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1. Physical World
2. Units and Measurements
3. Motion in a Straight Line
4. Motion in a Plane
5. Laws of Motion
6. Work, Power and Energy
7. Systems of Particles and Rotational Motion
8. Gravitation
9. Mechanical Properties of Solids
10. Mechanical Properties of Fluids
11. Thermal Properties of Matter
12. Thermodynamics
13. Kinetic Theory
14. Oscillations
15. Waves
Measurement of Length
Topics:
Objectives
Introduction
Measurement of Length
Measurement of Large Distances
Estimation of Very Small Distances: Size of a Molecule
Range of Lengths
Measurement of Mass
Measurement of Time
Accuracy, Precision of Instruments and Errors in Measurement
Absolute Error, Relative Errors and Percentage Errors
Combination of Errors
Significant Figures
Rules for Arithmetic Operations with Significant Figures
Rounding Off the Uncertain Digits
Rules for Determining the Uncertainty in the Results of Arithmetic Calculations
Dimensions of Physical Quantities
Dimensional Formulae and Dimensional Equations
Dimensional Analysis and Applications
Checking the Dimensional Consistency of Equations
Deducing Relation among the Physical Quantities
Summary
Measurement of Length
We are already familiar with some direct methods for the measurement of length.
For example, a metre scale is used for lengths from 10
^{â€“3}
m to 10
^{2}
m.
A
Vernier Calliper
is used for lengths to an accuracy of 10
^{â€“4}
m.
A
Screw Gauge
can be used to measure lengths as less as 10
^{â€“5}
m.
To measure lengths beyond these ranges, we make use of some special indirect methods.
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