Related Problems with Solution

Problem 1 : Convex Mirror

Problem Statement: A convex mirror has a focal length of -15 cm. An object is placed at a distance of 30 cm from the mirror. Determine the position and nature of the image formed.

Solution :
  • Given: Focal length ((f)) = -15 cm, Object distance ((u)) = 30 cm.
  • Use the mirror equation: (1f=1v+1u).
  • Substitute the values: (115=1v+130).
  • Solve for (v): (v=10,cm).
  • Now, use the magnification formula: (M=vu).
  • Substitute the values: (M=10,cm30,cm=13). So, the image is formed at 10 cm from the mirror, on the same side as the object, and it is virtual, upright, and diminished.