In an experiment to measure focal length ( f ) of convex lens, the least counts of the measuring scales for the position of object ( u ) and for the position of image ( v ) are Δ u and Δ v , respectiv

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In an experiment to measure focal length ( f ) of convex lens, the least counts of the measuring scales for the position of object ( u ) and for the position of image ( v ) are Δ u and Δ v , respectively. The error in the measurement of the focal length of the convex lens will be:

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​ f − 1 = v − 1 − u − 1 − f − 2 df = − v − 2 dv − u − 2 du f 2 df ​ = v 2 dv ​ + u 2 du ​ df = f 2 [ v 2 dv ​ + u 2 du ​ ] ​

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