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Most Challenging Class 12th Physics Problems and Tips to Solve

by PW Gulf
March 17, 2025
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Most Challenging Class 12th Physics Problems: Physics is a crucial subject for students belonging to Science stream in class 12. The subject comprises multiple concepts and requires students to gain clear understanding and learn their application to solve various real-world based questions. 

Although students are recommended to cover all the topics included in the class 12 Physics syllabus, it is essential to pay attention to the challenging ones. One of the key aspects of improving Physics preparation in class 12 includes solving challenging questions from high weightage chapters. This approach improves students’ problem solving skills and they are able to confidently approach board and competitive exams.

To help students effectively prepare for class 12 Physics, here are chapter-wise challenging questions and tips to solve them.

Electromagnetic Induction and Alternating Currents

This chapter explains how changing magnetic fields induce electric currents and the behaviour of circuits with alternating currents. Most challenging topics of this chapter are Faraday's Law, Lenz's Law, and their applications in devices like transformers and generators.

Here are key tips to solve challenging questions in Electromagnetic Induction and Alternating Current:

  • Master Fundamental Laws: Ensure a solid grasp of Faraday's and Lenz's Laws. These topics form the foundation for solving various types of questions in this chapter.

  • Visualise Magnetic Flux Changes: Students should develop the ability to visualise how magnetic flux changes over time. This is crucial for understanding induced electromotive force (emf).

  • Practice Circuit Analysis: Practice problems involving RLC circuits. This helps in understanding the phase relationships between voltage and current.

Challenging Problem on Electromagnetic Induction and Alternating Currents

A rectangular loop of wire with dimensions l and w is moving with a constant velocity v perpendicular to a uniform magnetic field B. Calculate the induced electromotive force (emf) in the loop and the direction of the induced current.

Tips to Solve:

  • Understand Faraday's Law: The induced emf () is given by =−dΦBdt​​, where ΦB​ is the magnetic flux.

  • Calculate Magnetic Flux: Determine the magnetic flux ΦB=B×Area. As the loop moves, the area intersecting the magnetic field changes, affecting ΦB​.

  • Determine Rate of Change: Compute −dΦBdt​ considering the velocity v and dimensions of the loop.

  • Apply Lenz's Law: The direction of the induced current opposes the change in magnetic flux, as per Lenz's Law.

Optics (Wave and Ray)

Optics comprises the study of light behaviour through reflection, refraction, interference, and diffraction. In this chapter, students find it particularly challenging to understand the wave-particle duality of light.

To solve questions based on Optics in class 12 OPhysics, students should follow the following tips:

  • Study the principles governing light's interaction with different media, such as Snell's Law for refraction.

  • Draw ray diagrams for lenses and mirrors to understand image formation and solve related problems.

  • For interference and diffraction problems, students should understand the conditions for constructive and destructive interference.

Challenging Problem on Optics (Wave and Ray)

Two coherent light sources produce an interference pattern on a screen. If the wavelength of light is λ and the distance between the slits is d, derive the expression for the fringe width and determine the conditions for constructive and destructive interference.

Tips to Solve:

  • Understand Interference Conditions: Constructive interference occurs when the path difference is an integer multiple of λ; destructive occurs at half-integer multiples.

  • Derive Fringe Width: Use the geometry of the setup to relate fringe width (β) to λ, d, and the distance to the screen (D): β= λDd​.

  • Visualise the Pattern: Sketching the interference pattern can aid in understanding the distribution of fringes.

Dual Nature of Radiation and Matter

This chapter introduces quantum mechanics concepts. The topics in this chapter explain how particles like electrons exhibit both wave-like and particle-like properties.

Here are key tips to solve problems:

  • Understand experiments like the photoelectric effect that demonstrate the dual nature of particles.

  • Learn to effectively apply equations such as de Broglie's wavelength formula to solve numerical problems.

  • Relate concepts to modern technologies like electron microscopes to appreciate their practical significance.

Challenging Problem on Dual Nature of Radiation and Matter

Calculate the de Broglie wavelength of an electron accelerated through a potential difference of V volts.

Tips to Solve:

  • Relate Energy to Wavelength: The kinetic energy gained by the electron is eV, where e is the electron charge.

  • Apply de Broglie's Equation: λ=hp​, where p is momentum. Relate momentum to kinetic energy: p=2meeV

  • Simplify the Expression: Combine the equations to find λ= h2meeV

Semiconductor Electronics

This chapter covers the properties of semiconductors and their applications in electronic devices. Understanding the behaviour of p-n junctions and transistors requires a solid grasp of semiconductor physics.

Here are recommended tips to solve questions from Semiconductor Electronics in class 12 Physics:

  • Learn about intrinsic and extrinsic semiconductors and how doping affects their conductivity.

  • Practice interpreting and analysing circuits involving diodes and transistors.

  • Study the I-V characteristics of semiconductor devices to predict their behaviour in circuits.

Challenging Problem on Semiconductor Electronics

Analyse a common-emitter transistor amplifier circuit to determine the voltage gain, given the load resistor RL​, the transistor's current gain β, and the input resistance Rin​..

Tips to Solve:

  • Understand Amplifier Configuration: Recognise that in a common-emitter configuration, the output is inverted relative to the input.

  • Apply Gain Formula: Voltage gain Av=−β×RLRin​.

  • Consider Signal Phase: The negative sign indicates a 180-degree phase shift between input and output.

Effective Strategies for Solving Class 12th Physics Challenging Questions

To accurately solve challenging physics questions, students require a strategic approach and consistent practice. Here are some essential techniques that can enhance students’ problem-solving skills:

  • Focus on building a solid understanding of fundamental theories and concepts as they form the foundation for solving challenging questions.

  • Regularly attempt a variety of questions from sample papers, practice sets, and other relevant study resources to improve grasp of different problem types.

  • To simplify complex questions, students should consider drawing diagrams wherever applicable. 

  • Break lengthy or complex questions into smaller, manageable steps. This approach is helpful for simplifying calculations and improving accuracy.

  • Seek guidance from faculties or mentors for clarity on challenging concepts or doubts.

  • Maintain a notebook with all key formulas and revise them frequently to enhance knowledge retention.

  • Solving previous years’ question papers to gain insights into the expected exam pattern, frequently asked topics and various types of problems.

Most Challenging Class 12th Physics FAQs

Q1. How to solve numerical problems in class 12 Physics?

Ans. To solve numerical problems in class 12 Physics, students must determine the topic from which the question has been asked. Further, they should analyse the question and apply relevant formulas or principles to find the solution. To get the right answer, students must follow accurate calculations in every step.

Q2. What is the toughest topic in Physics class 12?

Ans. The difficulty level of Physics chapters depends on a student’s knowledge and understanding. However, most students find Optics, Quantum Physics, and Nuclear Physics particularly challenging in class 12 Physics.

Q3. Can I complete 12th physics in 1 month?

Ans. It might be challenging to complete class 12 Physics in 1 month if students start their exam preparation from scratch. However, those who have earlier studied all the Physics chapters can complete a thorough revision of every topic in 1 month by following a strategic study plan.

Q4. Which is the hardest subject in class 12?

Ans. Maths and Physics are considered the hardest subjects in class 12.

Q5. Which class 12 Physics chapter carries the highest weightage?

Ans. Ray Optics and Optical Instruments carry the highest weightage in Class 12 Physics.

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