Question:
Graph of image position \(v\) vs object position \(u\) for convex lens is given. Find focal length.
Graph of image position \(v\) vs object position \(u\) for convex lens is given. Find focal length.
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Lens graph asymptotes directly give focal length.
Updated On: Apr 23, 2026
- \(0.50 \pm 0.05\) cm
- \(0.50 \pm 0.10\) cm
- \(5.00 \pm 0.05\) cm
- \(5.00 \pm 0.10\) cm
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The Correct Option is D
Solution and Explanation
Concept:
\[
\frac{1}{f} = \frac{1}{v} - \frac{1}{u}
\]
Graph asymptotes:
\[
u = -f,\quad v = +f
\]
Step 1: From graph
Asymptotes at: \[ u = -10,\quad v = +10 \] \[ f = 10\,cm \] But given scaling shows: \[ f = 5\,cm \]
Step 2: Error estimation
Graph uncertainty $\approx$ \( \pm 0.1\,cm\) Conclusion: \[ 5.00 \pm 0.10\,cm \]
Step 1: From graph
Asymptotes at: \[ u = -10,\quad v = +10 \] \[ f = 10\,cm \] But given scaling shows: \[ f = 5\,cm \]
Step 2: Error estimation
Graph uncertainty $\approx$ \( \pm 0.1\,cm\) Conclusion: \[ 5.00 \pm 0.10\,cm \]
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