Problem 3

A thin converging lens has focal length

f=20\,\mathrm{cm}

. An object of height

h_o=2.0\,\mathrm{cm}

is perpendicular to the axis,

u=30\,\mathrm{cm}

from the lens on the object side. Neglect thickness; use positive object distance and focal length,

v>0

for a real image beyond the lens, and

m=-v/u

. (a) Find image distance and nature. (b) Find magnification, image height, and orientation. (c) Locate a screen for a sharp image.

problems.proof.stepOf

\boxed{v=60\,\mathrm{cm},\ m=-2,\ h_i=-4.0\,\mathrm{cm}}

problems.proof.analysis

The image is real, inverted, and twice the object size, consistent with the screen location.