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If error in measuring the length of a wire is 2 % and error in measuring its radius is 1 %, find the maximum possible error in its resistance

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a
4 %
b
2 %
c
2.5 %
d
3 %

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detailed solution

Correct option is A

R=ρ.lπr2⇒R∝lr-2∴∆RRmax×100 %=∆ll × 100 %+2.∆rr × 100 %                                 =2 %+2 x 1 %=4 %


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A physical quantity A is related to four observable a, b, c and d as A=a2b3cd . The percentage errors of measurement in a, b, c and d are 1 %, 3 %, 2 % and 2 % respectively. What is the percentage error in the quantity A ?


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