This page has every formula from Class 12 Physics Chapter 11, Dual Nature of Radiation and Matter. All 7 formulas are checked against the 2026-27 NCERT syllabus and cover CBSE boards, JEE Main, and NEET. Download the PDF below for a compact single-page revision card.
- 4 marks in CBSE boards: typically a 3-mark numerical plus a 1-mark MCQ from this chapter.
- 2-3 JEE Main questions per year: de Broglie wavelength, stopping potential, and photon energy numericals.
- 1-2 NEET questions per year: photon energy and threshold frequency MCQs.
Dual Nature of Radiation and Matter Class 12 Physics: Complete Formula Reference
The 7 formulas below cover every numerical this chapter generates. Each row gives the concept, the formula, and the SI unit.
| Concept | Formula | SI Unit |
|---|---|---|
| Photon energy | E = hν = hc/λ | joule |
| Einstein's photoelectric equation | hν = φ0 + (1/2)mvmax² | joule |
| Threshold frequency | ν0 = φ0/h | Hz |
| Stopping potential | eV0 = hν - φ0 | volt |
| De Broglie wavelength | λ = h/p = h/(mv) | metre |
| De Broglie wavelength (KE) | λ = h/√(2mKE) | metre |
| Electron wavelength (eV) | λ = 12.27/√V angstrom | angstrom |
De Broglie - every moving particle has a wavelength.
Class 12 Physics Chapter 11 Dual Nature of Radiation and Matter: Topic-by-Topic Breakdown
The chapter splits into four sub-topics. Each carries its own formulas.
- Electron emission from metals: 1 mark on thermionic, photoelectric, and field emission types.
- Photoelectric effect: 3 marks - Einstein equation hν = φ0 + (1/2)mvmax² is the core formula.
- Wave nature of matter (de Broglie): 3 marks - derivation of λ = h/p.
- Davisson-Germer experiment: 2 marks - conceptual write-up, no numerical.
For CBSE boards, the foundational formulas cover 95% of questions. JEE Main needs the full table plus 2-3 derived extensions. NEET focuses on photon energy and threshold frequency with careful unit checks.
Dual Nature of Radiation and Matter Video Lecture - Class 12 Physics Chapter 11
Source: JEE Physics By Vedantu on YouTube
Watch this lecture for a walkthrough of all key formulas and derivations. Pair it with the formula table and the PDF above for a complete revision pass.
Dual Nature of Radiation and Matter Weightage Across Class 12 Physics Chapters
The table below shows how Chapter 11 sits against the rest of Class 12 Physics. Marks are CBSE board averages over the last five papers.
| Chapter | Topic | Avg CBSE Marks |
|---|---|---|
| Ch 1 | Electric Charges and Fields | 6 marks |
| Ch 2 | Electrostatic Potential and Capacitance | 7 marks |
| Ch 3 | Current Electricity | 7 marks |
| Ch 4 | Moving Charges and Magnetism | 6 marks |
| Ch 5 | Magnetism and Matter | 3 marks |
| Ch 6 | Electromagnetic Induction | 5 marks |
| Ch 7 | Alternating Current | 6 marks |
| Ch 8 | Electromagnetic Waves | 2 marks |
| Ch 9 | Ray Optics and Optical Instruments | 7 marks |
| Ch 10 | Wave Optics | 5 marks |
| Ch 11 | Dual Nature of Radiation and Matter | 4 marks |
| Ch 12 | Atoms | 3 marks |
| Ch 13 | Nuclei | 3 marks |
| Ch 14 | Semiconductor Electronics | 6 marks |
Dual Nature of Radiation and Matter Previous Year Questions Weightage (2021 to 2026)
The table below shows every CBSE board, JEE Main, and NEET appearance of Chapter 11 topics over the last six sessions.
| Year | CBSE Board | JEE Main | NEET |
|---|---|---|---|
| 2026 | Einstein photoelectric equation derivation (3 marks) | De Broglie wavelength of electron (4 marks) | Photoelectric effect and de Broglie wavelength (2 questions) |
| 2025 | Davisson-Germer experiment (3 marks) | Stopping potential vs frequency graph | Photon energy MCQ |
| 2024 | De Broglie wavelength numerical (3 marks) | Work function comparison | Threshold frequency definition |
| 2023 | Threshold frequency and work function (3 marks) | Stopping potential calculation | Wave nature of electron |
| 2022 | Photoelectric effect explanation (2 marks) | Photon momentum problem | Einstein equation MCQ |
| 2021 | - | De Broglie wavelength of proton | - |
Photoelectric effect - what students get wrong.
Common Mistakes in Dual Nature of Radiation and Matter Formula Application
Mistake 1: Substituting numbers before isolating the unknown. Rearrange the formula first, then substitute.
Mistake 2: Forgetting unit conversion. Use SI units throughout unless the question says otherwise.
Mistake 3: Confusing de Broglie wavelength with photon wavelength. They use different formulas for the same variable.
Mistake 4: Using threshold frequency where work function is needed, or the reverse. Check what the question asks for before picking a formula.
Each of these costs 1 to 2 marks.
Student Feedback
In a Collegedunia poll of 11,820 Class 12 Physics students before the 2026 boards, 74% rated the formula sheet as their most-used revision resource.
- 74% of students surveyed placed the formula sheet at the top of their revision priority list.
- 58% reviewed it daily in the last 7 days before the boards.
- 4 out of 5 students kept a printed copy in their notebook.
- 67% used it alongside Chapter Notes during the night-before revision pass.
Source: 2025-26 Class 12 Physics student poll. Sample of 11,820 students from CBSE schools across 16 states.
Other Resources for Class 12 Physics Chapter 11 - Dual Nature of Radiation and Matter
| Resource | Link |
|---|---|
| Notes | Dual Nature of Radiation and Matter Notes |
| NCERT Solutions | Dual Nature of Radiation and Matter NCERT Solutions |
| Formula Sheet | Dual Nature of Radiation and Matter Formula Sheet |
| NCERT Book PDF | Dual Nature of Radiation and Matter NCERT Book PDF |
| Exemplar Book PDF | Dual Nature of Radiation and Matter Exemplar Book PDF |
| Exemplar Solutions | Dual Nature of Radiation and Matter Exemplar Solutions |
| Handwritten Notes | Dual Nature of Radiation and Matter Handwritten Notes |
NCERT Formula Sheets for Class 12 Physics: All Chapters
| Chapter | Resource |
|---|---|
| Chapter 1 | Electric Charges and Fields Formula Sheet |
| Chapter 2 | Electrostatic Potential and Capacitance Formula Sheet |
| Chapter 3 | Current Electricity Formula Sheet |
| Chapter 4 | Moving Charges and Magnetism Formula Sheet |
| Chapter 5 | Magnetism and Matter Formula Sheet |
| Chapter 6 | Electromagnetic Induction Formula Sheet |
| Chapter 7 | Alternating Current Formula Sheet |
| Chapter 8 | Electromagnetic Waves Formula Sheet |
| Chapter 9 | Ray Optics and Optical Instruments Formula Sheet |
| Chapter 10 | Wave Optics Formula Sheet |
| Chapter 11 | Dual Nature of Radiation and Matter Formula Sheet |
| Chapter 12 | Atoms Formula Sheet |
| Chapter 13 | Nuclei Formula Sheet |
| Chapter 14 | Semiconductor Electronics Formula Sheet |
Class 12 Physics Chapter 11 Dual Nature of Radiation and Matter Formula Sheet FAQs
Ques. How many formulas are in the Class 12 Chapter 11 formula sheet?
Ans. There are 7 core formulas. The table on this page lists all of them with units. The PDF has the same list on one A4 sheet for a quick night-before revision pass.
Ques. What is the weightage of Class 12 Physics Chapter 11 in CBSE boards?
Ans. Chapter 11 carries 4 marks in CBSE Class 12 boards on average. It also gives 2 to 3 questions in JEE Main and 1 to 2 questions in NEET per year.
Ques. Where can I download the Class 12 Physics Chapter 11 formula sheet PDF?
Ans. The PDF is available on this page via the flipbook at the top. Use the Download button to save it. It covers all 7 formulas plus JEE/NEET extensions on a single page.
Ques. Does this formula sheet cover JEE Main extensions?
Ans. Yes. The PDF includes 2-3 derived results that JEE Main and JEE Advanced test but CBSE boards rarely ask. These are marked clearly in the PDF.
Ques. Which formula in Chapter 11 appears most often in board exams?
Ans. Einstein's photoelectric equation and de Broglie wavelength appear every year in CBSE boards and JEE Main. Both are in the formula table above.
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