If the error in the measurement of the radius of a sphere is $2\%$,then the error in the determination of the volume of the sphere will be ........ $\%$

  • A
    $2$
  • B
    $4$
  • C
    $6$
  • D
    $8$

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$A$ physical quantity $C$ is related to four other quantities $p, q, r$ and $s$ as follows:
$C = \frac{pq^2}{r^3 \sqrt{s}}$
The percentage errors in the measurement of $p, q, r$ and $s$ are $1\%, 2\%, 3\%$ and $2\%$ respectively.
The percentage error in the measurement of $C$ will be . . . . . . $\%$.

Write the types of errors in the measurement of a physical quantity and explain them.

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 ........... $\%$

$A$ certain body weighs $22.42 \; g$ and has a measured volume of $4.7 \; cc$. The possible errors in the measurement of mass and volume are $0.01 \; g$ and $0.1 \; cc$,respectively. Then the maximum percentage error in the density will be: (in $\%$)

The length of a pendulum is measured as $1.01 \ m$ and the time for $30$ oscillations is measured as $1 \ minute \ 3 \ s$. The error in length is $0.01 \ m$ and the error in time is $3 \ s$. The percentage error in the measurement of acceleration due to gravity is: (in $\%$)

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