The resistance R of a wire is given...
Question
The resistance R of a wire is given by the relation R = Pl/πr2 percentage error in the measurement of p, I and r is 1%, 2% and 3 % respectively. Then the percentage
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The resistance ( mathrm{R} ) of a wire is given by the relation
( mathrm{R}=frac{rho ell}{pi r^{2}} . ) Percentage error in the measurement of ( rho, ell ) and ( r ) is ( 1 %, 2 % ) and ( 3 % ) respectively. Then the percentage error in the measurement of ( mathrm{R} ) is
(1) ( 6 % )
(2) ( 9 % )
(3) ( 8 % )
(4) ( 10 % )

NEET/Medical Exams
Physics
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The resistance R of a wire is given by the relation R = Pl/πr2 percentage error in the measurement of p, I and r is 1%, 2% and 3 % respectively. Then the percentage error in the measurement of R is
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( begin{aligned} P &=frac{rho 1}{pi r^{2}} frac{Delta R}{R} &=frac{Delta R}{rho} pm frac{D L}{l}+2 frac{Delta r}{r} &=1+2 pm 2(3) &=90 quad(2) Ans{}_{} end{aligned} )

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