Question

This object is located 8.0 cm to the left of the lens, and the image forms at 16.0 cm to the right of the lens.What is the focal length of the lens?

Answer 1

Step-by-step explanation:

To find the focal length, we will use the following equation

`(1)/(f)=(1)/(d_o)+(1)/(d_i)`

Where do is the distance of the object and di is the distance of the image.

So, replacing do = 8.0 cm and di = 16.0 cm, we get

`\begin{gathered} (1)/(f)=(1)/(8)+(1)/(16) \\ \\ (1)/(f)=(3)/(16) \\ \\ f=(16)/(3)=5.3\text{ cm} \end{gathered}`

Therefore, the focal length is 5.3 cm