The error in the measurement of the radius of a sphere is $1\%$. The error in the calculated value of its volume is ......... $\%$

  • A
    $1$
  • B
    $3$
  • C
    $5$
  • D
    $7$

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The least count of a stop watch is $\frac{1}{5} \text{ s}$. The time of $20$ oscillations of a pendulum is measured to be $25 \text{ s}$. The maximum percentage error in the measurement of time will be .......... $\%$

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$A$ physical quantity is $A = P^2/Q^3$. The percentage error in the measurement of $P$ and $Q$ is $x$ and $y$ respectively. The maximum percentage error in the measurement of $A$ is:

$A$ simple pendulum is being used to determine the value of gravitational acceleration $g$ at a certain place. The length of the pendulum is $25.0 \; cm$ and a stopwatch with $1 \; s$ resolution measures the time taken for $40$ oscillations to be $50 \; s$. The accuracy in $g$ is ....... $\%$ (in $.40$)

If the absolute error is $0.05 \ m$ for a measured length of $5 \ m$, what is the percentage error (in $\%$)?

We measure the period of oscillation of a simple pendulum. In successive measurements,the readings turn out to be $2.63 \;s, 2.56 \;s, 2.42 \;s, 2.71 \;s$,and $2.80 \;s$. Calculate the absolute errors,relative error,and percentage error.

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