- #1

Archimedess

- 23

- 0

- Homework Statement
- We try with a thin convergent lens, by moving it on its optical axis, to project on a fixed screen the image of a small object located in the optical axis. This is only possible with two position of the lens ##I_1=20cm## and ##I_2=80cm##. Determine the ##d## distance from the object to the screen and focal length ##f## of the lens.

- Relevant Equations
- ##\frac{1}{p}+\frac{1}{q}=\frac{1}{f}##

##d=q+p##

Where ##p## is the distance of the object from the lens and ##q## is the distance between the image and the lens.

Since ##d=q+p \implies q=d-p##

\begin{cases}

\frac{1}{I_1}+\frac{1}{d-I_1}=\frac{1}{f}\\

\frac{1}{I_2}+\frac{1}{d-I_2}=\frac{1}{f}

\end{cases}

Is this correct?

\begin{cases}

\frac{1}{I_1}+\frac{1}{d-I_1}=\frac{1}{f}\\

\frac{1}{I_2}+\frac{1}{d-I_2}=\frac{1}{f}

\end{cases}

Is this correct?