Question

An object of size 7.0cm is placed at 27cm in front of a concave mirror of focal length 18cm. At what distance from the mirror should a screen be placed,so that a sharp focused image can be obtained? find the size and the nature of the image.​

Answer 1

Answer:

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Explanation:

$Given:</p><p></p><p>size of object, o=+7cm</p><p></p><p>distance of object ,u=−27cm</p><p></p><p>focal length of concave mirror, f=−18cm</p><p></p><p>let us take size of image=I</p><p></p><p>so, mirror formula is </p><p></p><p>v1+u1=f1</p><p>so, putting values of u and v,</p><p></p><p>v1=−181−−271</p><p>v1=−541</p><p>v=−54cm</p><p>so, image is formed on object side only.</p><p>magnification,</p><p>m=u−v=oI</p><p>m=−−27−54=7I I=−14cm</p><p></p><p>so, image is double in size to that of object.</p><p>Nature: real, inverted and magnified image.$

The screen should be placed at a distance of 54 cm on the object side of the mirror to obtain a sharp image