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In u-v method to find focal length of a ...

In `u-v` method to find focal length of a concave mirror, if object distance is found to be `10.0 cm` and image distance was also found to be `10.0 cm`, then find maximum permissible error in f.

Text Solution

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`(1)/(u) + (1)/(gamma) = (1)/(r) rArr (1)/((-10)) + (1)/((-10)) = (1)/(f) rArr |f| = 5cm`
`(Deltaf)_(max)=((Deltau)/(u^(2))+(Deltav)/(v^(2)))xxf^(2)rArr(Deltaf)_(max)((0.1)/(10^(2))+(0.1)/(10^(2)))xx5^(2)=0.05cm`
`so f = (+-0.05)cm` .
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