A student measures the time period of $100$ oscillations of a simple pendulum four times. The data set is $90\;s$ ,$91\;s $, $95\;s$ and $92\;s$. If the minimum division in the measuring clock is $1\;s$, then the reported mean time should be
$92\pm 2\;s$
$92\pm 3\;s$
$92\pm 1.8\;s$
$92\pm 5\;s$
What is accuracy in measurement ? Accuracy depend on which factors ?
What is error in measurement ? What is mistake in measurement ?
The energy of a system as a function of time $t$ is given as $E(t)=A^2 \exp (-\alpha t)$, where $\alpha=0.2 s ^{-1}$. The measurement of $A$ has an error of $1.25 \%$. If the error in the measurement of time is $1.50 \%$, the percentage error in the value of $E(t)$ at $t=5 s$ is
The acceleration due to gravity is measured on the surface of earth by using a simple pendulum. If $\alpha$ and $\beta$ are relative errors in the measurement of length and time period respectively, then percentage error in the measurement of acceleration due to gravity is
The relative error in resistivity of a material where
resistance $= 1.05 \pm 0.01\, \Omega$
diameter $= 0.60 \pm 0.01\, mm$
length $= 75.3 \pm 0.1 \,cm$ is