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An experiment measures quantities a, b, ...

An experiment measures quantities `a`, `b`, `c` and `x` the value of `x` is calculated from `x=ab//c^(3)`. If the maximum percentage error in `a`, `b` and `c` are `1%`, `1%` and `2%` respectively, then

A

the error in `x` may be zero

B

for any particular reading, error in `x` may `10%`

C

maximum percentage error in `x` is `-4%`

D

maximum percentage error in `x` is `8%`

Text Solution

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`|(Deltax)/(x)|=|(Deltaa)/(a)|+|(Deltab)/(b)|+3|(Deltac)/(c )|`
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Knowledge Check

  • An experiment measures quantities a, b and c and X is calculated from X= ab^(2)//c^(3) . If the percentage error in a, b and c are pm 1%, pm 3% and pm 2% respectively, the percentage error in X will be-

    A
    `pm 13 % `
    B
    `pm 7 % `
    C
    `pm 4 % `
    D
    `pm 1 %`

  • An experiment measures quantites a, b, c and X is calculated from the formula X = (ab^(2))/(c^(3)) If the percentage errors in a,b,c are +- 1%, +- 3%, +- 2% respectively, the perentage error in X can be

    A
    `+- 13%`
    B
    `+-7%`
    C
    `+-4%`
    D
    `+-1%`

  • In an experiment, we measure the quantities a, b, c and then calculate x by using the formula x=ab^(3)//c^(2) . The percentage errors in a, b, c are pm1%,pm3%andpm2% respectively. What is the percentage error in x?

    A
    `pm1%`
    B
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    C
    `pm10%`
    D
    `pm8%`

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