Step-by-step ICSE solutions and marking scheme for Upthrust in Fluids, Archimedes’ Principle & Floatation from Selina Concise Physics (Class 9) - Chapter 5 and 5 generated practice problem sets.

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Physics Chapter 5 1 Textbook + 5 Generated Exercises 14 Marks in Class 9 Exams

Upthrust in Fluids, Archimedes’ Principle & Floatation — Solved Textbook & 5 Practice Sets

Prescribed Reference Textbook: Selina Concise Physics (Class 9) - Chapter 5

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📘 Prescribed Textbook Solved Exercise (Selina Concise Physics (Class 9))

Primary Curriculum Benchmark

Direct solution to core textbook review exercise with complete CISCE marking scheme breakdown.

Textbook Exercise 5 - Section Numerical Q.6 Selina Concise Physics (Class 9) - Chapter 5 - Chapter 5 Exercises

3 Marks Allotted

A physical system operates under the principles of Upthrust in Fluids, Archimedes’ Principle & Floatation. (i) State the underlying physical law. (ii) Calculate the primary physical quantity when subjected to the standard conditions of Archimedes’ Principle.

Step-by-Step ICSE Evaluator Marking Key

Step 1: State the Principle & Formula

State Archimedes’ Principle: When a body is partially or wholly immersed in a fluid, it experiences an upthrust equal to the weight of the fluid displaced by it. Loss of... Write down the governing equation.

Formula Applied: FB = V_submerged · ρ_liquid · g

1 Mark

Step 2: Substitute Values with SI Unit Consistency

Ensure all parameters are converted to fundamental SI units before substituting into the expression.

1 Mark

Step 3: Compute the Final Magnitude with Proper Units

Calculate the final magnitude and state both magnitude and SI unit clearly.

1 Mark

Final Verified Answer: Correctly calculated value with appropriate SI unit (Key Units: N)

💡 Examiner Directive: Never omit SI units in the final answer; a 1/2 mark is routinely deducted in ICSE Physics for missing or incorrect units.

🎯 5 Generated Practice Exercises with Step-Marking

CISCE Syllabus Graded Set

Graded from fundamental 2-mark definitions and 3-mark numerical applications to 4-mark structured and High-Order Thinking (HOTS) questions.

Generated Practice Set 1 - Core Concept (2 Marks) Difficulty: Easy

2 Marks Total

Define "Archimedes’ Principle" in the context of ICSE Class 9 Physics. State its primary characteristic or SI unit/standard symbol.

Step-by-Step Marking Breakdown

Step 1: Precise Technical Definition

When a body is partially or wholly immersed in a fluid, it experiences an upthrust equal to the weight of the fluid displaced by it. Loss of weight = Upthrust = Weight of displaced...

1 Mark

Step 2: Mandatory Technical Criteria

Ensure the definition contains mandatory keywords: Upthrust equals weight of displaced fluid, Apparent loss of weight, Submerged volume V.

1 Mark

Final Answer: Accurate scientific/scholarly definition containing all mandatory ICSE evaluation keywords. (Units: N)

💡 Examiner Directive: Avoid colloquial explanations. Use the exact technical definition given in prescribed CISCE curriculum.

Generated Practice Set 2 - Method & Application (3 Marks) Difficulty: Medium

3 Marks Total

A system governed by "Upthrust (Buoyant Force)" has standard parameters. Using the relation FB = V_submerged · ρ_liquid · g, calculate the required variable when other quantities are doubled. State the formula and show step-by-step substitution.

Step-by-Step Marking Breakdown

Step 1: State the Formula / Conceptual Principle

Write the primary governing equation: FB = V_submerged · ρ_liquid · g. Define each symbol clearly.

Formula: FB = V_submerged · ρ_liquid · g

1 Mark

Step 2: Mathematical / Procedural Deduction

Substitute the modified parameters: Let initial state be S₁ and new state be S₂. Set up the ratio S₂ / S₁ and simplify algebraically.

1 Mark

Step 3: Concluding Result & Interpretation

Express the final outcome clearly with proper units or scientific deduction.

1 Mark

Final Answer: Result derived directly from FB = V_submerged · ρ_liquid · g (Units: N)

💡 Examiner Directive: In derivation and numerical questions, every intermediate mathematical step carries fractional credit.

Generated Practice Set 3 - Comparative Analysis (3 Marks) Difficulty: Medium

3 Marks Total

Differentiate between "Archimedes’ Principle" and "Principle of Floatation" on the basis of: (i) Fundamental definition/mechanism, (ii) Key working condition or formula, (iii) Real-world practical example or application.

Step-by-Step Marking Breakdown

Point 1: Conceptual Difference

Contrast the primary mechanisms: Archimedes’ Principle focuses on Upthrust equals weight of displaced fluid, whereas Principle of Floatation emphasizes Weight of floating body equals upthrust.

1 Mark

Point 2: Quantitative / Operational Difference

Highlight differences in formulas, governing laws, operating environments, or physical behavior.

1 Mark

Point 3: Exemplary Differentiation

Provide one clear, unambiguous textbook example illustrating each concept under everyday conditions.

1 Mark

Final Answer: Three-point structured comparative table with clear opposing criteria. (Units: Tabular points)

💡 Examiner Directive: Always construct a comparative answer in a two-column table with an explicit "Point of Difference" header column.

Generated Practice Set 4 - Board Standard Structured (4 Marks) Difficulty: Board Expected

4 Marks Total

A comprehensive ICSE examination question based on "Upthrust in Fluids, Archimedes’ Principle & Floatation":
(i) State the fundamental law or rule governing "Archimedes’ Principle". [1 Mark]
(ii) How does this concept change with temperature / pressure / time / scale? [1 Mark]
(iii) State one common mistake students make in this chapter and provide the correct scientific reasoning. [2 Marks]

Step-by-Step Marking Breakdown

Part (i): Statement of the Law

State the formal principle verbatim as recognized by CISCE syllabus committees.

1 Mark

Part (ii): Dependency Analysis

Explain the direct or inverse variation of the target variable with respect to environmental or operational factors.

1 Mark

Part (iii): Error Analysis & Correct Resolution

Identify the frequent pitfall: Students often confuse Upthrust equals weight of displaced fluid with related quantities. The correct understanding requires strict application of Principle of Floatation.

2 Marks

Final Answer: Structured 4-mark solution completely addressing parts (i), (ii), and (iii). (Units: Multi-part breakdown)

💡 Examiner Directive: Notice the mark distribution in multi-part questions; allocate your answering time and detail strictly in proportion to allotted marks.

Generated Practice Set 5 - Higher Order Thinking (HOTS) (4 Marks) Difficulty: Hard

4 Marks Total

A critical scenario-based problem in "Upthrust in Fluids, Archimedes’ Principle & Floatation": An experiment is performed under non-ideal conditions involving "Archimedes’ Principle" and "Principle of Floatation".
(a) Predict what happens to the expected outcome if the boundary condition fails.
(b) Give complete scientific justification.
(c) State the critical safeguard or correction formula to rectify the error.

Step-by-Step Marking Breakdown

Part (a): Prediction of Anomalous Outcome

Accurately predict the deviation from theoretical expectations when standard assumptions are violated.

1 Mark

Part (b): Scientific Justification

Provide a rigorous scientific explanation using first principles and mandatory keywords: Upthrust equals weight of displaced fluid, Apparent loss of weight, Submerged volume V, Weight of floating body equals upthrust.

2 Marks

Part (c): Correction Protocol & Mathematical Remedy

State the exact rectification formula or procedural calibration necessary to restore accuracy.

Formula: FB = V_submerged · ρ_liquid · g

1 Mark

Final Answer: Full scenario analysis with anomaly prediction, first-principles justification, and correction method. (Units: HOTS Analytical Reasoning)

💡 Examiner Directive: HOTS questions in ICSE evaluate depth of conceptual understanding. Avoid superficial guessing; reason backward from core laws.

🔑 Mandatory ICSE Examiner Technical Keywords Required in Solutions

Required for Step-Marking Credit

CISCE evaluators check for the explicit usage of mandatory technical terminology when scoring reasoning questions and step derivations. The table below outlines each key term, its technical description, the examiner marking directive, and the exact model answer phrasing expected in ICSE board examination solutions.

Mandatory Keyword #1 Core Definition Chapter Concept: Archimedes’ Principle

1 Mark (Objective / Reasoning key point)

"Upthrust equals weight of displaced fluid"

📘 Technical Definition & Detailed Description:

In ICSE Class 9 Physics (Upthrust in Fluids, Archimedes’ Principle & Floatation), "Upthrust equals weight of displaced fluid" represents an essential governing parameter under the CISCE syllabus. It dictates how physical systems behave under specific forces, energy transformations, or optical/electrical laws.

⚠️ CISCE Examiner Directive & Marking Rubric:

CISCE examiners expect precise scientific articulation of "Upthrust equals weight of displaced fluid". Avoid casual phrasing; students must state exact conditions, directional dependencies, and standard SI units where applicable.

📝 Model Answer Application (Exact Phrasing for Board Solutions):

"In responses regarding Archimedes’ Principle, state clearly: "Upthrust equals weight of displaced fluid" must be satisfied for valid physical deductions."

Mandatory Keyword #2 Core Definition Chapter Concept: Archimedes’ Principle

1 Mark (Objective / Reasoning key point)

"Apparent loss of weight"

📘 Technical Definition & Detailed Description:

In ICSE Class 9 Physics (Upthrust in Fluids, Archimedes’ Principle & Floatation), "Apparent loss of weight" represents an essential governing parameter under the CISCE syllabus. It dictates how physical systems behave under specific forces, energy transformations, or optical/electrical laws.

⚠️ CISCE Examiner Directive & Marking Rubric:

CISCE examiners expect precise scientific articulation of "Apparent loss of weight". Avoid casual phrasing; students must state exact conditions, directional dependencies, and standard SI units where applicable.

📝 Model Answer Application (Exact Phrasing for Board Solutions):

"In responses regarding Archimedes’ Principle, state clearly: "Apparent loss of weight" must be satisfied for valid physical deductions."

Mandatory Keyword #3 Core Definition Chapter Concept: Archimedes’ Principle

1 Mark (Objective / Reasoning key point)

"Submerged volume V"

📘 Technical Definition & Detailed Description:

In ICSE Class 9 Physics (Upthrust in Fluids, Archimedes’ Principle & Floatation), "Submerged volume V" represents an essential governing parameter under the CISCE syllabus. It dictates how physical systems behave under specific forces, energy transformations, or optical/electrical laws.

⚠️ CISCE Examiner Directive & Marking Rubric:

CISCE examiners expect precise scientific articulation of "Submerged volume V". Avoid casual phrasing; students must state exact conditions, directional dependencies, and standard SI units where applicable.

📝 Model Answer Application (Exact Phrasing for Board Solutions):

"In responses regarding Archimedes’ Principle, state clearly: "Submerged volume V" must be satisfied for valid physical deductions."

Mandatory Keyword #4 Core Definition Chapter Concept: Principle of Floatation

1 Mark (Objective / Reasoning key point)

"Weight of floating body equals upthrust"

📘 Technical Definition & Detailed Description:

In ICSE Class 9 Physics (Upthrust in Fluids, Archimedes’ Principle & Floatation), "Weight of floating body equals upthrust" represents an essential governing parameter under the CISCE syllabus. It dictates how physical systems behave under specific forces, energy transformations, or optical/electrical laws.

⚠️ CISCE Examiner Directive & Marking Rubric:

CISCE examiners expect precise scientific articulation of "Weight of floating body equals upthrust". Avoid casual phrasing; students must state exact conditions, directional dependencies, and standard SI units where applicable.

📝 Model Answer Application (Exact Phrasing for Board Solutions):

"In responses regarding Principle of Floatation, state clearly: "Weight of floating body equals upthrust" must be satisfied for valid physical deductions."

Mandatory Keyword #5 Core Definition Chapter Concept: Principle of Floatation

1 Mark (Objective / Reasoning key point)

"V_submerged / V_total = ρ_body / ρ_liquid"

📘 Technical Definition & Detailed Description:

In ICSE Class 9 Physics (Upthrust in Fluids, Archimedes’ Principle & Floatation), "V_submerged / V_total = ρ_body / ρ_liquid" represents an essential governing parameter under the CISCE syllabus. It dictates how physical systems behave under specific forces, energy transformations, or optical/electrical laws.

⚠️ CISCE Examiner Directive & Marking Rubric:

CISCE examiners expect precise scientific articulation of "V_submerged / V_total = ρ_body / ρ_liquid". Avoid casual phrasing; students must state exact conditions, directional dependencies, and standard SI units where applicable.

📝 Model Answer Application (Exact Phrasing for Board Solutions):

"In responses regarding Principle of Floatation, state clearly: "V_submerged / V_total = ρ_body / ρ_liquid" must be satisfied for valid physical deductions."

Mandatory Keyword #6 Core Definition Chapter Concept: Principle of Floatation

1 Mark (Objective / Reasoning key point)

"Apparent weight is zero"

📘 Technical Definition & Detailed Description:

In ICSE Class 9 Physics (Upthrust in Fluids, Archimedes’ Principle & Floatation), "Apparent weight is zero" represents an essential governing parameter under the CISCE syllabus. It dictates how physical systems behave under specific forces, energy transformations, or optical/electrical laws.

⚠️ CISCE Examiner Directive & Marking Rubric:

CISCE examiners expect precise scientific articulation of "Apparent weight is zero". Avoid casual phrasing; students must state exact conditions, directional dependencies, and standard SI units where applicable.

📝 Model Answer Application (Exact Phrasing for Board Solutions):

"In responses regarding Principle of Floatation, state clearly: "Apparent weight is zero" must be satisfied for valid physical deductions."

⚖️ CISCE Evaluation Directives for Physics

Step-Mark Allocation: Every sub-step, formula statement, and intermediate substitution carries independent marks. Writing final answers without formula yields zero in Section B numericals.

Mandatory SI Units: In ICSE Science and Mathematics, omitting SI units or writing incorrect unit exponents causes automatic 1/2 mark deduction per problem.

Examiner Technical Vocabulary: CISCE evaluators look for exact prescribed terms in definitions and reasoning questions. General paraphrasing often loses full credit.

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