an object 4 cm in size is placed at 30 cm in front of concave mirror of focal length 20 cm. At what distance from the mirror should a screen be placed to obtain a sharp image?Find nature and size of Image
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Answer:
Explanation:Here, h1=4cm,u=−30cm,f=−20cm,v=?
v=?, h2=?
From mirror formula
1/v+1/u=1/f
1/v=1/f−1/u =
v=−60cm
∴ the Distance of screen from the mirror =60cm
As h2/h1 = −v/u =-60/30=−2
h2=−2h1 =−2×4=−8cm
the Negative sign is for inverted image.
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Solution. Negative sign indicates that the image is in front of the mirror. Therefore, the screen must be placed in front of the mirror at a distance of 37.5 cm.
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