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Which of the following expressions gives the li... - JAMB Physics 1993 Question

Which of the following expressions gives the linear magnification produced by a concave mirror of radius of curvature r, if U and V are the object and image distances respectively?
A
\(\frac{V}{r}\) - 1
B
\(\frac{2V}{r}\) - 1
C
\(\frac{U}{r}\) - 1
D
\(\frac{2U}{r}\) - 1
correct option: d
F = \(\frac{r}{2}\) and v = mu

F = \(\frac{UV}{U + V}\)

\(\frac{r}{2}\) = \(\frac{U \times mu}{U + mu}\)

\(\frac{r}{2}\) = \(\frac{mu^2}{V(1 + m)}\)

m = \(\frac{2u}{r}\) - 1
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