The percentage error in measurement of mass and speed are $3\%$ and $2\%$ then error in kinetic energy will be .......... $\%$

  • A

    $6$

  • B

    $7$

  • C

    $10$

  • D

    $12$

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The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are $4\%$ and $3\%$ respectively, the maximum error in the measurement of density will be   ........ $\%$

  • [AIIMS 2013]

In Ohm's experiment, the value of an unknown resistance were found to be $4.12\; \Omega, 4.08 \;\Omega, 4.22 \;\Omega$ and $4.14 \;\Omega$. Calculate absolute error and relative error in these measurement.

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$Assertion$ : When percentage errors in the measurement of mass and velocity are $1\%$ and $2\%$ respectively, the percentage error in $K.E.$ is $5\%$.

$Reason$ : $\frac{{\Delta E}}{E} = \frac{{\Delta m}}{m} + \frac{{2\Delta v}}{v}$

  • [AIIMS 2010]