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In an experiment to measure the focal le...

In an experiment to measure the focal length of a concave mirror. If was found that for an object distance of 0.30 m, the image distance come out to be 0.60 m. Let us determine the focal length.

Text Solution

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By mirror formula, `{:(,,u=-0.30m),((1)/(v)+(1)/(u)=(1)/(f), rArr,),(,,v=-0.60m):}`
`rArr (1)/(f)=(-1)/(0.30)-(1)/(0.60)rArr (1)/(f)=(-3.0)/(0.60)rArrf =0.20m`
As `(1)/(f)=(1)/(v)+(1)/(u)rArr(-df)/(f^(2))=(-dv)/(v^(2))-(du)/(u^(2))rArrdf=(0.20)^(2)[(0.01)/((0.60)^(2))+(0.01)/((0.30)^(2))]rArrdf=0.0055~~ 0.01 m`
`:.` Focal length `f=(0.20 pm0.01)m`.
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