Related Problems with Solution
Problem 2 : An object is placed 20 cm in front of a concave mirror with a focal length of 10 cm. Determine the position and nature of the image formed by the mirror.
Solution :
Use the mirror formula: 1/f = 1/v + 1/u
- f = focal length of the mirror = -10 cm (negative for concave mirrors)
- u = object distance = -20 cm (negative because the object is in front of the mirror)
Plugging these values into the formula: 1/(-10 cm) = 1/v + 1/(-20 cm)
Now, solve for v: 1/v = -1/10 + 1/20 1/v = -2/20 + 1/20 1/v = -1/20
v = -20 cm
The negative sign indicates that the image is formed on the same side as the object, which is typical for concave mirrors. So, the image is real and located 20 cm in front of the mirror.
