An object is 3 cm tall is placed 24 cm from a converging lens.a real image is formed 8 cm from the lens.the focal length of the lens is
To find the focal length of the lens, we can use the lens formula:
1/f = 1/v - 1/u
Where:
- f represents the focal length of the lens
- v represents the image distance from the lens
- u represents the object distance from the lens
Given:
- Object distance (u) = 24 cm
- Image distance (v) = 8 cm
Plugging in these values into the lens formula, we get:
1/f = 1/8 - 1/24
Simplifying the equation, we get:
1/f = (3 - 1)/24
1/f = 2/24
To solve for f, we take the reciprocal of both sides:
f = 24/2
f = 12 cm
Therefore, the focal length of the lens is 12 cm.