Measurement and Physical Quantities Quiz

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Questions and Answers

What is the resultant force R when combining forces F1 = 4N and F2 = 5N at right angles?

  • 10.5 N
  • 8.2 N
  • 9 N
  • 6.4 N (correct)

When measuring the diagonal of the parallelogram drawn for two vectors, what does the diagonal represent?

  • The magnitude and direction of the resultant vector (correct)
  • The largest of the two vectors
  • The angle between the vectors
  • The sum of the two vectors

What procedure should be followed after drawing a parallelogram to find the resultant force?

  • Multiply the lengths of the sides
  • Divide the lengths of the sides
  • Add the angles of the vectors
  • Measure the length of the diagonal (correct)

What trigonometric method can be used to resolve a force vector into its components?

<p>Soh Cah Toa (D)</p> Signup and view all the answers

What is the vertical component of a 20N force exerted at an angle of 30° with the horizontal?

<p>17.32 N (D)</p> Signup and view all the answers

In SI units, what is the base unit for mass?

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

Which of the following is a common prefix used in SI units?

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

What is the primary advantage of using SI units over the British engineering system?

<p>Universally adopted and standardized (B)</p> Signup and view all the answers

What is the primary factor that affects the period of a pendulum?

<p>Length of the pendulum (B)</p> Signup and view all the answers

Which of the following statements is NOT true regarding the period of a simple pendulum?

<p>The mass of the pendulum bob significantly affects the period. (C)</p> Signup and view all the answers

During the experiment, how many complete oscillations is the timing conducted for?

<p>20 complete oscillations (B)</p> Signup and view all the answers

What is the fixed variable in the pendulum experiment?

<p>Mass of the pendulum bob (C)</p> Signup and view all the answers

Why is it important to release the pendulum from an angle less than 10 degrees?

<p>To minimize its effect on the period of oscillation (A)</p> Signup and view all the answers

What is the relationship between the length of the pendulum and the period of oscillation?

<p>They are directly proportional (C)</p> Signup and view all the answers

In the context of the pendulum experiment, what does the manipulated variable represent?

<p>The length of the pendulum thread (D)</p> Signup and view all the answers

Which material is NOT mentioned as part of the apparatus for the pendulum experiment?

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

How many significant figures are in the number 0.004500?

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

Which of the following statements about zeros is accurate?

<p>In a decimal, zeros after non-zero digits are significant. (C)</p> Signup and view all the answers

When rounding the number 1296 to two significant figures, what is the result?

<p>1300 (B)</p> Signup and view all the answers

What is the precision of a tape measure according to the provided content?

<p>0.01 cm (B)</p> Signup and view all the answers

Which instrument would be most suitable for measuring the diameter of a hair?

<p>Micrometer screw gauge (D)</p> Signup and view all the answers

In order to avoid parallax error while taking a measurement, one should:

<p>Position your eye directly above the marking. (B)</p> Signup and view all the answers

If an integer includes trailing zeros, such as 1300, how many significant figures does it contain?

<p>2 or 3 (B)</p> Signup and view all the answers

The main components of a vernier caliper are:

<p>Main scale and sliding vernier scale (A)</p> Signup and view all the answers

What is the factor represented by the prefix 'kilo'?

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

How would you convert 4567.8 cm to kilometers?

<p>0.045678 km (C)</p> Signup and view all the answers

What is the standard form of 12300000 m?

<p>1.23 x $10^{7}$ m (D)</p> Signup and view all the answers

What is the result of converting 123.4 km/h to m/s?

<p>34.3 m/s (B)</p> Signup and view all the answers

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

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

To convert 345.6 g/cm³ to kg/m³, what is the final result?

<p>345600 kg/m³ (B)</p> Signup and view all the answers

Which statement about the standard form is correct?

<p>A must be equal to or greater than 1 and less than 10. (D)</p> Signup and view all the answers

What equation shows the conversion of 4567.8 km to meters?

<p>4567.8 km = 4567.8 x $10^{3}$ m (B)</p> Signup and view all the answers

What is the relationship between the length of a simple pendulum and the square of the period of oscillation?

<p>Length is directly proportional to T2 (A)</p> Signup and view all the answers

Which factors affect the period of a pendulum?

<p>Length of pendulum and acceleration due to gravity (A)</p> Signup and view all the answers

How does the period of a pendulum change with varying length?

<p>As length increases, period increases (D)</p> Signup and view all the answers

What is the effect of gravitational field strength on the period of a pendulum?

<p>Weaker gravity increases the period (C)</p> Signup and view all the answers

What measurement is NOT needed when using a ticker tape timer?

<p>Mass of the moving object (B)</p> Signup and view all the answers

What must be counted to measure time taken using a ticker tape timer?

<p>The number of spaces between the dots (D)</p> Signup and view all the answers

What will happen to the time taken for 20 oscillations on the Moon compared to Earth?

<p>It will be longer on the Moon (D)</p> Signup and view all the answers

What is the effect of the mass of the pendulum bob on its period?

<p>The period is independent of the mass (C)</p> Signup and view all the answers

What is the correct label for the x-axis when plotting Length vs Period squared?

<p>Length of String (l) in m (D)</p> Signup and view all the answers

Which method is NOT recommended to improve the accuracy of the pendulum experiment?

<p>Use a large amplitude for the oscillation (A)</p> Signup and view all the answers

When drawing the line of best fit on a graph, it should be balanced between points plotted above and below. What does this mean?

<p>The line should be straight and evenly distribute distance from all points. (A)</p> Signup and view all the answers

In the experiment, which factor could increase air resistance affecting the results?

<p>Operating a fan nearby (C)</p> Signup and view all the answers

What scale should be avoided when plotting a graph?

<p>1:3 and 1:9 (B)</p> Signup and view all the answers

Which of these is a correct way to plot points on a graph?

<p>Plot points using a cross (+). (C)</p> Signup and view all the answers

What is the purpose of ensuring firm support in a pendulum experiment?

<p>To prevent vibrations that could affect measurements. (D)</p> Signup and view all the answers

What is the period squared (T²) when the length of the string is 0.80 m?

<p>3.20 s² (B)</p> Signup and view all the answers

Flashcards

Period of a Pendulum (T)

The time it takes for one complete back-and-forth swing of a pendulum.

Length of a Pendulum (l)

The length of the string or rod that suspends the bob of a pendulum.

Gravitational Field Strength (g)

The strength of the gravitational force acting on the pendulum bob.

Mass of Pendulum Bob

The mass of the object at the end of the pendulum.

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Angle of Release

The angle at which the pendulum is released from its resting position.

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Simple Pendulum Experiment

An experiment that investigates the relationship between the length of a pendulum and its period of oscillation.

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Manipulated Variable

The variable that is changed or manipulated in an experiment.

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Responding Variable

The variable that is measured or observed in an experiment.

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International System of Units (SI)

A system of units that is used to measure physical quantities. The International System of Units (SI) is a standard measurement system, used worldwide. It includes the meter (m) for length, kilogram (kg) for mass, and second (s) for time.

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SI Prefixes

A set of prefixes that are used to represent very large or very small quantities. They are used to simplify measurements and make them easier to read.

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Unit Conversion

A process of changing a measurement from one unit to another. Examples include converting meters to kilometers, grams to kilograms, or seconds to minutes.

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Standard Form (Scientific Notation)

A method of representing very large or very small numbers in a concise form. It involves expressing the number as a product of a number between 1 and 10 and a power of 10.

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Simple Unit Conversion

For simple unit conversion, multiply or divide by the appropriate power of ten from the prefix table. For example, 4567.8 km = 4567.8 x 10^3 m = 4567800 m.

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Derived Unit Conversion

For derived unit conversion, break down the unit into its components and convert each component separately. For example, 123.4 km/h = (123.4 x 10^3 m) / (3600 s) = 34.3 m/s.

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Physical Quantity

The quantity that is being measured. For example, length, mass, time, temperature, etc.

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Standard

A standard of measurement against which other quantities are compared. For example, a meter stick is a standard for length, a kilogram weight is a standard for mass.

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Ticker Tape Timer

A device used to measure very small time intervals. It works by a vibrating arm making dots on a paper tape as the tape is pulled by an object, such as a trolley.

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Space (on ticker tape)

The distance between two consecutive dots on a ticker tape. This represents the time interval between the two vibrations of the ticker timer.

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Equal Spaces on a ticker tape

The speed of the object is constant.

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Increasing Spaces on a ticker tape

The object is accelerating, meaning it is increasing its speed.

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Decreasing Spaces on a ticker tape

The object is decelerating, meaning it is decreasing its speed.

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Period of a Pendulum

The time it takes for a pendulum to complete one full swing, from one side to the other and back again.

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Relationship between Period and Length of a Pendulum

The length of the pendulum affects its period. Longer pendulums swing slower, so they have a longer period.

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Relationship between Period and Gravity

The gravitational field strength affects the period of a pendulum. A stronger gravitational field means a faster swing, and therefore a shorter period.

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Resultant Vector

A vector that represents the combined effect of two or more vectors acting on the same point.

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Parallelogram Method

A method of finding the resultant vector by constructing a parallelogram with the original vectors as its sides. The diagonal of the parallelogram represents the resultant vector.

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Resolution of Vectors

Breaking down a single vector into two or more component vectors that act in different directions.

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Components of a Vector

The component vectors form a right triangle. You can use trigonometry (SOH CAH TOA) to calculate the magnitude of each component.

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SI Units

The standard system of units used internationally, based on meters, kilograms, and seconds.

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Common Prefixes

Prefixes attached to SI units to indicate multiples or fractions of the base unit (like 'kilo' for 1000 or 'milli' for 1/1000).

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Order of Magnitude

A way to express the size of a quantity relative to a base unit, often using powers of ten.

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Length of the string, l

The length of the string is the distance from the point of suspension to the center of mass of the bob.

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Time taken for 20 oscillations, t

The time taken for 20 oscillations is the total time taken for the pendulum to complete 20 full swings back and forth.

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Period of oscillation, T

The period of oscillation is the time taken for one complete cycle of the pendulum's swing.

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Period squared, T2

The period squared, T2, is the period of oscillation multiplied by itself. It is a measure of how long it takes for the pendulum to complete one cycle, squared.

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Line of best fit

The line of best fit is a straight line drawn on a graph that represents the general trend of the data points. It's a visual representation of the relationship between the manipulated and responding variables.

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How to improve the accuracy of the experiment

Improving the accuracy of an experiment involves minimizing errors and ensuring that measurements are as precise as possible. For a simple pendulum experiment, key factors include a small angle of displacement, small amplitude of oscillation, vertical oscillation, and minimal air resistance.

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Significant Figures (s.f.)

All the digits that are considered reliable and contribute to the precision of a measurement, excluding zeros that are only placeholders.

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Rule 1: Non-zero digits

In a number, all non-zero digits (1-9) are always considered significant. Example: 456 has 3 significant figures.

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Rule 2: Zeros between non-zero digits

Zeros placed between non-zero digits are significant. Example: 1.345 has 4 significant figures. The '0' between '3' and '4' matters.

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Rule 3: Leading zeros

Zeros before the first non-zero digit are not significant. Example: 0034 has 2 significant figures. The leading zeros are just placeholders.

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Rule 4: Trailing zeros in decimals

In a decimal number, zeros after the last non-zero digit are significant. Example: 1.30 has 3 significant figures. The trailing zero adds to the precision.

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Rule 5: Trailing zeros in integers

Trailing zeros in whole numbers can be significant or not. Example: 1300 could have 2, 3, or 4 significant figures. To be sure, use scientific notation.

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Precision

The smallest unit of measurement an instrument can reliably measure. It reflects the instrument's precision.

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Zero Error

A systematic error in measurement that occurs due to the incorrect calibration or alignment of an instrument, resulting in consistent deviations from the true value.

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Study Notes

Measurement and Physical Quantities

  • Physical quantities have magnitude and unit.
  • Base quantities are fundamental quantities like length, mass, time, etc.
  • Derived quantities are combinations of base quantities.
  • SI units (International System of Units) are used for measurement.
  • Common prefixes are used to express very large or very small quantities.
  • Various instruments are used for measuring different physical quantities like length, time, etc.
  • Parallax error occurs when the observer's eye is not directly above the measurement marking.
  • Zero error in instruments needs to be accounted for in measurements.
  • Trigonometric functions (SohCahToa) can be used to find components of vectors.
  • Vectors have both magnitude and direction, while scalars only have magnitude.
  • Vectors can be added using different methods.
  • Density is mass per unit volume
  • Density is calculated using the mass and volume of an object.
  • Objects float or sink depending on their density relative to the surrounding liquid's density.
  • Various instruments are used to measure different types of physical quantities.
  • Key instruments for measuring length, like Vernier calipers, meter rules, micrometer screw gauges, tape measure, etc.
  • Key instruments for measuring time, like stopwatches, pendulums, and ticker-tape timers.
  • Calculation methods for using different instruments
  • Calculations on density, and use of formulas

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