Question
What is linear magnification? Write its formula. What is the relation between $h_1, h_2, u$ and $v.$

Answer

The ratio of height of image $(h_2)$ to the height of the object $(h_1)$ is called linear magnification $(M).$
$\therefore$ Magnification $=\frac{\text { Height of the image }}{\text { Height of the object }}$
$\therefore M =\frac{h_2}{h_1}$_________________$(i)$
Linear magnification can also be found out as the ratio of the image distance $(v)$ to the object distance $(u).$
$\therefore$ Magnification $=\frac{\text { Image distance }}{\text { object distance }}$
$\therefore M =\frac{ V }{ u }$_________________$(ii)$
From $(i)$ and $(ii)$,
$\therefore M =\frac{ h _2}{h_1}=\frac{ V }{ u }$

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