Tag: measurements and experimentation
Questions Related to measurements and experimentation
While measuring the acceleration due to gravity by a simple pendulum, a student makes a positive error of 1% in the length of the pendulum and a negative error of 3% in the value of time period. His per-centre error in the n=measurement of g by the relation $g={ 4\pi }^{ 2 }\left( I/T^{ 2 } \right) $ will be
If ${ R } _{ 1 }=600\Omega \pm 1%$ and ${ R } _{ 2 }=600\Omega \pm 2%$. Find % error in the calculation of equivalent resistance when these two are connected in parallel.
A particle covers a distance of $ (13.8 \pm 0.2) \mathrm{m} $ in$ (4 \pm 0.3) $ seconds. Its velocity under error limits will be :-
A faulty thermometer has its fixed point marked $5C$ and $95 C$. This thermometer reads the temperature of a body as $59^o$. The correct temperature on Celsius scale is
A resistor of $10 k\Omega$ having tolerance 10% is connected in series with another resistor of $20k\Omega$ having tolerance 20%. The tolerance of the combination will be:
What is the fractional error in g calculated from $T=2\pi \sqrt {l/g}$?
A student performs an experiment for determination of $g\left (=\dfrac {4\pi^2l}{T^2}\right )$. The error in length $l$ is $\Delta l$ and in time $T$ is $\Delta T$ and $n$ is a number of times the reading is taken. The measurement of $g$ is most accurate for :
The error in the measurement of the radius of a sphere is $0.6$%. What is permissible error in its volume?
The heat generated in a circuit is dependent upon the resistance, current and time for which the current is flown. If the error in measuring the above are 1%, 2% and 1% respectively. The maximum error in measuring the heat is :
A physical quantity A is dependent on other four physical quantities p, q, r and s as given by $\displaystyle A= \frac{\sqrt{pq}}{r^{2}s^{3}}.$ The percentage error of measurement in p, q, r and s are 1%, 3%, 0.5% and 0.33% respectively, then the maximum percentage error in A is :