WASSCE Science Exam Preparation

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Questions and Answers

Which of the following quantities is classified incorrectly as a scalar or vector?

  • Electric potential
  • Pressure (correct)
  • Altitude (correct)
  • Electric field

Which of the following units is incorrectly matched with its physical quantity?

  • Potential difference [JC] (correct)
  • Elastic modulus [Nm]
  • Specific latent heat [JkgK-1] (correct)
  • Pressure [kgm's²]

Which of the following quantities represents a derived unit?

  • Kilogram
  • Joule (correct)
  • Metre
  • Ampere

Which of the following is a correctly defined scalar quantity?

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

What is the correct unit for work?

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

Which of the following statements is true regarding impulse and its unit?

<p>Impulse is a vector and measured in kgm/s. (B)</p> Signup and view all the answers

Which of the following represents a correctly matched derived quantity?

<p>Density [kgm³] (D)</p> Signup and view all the answers

Which of the following pairs classifies impulse and electric current correctly?

<p>Impulse [vector], Electric current [vector] (A)</p> Signup and view all the answers

Which statement accurately describes the fundamental quantities in mechanics?

<p>Electric current and temperature are considered fundamental quantities. (A)</p> Signup and view all the answers

Which step is NOT recommended when solving numerical problems in an examination?

<p>Ignoring the correct system of units. (B)</p> Signup and view all the answers

What is the first step recommended when approaching a numerical problem?

<p>Read the question carefully to understand what's required. (D)</p> Signup and view all the answers

Which suggested study procedure aids in exam preparation?

<p>Timing yourself during practice tests to assess speed. (A)</p> Signup and view all the answers

Why is sketching a diagram recommended in problem-solving?

<p>It helps in visualizing the relationships between different quantities. (D)</p> Signup and view all the answers

What should students do if they cannot complete the entire problem set in the suggested time?

<p>Continue to the end and record extra time consumed. (D)</p> Signup and view all the answers

Which of these statements about studying the book is accurate?

<p>Going over solutions can help identify areas of weakness. (D)</p> Signup and view all the answers

What is a potential error when substituting data into equations?

<p>Using the wrong units for measurements. (D)</p> Signup and view all the answers

What is the effective displacement of the boat along the edge PQ given that PX equals 4 km?

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

Which of the following describes the type of motion characterized by uniform velocity?

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

What is the resultant force if two vectors result in R = $eta$2 + 62 = 10 N?

<p>10 N (C)</p> Signup and view all the answers

Which of the following derived dimensions represents acceleration?

<p>Speed per unit time (B)</p> Signup and view all the answers

Which concept describes the change in displacement per unit time?

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

What term is used for the to-and-fro movement around a central position?

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

Which of the following units is not a fundamental unit?

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

What is the unit of momentum?

<p>kg·m/s (A)</p> Signup and view all the answers

In the context of measurement, what describes the margin of error involved with common measuring instruments?

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

What is the dimension of power?

<p>ML²T⁻² (D)</p> Signup and view all the answers

Which quantity represents a change in velocity over time?

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

Which of the following physical quantities are scalar quantities?

<p>Torque and electric potential (D)</p> Signup and view all the answers

If a body is undergoing both translational and rotational motion, what is the most likely real-life example?

<p>Wheels of a moving car (A)</p> Signup and view all the answers

Which instrument is the most suitable for measuring the outside diameter of a narrow pipe?

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

Which reading using vernier callipers indicates the best precision?

<p>4.125 cm (A)</p> Signup and view all the answers

What is the watt equivalent to in terms of units?

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

What are the fundamental quantities from which all others are derived?

<p>Length, time, temperature, electric current (B)</p> Signup and view all the answers

What is the unit of power derived from energy and time?

<p>ML²T⁻³ (C)</p> Signup and view all the answers

Which unit corresponds to momentum?

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

Which of the following statements regarding electric potential and energy is correct?

<p>Both are scalar quantities. (D)</p> Signup and view all the answers

How is the reading on a micrometer screw gauge indicated?

<p>By the sum of the main scale and circular scale readings (B)</p> Signup and view all the answers

If the main scale reading is 4.50 mm and the circular scale reading is the 16th division, what is the total reading on the micrometer screw gauge?

<p>4.66 mm (B)</p> Signup and view all the answers

In measuring thickness with vernier calipers, what is the smallest division that can be measured?

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

Which of the following correctly defines a resolved component of a vector along the x-direction?

<p>$A_x = A cos θ$ (D)</p> Signup and view all the answers

What defines a vector quantity?

<p>It has both magnitude and direction. (A)</p> Signup and view all the answers

What does the diagonal of a parallelogram represent when two vectors are added?

<p>The resultant vector of the two vectors. (D)</p> Signup and view all the answers

Which formula is used to find the resultant of two vectors A and B in a triangle setup?

<p>$c² = a² + b² - 2abcos θ$ (A)</p> Signup and view all the answers

How can a single vector be resolved into components?

<p>By projecting it onto two perpendicular directions. (B)</p> Signup and view all the answers

What is the bearing of point Z from point X in the given context?

<p>S 45° W (B)</p> Signup and view all the answers

What happens to the reading of a spring balance if the acceleration due to gravity changes?

<p>It changes according to the value of gravity. (D)</p> Signup and view all the answers

What relationship is employed to find the angle $θ$ in relation to resolved components?

<p>$θ = tan^{-1} [A_y/A_x]$ (D)</p> Signup and view all the answers

Which of the following statements about vector quantities is true?

<p>The direction of a vector is indicated by an arrow. (C)</p> Signup and view all the answers

Flashcards

Fundamental Quantities

Quantities like length, mass, and time that are fundamental and independent of other quantities.

Other Fundamental Quantities

Quantity like electric current and temperature considered fundamental and independent of other quantities.

Scalar Quantity

A quantity that can be measured and expressed solely by its magnitude.

Vector Quantity

A quantity that has both magnitude and direction.

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SI system of Units

The standard system of units used in science and engineering. Also known as the International System of Units (SI).

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Measurement

It is the process of comparing a given physical quantity with a standard quantity of the same kind.

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Unit of Measurement

The standard quantity of a physical quantity used for comparison.

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Least Count of a Measuring Instrument

The smallest unit of a quantity that can be reliably measured.

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Least Count

The smallest unit of a quantity that can be measured by a measuring instrument.

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Derived Units

Units derived from the combination of fundamental units. Examples include area (m²), volume (m³), and speed (m/s).

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Vector

A physical quantity that has both magnitude and direction. Examples include displacement, velocity, acceleration, and force.

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Resolution of Vectors

The process of representing a single vector by two or more components acting along perpendicular directions.

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Addition of Vectors

The sum of two vectors, resulting in a new vector called the resultant.

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Parallelogram Law of Vectors Addition

A graphical method for adding vectors, where two vectors are represented by adjacent sides of a parallelogram, and the resultant is the diagonal of the parallelogram.

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Negative Vector

The vector that has the same magnitude as another vector but points in the opposite direction.

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Cosine Formula

A formula used in trigonometry to find the length of the third side of a triangle when you know the lengths of the other two sides and the angle between them.

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Pythagorean Theorem

A theorem stating that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

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Magnitude of the Resolved Component

The magnitude of the resolved component of a vector along a specific direction is the product of the vector and the cosine of the angle the vector makes with that direction.

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Precision

The measurement of how close repeated measurements are to each other.

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Fundamental Quantity

A quantity that is independent of other quantities and forms the basis for defining other quantities. Examples are length, mass, and time.

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Derived Quantity

A quantity derived from the combination of fundamental quantities. Examples include speed (length/time), volume (lengthlengthlength), and density (mass/volume).

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Error in Measurement

The difference between the actual value of a measurement and the value obtained by the measuring instrument.

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Resolution of a Measuring Instrument

The ability of a measuring instrument to distinguish between two close values of a quantity.

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Displacement

The change in position of an object along a specific direction. It is a vector quantity, meaning it has both magnitude and direction.

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Velocity

The rate of change of displacement per unit time. It is a vector quantity, meaning it has both magnitude and direction.

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Acceleration

The rate of change of velocity per unit time. It is a vector quantity, meaning it has both magnitude and direction.

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Uniform Motion

Motion at a constant velocity. This means the object is moving at a steady speed in a constant direction.

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Study Notes

Introduction

  • A list of experiments for the WASSCE exam is provided in the book's checklist.
  • Ensure you can repeat the procedures for each experiment.

Numerical Problems

  • Carefully read the question to determine what is required.
  • List given data using appropriate symbols.
  • Write down the relevant equation(s) and define all symbols.
  • Sketch a diagram if needed.
  • Ensure all substituted data is in the correct SI units.
  • Rearrange the equation to solve for the needed parameter.
  • Be careful to avoid computational errors.

Suggested Study Procedure

  • Thoroughly study the revision notes.
  • Clarify any points using textbooks if needed.
  • Attempt "true or false" questions before checking answers.
  • Attempt all SSCE/JME-type objective questions.
  • Allow approximately one minute per question.
  • Score yourself using the answer key.
  • If you cannot complete the problem set within the allotted time, continue and note the extra time taken.
  • Review solutions carefully to identify areas needing clarification.
  • Revisit the revision notes or textbook for better understanding.
  • Consult your teacher if needed.
  • Take the model objective tests after completing the whole book.
  • Aim to take the tests as close to the examination date as possible.
  • Your average score on these tests will provide an indication of expected performance in the actual exam.
  • Best of luck.

Fundamental Concepts

  • Length, mass, and time are fundamental quantities in mechanics.
  • Other fundamental quantities include electric current and temperature.
  • The International System (SI) units are used.

Measurement of Length

  • Lengths are measured using graduated scales (e.g., meter rules).
  • Measurement precision depends on the instrument's graduation.
  • Estimation can be made to fractions of the smallest graduation.
  • Uncertainty in a measurement is usually half the smallest scale division.
  • Vernier calipers are used for small distance measurements.
  • The first decimal place comes from the major scale, and the second is from the vernier scale.
  • Micrometer screw gauges measure very small lengths.

Derived Concepts

  • Quantities like area, volume, speed, density, etc. are derived from fundamental quantities.
  • These derived quantities have their own units.

Scalars and Vectors

  • Scalars have magnitude only. Examples include length, mass, time, and speed.
  • Vectors have both magnitude and direction. Examples include displacement, velocity, and force.
  • Vector quantities are represented with arrows (magnitude by length, direction by arrow).

Position and Direction

  • The position of an object is specified relative to a reference point (e.g., origin).
  • In two/three dimensions, positions are given as coordinates.
  • Direction is described using an angle relative to a reference line (e.g., cardinal directions).

Addition of Vectors

  • Adding two vectors (A and B) results in a resultant vector (R).
  • Using the parallelogram law: The resultant's magnitude and direction are found by the parallelogram's diagonal.
  • A single vector can be split into components along perpendicular directions.

Resolution of Vectors

  • A single vector can be replaced by two perpendicular components.
  • The magnitude of a vector component along a direction is the product of its magnitude and the cosine of the angle.

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