Units and Measurements
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Questions and Answers

Match the following prefixes with their corresponding magnitudes:

kilo = $10^3$ micro = $10^{-6}$ giga = $10^9$ milli = $10^{-3}$

Match the base quantity with its corresponding SI unit:

Mass = kg Time = s Electric Current = A Temperature = $^oK$

Match the derived quantity with its corresponding SI unit:

Volume = $m^3$ Speed = m/s Force = N Work = J

Match the prefix symbol with its prefix name:

<p>T = Tera n = Nano $$\mu = Micro p = Pico</p> Signup and view all the answers

Match the following derived units with their equivalent expressions in base SI units:

<p>Newton (N) = kg⋅m/s² Joule (J) = kg⋅m²/s² Watt (W) = kg⋅m²/s³ Pascal (Pa) = kg/(m⋅s²)</p> Signup and view all the answers

Match each type of electromagnetic radiation with its approximate wavelength:

<p>Gamma Ray = $10^{-12}$ m UV Ray = $10^{-8}$ m Infra-red = $10^{-5}$ m Radiowave = $10^{3}$ m</p> Signup and view all the answers

Match the quantity with its corresponding commonly used symbol:

<p>Potential difference/voltage = V Current = I Resistance = R Half-life = $t \frac{1}{2}$</p> Signup and view all the answers

Match each quantity with its SI unit:

<p>Energy = J Frequency = Hz Pressure = Pa Power = W</p> Signup and view all the answers

Match the following quantities to whether they are scalar or vector:

<p>Speed = Scalar Velocity = Vector Force = Vector Mass = Scalar</p> Signup and view all the answers

Match the instrument to what it measures:

<p>Metre Rule = Length up to one metre Measuring Tape = Lengths up to several meters Digital Calipers = Precise length, thickness, and diameter Digital Micrometer Screw Gauge = Very small lengths, high precision</p> Signup and view all the answers

Match these quantities to their correct units:

<p>Wavelength = m Acceleration = m/s² Force = N Density = g/cm³</p> Signup and view all the answers

Match these angles to their symbols:

<p>Angle of incidence = i Angle of reflection = r Angle of refraction = r Focal Length = f</p> Signup and view all the answers

Match These Quantities with their Formula Symbols

<p>Time = t Period = T proton number = Z nucleon number = A</p> Signup and view all the answers

Match these examples with there type of quantity

<p>Distance = Scalar Work done = Scalar Displacement = Vector Moment of force = Vector</p> Signup and view all the answers

Match these formulas with their corresponding units

<p>Area = $m^2$ Volume = $m^3$ Speed = m/s Activity of a radioactive source = A</p> Signup and view all the answers

Why is it recommended to avoid using the zero mark on a metre rule for taking measurements?

<p>The zero mark might be worn out due to wear and tear, leading to inaccurate readings.</p> Signup and view all the answers

Explain how taking multiple measurements and calculating the average helps in minimizing random errors.

<p>Random errors cluster around the true value. Averaging the measurements cancels out the positive and negative deviations leading to a result closer to the true value.</p> Signup and view all the answers

What is the significance of calibrating equipment in the context of measurement, and what type of error does it primarily address?

<p>Calibration ensures the equipment provides accurate readings by correcting systematic errors to align with known standards.</p> Signup and view all the answers

Describe a situation where using digital calipers would be more appropriate than using a standard ruler. Explain your reasoning.

<p>When measuring the diameter of a pipe. Digital calipers provide more accurate measurements than a standard ruler due to their design and digital display.</p> Signup and view all the answers

What is the function of the locking screw on digital calipers, and why is it important in certain measurement scenarios?

<p>The locking screw secures the jaws of the calipers at a specific position. It is important when you need to transfer a measurement or ensure the calipers do not move before reading the measurement.</p> Signup and view all the answers

Explain the purpose of the ratchet on a micrometer screw gauge and why it is important for accurate measurements?

<p>The ratchet applies consistent pressure between the spindle and anvil. It prevents over-tightening, which could deform the object or the micrometer, ensuring accurate measurements.</p> Signup and view all the answers

A student consistently measures the length of a metal rod to be 25.1 cm using a particular ruler, even though the actual length is 25.3 cm. What type of error is most likely occurring, and how could the student address it?

<p>This is likely a systematic error. The student should calibrate the ruler against a known standard or use a different, calibrated measuring tool.</p> Signup and view all the answers

A scientist is using a digital caliper to measure the internal diameter of a pipe. Describe the steps they should take to ensure an accurate measurement, considering potential sources of error.

<p>First, calibrate the calipers. Next, use the internal jaws to measure the diameter. Then, ensure the jaws are properly aligned inside the pipe. Finally, lock the screw and record the measurement.</p> Signup and view all the answers

The ______ of an instrument refers to the smallest unit it can measure.

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

When using digital calipers, measurements are typically recorded to ______ mm to account for significant sources of error.

<p>0.1</p> Signup and view all the answers

To measure the thickness of a sheet of paper, one could use a ______, because it can measure to $0.001cm$.

<p>micrometer screw gauge</p> Signup and view all the answers

The SI unit for measuring ______ is the second, denoted as (s).

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

A complete ______ of a simple pendulum occurs when it swings from its starting point, moves to the opposite side, and returns to the original starting point.

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

The period of a simple pendulum, or the time taken for one complete oscillation, depends on gravitational field strength and the ______ of the pendulum.

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

The period of oscillation for a simple pendulum is independent of the ______ of the pendulum bob.

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

The period of a complete oscillation depends on the gravitational field strength and ______ of the pendulum.

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

Since human reaction time, ranging from 0.3 s to 0.5 s, introduces a random error, stopwatch readings are typically recorded to one ______ to account for this variability.

<p>decimal place</p> Signup and view all the answers

All physical quantities consist of a numerical ______ and a unit, allowing for standardized measurement and comparison.

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

Flashcards

Physical Quantity

A measurable aspect of the physical world, consisting of a numerical value and a unit.

Kilogram (kg)

The standard unit of mass in the SI system.

Meter (m)

The standard unit of length in the SI system.

Derived Quantity

A combination of base units to express more complex measurements.

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Micro ($\\mu$)

A prefix that represents $10^{-6}$ or one millionth.

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Scalar Quantity

Physical quantities with magnitude only.

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Vector Quantity

Physical quantities with both magnitude and direction.

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Distance

The distance covered by an object.

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Velocity

The rate at which an object changes its position.

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Force

A push or pull that can cause a change in motion

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Acceleration

The rate of change of velocity.

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Meter Rule

Instrument to measure up to one meter lengths

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Measuring Tape

Instrument to measure lengths up to several meters, straight or curved.

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Displacement

The shortest distance from start to finish with direction.

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Parallax Error: How to Avoid

Positioning your eye directly above the measurement to avoid skewed readings.

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Random Errors

Errors that are unpredictable and vary around a mean value; reduce by averaging multiple readings.

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Systematic Errors

Errors that are constant and predictable; correct by calibrating equipment.

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Digital Calipers: Use

To measure internal and external diameters plus depth of objects accurately.

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Outside Jaws (Callipers)

Used to measure the external diameter or width of an object.

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Inside Jaws (Callipers)

Used to measure the internal diameter of an object

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Ratchet (Micrometer)

Used to adjust the spindle of a micrometer so it gently contacts an object.

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Micrometer Screw Gauge

Used for measuring very small objects digital callipers cannot measure.

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Instrument Precision

Smallest unit an instrument can measure.

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Measuring time instruments

Tool used to measure time, accuracy depends on the instrument.

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Complete Oscillation

Motion of a pendulum from the starting point, through its arc, and back to the starting point.

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Period of a Simple Pendulum

Time for one complete back-and-forth swing of a pendulum.

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Period Dependence (Pendulum)

The period is affected by gravity and pendulum length.

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Period Independence (Pendulum)

The period does not change if the mass changes

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Human Reaction Time

Typical delay between stimulus and response.

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Accounting for Reaction Time

Account for reaction time errors when measuring time.

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Study Notes

Simple Pendulum

  • The period of a simple pendulum is the time taken for one complete oscillation.
  • The period of oscillation depends on gravitational field strength and length of the pendulum.
  • The period of a simple pendulum is independent of the mass of the pendulum bob.

Human Reaction Time

  • Most stopwatches measure time to a precision of 0.01 s.
  • Human reaction time is about 0.3 s – 0.5 s, creating a degree of random error.
  • Human reaction time readings are usually recorded to 1 d.p. to account for this error.

Avoiding Errors in Measurement

  • When using a metre rule, eyes should be positioned perpendicularly to the rule to avoid parallax errors.
  • Avoid using the zero mark of the metre rule as a start point for measurements.
  • Wear and tear may make it unsuitable for measuring purposes and introduce errors to the readings if the zero mark is used.

Digital Calipers

  • They measure internal and external diameters of an object accurately.
  • The tail of the calipers measure depth of an object.

Digital Micrometer Screw Gauge

  • Used for measuring objects too small for digital calipers.

Base Quantities and SI Units

  • All physical quantities consist of a numerical magnitude and a unit.
  • Base Quantity Mass’ SI unit is kg.
  • Base Quantity Length’s SI unit is m.
  • Base Quantity Time’s SI unit is s.
  • Base Quantity Current’s SI unit is A.
  • Base Quantity Temperature’s SI unit is K.

Derived Quantities and SI Units

  • Derived Quantity Volume’s SI unit is m^3.
  • Derived Quantity Speed’s SI unit is m/s.
  • Derived Quantity Acceleration’s SI unit is m/s^2.
  • Derived Quantity Force’s SI unit is N or kgm/s^2.
  • Derived Quantity Work’s SI unit is J or kgm^2/s^2.

Prefixes

  • The prefix "tera" has the symbol T and magnitude 10^12.
  • The prefix "giga" has the symbol G and magnitude 10^9.
  • The prefix "mega" has the symbol M and magnitude 10^6.
  • The prefix "kilo" has the symbol k and magnitude 10^3.
  • The prefix "milli" has the symbol m and magnitude 10^-3.
  • The prefix "micro" has the symbol μ and magnitude 10^-6
  • The prefix "nano" has the symbol n and magnitude 10^-9.
  • The prefix "pico" has the symbol p and magnitude of 10^-12.
  • The prefix “deci” has the symbol d and magnitude 10^-1
  • The prefix "centi" has the symbol c and magnitude 10^-2. </existing_notes>

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Description

Overview of physical quantities, base and derived SI units. Includes common prefixes such as kilo, mega, and giga. All physical quantities consist of a numerical magnitude and a unit.

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