Physic Labs

Problem 3

An object is at distance d>f from a converging lens of focal length f. Find image position using the lens equation and its magnification. Use the stated ideal model: quantities are constant or vary only as specified, with no extra drag, losses, or external influences. State a sign convention, keep units consistent, and use a classical approximation only where appropriate. (a) Set up the governing equation from a fundamental law. (b) Solve for the requested quantity under the stated conditions. (c) Check the result using a suitable limit, sign, or unit test, and report both the expression and its physical meaning.
problems.proof.stepOf
problems.proof.prevStepproblems.proof.nextStep
di=fdd−f>0,m=−fd−f;f<d<2f:real, inverted, enlarged; d=2f:same size; d>2f:reducedd_i=\frac{fd}{d-f}>0,\quad m=-\frac{f}{d-f};\quad f<d<2f:\text{real, inverted, enlarged};\ d=2f:\text{same size};\ d>2f:\text{reduced}
problems.proof.analysis

The boxed expressions answer the parts in order. Signs, conditions of validity, and constants follow the conventions in the statement.