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Define linear magnification and obtain an expression for it?

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The size of the image relative to the size of the object is another important quantity to consider. We define linear magnification (m) as the ratio of the height of the image (h′) to the height of the object (h):

h and h ′ will be taken positive or negative in accordance with the accepted sign convention. In triangles A′B′P and ABP, we have, 

With the sign convention, this becomes

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