$A$ physical quantity $X$ is given by $X = \frac{2k^3l^2}{m\sqrt{n}}$. The percentage errors in the measurements of $k, l, m$ and $n$ are $1\%, 2\%, 3\%$ and $4\%$ respectively. The value of $X$ is uncertain by .......... $\%$

  • A
    $8$
  • B
    $10$
  • C
    $12$
  • D
    $14$

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Similar Questions

In an experiment,the mass of an object is measured by applying a known force on it and then measuring its acceleration. If in the experiment,the measured values of applied force and the measured acceleration are $F = 10.0 \pm 0.2 \, N$ and $a = 1.00 \pm 0.01 \, m/s^2$,respectively,then the mass of the object is ............... $kg$.

The least count of a stop watch is $\frac{1}{5} \text{ s}$. The time of $20$ oscillations of a pendulum is measured to be $25 \text{ s}$. The maximum percentage error in the measurement of time will be .......... $\%$

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The radius of a sphere is measured to be $(7.50 \pm 0.85) \, cm$. Suppose the percentage error in its volume is $x$. The value of $x$,to the nearest integer is .....$\%$

Explain the statement: "The accuracy of a measurement cannot be determined by absolute error,but only by percentage error."

Why should the measurement of physical quantities with large exponents in an experiment be taken with high precision?

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