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At what distance from a concave …

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At what distance from a concave mirror of focal length 10cm should an object 2cm long be placed in order to get an erect image 6cm tall?

Posted by Ruhi Kumari 8 years, 1 month ago

CBSE > Class 10 > Science

1 answers

Varun Banda 8 years, 1 month ago

Focal length of concave mirror f = -10 cm Height of the object ho = 2 cm

Height of the image hi = 6 cm Magnification m = hi/ho = 6/2 = 3 (erect image)

m = -v/u

3 = -v/u

⇒ v = -3u

Mirror formula: 1/v + 1/u = 1/f

1/(-3u) + 1/u = 1/(-10)

⇒ u = -20/3 = -6.7 cm

So the object should be placed at a distance of 6.7 cm from the pole of the concave mirror (on the left, in front of the mirror).

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