formed by a mirror is real, inverted and is of magnification -1. If the image is at the distance of 30cm from the mirror, where is the object placed ? Find the position of image if the object is now moved 20cm towards the mirror. What is the nature of image obtained ? Justify your answer with help of ray diagram.
  • 1 answers

Shobha Kumari 5 years, 2 months ago

(A) m=-1 u=? v=-30cm We know that m=-v/u -1=-(-30)/u u=-30 An object should be place at distance of 30 cm in front of mirror. Now, 1/u+1/v=1/f -1/30-1/30=1/f =-1-1/30=1/f =-2/30=1/f =-1/15=1/f =f=-15cm (b) u=-20cm f=-15cm We know that 1/u+1/v=1/f =-1/20+1/v=-1/15 =1/v=-1/15+1/20 =1/v=-4+3 /60 =1/v=-1/60 =v=-60 Hence,the position of image is at distance of 60 cm in front of mirror.since the image is form negative, so nature of image is real and inverted.
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