An object is placed 25 cm in front of a fully silvered concave mirror of focal length 15 cm. A plane mirror is placed 35 cm behind the concave mirror on the side opposite to the object. The final image after reflection first from the concave mirror and then from the plane mirror is formed at:

Step-by-step solution

For the first reflection from the concave mirror: Object distance, u = -25 cm Focal length, f = -15 cm Using the mirror formula: 1 v + 1 u = 1 f 1 v - 1 25 = - 1 15 1 v = 1 25 - 1 15 = 3 - 5 75 = - 2 75 v = -37.5 cm The first image I₁ is formed 37.5 cm in front of the concave mirror. Now, for the second reflection from the plane mirror: The plane mirror is placed 35 cm behind the concave mirror (on the opposite side of the object). Thus, the total distance of the first image I₁ from the plane mirror is: d = 37.5 cm