Thickness of a pencil measured by using a screw gauge (least count $0.001 \,cm$ ) comes out to be $0.802 \,cm$. The percentage error in the measurement is ........... $\%$

  • A

    $0.125$

  • B

    $2.43$

  • C

    $4.12$

  • D

    $2.14$

Similar Questions

If $Z=\frac{A^{2} B^{3}}{C^{4}}$, then the relative error in $Z$ will be

  • [JEE MAIN 2022]

While measuring the acceleration due to gravity by a simple pendulum, a student makes a positive error of $1\%$ in the length of the pendulum and a negative error of $3\%$ in the value of time period. His percentage error in the measurement of $g$ by the relation $g = 4{\pi ^2}\left( {l/{T^2}} \right)$ will be  ........ $\%$

Calculate the mean $\%$ error in five observation

$80.0,80.5,81.0,81.5,82$

  • [AIIMS 2019]

A physical quantity $P$ is given as $P=\frac{a^2 b^3}{c \sqrt{d}}$ The percentage error in the measurement of $a, b, c$ and $d$ are $1 \%, 2 \%, 3 \%$ and $4 \%$ respectively. The percentage error in the measurement of quantity $P$ will be $.......\%$

  • [JEE MAIN 2023]

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 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  ........... $\%$

  • [JEE MAIN 2014]