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What is the fractional error?...

What is the fractional error?

Text Solution

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Ratio of mean absolute error to the mean value (or) relative error or fractional error = mean absolute error/mean value.
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Using a screw gauge the thickness of a wire was measured as 5 mm. Calculate (i) the fractional error (ii) the percentage error. Given data: Thickness of wire (t) =5 mm Accuracy Deltat=0.01mm

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Knowledge Check

  • (I) The ratio of mean absolute error to the mean value is called fractional error (II) Due to the wrong observations Recording, Random errors occur. Which statement is correct?

    A
    I only
    B
    II only
    C
    Both are correct
    D
    None

  • A physical quantity is given is y = (a b^(3))/(c^(2)) . "If" Deltaa, Deltab, Deltac are absolute errors, the possible fractional error in y is .........

    A
    `(Deltay)/(y) =(DeltaaDeltab)/(2Deltac)`
    B
    `(Deltay)/(y) = (Deltaa)/(a) +3 (Deltab)/(b) + 2 (Deltac)/(c)`
    C
    `(Deltay)/(y) = (Deltaa)/(a) + ((Deltab)/(a))^(3) + ((Deltac)/(c))^(2)`
    D
    `(Deltay)/(y)= (Deltaa)/(a) + (Deltab)/(a) + (Deltac)/(c)`

  • The maximum fractional error in the difference of two quantities is…………

    A
    Z = A + B
    B
    `DeltaZ = DeltaA -DeltaB`
    C
    `(DeltaZ)/(Z) = (DeltaA)/(A) + (DeltaB)/(B)`
    D
    `(DeltaZ)/(Z) = (DeltaADeltaB)/(AB)`

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