Combination of Spherical Mirrors

Q. A concave mirror of focal length $10\text{cm}$ and a convex mirror of focal length $15\text{cm}$ are placed $40\text{cm}$ apart facing each other’s reflecting surface. A point object is placed between the mirror on their common axis and $15\text{cm}$ from the concave mirror. Find the position of images produced by reflection at concave mirror first and then at convex mirror.

1. $10\text{cm}$ behind the convex mirror
2. $6\text{cm}$ behind the convex mirror
3. $10\text{cm}$ infront of the convex mirror
4. $6\text{cm}$ infront of the convex mirror

Q. A converging mirror M1, a point source S and a diverging mirror M2 are arranged as shown in fig. The source is placed at a distance of 30 cm from M1. The focal length of each of the mirrors is 20 cm. Consider only the images formed by a maximum of two reflections. It is found that one image is formed on the source itself. Find the distance between the two mirrors.

1. 30 cm
2. 40 cm
3. 50 cm
4. 60 cm

Q. In figure find the total magnification after two successive reflections first on $M_1$ and then on $M_2$.

1. + 1
2. - 2
3. + 2
4. - 1