A student measures the time taken for a pendulum to complete 20 oscillations as 40 seconds with a stopwatch accurate to 0.1 seconds. What is the percentage error in the measurement of the time period of one oscillation?

The mass and volume of a body are found to be $5.00\; \pm 0.05\;{\rm{kg\;and\;}}1.00{\rm{\;}} \pm 0.05{\rm{\;}}{{\rm{m}}^3}$ respectively. Then the maximum possible percentage error in its density is

The expression for centripetal force depends upon mass of body, speed of the body and the radius of circular path. Find the expression for centripetal force

A metal wire has mass $(0.3 \pm 0.001) \mathrm{g}$, radius $(0.2 \pm 0.001) \mathrm{mm}$ and length $(6 \pm 0.03) \mathrm{cm}$. What is the maximum percentage error in the calculated density?

If the percentage error in measuring the radius of a sphere is 3%, what is the percentage error in calculating its volume?

A screw gauge has least count of ${\rm{0}}{\rm{.01 mm}}$ and there are ${\rm{50}}$ divisions in its circular scale. The pitch of the screw gauge is :

A scientist measures the resistance of a component multiple times. The readings vary slightly due to small temperature changes in the lab and minor voltage fluctuations in the power supply. What is the dominant source of these variations?

Which type of error is least likely to be affected by unpredictable fluctuations in environmental factors like temperature and voltage?

In a vernier callipers, one main scale division is $x\;cm$ and $n$ division of the vernier scale coincide with $\left( {n - 1} \right)$ divisions of the main scale. The least count (in cm) of the callipers is

A metal cube has mass $(20 \pm 0.2) \mathrm{g}$ and side $(4 \pm 0.02) \mathrm{cm}$. The maximum possible percentage error in the measurement of density will nearly be

A physical quantity $P$ is related to four observables $a$, $b$, $c$, and $d$ as follows: $P = a^3b^2/\sqrt{c}d$. The percentage errors of measurement in $a$, $b$, $c$, and $d$ are 1%, 3%, 4%, and 2%, respectively. What is the percentage error in the quantity $P$?