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Q.

The graph shows relationship between object distance and image distance for a equiconvex lens. Then, focal length of the lens is 

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a

0.50±0.05cm

b

0.50±0.10cm

c

5.00±0.05cm

d

5.00±0.10cm

answer is C.

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Detailed Solution

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From  the graph  U=10cm;v=10cmΔu=Δv=0.1 
From lens formula,    1f=1v1u=110110       f=5cm
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Differentiating lens  formula, 
1f=1v1uΔff2=Δvv2+Δuu2               Δf25=0.1(10)2+0.1(10)2

                       Δf=25×0.1×2×0.01=0.05

         Focal   length  f±Δf=(500±0.05)cm

     Δf25=0.1(10)2+0.1(10)2                      Δf=25×0.1×2×0.01=0.05

            Focal length,  f±Δf=(5.00±0.05)cm

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