Related Problems with Solution

Problem 1 : Concave Mirror

Problem Statement: A concave mirror has a focal length of 10 cm. An object is placed at a distance of 20 cm from the mirror. Determine the position and nature of the image formed.

Solution :
  • Given: Focal length ((f)) = 10 cm, Object distance ((u)) = 20 cm.
  • Use the mirror equation: (1f=1v+1u).
  • Substitute the values: (110=1v+120).
  • Solve for (v): v = 20 cm.
  • Now, use the magnification formula: (M=vu).
  • Substitute the values: (M=20,cm20,cm=1).

So, the image is formed at 20 cm from the mirror, on the same side as the object, and it is real and inverted.