### 🔁 **1.
Exact Repeated Questions (High Probability of ‘As-Is’ Appearance)**
| Question
| Occurrence | Years Appeared|
1)Derive Schrödinger’s time-independent wave equation
|**4 times**| 2019, 2023 (May, Dec), 2024 |
2)State and explain Heisenberg's uncertainty principle using wave packets
| **4 times**| 2019, 2023 (May, Dec), 2024 |
3)Explain Hall Effect with diagram and derive Hall voltage equation
| **4 times**| 2019, 2023 (May, Dec), 2024 |
4)Differentiate between diamagnetic, paramagnetic and ferromagnetic materials
| **3 times**| 2019, 2023, 2024|
5)Explain Meissner Effect and perfect diamagnetism in superconductors
| **3 times**| 2019, 2023, 2024|
6)Explain optical/electrical/mechanical properties of nanoparticles
| **4 times** | 2019, 2023 (May, Dec), 2024 |
7)Ultrasonic flaw detection / Echo sounding technique
| **4 times** | 2019, 2023 (May, Dec), 2024 |
---
### 🔄 **2. Slightly Modified but Conceptually Repeated Questions**
| Modified Concept
| Core Idea | Years Observed
1)Energy levels in infinite potential well (rigid box)** — sometimes asks
derivation, sometimes asks numerical or energy gap calculation | 2)
2)Quantum confinement in potential well | 2019, 2023 (May, Dec), 2024 |
3)de Broglie wavelength** — asked with derivation from potential, or as a multiple-
choice relation |Wave-particle duality | All years
4)Wave function** — sometimes asking properties, sometimes significance of |
Quantum mechanics basics | All years
5)Calculation of mobility / resistivity using Hall coefficient** | Semiconductor
transport properties | 2019, 2023 (May), 2024
6)Applications of nanotechnology in electronics / automobiles / drug delivery |
Nanotechnology use cases | 2019, 2023 (May, Dec), 2024 |
7)Magnetic quantities (χ, μ, B, H)** — sometimes as definitions, sometimes as
relationship | Magnetism fundamentals | All years
---
### 📋 **3. Ranked Prediction of High-Probability Questions for Upcoming Exam**
**(Based on recurrence + conceptual weight + latest inclusion)**
| Rank | Question
| Type | Probability |
1️⃣ 1 | Derive Schrödinger’s time-independent wave equation
1|
| Theoretical Derivation | ★★★★★ |
2️⃣ | Explain Hall Effect with diagram and derive Hall voltage
|
| Core Conceptual | ★★★★★ |
3️⃣
| | State and explain Heisenberg uncertainty principle with wave packet
| Theory + Interpretation | ★★★★★ |
4️⃣
| | Optical/Electrical/Mechanical properties of nanoparticles
| Short + Conceptual | ★★★★☆ |
5️⃣
| | Differentiate magnetic materials (dia)
| Tabular/Short Notes | ★★★★☆ |
6️⃣
| | Ultrasonic Testing Technique for flaw detection
| NDT Practical | ★★★★☆ |
7️⃣
| | Applications of nanotechnology in electronics/automobile/drug delivery
| Emerging Field | ★★★★☆ |
8️⃣
| | Meissner Effect and superconductivity explanation
| Conceptual | ★★★★☆ |
9️⃣
| | Quantum confinement effect on nanoparticle properties
| Trending Concept | ★★★☆☆ |
| 🔟 | Fermi level in semiconductors (with diagram)
| Band Theory Core | ★★★☆☆ |
