A student attempts to find the image distance for a concave lens and records the…

PHYSICS · Single correct · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction

Problem

A student attempts to find the image distance for a concave lens and records the following steps: Step I: u=−18 cmu = -18\,\text{cm}, f=−6 cmf = -6\,\text{cm} Step II: Uses the lens formula 1v−1u=1f\displaystyle \frac{1}{v} - \frac{1}{u} = \frac{1}{f} Step III: Writes 1v−118=−16\displaystyle \frac{1}{v} - \frac{1}{18} = -\frac{1}{6} Step IV: Continues the calculation to obtain v=−9 cmv = -9\,\text{cm} At which step does the first sign inconsistency with the Cartesian convention appear? (a) Step II (b) Step I (c) Step III (d) Step IV

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