Question

An object is placed 10.0 cm to the left of a convex lens with a focal length of +8.0 cm . Where is the image of the object?40 cm to the right of the lens18 cm to the left of the lens18 cm to the right of the lens40 cm to the left of the lens

Answer 1

Explanation:

The relationship between the distance of the image from the center of the mirror di, the distance of the object do, and the focal length f is:

$\frac{1}{d_0}+\frac{1}{d_i}=\frac{1}{f}_{}$

So, replacing the values, we get:

$\frac{1}{10}+\frac{1}{d_i}=\frac{1}{8}$

Then, replacing the values and solving for di, we get:

$\begin{gathered} \frac{1}{d_i}=\frac{1}{8}-\frac{1}{10} \\ \frac{1}{d_i}=\frac{1}{40} \\ d_i=40\text{ cm} \end{gathered}$

Therefore, the answer is 40 cm to the right of the lens.