Problem 3
An object is placed at distance from a converging thin lens of focal length . Find image distance and signed magnification ; real images have . The thin lens is in air, and an object of height is perpendicular to the principal axis; a real image forms on the opposite side. (a) Find from the lens equation. (b) Find the signed magnification . (c) Find signed image height and state whether the image is upright or inverted. Express each answer in terms of the supplied parameters, using SI units for any numerical evaluation. State the assumptions used, check dimensions at each result, and compare with the governing law to catch a sign error or a missing condition.
problems.proof.stepOf
problems.proof.analysis
The next equation adds the relevant constraint or conservation law. Without it, the variables would not be linked and the system could not be solved consistently.
problems.proof.pitfall. Do not omit the sign convention or the model’s physical condition; check the limiting case before accepting a solution.