Question

An object is placed in front of a convex mirror. The image of the object formed by convex mirror is at a distance 40 cm from the object. A plane mirror, with its reflecting face facing the object is introduced in between object and the mirrors at 5 cm from convex mirror. If image formed by both mirrors coincide, find the focal length of convex mirrors

Answer 1

Dear Student,
$$\begin{gathered} letthedis\tan ceofobjectfromtheconvexlensisuandofimageis40-u \\ andfocallengthf \\ thenbylensformula \\ \frac{1}{40-u}+\frac{1}{u}=\frac{1}{f}------1 \\ accordingtoquestion \\ u-5=40-u+5-------2 \\ fromhereu=25cm \\ putinequation1 \\ wegetf=9.375cm \end{gathered}$$
Regard