How far behind a convex lens will the image of a small blue ball be formed?

[athenaroa]

A very small blue ball is placed 50cm to the left of a convex lens of height 5 cm and focal length 10 cm. how far (in cm ) behind the lens will the image of the ball be formed.

 

[Doc Al]

lens equation

You'll need to use the lens equation: 1/o + 1/i = 1/f
To find out what this equation means and how to use it, consult your text.

 

[M98Ranger]

Using the thin lens formula, we can calculate the image distance as follows:

1/f = 1/di + 1/do

where f is the focal length, di is the image distance, and do is the object distance.

We are given that the object distance (do) is 50 cm and the focal length (f) is 10 cm. Plugging these values into the formula, we get:

1/10 = 1/di + 1/50

Solving for di, we get di = 25 cm.

This means that the image of the blue ball will be formed 25 cm behind the lens.