Step-by-step ICSE solutions and marking scheme for Spectrum: Dispersion, UV & Infrared Radiations from Selina Concise Physics (Class 10) - Chapter 6 and 5 generated practice problem sets.

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Physics Chapter 4 1 Textbook + 5 Generated Exercises 8 - 10 Marks in ICSE Board Exam

Spectrum: Dispersion, UV & Infrared Radiations — Solved Textbook & 5 Practice Sets

Prescribed Reference Textbook: Selina Concise Physics (Class 10) - Chapter 6

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📘 Prescribed Textbook Solved Exercise (Selina Concise Physics (Class 10))

Primary Curriculum Benchmark

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

Textbook Exercise 4 - Section Numerical Q.6 Selina Concise Physics (Class 10) - Chapter 6 - Chapter 4 Exercises

3 Marks Allotted

A physical system operates under the principles of Spectrum: Dispersion, UV & Infrared Radiations. (i) State the underlying physical law. (ii) Calculate the primary physical quantity when subjected to the standard conditions of Dispersion & Cauchy’s Relation.

Step-by-Step ICSE Evaluator Marking Key

Step 1: State the Principle & Formula

State Dispersion & Cauchy’s Relation: Dispersion is the splitting of white light into constituent colors (VIBGYOR) due to different speeds/refractive indices for different wavele... Write down the governing equation.

Formula Applied: Intensity of scattered light I ∝ 1 / λ⁴

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: arbitrary)

💡 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 "Dispersion & Cauchy’s Relation" in the context of ICSE Class 10 Physics. State its primary characteristic or SI unit/standard symbol.

Step-by-Step Marking Breakdown

Step 1: Precise Technical Definition

Dispersion is the splitting of white light into constituent colors (VIBGYOR) due to different speeds/refractive indices for different wavelengths in glass (μ_violet > μ_red). Red b...

1 Mark

Step 2: Mandatory Technical Criteria

Ensure the definition contains mandatory keywords: VIBGYOR, Red deviates least (longest wavelength), Violet deviates most (shortest wavelength).

1 Mark

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

💡 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 "Rayleigh’s Law of Scattering" has standard parameters. Using the relation Intensity of scattered light I ∝ 1 / λ⁴, 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: Intensity of scattered light I ∝ 1 / λ⁴. Define each symbol clearly.

Formula: Intensity of scattered light I ∝ 1 / λ⁴

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 Intensity of scattered light I ∝ 1 / λ⁴ (Units: arbitrary)

💡 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 "Dispersion & Cauchy’s Relation" and "Infrared & Ultraviolet Detection" 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: Dispersion & Cauchy’s Relation focuses on VIBGYOR, whereas Infrared & Ultraviolet Detection emphasizes Infrared detected by blackened bulb thermometer.

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 "Spectrum: Dispersion, UV & Infrared Radiations":
(i) State the fundamental law or rule governing "Dispersion & Cauchy’s Relation". [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 VIBGYOR with related quantities. The correct understanding requires strict application of Infrared & Ultraviolet Detection.

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 "Spectrum: Dispersion, UV & Infrared Radiations": An experiment is performed under non-ideal conditions involving "Dispersion & Cauchy’s Relation" and "Infrared & Ultraviolet Detection".
(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: VIBGYOR, Red deviates least (longest wavelength), Violet deviates most (shortest wavelength), Speed of all colors is same in vacuum.

2 Marks

Part (c): Correction Protocol & Mathematical Remedy

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

Formula: Intensity of scattered light I ∝ 1 / λ⁴

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: Dispersion & Cauchy’s Relation

1 Mark (Objective / Reasoning key point)

"VIBGYOR"

📘 Technical Definition & Detailed Description:

In ICSE Class 10 Physics (Spectrum: Dispersion, UV & Infrared Radiations), "VIBGYOR" 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 "VIBGYOR". 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 Dispersion & Cauchy’s Relation, state clearly: "VIBGYOR" must be satisfied for valid physical deductions."

Mandatory Keyword #2 Core Definition Chapter Concept: Dispersion & Cauchy’s Relation

1 Mark (Objective / Reasoning key point)

"Red deviates least (longest wavelength)"

📘 Technical Definition & Detailed Description:

In ICSE Class 10 Physics (Spectrum: Dispersion, UV & Infrared Radiations), "Red deviates least (longest wavelength)" 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 "Red deviates least (longest wavelength)". 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 Dispersion & Cauchy’s Relation, state clearly: "Red deviates least (longest wavelength)" must be satisfied for valid physical deductions."

Mandatory Keyword #3 Core Definition Chapter Concept: Dispersion & Cauchy’s Relation

1 Mark (Objective / Reasoning key point)

"Violet deviates most (shortest wavelength)"

📘 Technical Definition & Detailed Description:

In ICSE Class 10 Physics (Spectrum: Dispersion, UV & Infrared Radiations), "Violet deviates most (shortest wavelength)" 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 "Violet deviates most (shortest wavelength)". 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 Dispersion & Cauchy’s Relation, state clearly: "Violet deviates most (shortest wavelength)" must be satisfied for valid physical deductions."

Mandatory Keyword #4 Core Definition Chapter Concept: Dispersion & Cauchy’s Relation

1 Mark (Objective / Reasoning key point)

"Speed of all colors is same in vacuum"

📘 Technical Definition & Detailed Description:

In ICSE Class 10 Physics (Spectrum: Dispersion, UV & Infrared Radiations), "Speed of all colors is same in vacuum" 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 "Speed of all colors is same in vacuum". 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 Dispersion & Cauchy’s Relation, state clearly: "Speed of all colors is same in vacuum" must be satisfied for valid physical deductions."

Mandatory Keyword #5 Core Definition Chapter Concept: Infrared & Ultraviolet Detection

1 Mark (Objective / Reasoning key point)

"Infrared detected by blackened bulb thermometer"

📘 Technical Definition & Detailed Description:

In ICSE Class 10 Physics (Spectrum: Dispersion, UV & Infrared Radiations), "Infrared detected by blackened bulb thermometer" 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 "Infrared detected by blackened bulb thermometer". 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 Infrared & Ultraviolet Detection, state clearly: "Infrared detected by blackened bulb thermometer" must be satisfied for valid physical deductions."

Mandatory Keyword #6 Core Definition Chapter Concept: Infrared & Ultraviolet Detection

1 Mark (Objective / Reasoning key point)

"Ultraviolet detected by silver chloride paper"

📘 Technical Definition & Detailed Description:

In ICSE Class 10 Physics (Spectrum: Dispersion, UV & Infrared Radiations), "Ultraviolet detected by silver chloride paper" 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 "Ultraviolet detected by silver chloride paper". 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 Infrared & Ultraviolet Detection, state clearly: "Ultraviolet detected by silver chloride paper" must be satisfied for valid physical deductions."

Mandatory Keyword #7 Core Definition Chapter Concept: Infrared & Ultraviolet Detection

1 Mark (Objective / Reasoning key point)

"Quartz prism for UV (glass absorbs UV)"

📘 Technical Definition & Detailed Description:

In ICSE Class 10 Physics (Spectrum: Dispersion, UV & Infrared Radiations), "Quartz prism for UV (glass absorbs UV)" 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 "Quartz prism for UV (glass absorbs UV)". 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 Infrared & Ultraviolet Detection, state clearly: "Quartz prism for UV (glass absorbs UV)" must be satisfied for valid physical deductions."

Mandatory Keyword #8 Core Definition Chapter Concept: Infrared & Ultraviolet Detection

1 Mark (Objective / Reasoning key point)

"Rock salt prism for IR"

📘 Technical Definition & Detailed Description:

In ICSE Class 10 Physics (Spectrum: Dispersion, UV & Infrared Radiations), "Rock salt prism for IR" 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 "Rock salt prism for IR". 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 Infrared & Ultraviolet Detection, state clearly: "Rock salt prism for IR" 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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