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.
m=hiho=−didm=\frac{h_i}{h_o}=-\frac{d_i}{d}
problems.proof.analysis

Solve the relation for the unknown while preserving algebraic signs and physical restrictions. Use any stated geometry or definition to express the result in the given data.

problems.proof.pitfall. A negative magnification means the image is inverted; its magnitude |m| determines enlargement or reduction.