Error in the measurement of radius of a sphere is $0.2\%$. The error in the calculated value of its volume is ......... $\%$

  • A
    $0.2$
  • B
    $0.6$
  • C
    $0.4$
  • D
    $0.8$

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In an experiment to find acceleration due to gravity $(g)$ using a simple pendulum,the time period of $0.5 \ s$ is measured from the time of $100$ oscillations with a watch of $1 \ s$ resolution. If the measured value of length is $10 \ cm$ known to $1 \ mm$ accuracy,the accuracy in the determination of $g$ is found to be $x \%$. The value of $x$ is:

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