Physics Chapter 1: Measurements and Units

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Questions and Answers

What is the primary characteristic of a base quantity?

  • It is a quantity that changes with respect to time.
  • It is only used in advanced physics calculations.
  • It can be derived from other physical quantities.
  • It cannot be derived from any other physical quantity. (correct)

Which of the following is an example of a derived quantity?

  • Time
  • Length
  • Mass
  • Velocity (correct)

What is the SI unit for measuring the amount of substance?

  • Mole (correct)
  • Kelvin
  • Ampere
  • Kilogram

What is the correct formula for calculating the area of a rectangle, and what type of quantity does area represent?

<p>length × width, derived quantity (D)</p> Signup and view all the answers

When converting units, which conversion converts 50 mm to Gigameters (Gm)?

<p>$5.0 \times 10^{-11}$ Gm (D)</p> Signup and view all the answers

What does accuracy primarily indicate in the context of measurements?

<p>The closeness of a measurement to the true value. (C)</p> Signup and view all the answers

If a student consistently measures the length of an object to be 25.5 cm, 25.6 cm, and 25.5 cm, while the actual length is 27.0 cm, how would you describe these measurements?

<p>Precise but not accurate (A)</p> Signup and view all the answers

Which type of error is primarily reduced by repeating measurements and calculating the average?

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

What is a defining characteristic of systematic errors in measurement?

<p>They consistently skew measurements in one direction. (B)</p> Signup and view all the answers

In the number 0.004020, how many significant figures are present?

<p>4 (A)</p> Signup and view all the answers

How many significant figures are in the measurement 40,501 kg?

<p>5 (A)</p> Signup and view all the answers

If a number does not contain decimal points, which zeros are considered significant?

<p>Trailing zeros may or may not be significant (B)</p> Signup and view all the answers

When adding or subtracting measurements, what determines the number of decimal places in the final answer?

<p>The smallest number of decimal places in any term. (A)</p> Signup and view all the answers

When multiplying or dividing measurements, what determines the number of significant figures in the final answer?

<p>The smallest number of significant figures in any term. (C)</p> Signup and view all the answers

Convert 7200 mm to kilometers (km)?

<p>$7.2 \times 10^{-3}$ km (C)</p> Signup and view all the answers

Convert 3 nanometers (nm) to micrometers (µm)?

<p>$3 \times 10^{-3}$ µm (D)</p> Signup and view all the answers

Convert 1200 micrometers (µm) to kilometers (km)?

<p>$1.2 \times 10^{-6}$ km (B)</p> Signup and view all the answers

What is the primary purpose of unit conversion in physics?

<p>To change a measurement from one unit to another. (D)</p> Signup and view all the answers

Which of the following prefixes represents a multiple of $10^{-6}$?

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

If a student measures a length as 2.5 cm using a ruler, what is the most crucial next step to ensure the measurement is properly communicated in a scientific context?

<p>Clearly state the unit of measurement. (B)</p> Signup and view all the answers

Which of the following is the correct representation of $4 \times 10^2$ with 2 significant figures?

<p>$4.0 \times 10^2$ (D)</p> Signup and view all the answers

During an experiment, a researcher uses a faulty ammeter that consistently reads 0.15 A higher than the actual current. What type of error is most likely affecting the measurements?

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

A student measures the current flowing through a circuit three times and obtains the following readings: 2.13 A, 2.14 A, and 2.12 A. If the actual current is 2.25 A, how are the measurements best described?

<p>Precise but not accurate (D)</p> Signup and view all the answers

In an experiment to measure the acceleration due to gravity, a group of students uses a photogate timer that records time intervals with high precision. However, they forget to account for air resistance, which slightly reduces the measured acceleration. What type of error impacts the result?

<p>Method error (D)</p> Signup and view all the answers

A student needs to measure the diameter of a tennis ball using a ruler. To minimize parallax error, what should the student do?

<p>Ensure their eye is directly above the measurement mark. (A)</p> Signup and view all the answers

A researcher is measuring the length of a table and records it as 1.50 meters. Later, another person measures the same table using a different measuring tape and records it as 1.5 meters. Which measurement shows greater precision?

<p>1.50 meters (C)</p> Signup and view all the answers

How should the result of the subtraction 15.67 m – 2.1 m be reported, considering significant figures?

<p>13.6 m (C)</p> Signup and view all the answers

A rectangular garden has a length of 12.5 meters and a width of 8.3 meters. What is the area of the garden, reported with the correct number of significant figures?

<p>104 $m^2$ (A)</p> Signup and view all the answers

What distinguishes a 'physical quantity' from other types of quantities?

<p>It can be measured using a measuring instrument. (B)</p> Signup and view all the answers

Which of the following is NOT a base quantity in the SI system?

<p>Force (C)</p> Signup and view all the answers

Determine how many significant figures are present in the measurement 2.30 × 10^–4 km.

<p>3 (B)</p> Signup and view all the answers

What are the implications of a measurement having high precision but low accuracy?

<p>The measurement is far from the true value but highly repeatable. (D)</p> Signup and view all the answers

Under what circumstances are zeros located between non-zero digits considered significant?

<p>They are always significant. (C)</p> Signup and view all the answers

Flashcards

SI system (Standard Units)

A consistent system of units used globally for measurement, also known as the metric system.

Physical Quantity

A quantity that can be measured using a measuring instrument.

Base Quantity

A fundamental quantity that cannot be derived from other physical quantities.

Derived Quantity

A quantity derived from a combination of base quantities.

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Accuracy

How close a measurement is to the true or accepted value.

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Precision

How close a series of measurements are to one another; the degree of exactness in a measurement.

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Human Error

Mistakes made in reading an instrument or recording the results.

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Method Error

Errors that occur when measurements are taken using different methods.

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Parallax Error

An overestimate due to the improper viewing of a measuring device.

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Instrumental Error

Improperly displayed measurements due to poorly calibrated devices.

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Systematic Error

Is caused by the equipment used.

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Random Error

Caused by the environmental factors.

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Significant Figures

Digits that carry meaning contributing to its precision.

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Unit Conversion

Changing a measurement from one unit to another.

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Significant figures rule

Any digit that is not zero is significant.

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Significant figures rule

Zeros between nonzero digits are significant.

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Significant figures rule

Zeros to the left of the first nonzero digit are NOT significant.

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Significant figures rule

If the number is ≥ 1, then all the zeros written to the right of the decimal point is significant.

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Adding/Subtracting Sig Figs

For addition / subtraction: The number of decimal places in the final answer = smallest number of decimal places of any term in the sum.

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Multiplying/Dividing Sig Figs

The number of significant figures in the final answer = number of significant figures in the quantity having the smallest number of significant figures.

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Study Notes

  • Chapter 1 is about the Measurement of Physics.
  • Syllabus includes measurements of physics, kinematics and dynamics, work energy and power, fluid mechanics, concept of heat and temperature, electricity and magnetism, geometrical optics and physical optics, nucleus and photoelectric effect, sound, and medical physics.
  • Final Exam is worth 50% and is made up of Part A with 20 MCQs and Part B with 6 structured questions.
  • Continuous Assessment is worth 50% and is made up of lab practical for 10%, quiz 1 for 5%, quiz 2 for 5%, CA 1 (week 6) for 10% including Part A with 10 MCQs and Part B with 4 structured questions, CA 2 (week 12) for 10% including Part A with 10 MCQs and Part B with 4 structured questions, and poster presentations for 10%.

Chapter Outline

  • Standard Units
  • Physical Quantities
  • Accuracy and Precision
  • Unit Conversion
  • Significant figures

Standard Units

  • The SI system is also called the metric system, and is used around the world
  • Length SI unit is the meter (m)
  • Mass SI unit is the kilogram (kg)
  • Time SI unit is the second (s)
  • Temperature SI unit is the kelvin (K)
  • Electric current SI unit is the ampere (A)
  • Amount of substance SI unit is the mole (mol)

Physical Quantities and SI Units

  • Physical quantity is defined as a quantity that can be measured using a measuring instrument
  • Unit is defined as a standard size of measurement of a physical quantity
  • Physical quantity can be categorized into two types: base quantity and derived quantity

Base Quantity

  • Base quantity is defined as a quantity that cannot be derived from any other physical quantity.
  • Length SI unit is the meter (m)
  • Mass SI unit is the kilogram (kg)
  • Time SI unit is the second (s)
  • Temperature SI unit is the kelvin (K)
  • Electric current SI unit is the ampere (A)
  • Amount of substance SI unit is the mole (mol)

Derived Quantity

  • Derived quantity is defined as a quantity that is obtained from the combination of base quantities.
  • Velocity = s/t, measured in m s⁻¹
  • Frequency = 1/T, measured in s⁻¹ or Hz (hertz)
  • Acceleration = v/t, measured in m s⁻²
  • Pressure = F/A, measured in N m⁻² or Pa (pascal)
  • Momentum = m x v, measured in kg m s⁻¹
  • Force = m x a, measured in kg m s² or N(newton)
  • Work = F x s, measured in kg m² s⁻² or J(joule)
  • Power = W/t, measured in Js⁻¹ or W (watt)

Accuracy and Precision

  • Accuracy measures how close a measurement is to the true value of the quantity being measured.
  • Precision measures how close a series of measurements are to one another, and how exact a measurement is.

Sources of Error

  • Human error includes mistakes made in reading an instrument or recording the results.
  • Method Error happens when measurements are taken using different methods
  • Parallax error is an overestimate due to the improper viewing of a measuring device.
  • Instrumental error means improperly displayed measurements due to poorly calibrated devices.

Errors

  • Systematic error is caused by the equipment used.
  • Random error is caused by environmental factors.
  • Zero errors are systematic errors.
  • Parallax error is a random error.

Precision and Significant Figures

  • Significant figures describe the precision of a measuring device.

Guidelines for Using Significant Figures

  • Any digit that is not zero is significant, e.g., 845 cm has 3 SFs.
  • Zeros between nonzero digits are significant, e.g., 40 501 kg contains 5 SFs.
  • Zeros to the left of the first nonzero digit are not significant, e.g., 0.008 L contains 1 SF.
  • If the number is ≥ 1, then all the zeros written to the right of the decimal point are significant, e.g., 2.00 mg has 3 SFs.

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