Problem 3
An object is placed a distance from a converging thin lens of focal length . Use the thin-lens convention , with a real image having . Find the image position and signed lateral magnification for object height $h. Assume the string, pulley, electrical source, or optical apparatus is ideal as stated, and neglect any effect not specified. State a clear sign convention, identify the physical Keep one model and sign convention throughout. Reuse each intermediate result with the same convention, then check that the answer has the required physical dimensions. (a) Set up the physical relation. (b) Find an intermediate quantity. (c) Obtain the answer and check its conditions and units.
problems.proof.stepOf
problems.proof.analysis
Taking the reciprocal yields the real image distance, which has units of length. This is consistent with the stated model and the chosen sign convention.
problems.proof.pitfall. Keep the real-image sign convention consistent: with , is positive but the image is inverted.