Physic Labs

Problem 3

An object is placed a distance u>fu>f from a converging thin lens of focal length ff. Find the image distance vv and transverse magnification mm, and state whether the image is real or virtual. (a) State the assumptions and establish the governing equation for the requested quantity. (b) Solve it in terms of the given symbols, identifying the direction, sign, or physical nature of the result. (c) Check a simple limiting case and state when the model remains valid. Use SI units consistently, retain the symbols in the setup, and enforce all geometric constraints and initial conditions.
problems.proof.stepOf
problems.proof.prevStepproblems.proof.nextStep
1f=1u+1v,1v=1f−1u=u−ffu,v=fuu−f,m=−vu=−fu−f\boxed{\frac1f=\frac1u+\frac1v,\quad \frac1v=\frac1f-\frac1u=\frac{u-f}{fu},\quad v=\frac{fu}{u-f},\quad m=-\frac vu=-\frac f{u-f}}
problems.proof.analysis

The results are listed in the order requested and use one consistent sign convention. Their dimensions, initial conditions, and model constraints must all agree.