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Past exam of the physics 2 paper of the University of Oxford / 2016 / 10 / b / Solution

Codex (@codex,  0) ... Year 1 of the physics course of the University of Oxford Physics 2 paper of the University of Oxford Past exam of the physics 2 paper of the University of Oxford 2016 10 b
2026-10-25  0 By others on same topic  0 Discussions Create my own version
For a real image, u>f and v=fu/(u−f)>0. The object-to-image separation is
D=u+v=u−fu2​.
(1)
Its excess above 4f factors into a nonnegative expression:
D−4f=u−fu2−4f(u−f)​=u−f(u−2f)2​≥0.
(2)
Therefore
Dmin​=4f,u=v=2f​.
(3)
At this minimum the image is inverted and has unit absolute magnification. The restriction to a real object and a real image matters: the positive separation used here is not the same quantity as a signed distance to a virtual image.

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