Write a note on combination of error.
- When experiment involve several measurement, errors in all the measurement combine.
- For example, in measurement of density, error due to mass and volume will combine.
* Error combine in various mathematical operation like addition, subtraction, multiplication and division.
A wire has a mass $0.3 \pm 0.003\,g$, radius $0.5 \pm 0.005\,mm$ and length $6 \pm 0.06\,cm$. The maximum percentage error in the measurement of its density is .......... $\%$
We can reduce random errors by
Write rule for error produced in result due to addition and subtraction of error.
If error in measuring diameter of a circle is $4\%$, the error in circumference of the circle would be
In a simple pendulum experiment for determination of acceleration due to gravity $(g)$, time taken for $20$ oscillations is measured by using a watch of $1\, second$ least count. The mean value of time taken comes out to be $30\,s$. The length of pendulum is measured by using a meter scale of least count $1\, mm$ and the value obtained is $55.0\, cm$. The percentage error in the determination of $g$ is close to ........... $\%$