The most accurate reading of the length of a $6.28 \,cm$ long fibre is ............... $cm$.

  • A
    $6$
  • B
    $6.5$
  • C
    $5.99$
  • D
    $6.0$

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Two resistances are measured in $\Omega$ and are given as $R_1 = 3 \Omega \pm 1\%$ and $R_2 = 6 \Omega \pm 2\%$. When they are connected in parallel,the percentage error in equivalent resistance is .......... $\%$

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Consider a physical quantity $Z$ expressed as $Z = \frac{A B^{1/2}}{C^2}$. If the relative error in the magnitudes of $A, B,$ and $C$ is $1\%$,then the relative error in $Z$ will be: (in $\%$)

The relative error in the measurement of the side of a cube is $0.027$. The relative error in the measurement of its volume is ..........

An experiment is performed to obtain the value of acceleration due to gravity $g$ by using a simple pendulum of length $L$. In this experiment,the time for $100$ oscillations is measured by using a watch of $1$ second least count,and the value is $90.0$ seconds. The length $L$ is measured by using a meter scale of least count $1$ mm,and the value is $20.0$ cm. The error in the determination of $g$ would be ........... $\%$.

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