# 2. An object is placed 25 cm from the surface of a convex mirror and plane mirror is set so that the images formed in the two plane mirrors lie adjacent to each other. The plane mirror is 20 cm from the object. Find the radius of curvature of the convex mirror. (Answer :- R = 75 cm)

$Accordingtoquestion\phantom{\rule{0ex}{0ex}}Imageformedbyconvexmirrorwillbegivenby\phantom{\rule{0ex}{0ex}}20-5=15cm\phantom{\rule{0ex}{0ex}}Sobymirrorformula\phantom{\rule{0ex}{0ex}}\frac{1}{15}-\frac{1}{25}=\frac{1}{f}\phantom{\rule{0ex}{0ex}}f=\frac{25\times 15}{25-15}=37.5\phantom{\rule{0ex}{0ex}}Butwehave\phantom{\rule{0ex}{0ex}}2f=R\phantom{\rule{0ex}{0ex}}R=37.5\times 2=75cm$

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