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

The length and width of a rectangular room are measured to be $3.95 \pm 0.05 \,m$ and $3.05 \pm 0.05 \,m$,respectively. The area of the floor is .................... $m^2$

The period of oscillation of a simple pendulum is given by $T = 2\pi \sqrt{\frac{l}{g}}$,where $l$ is about $100 \, cm$ and is known to have $1 \, mm$ accuracy. The period is about $2 \, s$. The time of $100$ oscillations is measured by a stopwatch of least count $0.1 \, s$. The percentage error in $g$ is ......... $\%$

Explain the effect of multiplication or division of errors on the final result.

$A$ capacitor of capacitance $(4.0 \pm 0.2) \mu F$ is charged to a potential of $(10.0 \pm 0.1) V$. The charge on the capacitor is

What is the fractional error in $g$ calculated from $T = 2\pi \sqrt {l/g}$? Given fractional errors in $T$ and $l$ are $\pm x$ and $\pm y$ respectively?

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