Measurement Systems in Science
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Questions and Answers

What is the formula to express the area of a rectangle?

Area = length × breadth or Area = length × length

What is the SI unit of area?

m2 or squared metre

What is the formula to express force in terms of mass and acceleration?

Force = mass × acceleration

What is the SI unit of force?

<p>kg m/s2 or kg ms–2</p> Signup and view all the answers

What is the relationship between acceleration and change in velocity?

<p>Acceleration is equal to change in velocity per unit time</p> Signup and view all the answers

How is the derived unit for area obtained?

<p>By substituting the units of the base physical quantities, metre, in the formula for area</p> Signup and view all the answers

What is the meaning of m2 as the SI unit of area?

<p>m2 is pronounced as squared metre</p> Signup and view all the answers

How is the formula for force related to the base physical quantities?

<p>Force is related to mass, length, and time through the formula Force = mass × (length/time) × (1/time)</p> Signup and view all the answers

What are the base physical quantities involved in the formula for force?

<p>Mass, length, and time</p> Signup and view all the answers

What is the significance of Table 1.2 in the context of physical quantities?

<p>It provides the relationship between some commonly encountered physical quantities and their SI units</p> Signup and view all the answers

Study Notes

Objectives of Measurement

  • Define measurement and explain the need for measurement
  • Give examples of body parts used to measure length of an object and state limitations
  • Describe ancient measurement systems, including Indian and others
  • Explain the need for a common system of units
  • Define and differentiate base and derived SI units
  • Derive the SI unit of a physical quantity
  • Explain the need of SI prefixes
  • Use SI prefixes correctly for units and write SI units using the rules

What is Measurement?

  • Measurement is a counting of the number of times a chosen scale is used
  • It involves comparing the object to be measured with a standard unit
  • Lord Kelvin: "When you can measure what you are talking about, and express in numbers, you know what you are talking about"

Why Measure?

  • Measurement is essential in everyday life
  • Accurate measurement is desirable for both buyer and seller
  • Absence of suitable measurement can lead to conflicts
  • Measurement is crucial in space science, medicine, and other fields

Indian Measurement System

  • In ancient India, lengths of shadows were used to know the approximate time of day
  • Long time durations were expressed in terms of lunar cycles
  • In Mohenjodaro era, size of bricks was standardized with length, breadth, and width in the ratio of 4:2:1
  • During Chandragupta Maurya period, there was a well-defined system of weights and measures

Derived Units

  • Derived units are physical quantities that can be derived in terms of base units
  • Examples of derived units: area (m2), volume (m3), force (kg m/s2)
  • To derive a unit, find the relationship between the physical quantity and base physical quantities, then substitute the units of the base physical quantities

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Description

Learn about the importance of measurement, different measurement systems used in ancient times, and the need for a common system of units. Understand base and derived SI units and their applications.

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