The percentage errors in the measurement of mass and momentum of an object are $1 \%$ and $2 \%$ respectively. The percentage error in the measurement of kinetic energy of the object is

  • A
    $3$
  • B
    $4$
  • C
    $5$
  • D
    $1$

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The period of oscillation of a simple pendulum in an experiment is recorded as $2.63\, s, 2.56\, s, 2.42\, s, 2.71\, s$,and $2.80\, s$ respectively. The average absolute error is ......... $s$.

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Young's modulus is determined by the equation $Y = 49000 \frac{M}{\ell} \text{ dyne/cm}^2$,where $M$ is the mass and $\ell$ is the extension of the wire used in the experiment. The error in Young's modulus $(Y)$ is estimated by taking data from the $M-\ell$ plot on graph paper. The smallest scale divisions are $5 \text{ g}$ and $0.02 \text{ cm}$ along the load axis and extension axis,respectively. If the values of $M$ and $\ell$ are $500 \text{ g}$ and $2 \text{ cm}$ respectively,then the percentage error of $Y$ is: (in $\%$)

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