Question

A concave mirror of focal length 10 and 15 cm are placed facing each other 40 cm apart. A point object is placed between the mirror on the mirror on their common axis and 15 cm from the concave mirror. Find the position of the image produced by reflection at convex mirror

Answer 1

Dear student
$$\begin{gathered} Firstconsideringthereflectionatconcavemirror \\ \frac{1}{u}+\frac{1}{v}=\frac{1}{f} \\ \frac{1}{-15}+\frac{1}{v}=\frac{1}{-10} \\ v=-30 \\ thanconsideringthereflectionatconvexmirror \\ dis\tan ceofobjectfromconvexmirroris10cmoppositetothesideofitsfocus \\ \frac{1}{u}+\frac{1}{v}=\frac{1}{f} \\ \frac{1}{-10}+\frac{1}{v}=\frac{1}{15} \\ v=6cm \\ Regards \end{gathered}$$