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In an experiment to determine an unknown...

In an experiment to determine an unknown resistance, a 100 cm long rets tance wire is used. The unknown resistance is kept in the left gap and a known resistance is put into the right gap. The scale to measure length has a least count 1 mm. The null point B is obtained at 40.0 cm from the left gap. We shell determine the percentage error in the computation of unknown resistance.

Text Solution

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As shown in the figure. `(P)/(Q)=(l)/(100-l),P prop (l)/(100-l)`
`rArr(DeltaP)/(P)=(Deltal)/(l)+(Delta(100-l))/(100-l)=(Deltal)/(l)+(Deltal)/(100-l)=(0.1)/(40.0)+(0.1)/(60.0)rArr (DeltaP)/(P)xx100=0.42 %`.
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