Physic Labs

Problem 3

A converging thin lens has focal length ff; an object is at distance u>fu>f. Find image distance and magnification. Assume ideal objects and components, neglect unstated losses, and use SI units. (a) Derive the primary requested quantity from the appropriate law. (b) Analyze quantitatively how the result depends on the given parameters. (c) Check a physically meaningful limiting case and explain its meaning. State sign conventions, show reasoning, and check dimensions. (a) Calculate the requested quantity from the data. (b) Give the law or expression showing parameter dependence. (c) Examine a limit consistent with the model.
M=HiH=−vu=−fu−fM=\frac{H_i}{H}=-\frac vu=-\frac{f}{u-f}
problems.proof.analysis

Substituting the result into the requested relation shows how parameters affect the answer instead of treating the parts as unrelated.