⚠️ Auditor's Corrected Strategy: Q3 (2 Marks) me examiner lambi derivations nahi deta. Yahan Formula establishment aur 2-step numericals aate hain. Wahin Q4 (3 Marks) me Medium Derivations aur Diagram-based Conceptual reasoning check hoti hai. Niche diye gaye 4 pools me se hi dono sections banenge.
Q3 Zone: 2-Mark Micro-Topics (Target: 8 Marks)
- Mini Derivation
Relation between Electric Current and Drift Velocity. (Sabsay zyada repeated).
$$ I = neA v_d $$
- Concept
Mobility ($\mu$) definition & Unit. Temperature dependence of resistance ($\rho_T = \rho_0[1+\alpha\Delta T]$).
- Trap Alert
Mobility ka unit ($m^2/Vs$) galat likhna aur drift velocity ke formula me Area ($A$) chhod dena.
- Law/Formula
Lorentz Force in Vector form. When is magnetic force zero? (Parallel/Anti-parallel entry).
$$ \vec{F} = q(\vec{v} \times \vec{B}) $$
- Numerical
Self Inductance ya Mutual Inductance ka 2-step numerical (Given $L$, $\Delta I$, $\Delta t$, find $E$).
$$ E = -L \frac{dI}{dt} $$
- Trap Alert
Inductance ke numerical me $mH$ (milli-Henry) ko $H$ me convert na karna ($10^{-3}$ se multiply karna zaroori hai).
- Concept
Total Internal Reflection (TIR) conditions. Critical Angle definition.
$$ \sin i_c = \frac{1}{\mu} $$
- Numerical
Power of Lens combination ($P = P_1 + P_2$). Agar convex aur concave lens jode jayein toh net focal length kya hogi.
- Formula Base
de Broglie wavelength for accelerated electron.
$$ \lambda = \frac{12.27}{\sqrt{V}} \mathring{A} $$
- Numerical
Mass Defect ($\Delta m$) basic calculation. Convert amu to MeV.
- Trap Alert
Electron ki $\lambda$ nikalte waqt formula me $\sqrt{V}$ ki jagah sirf $V$ use karna aur answer meter ki jagah angstrom me directly na likhna.
Q4 Zone: 3-Mark Core Topics (Target: 12 Marks)
- Derivation
Wheatstone Bridge balance condition using Kirchhoff's Laws OR Motional EMF ($E = Bvl$) derivation.
[Image of Wheatstone bridge circuit diagram]
- Numerical
Kirchhoff's loop rule application on a 2-loop circuit to find current in a specific branch.
- Trap Alert
Loop rule me sign convention galat lagana (Current ki direction me potential drop $-IR$ hota hai).
- Derivation
Average Power in AC Circuit ($P = V_{rms} I_{rms} \cos\phi$). Prove that power dissipated in purely inductive/capacitive circuit is zero.
$$ P_{avg} = V_{rms} I_{rms} \cos\phi $$
- Application
Biot-Savart Law se circular coil ke center par magnetic field ka derivation ya numerical.
- Trap Alert
AC Power derivation me Integration limits ($0$ to $T$) sahi se solve na karna aur $\cos\phi$ ka concept miss karna.
- Concept+Proof
Huygens' Principle: Prove laws of Reflection or Refraction ($\mu = \sin i / \sin r$) using wavefronts. (UP Board ka favourite).
- Derivation
YDSE (Young's Double Slit Experiment) me Fringe Width ($\beta = \lambda D / d$) ka derivation.
$$ \beta = \frac{\lambda D}{d} $$
- Trap Alert
Huygens ke proof me Wavefront aur Rays ke beech $90^\circ$ ka angle na dikhana. YDSE me path difference $\Delta x = d\sin\theta \approx y d/D$ ka step skip karna.
- Heavy Numerical
Bohr's model energy transitions. Find wavelength of emitted photon using Rydberg Formula.
$$ \frac{1}{\lambda} = R\left(\frac{1}{n_1^2} - \frac{1}{n_2^2}\right) $$
- Graph+Logic
Draw Binding Energy per nucleon curve. Explain Nuclear Fission & Fusion using this curve.
[Image of binding energy per nucleon curve]
- Trap Alert
Transition me longest wavelength (lowest energy gap) aur shortest wavelength (highest energy gap) ko properly identify na kar pana. Balmer series me minimum gap $n=3 \rightarrow 2$ hota hai.