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Numerical Problems | Quantum Physics Class 12 | Ch 21 Physics FBISE | NBF | Lec 9 This lecture covers *Numerical Problems of Chapter 21: Quantum Physics* for Class 12 Physics (FBISE, NBF). Detailed solutions of questions on *work function, stopping potential, photon energy, photoelectric effect, Compton scattering, and electron velocity* are explained step by step. Perfect for Class 12 students preparing for Federal Board exams. ⏱️ Timestamps (Quantum Physics Numericals): 00:00:00 - Q1: Potassium work function (2.1 eV), stopping potential = 0.43 V → wavelength of radiation 00:08:39 - Q2: Light of 5000 Å on metal (ϕ = 1.9 eV) → photon energy, KE of photoelectrons, stopping potential 00:14:03 - Q3: Photon energies of violet light (413 nm), X-rays (0.1 nm), radio waves (10 m) 00:20:05 - Q4: Minimum photon energy to transfer half of its energy to an electron at rest 00:23:10 - Q5: Electron in atomic-size box (1 Å) → velocity of electron 00:27:03 - Q6: 50 keV X-ray scattered at 90° → energy after Compton scattering 📌 This lecture is very helpful for *Class 12 Physics students* to understand *quantum mechanics concepts and numerical problems* for board exam preparation. #QuantumPhysics #PhysicsClass12 #FBISE #NBF #PhotoelectricEffect #PhotonEnergy #WorkFunction #StoppingPotential #ComptonScattering #PhysicsNumericals quantum physics class 12 numericals, physics 12 chapter 21 quantum physics solutions, class 12 physics numerical problems quantum mechanics, photoelectric effect numericals class 12, stopping potential problems physics 12, work function questions physics federal board, photon energy calculations class 12, compton scattering numerical solution, quantum physics lecture class 12, FBISE physics quantum chapter 21 numericals, NBF class 12 physics chapter 21 problems