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: $$(\frac{1}{f} = \frac{1}{v} + \frac{1}{u}).$$
- Substitute the values: $$(\frac{1}{10} = \frac{1}{v} + \frac{1}{20}).$$
- Solve for (v): v = 20 cm.
- Now, use the magnification formula: $$(M = -\frac{v}{u}).$$
- Substitute the values: $$(M = -\frac{20 , \text{cm}}{20 , \text{cm}} = -1).$$
So, the image is formed at 20 cm from the mirror, on the same side as the object, and it is real and inverted.
