Physic Labs

Problem 3

A transverse object of height HH is placed before a converging thin lens of focal length f>0f>0, perpendicular to its principal axis. Its distance from the lens is u=3fu=3f; use the convention that image distance v>0v>0 lies opposite the object and signed transverse magnification is M=−v/uM=-v/u. (a) Use the principal-ray construction to determine the image character and location. (b) Find the signed magnification and image height. (c) If a smaller object is placed at the same position, state what changes and what does not, explaining with the lens equation.
1f=1u+1v\frac1f=\frac1u+\frac1v
problems.proof.analysis

A ray parallel to the axis refracts through the image focus, while a ray through the optical center is undeviated. Their intersection is described by the thin-lens equation.