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Q. Find the distance of the image from object $O$, formed by the combination of lenses in the figure :
image

JEE MainJEE Main 2021Ray Optics and Optical Instruments

Solution:

$\frac{1}{ V _{1}}+\frac{1}{30}=\frac{1}{10}$
$\frac{1}{ V _{1}}=\frac{2}{30} $
$\Rightarrow V _{1}=15 \,cm$
$\frac{1}{ V _{2}}-\frac{1}{10}=-\frac{1}{10}$
$\frac{1}{ V _{2}}=0$
$V _{2}=\infty$
$V _{3}=30\, cm$
$OV _{3}=75 \,cm$