Hsc Physics Formula Sheet for Maharashtra Class 12

Use the 16-chapter checklist below to revise Maharashtra HSC Physics by formula, SI unit, use case, and common mistake. Start with the official Balbharati Class XII Physics text, then use this sheet to test whether you can apply each formula without copying it.

A formula sheet works only when you can answer three things: “What does this calculate?”, “What unit should the answer have?”, and “What error will I avoid?”

HSC Physics Formula Sheet by Chapter

The published Balbharati text follows these 16 Class XII Physics chapters. Keep this checklist beside your textbook, not instead of it.

Rotational Dynamics

• Formula: (\tau=I\alpha), output in newton metre, N m.
  Use it for: torque that produces angular acceleration.
  Common mistake: using mass (m) where moment of inertia (I) is required.

• Formula: (L=I\omega), output in kg m² s⁻¹.
  Use it for: angular momentum of a rotating body.
  Common mistake: writing linear velocity (v) instead of angular velocity (\omega).

• Formula: (K=\frac12I\omega^2), output in joule, J.
  Use it for: rotational kinetic energy.
  Common mistake: forgetting that (\omega) is squared.

Mechanical Properties of Fluids

• Formula: (P=P_0+\rho gh), output in pascal, Pa.
  Use it for: pressure at a depth in a liquid.
  Common mistake: using depth in centimetres instead of metres.

• Formula: (A_1v_1=A_2v_2).
  Use it for: continuity of incompressible fluid flow.
  Common mistake: using diameter directly instead of converting it to area.

• Formula: (F_b=\rho Vg), output in newton, N.
  Use it for: buoyant force on an immersed object.
  Common mistake: using the object’s density instead of fluid density.

Kinetic Theory of Gases and Radiation

• Formula: (p=\frac13\rho v_\mathrm{rms}^2), output in Pa.
  Use it for: pressure of an ideal gas from density and rms speed.
  Common mistake: squaring (\rho) instead of (v_\mathrm{rms}).

• Formula: (v_\mathrm{rms}=\sqrt{3RT/M}), output in m s⁻¹.
  Use it for: rms speed from temperature and molar mass.
  Common mistake: leaving molar mass in g mol⁻¹. Convert it to kg mol⁻¹.

• Formula: (P=\epsilon\sigma AT^4), output in watt, W.
  Use it for: power radiated by a body.
  Common mistake: using Celsius temperature. Use kelvin.

Thermodynamics

• Formula: (Q=\Delta U+W), output in J.
  Use it for: heat, internal energy, and work calculations.
  Common mistake: changing the work sign convention halfway through the answer.

• Formula: (PV^\gamma=\text{constant}).
  Use it for: a reversible adiabatic process.
  Common mistake: applying it to every gas process.

• Formula: (\eta=1-\frac{T_c}{T_h}).
  Use it for: Carnot engine efficiency.
  Common mistake: using Celsius temperatures.

Oscillations

• Formula: (T=2\pi\sqrt{m/k}), output in second, s.
  Use it for: a spring-mass oscillator.
  Common mistake: using amplitude in this period formula.

• Formula: (T=2\pi\sqrt{l/g}), output in s.
  Use it for: a simple pendulum at small angular displacement.
  Common mistake: entering pendulum length in centimetres.

• Formula: (a=-\omega^2x), output in m s⁻².
  Use it for: acceleration in simple harmonic motion.
  Common mistake: dropping the negative sign.

Superposition of Waves

• Formula: (v=f\lambda), output in m s⁻¹.
  Use it for: wave speed, frequency, or wavelength.
  Common mistake: mixing (\omega), angular frequency, with (f), ordinary frequency.

• Formula: (f_\text{beats}=|f_1-f_2|), output in hertz, Hz.
  Use it for: beat frequency between close frequencies.
  Common mistake: adding the two frequencies.

Wave Optics

• Formula: (\beta=\lambda D/d), output in m.
  Use it for: fringe width in Young’s double-slit experiment.
  Common mistake: mixing mm, cm, and m in one substitution.

• Formula: (d\sin\theta=n\lambda).
  Use it for: interference conditions.
  Common mistake: using (n=0) for the first bright fringe.

Electrostatics

• Formula: (F=\frac{1}{4\pi\epsilon_0}\frac{q_1q_2}{r^2}), output in N.
  Use it for: force between two point charges.
  Common mistake: forgetting to square separation (r).

• Formula: (C=Q/V), output in farad, F.
  Use it for: capacitance.
  Common mistake: using charge in microcoulomb without converting it.

• Formula: (U=\frac12CV^2), output in J.
  Use it for: energy stored in a capacitor.
  Common mistake: forgetting the square on potential difference.

Current Electricity

• Formula: (V=IR), output in volt, V.
  Use it for: potential difference, current, or resistance.
  Common mistake: treating a resistor network as one resistor before simplifying it.

• Formula: (R=\rho l/A), output in ohm, Ω.
  Use it for: resistance of a wire.
  Common mistake: leaving cross-sectional area in mm².

• Formula: (P=VI=I^2R=V^2/R), output in W.
  Use it for: electrical power.
  Common mistake: choosing a version that uses a quantity not given.

Magnetic Fields Due to Electric Current

• Formula: (F=qvB\sin\theta), output in N.
  Use it for: magnetic force on a moving charged particle.
  Common mistake: omitting (\sin\theta).

• Formula: (F=BIl\sin\theta), output in N.
  Use it for: force on a current-carrying conductor.
  Common mistake: using wire length outside the magnetic field.

• Formula: (B=\mu_0I/(2\pi r)), output in tesla, T.
  Use it for: field near a long straight conductor.
  Common mistake: entering radial distance in centimetres.

Magnetic Materials

• Formula: (\tau=mB\sin\theta), output in N m.
  Use it for: torque on a magnetic dipole.
  Common mistake: confusing magnetic moment (m) with mass.

• Formula: (m=IA), output in A m².
  Use it for: magnetic moment of a current loop.
  Common mistake: using loop diameter where area is needed.

Electromagnetic Induction and AC Circuits

• Formula: (\varepsilon=-N,d\Phi/dt), output in V.
  Use it for: induced emf from changing magnetic flux.
  Common mistake: ignoring the negative sign and Lenz’s law.

• Formula: (\Phi=BA\cos\theta), output in weber, Wb.
  Use it for: magnetic flux through a surface.
  Common mistake: using the angle with the plane instead of the normal.

• Formula: (I_\mathrm{rms}=I_0/\sqrt2), output in A.
  Use it for: RMS current in AC.
  Common mistake: confusing peak value with RMS value.

• Formula: (X_L=\omega L), (X_C=1/\omega C), output in Ω.
  Use it for: inductive and capacitive reactance.
  Common mistake: using (f) where (\omega=2\pi f) is needed.

Dual Nature, Atoms, Nuclei, and Semiconductors

• Formula: (E=hf=hc/\lambda), output in J.
  Use it for: photon energy.
  Common mistake: mixing electron-volt and joule.

• Formula: (\lambda=h/p), output in m.
  Use it for: de Broglie wavelength.
  Common mistake: using mass without multiplying by velocity.

• Formula: (N=N_0e^{-\lambda t}).
  Use it for: radioactive decay.
  Common mistake: confusing decay constant (\lambda) with wavelength.

• Formula: (T_{1/2}=0.693/\lambda), output in the same time unit as (\lambda^{-1}).
  Use it for: half-life calculations.
  Common mistake: writing (0.693\lambda).

• Formula: (I=nqAv_d), output in A.
  Use it for: semiconductor drift current.
  Common mistake: missing the carrier charge (q).

The official SCERT answer guide is useful after you attempt a numerical. Compare your method, unit, and final answer with its worked solution.

Use the Sheet Before a Chapter Test

Spend 20 minutes on the chapter you will test next.

1. Recall for 6 minutes. Cover the “use it for” and “common mistake” lines. Write formulas from memory.
2. Solve for 8 minutes. Pick 3 textbook or question-bank numericals. Change at least one given value in each question.
3. Check for 4 minutes. Circle every wrong unit, missing sign, or formula chosen too early.
4. Log for 2 minutes. Write one sentence: “I confuse ___ with ___.” Revise that pair first tomorrow.

A formula you can copy is not yet a formula you can use. A formula becomes reliable after you select it from a question, substitute SI values, and finish with the correct unit.

For a wider chapter checklist, use our Maharashtra HSC Physics revision tracker.

Units and Conversions That Lose Marks

Write the unit beside every final numerical answer. That one habit catches many wrong substitutions before you submit the paper.

• Convert centimetres to metres before using (r), (l), (\lambda), or depth.
• Convert mm² to m² before using (R=\rho l/A).
• Convert g mol⁻¹ to kg mol⁻¹ before using gas-speed formulas.
• Convert microcoulomb, nanofarad, and millihenry into SI prefixes before substitution.
• Use kelvin for radiation and thermodynamics temperatures.
• Use radians in formulas containing angular frequency unless the question gives a suitable conversion.

The textbook and SCERT Physics material show why a written solution needs both method and unit, not only a final number.

Turn Formulas into Numerical Practice

Use the same six-line order for every board-style numerical:

1. Write the given values with units.
2. Convert every value to SI units.
3. Draw a circuit, ray diagram, force diagram, or labelled system where useful.
4. State the governing formula before inserting numbers.
5. Substitute values with units visible.
6. Write the final answer with its unit and a sensible sign or direction.

Use the official HSC Physics sample-paper directory for Board-format practice. A question paper reveals whether you can present a solution clearly under exam conditions.

Readers preparing for both exams can follow our Boards and CET chapter plan. Learn the written HSC method first, then practise recognising the same relationship in timed MCQs.

What About HSC Physics Paper 1 and Paper 2 PDFs?

Search results for “hsc physics 1st paper pdf” and “hsc physics 2nd paper book pdf” often mix Maharashtra material with other boards. The official Maharashtra HSC sample-paper directory lists Physics as subject code 54, so use your school’s test instructions for any local Paper 1 or Paper 2 label.

Keep one 16-chapter formula sheet. Then make a shorter test sheet containing only the chapters your school has completed. That prevents a generic PDF from sending you into chapters outside your next test.

When a Formula Sheet Is Not Enough

Move beyond formula revision when you face one of these problems:

• You cannot decide which formula a question needs.
• You repeat the same unit or sign error after correcting it.
• You cannot write a derivation or numerical method without seeing the textbook.
• You solve examples slowly but cannot finish fresh questions.

Start with worked examples and one written solution per weak formula. For help choosing between self-study and structured support, read our HSC Physics support guide.

FAQs

Can I Use This Formula Sheet for HSC Physics Past Papers?

Yes. Use the sheet before each past-paper session, then mark every question where you chose the wrong relationship. Add that error beside the formula, not in a separate notebook you will stop opening.

Should I Memorise Every Constant in HSC Physics?

Memorise the constants your textbook and classroom work repeatedly use, along with their units. Keep a small constants strip at the bottom of your printout for values such as (g), (c), (h), (e), and (\epsilon_0).

Can a Formula Sheet Replace Derivations?

No. A formula sheet helps you recall and apply relationships quickly. Derivations still need their own written practice because Board answers assess the steps, symbols, and diagrams that lead to the result.

Can I Use the Same Sheet for MHT-CET?

Yes, for formula recall and units. MHT-CET then needs an extra step: timed MCQs that change values, diagrams, and answer options. Our worked-examples guide shows how to make that transition.

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