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An object of size 7 cm is placed at a distance of 27 cm in front of a concavemirror of focal length 18 cm. Find position, nature and size of image formed |
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Answer» Answer: Thus,we should place a screen at a distance of 54 cm on the same side as of object as to get sharp IMAGE. Thus,the height of image is 14cm and is inverted at a distance of 54cm for sharp image formation. Explanation: TO FIND: The nature and size of image formed also the distance from which mirror should be PLACED fro sharp image GIVEN: Object size=7cm Object distance[U]=27cm Focal length of CONCAVE mirror[F]=18cm Let V be the image distance So by mirror formula we know that; 1/f=1/V+1/U 1/(-18)=1/V+1/(-27) 1/V=1/(-18)+1/27 1/V= (-3+2)/54 1/V= -1/54 V=-54cm Thus,we should place a screen at a distance of 54 cm on the same side as of object as to get sharp image. The magnification is shown by: m=-V/U m=-(-54)/-27 m= -2 Magnification of image will be |2| and - shows the inverted nature of image m is also stated as m= height of image/height of object -2= height of image/7 height of image= -14cm Thus,the height of image is 14cm and is inverted at a distance of 54cm for sharp image formation. |
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