The values of a number of quantities are used in a mathematical formula. The quantity that should be most precise and accurate in measurement is the one

  • A
    Having smallest magnitude
  • B
    Having largest magnitude
  • C
    Used in the numerator
  • D
    Used in the denominator

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The maximum percentage errors in the measurement of mass $(M)$,radius $(R)$,and angular velocity $(\omega)$ of a ring are $2 \%$,$1 \%$,and $1 \%$ respectively. Find the maximum percentage error in the measurement of its angular momentum $(J = I \omega)$ about its geometrical axis. (in $\%$)

The radius of a sphere is $(5.3 \pm 0.1) \, cm$. The percentage error in its volume is

Consider a physical quantity $Z$ expressed as $Z = \frac{A B^{1/2}}{C^2}$. If the relative error in the magnitudes of $A, B,$ and $C$ is $1\%$,then the relative error in $Z$ will be: (in $\%$)

What is the difference between a mistake and an error in the context of physical measurements?

In an experiment of a simple pendulum,the time period measured was $50 \, s$ for $25$ vibrations when the length of the simple pendulum was taken as $100 \, cm$. If the least count of the stopwatch is $0.1 \, s$ and that of the meter scale is $0.1 \, cm$,then the maximum possible error in the value of $g$ is .......... $\%$

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