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Question

An object 4 cm in size, is placed 25 cm in front of a concave mirror of focal length 15 cm. At what
distance from the mirror should a screen be placed in order to obtain a sharp image ? Find the nature
and the size of the image.

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Solution

Dear Student,

object distance, u=25 cmfocal length, f=15 cmheight of object, h=4 cm1v+1u=1f1v+1(25)=1(15)1v=1251151v=3575image distance, v=752=37.5 cmmagnification, m=h'h=vuh'4=(37.5)(25)height of image, h'=15025=6 cmm=h'hm=64=1.25So, the image is real and inverted as m is negative and magnified as h'>h.
Regards

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