Explain least count and least count error. Write a note on least count error.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The smallest value that can be measured by a measuring instrument is called its least count.
- All readings or measured values are accurate only up to this value.
- The error associated with the resolution of the instrument is called the least count error.
- The least count of a vernier caliper is $0.01 \text{ cm}$,and the least count of a spherometer is $0.001 \text{ cm}$.
- Least count error belongs to the category of random errors but is limited in size.
- It can occur alongside both systematic and random errors.
- The least count of a standard meter scale is $1 \text{ mm}$.
- Least count error can be reduced by using instruments of higher precision and by improving experimental techniques.
- By repeating the observation several times and taking the arithmetic mean of all observations,the mean value becomes very close to the true value of the measured quantity.

Explore More

Similar Questions

Out of absolute error,relative error,and fractional error,which has a unit and which has no unit?

Difficult
View Solution

Consider a series of measurements of the length of a box in an experiment. The readings are $2.4 \ m, 2.5 \ m, 2.6 \ m, 2.8 \ m, 3.0 \ m$. What would be the relative error?

$A$ physical quantity $Q$ is found to depend on quantities $a, b, c$ by the relation $Q = \frac{a^4 b^3}{c^2}$. The percentage errors in $a, b,$ and $c$ are $3 \%, 4 \%,$ and $5 \%$ respectively. Then,the percentage error in $Q$ is: (in $\%$)

Following observations were taken with a vernier callipers while measuring the length of a cylinder:
$3.29 \, cm, 3.28 \, cm, 3.29 \, cm, 3.31 \, cm, 3.28 \, cm, 3.27 \, cm, 3.29 \, cm, 3.30 \, cm$
Find the absolute error in the fourth and eighth observations.

The least count of a stopwatch is $\frac{1}{5} \ s$. The time for $20$ oscillations of a pendulum is measured to be $25 \ s$. The percentage error in the measurement of time will be .......... $\%$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo