Introduction to Units and Measurement
19 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

In the International System of Units (SI), how many base units are there?

  • Ten
  • Nine
  • Seven (correct)
  • Five
  • Which of the following is NOT one of the SI base units?

  • Newton (correct)
  • Meter
  • Kilogram
  • Second
  • The Système Internationale d'Unités (SI) is an internationally accepted system of units for measurement that utilizes a decimal system.

    True (A)

    Which of the following units is NOT part of the SI system?

    <p>Centimeter (A)</p> Signup and view all the answers

    What is the SI unit for plane angle?

    <p>radian</p> Signup and view all the answers

    What is the symbol for the base unit of luminous intensity?

    <p>cd</p> Signup and view all the answers

    The ______ is a unit of length that is equal to 10-10 m.

    <p>angstrom</p> Signup and view all the answers

    The speed of light in vacuum is defined as a fixed numerical value in the SI unit system.

    <p>True (A)</p> Signup and view all the answers

    What are the dimensions of force in terms of the fundamental quantities (M, L, T)?

    <p>[MLT-2]</p> Signup and view all the answers

    The ______ is the SI unit of electric current.

    <p>ampere</p> Signup and view all the answers

    What is the importance of 'dimensional homogeneity' in equations involving physical quantities?

    <p>Dimensional homogeneity ensures consistency and correctness in an equation.</p> Signup and view all the answers

    What type of physical quantities are dimensionless?

    <p>Pure numbers, ratios of similar quantities, and angles.</p> Signup and view all the answers

    Dimensional analysis can determine the exact value of a proportionality constant in an equation?

    <p>False (B)</p> Signup and view all the answers

    Give an example of a physical quantity that is measured in units of 'radian/second' and describe its significance.

    <p>Angular velocity (ω) is measured in radians per second.</p> Signup and view all the answers

    What is the standard for comparing the size of objects called?

    <p>Unit of measurement (A)</p> Signup and view all the answers

    When reporting a measurement, what does 'significant figures' indicate?

    <p>Both A and B (A)</p> Signup and view all the answers

    When performing multiplication or division with measurements, the final result should have the same number of decimal places as the measurement with the fewest decimal places.

    <p>False (B)</p> Signup and view all the answers

    The process of rounding off a number to a certain number of significant figures can introduce errors or uncertainties into a calculation.

    <p>True (A)</p> Signup and view all the answers

    Which of the following is NOT a guideline for determining the uncertainty or error in a measured value?

    <p>Always round up the final answer to the next significant figure (B)</p> Signup and view all the answers

    Flashcards

    Unit

    The internationally accepted standard used for measuring a physical quantity. It is a reference point for comparison.

    Measurement

    The measurement of a physical quantity is expressed as a numerical value accompanied by a unit.

    Fundamental or Base Units

    Units used for the fundamental quantities are called fundamental or base units. Examples include metre (m), kilogram (kg), second (s), etc.

    Derived Units

    Units derived from base units are called derived units. These units are expressed as combinations of base units. Examples include Newton (N), Joule (J), Watt (W), etc.

    Signup and view all the flashcards

    System of Units

    A complete set of base units and derived units used for measurement forms a system of units.

    Signup and view all the flashcards

    CGS system

    A system of units based on centimetre, gram, and second as base units.

    Signup and view all the flashcards

    FPS system

    A system of units based on foot, pound, and second as base units.

    Signup and view all the flashcards

    MKS system

    A system of units based on metre, kilogram, and second as base units.

    Signup and view all the flashcards

    Système Internationale d’Unites (SI)

    The internationally accepted system of units based on seven base units and derived units.

    Signup and view all the flashcards

    SI Base Units

    The basic units in the SI system, which form the base for all other units.

    Signup and view all the flashcards

    Metre (m)

    A unit of length in the SI system, defined as the distance travelled by light in vacuum in a specific time interval.

    Signup and view all the flashcards

    Kilogram (kg)

    A unit of mass in the SI system, defined using the Planck constant.

    Signup and view all the flashcards

    Second (s)

    A unit of time in the SI system, defined using the frequency of a specific atomic transition.

    Signup and view all the flashcards

    Ampere (A)

    A unit of electric current in the SI system, defined using the elementary charge.

    Signup and view all the flashcards

    Kelvin (K)

    A unit of thermodynamic temperature in the SI system, defined using the Boltzmann constant.

    Signup and view all the flashcards

    Mole (mol)

    A unit of amount of substance in the SI system, defined using the Avogadro constant.

    Signup and view all the flashcards

    Candela (cd)

    A unit of luminous intensity in the SI system, defined using the luminous efficacy.

    Signup and view all the flashcards

    Plane Angle (dθ)

    The ratio of length of arc to the radius of the circle, measured in radians.

    Signup and view all the flashcards

    Solid Angle (dΩ)

    The ratio of the intercepted area of the spherical surface to the square of its radius, measured in steradians.

    Signup and view all the flashcards

    Dimensionless Quantity

    A dimensionless quantity representing the ratio of two similar quantities.

    Signup and view all the flashcards

    Significant Figures

    Digits that indicate the precision of a measurement, including the reliable digits and the first uncertain digit.

    Signup and view all the flashcards

    Least Count

    The smallest unit of measurement that the measuring instrument can detect.

    Signup and view all the flashcards

    Rounding Off

    A process of expressing a number with fewer digits, without significantly changing its value.

    Signup and view all the flashcards

    Rules of Significant Figures

    Rules for determining the number of significant figures in a calculation involving numerical values.

    Signup and view all the flashcards

    Dimensional Formulae

    Mathematical representations of the physical quantities using fundamental units.

    Signup and view all the flashcards

    Dimensional Equations

    Equations that express the relationship between physical quantities using their dimensional formulae.

    Signup and view all the flashcards

    Dimensional Analysis

    A technique used to check the consistency of physical equations and to derive new relationships.

    Signup and view all the flashcards

    Applications of Dimensional Analysis

    Applications of dimensional analysis for obtaining useful information about physical quantities.

    Signup and view all the flashcards

    Units Retained for General Use

    Retained for general use but not part of the SI system.

    Signup and view all the flashcards

    SI Prefixes

    Common prefixes used to represent multiples and submultiples of SI units.

    Signup and view all the flashcards

    Kilo (k)

    The SI prefix kilo (k) represents a multiple of 10³.

    Signup and view all the flashcards

    Milli (m)

    The SI prefix milli (m) represents a submultiple of 10⁻³.

    Signup and view all the flashcards

    Study Notes

    Introduction to Units and Measurement

    • Measurement involves comparing a physical quantity with a standard unit.
    • The result is a numerical value accompanied by a unit.
    • A system of units is a complete set of both base and derived units.

    International System of Units (SI)

    • The internationally accepted system of units.
    • Base units for length, mass, and time in different systems:
      • CGS: centimeter, gram, second
      • FPS: foot, pound, second
      • MKS: meter, kilogram, second
    • SI base units:
      • Length (meter, m)
      • Mass (kilogram, kg)
      • Time (second, s)
      • Electric current (ampere, A)
      • Thermodynamic temperature (kelvin, K)
      • Amount of substance (mole, mol)
      • Luminous intensity (candela, cd)

    Significant Figures

    • Significant figures represent reliable digits in a measurement plus the first uncertain digit
    • All non-zero digits are significant
    • Zeros between non-zero digits are significant, regardless of decimal location.
    • Zeros to the right of a decimal point and to the right of a non-zero digit are significant.
    • Zeros to the left of the first non-zero digit in a number less than 1 are not significant.
    • Terminal zeros in a whole number without a decimal are not significant.
    • Terminal zeros in a decimal are significant.

    Dimensional Formulae and Equations

    • Dimensional formula: Expression showing base units and exponents for a quantity.
    • Dimensional equation: Equation showing equality of dimensions on both sides
    • Dimensions are independent of numerical values

    Dimensional Analysis

    • Checking the consistency of equations
    • Only quantities with the same dimensions can be added or subtracted.
    • Dimensions on both sides of an equation must be the same.
    • Dimensional analysis can check the correctness of equations and derive relationships.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Related Documents

    Units And Measurement PDF

    Description

    This quiz covers the fundamentals of units and measurement, including the International System of Units (SI) and the concept of significant figures. Test your knowledge on base and derived units, as well as the importance of precise measurements in scientific contexts.

    More Like This

    Use Quizgecko on...
    Browser
    Browser