The values of a number of quantities are used in a mathematical formula. The quantity that should be most precise and accurate in measurement is the one

  • A
    Having smallest magnitude
  • B
    Having largest magnitude
  • C
    Used in the numerator
  • D
    Used in the denominator

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Similar Questions

$A$ quantity $P$ is related as $P = X^{-2}Y^{-3/2}Z^{2/5}$, where $X, Y, Z$ are independent parameters which have fractional errors of $0.1, 0.2$ and $0.5$ respectively in measurement. The maximum fractional error in $P$ is

If $Q = \frac{X^n}{Y^m}$ and $\Delta X$ is the absolute error in the measurement of $X,$ and $\Delta Y$ is the absolute error in the measurement of $Y,$ then the absolute error $\Delta Q$ in $Q$ is:

$A$ cylindrical wire has a mass $(0.3 \pm 0.003) \text{ g}$,radius $(0.5 \pm 0.005) \text{ mm}$ and length $(6 \pm 0.06) \text{ cm}$. The maximum percentage error in the measurement of its density is (in $\%$)

The percentage error in the measurement of $g$ is $.....\%$ (Given that $g = \frac{4 \pi^2 L}{T^2}$,$L = (10 \pm 0.1) \, cm$,$T = (100 \pm 1) \, s$)

$A$ student performs an experiment for the determination of $g = \frac{4 \pi^{2} \ell}{T^{2}}$. Given $\ell = 1 \, m$,the student commits an error of $\Delta \ell$. For $T$,the student measures the time of $n$ oscillations using a stopwatch with a least count of $\Delta T$ and commits a human error of $0.1 \, s$. For which of the following data will the measurement of $g$ be the most accurate?

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