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Maharashtra HSC Physics Board Paper March 2025 with Solutions

Written board papers. Physics and Chemistry: 70 marks, 3 hours. Mathematics & Statistics: 80 marks, 3 hours.

2025, March 180 minutes 70 marks Save WhatsApp

Sections

Section A : Q.1 Multiple choice questions (10 marks) 10 questions
Section A : Q.2 Very short answer questions (8 marks) 8 questions
Section B : Attempt any eight, Q.3 to Q.14 (16 marks) 12 questions
Section C : Attempt any eight, Q.15 to Q.26 (24 marks) 12 questions
Section D : Attempt any three, Q.27 to Q.31 (12 marks) 5 questions

About this paper

This is the Maharashtra State Board (MSBSHSE) HSC (Class 12) Science Physics (54) board paper of the February–March 2025 examination (Day 06). The paper code printed on the question paper is J-287. The questions are transcribed from the board’s own printed question paper published on its website; formulas are written out and diagrams asked for are described in words. The answers are original answers written by Doubtly, worked out independently; they are not the board’s official model answers.

Paper pattern

Maximum marks 70, time 3 hours, four sections. Section A: Q.1 has ten MCQs (1 mark each) and Q.2 has eight very short answer questions (1 mark each), 18 marks, all compulsory. Section B: Q.3 to Q.14, twelve 2-mark questions, attempt any eight (16 marks). Section C: Q.15 to Q.26, twelve 3-mark questions, attempt any eight (24 marks). Section D: Q.27 to Q.31, five 4-mark questions, attempt any three (12 marks). Log tables are allowed, calculators are not. The physical constants printed on the paper include \(h = 6.63\times10^{-34}\) J s, \(c = 3\times10^8\) m/s, \(\pi = 3.142\), \(g = 9.8\) m/s\(^2\), \(\varepsilon_0 = 8.85\times10^{-12}\) C\(^2\)/N m\(^2\), \(\mu_0 = 4\pi\times10^{-7}\) Wb/A m, \(\sigma = 5.67\times10^{-8}\) W/m\(^2\)K\(^4\), 1 atm \(= 1.013\times10^5\) N/m\(^2\) and \(R = 8.319\) J/mol K.

How to use it

Attempt the paper in one 3-hour sitting without a calculator, choosing questions as the board allows (any eight in B and C, any three in D). Then compare with the model answers: check the formula, the substitution with units and the final answer for each numerical, and the steps and labelled diagram for each derivation.

FAQs

Is this the official board paper?

Yes, the questions are from the board’s March 2025 Physics paper (J-287). The solutions are Doubtly’s own model answers, not an official answer key.

How many questions must I answer in Section D?

Any three of the five 4-mark questions (Q.27 to Q.31), for 12 marks.

Chapters covered

Instructions

Solve on paper with a timer, then check against the solutions. Sections: A (MCQ and very short answers), B (short answers, attempt any 8 of 12), C (attempt any 8 of 12), D (long answers with choice).

Section A : Q.1 Multiple choice questions (10 marks)

  1. Q.1 (i) “If two systems are each in thermal equilibrium with a third system, they are also in thermal equilibrium with each other.” This statement refers to :

    1. (A) zeroth law of thermodynamics
    2. (B) first law of thermodynamics
    3. (C) second law of thermodynamics
    4. (D) Carnot’s law
    1 mark See answer →

  2. Q.1 (ii) In Bernoulli’s theorem, which of the following is constant?

    1. (A) Linear momentum
    2. (B) Angular momentum
    3. (C) Mass
    4. (D) Energy
    1 mark See answer →

  3. Q.1 (iii) Which of the following materials belongs to diathermanous substance?

    1. (A) wood
    2. (B) iron
    3. (C) glass
    4. (D) copper
    1 mark See answer →

  4. Q.1 (iv) Electric potential ‘V’ at a distance ‘r’ from a point charge is directly proportional to _____.

    1. (A) \(r\)
    2. (B) \(r^2\)
    3. (C) \(\dfrac{1}{r}\)
    4. (D) \(\dfrac{1}{r^2}\)
    1 mark See answer →

  5. Q.1 (v) Which of the following equations gives correct expression for the internal resistance of a cell by using potentiometer?

    1. (A) \(r = R\left(\dfrac{V}{E} - 1\right)\)
    2. (B) \(r = R\left(1 - \dfrac{E}{V}\right)\)
    3. (C) \(r = R\left(1 - \dfrac{V}{E}\right)\)
    4. (D) \(r = R\left(\dfrac{E}{V} - 1\right)\)
    1 mark See answer →

  6. Q.1 (vi) An electron, a proton, an \(\alpha\)-particle and a hydrogen atom are moving with the same kinetic energy. The associated de-Broglie wavelength will be longest for –

    1. (A) proton
    2. (B) electron
    3. (C) hydrogen atom
    4. (D) \(\alpha\)-particle
    1 mark See answer →

  7. Q.1 (vii) The gate which produces high output, when its both inputs are high is –

    1. (A) X-OR gate
    2. (B) AND gate
    3. (C) NAND gate
    4. (D) NOR gate
    1 mark See answer →

  8. Q.1 (viii) The power rating of a ceiling fan rotating with a constant torque of 2 Nm with an angular speed of \(2\pi\) rad/s will be _____.

    1. (A) \(\pi\) W
    2. (B) \(2\pi\) W
    3. (C) \(3\pi\) W
    4. (D) \(4\pi\) W
    1 mark See answer →

  9. Q.1 (ix) A string of length 2 m is vibrating with 2 loops. The distance between its node and adjacent antinode is _____.

    1. (A) 0.5 m
    2. (B) 1.0 m
    3. (C) 1.5 m
    4. (D) 2.0 m
    1 mark See answer →

  10. Q.1 (x) A transformer increases an alternating e.m.f. from 220V to 880V. If primary coil has 1000 turns, the number of turns in the secondary coil are _____.

    1. (A) 1000
    2. (B) 2000
    3. (C) 3000
    4. (D) 4000
    1 mark See answer →

Section A : Q.2 Very short answer questions (8 marks)

  1. Q.2 (i) At what temperature the surface tension of a liquid becomes zero?

    1 mark See answer →

  2. Q.2 (ii) Define self inductance.

    1 mark See answer →

  3. Q.2 (iii) What is the work done by an external uniform magnetic field perpendicular to the velocity of a moving charge?

    1 mark See answer →

  4. Q.2 (iv) What do you mean by a thermodynamic system?

    1 mark See answer →

  5. Q.2 (v) What is value of B called, when H = 0 is in the hysteresis loop?

    1 mark See answer →

  6. Q.2 (vi) State the formula for angle of banking.

    1 mark See answer →

  7. Q.2 (vii) Calculate the electric field intensity at a point just near the surface of a charged plane sheet, measured from its mid-point. [\(\sigma\) = 8.85 \(\mu\)C/m\(^2\)]

    1 mark See answer →

  8. Q.2 (viii) Find kinetic energy of 1 litre of an ideal gas at S.T.P.

    1 mark See answer →

Section B : Attempt any eight, Q.3 to Q.14 (16 marks)

  1. Q.3 Explain harmonics and overtones.

    2 marks See answer →

  2. Q.4 Using Newton’s law of viscosity for streamline flow, derive an expression for coefficient of viscosity.

    2 marks See answer →

  3. Q.5 State the formula for magnetic induction produced by a current in a circular arc of a wire. Hence find the magnetic induction at the centre of a current carrying circular loop.

    2 marks See answer →

  4. Q.6 State and prove the law of conservation of angular momentum.

    2 marks See answer →

  5. Q.7 State any four advantages of light emitting diode (LED).

    2 marks See answer →

  6. Q.8 Calculate the energy radiated in one minute by a perfectly black body of surface area 200 cm\(^2\) when it is maintained at 127ºC.

    2 marks See answer →

  7. Q.9 Two coils having self inductances 60 mH each, are coupled with each other. If the coefficient of coupling is 0.75, calculate the mutual inductance between them.

    2 marks See answer →

  8. Q.10 In a series LCR circuit, if resistance, inductive reactance and capacitive reactance are 3 \(\Omega\), 8 \(\Omega\) and 4 \(\Omega\) respectively, calculate phase difference between voltage and current.

    2 marks See answer →

  9. Q.11 State the advantages of a potentiometer over a voltmeter.

    2 marks See answer →

  10. Q.12 Draw a neat and labelled circuit diagram for a full wave rectifier.

    2 marks See answer →

  11. Q.13 A body of mass 0.8 kg performs linear S.H.M. It experiences a restoring force of 0.4N, when its displacement from mean position is 4 cm. Determine Force constant and Period of S.H.M.

    2 marks See answer →

  12. Q.14 A gas of 0.5 mole at 300 K expands isothermally from an initial volume of 2.0 litre to a final volume of 6.0 litre. What is the work done by gas?

    2 marks See answer →

Section C : Attempt any eight, Q.15 to Q.26 (24 marks)

  1. Q.15 Obtain an expression for the period of a bar magnet vibrating in a uniform magnetic field, performing S.H.M.

    3 marks See answer →

  2. Q.16 In a thermodynamic system, define – (a) Mechanical equilibrium (b) Chemical equilibrium and (c) Thermal equilibrium

    3 marks See answer →

  3. Q.17 What is Brewster’s law? Derive the formula for Brewster’s angle.

    3 marks See answer →

  4. Q.18 Derive an expression for law of radioactive decay. Define one becquerel (Bq).

    3 marks See answer →

  5. Q.19 State and prove Kirchhoff’s law of heat radiation.

    3 marks See answer →

  6. Q.20 Obtain an expression for practical determination of end correction – (i) for a pipe open at both ends and (ii) for a pipe closed at one end.

    3 marks See answer →

  7. Q.21 A conducting bar is rotating with constant angular speed around a pivot at one end in a uniform magnetic field perpendicular to its plane of rotation. Obtain an expression for the rotational e.m.f. induced between the ends of the bar.

    3 marks See answer →

  8. Q.22 An electron in hydrogen atom stays in its second orbit for 10\(^{-8}\) s. How many revolutions will it make around the nucleus in that time? [Given : e = 1.6 \(\times\) 10\(^{-19}\) C, m = 9.1 \(\times\) 10\(^{-31}\) kg]

    3 marks See answer →

  9. Q.23 A flywheel of a motor has mass 100 kg and radius 1.5 m. The motor develops a constant torque of 2000 Nm. The flywheel starts rotating from rest. Calculate the work done during the first 4 revolutions.

    3 marks See answer →

  10. Q.24 A galvanometer has a resistance of 50 \(\Omega\) and a current of 2 mA is needed for its full scale deflection. Calculate resistance required to convert it, (i) into an ammeter of 0.5 A range. (ii) into a voltmeter of 10 V range.

    3 marks See answer →

  11. Q.25 Diameter of a water drop is 0.6 mm. Calculate the pressure inside a liquid drop. (T = 72 dyne/cm, atmospheric pressure = 1.013 \(\times\) 10\(^5\) N/m\(^2\))

    3 marks See answer →

  12. Q.26 A solenoid of length \(\pi\) m and 5 cm in diameter has a winding of 1000 turns and carries a current of 5A. Calculate the magnetic field at its centre along the axis.

    3 marks See answer →

Section D : Attempt any three, Q.27 to Q.31 (12 marks)

  1. Q.27 What is Ferromagnetism? Explain it on the basis of domain theory.

    4 marks See answer →

  2. Q.28 Obtain an expression for average power dissipated in a series LCR circuit.

    4 marks See answer →

  3. Q.29 Distinguish between interference and diffraction of light. A double slit arrangement produces interference fringes for sodium light of wavelength 589 nm, that are 0.20 degree apart. What is the angular fringe separation if the entire arrangement is immersed in water? (R.I. of water = 1.33)

    4 marks See answer →

  4. Q.30 State Einstein’s photoelectric equation and mention physical significance of each term involved in it. The wavelength of incident light is 4000Å. Calculate the energy of incident photon.

    4 marks See answer →

  5. Q.31 State any four uses of Van de Graaff generator. In a parallel plate air capacitor, intensity of electric field is changing at the rate of 2 \(\times\) 10\(^{11}\) V/ms. If area of each plate is 20 cm\(^2\), calculate the displacement current.

    4 marks See answer →