Maharashtra HSC Physics Board Paper March 2026 with Solutions

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

2026, 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 actual Maharashtra State Board (MSBSHSE) HSC (Class 12) Science Physics (54) board paper of the February–March 2026 examination (Day 06). The paper code printed on the question paper is J-137. The questions are transcribed in full from the board’s own printed question paper as published in the AglaSem Docs archive (‘MH 12th Question Paper March 2026 Physics’); figures and diagrams asked for are described in words. The model answers are original Doubtly answers, worked out and checked independently, not the board’s official answer key.

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 are \(h = 6.63\times10^{-34}\) 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\(^2\) and \(\mu_0 = 4\pi\times10^{-7}\) Wb/A m.

How to use it

Attempt the paper in one 3-hour sitting without a calculator, choosing questions the way 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 2026 Physics paper (J-137). The solutions are Doubtly’s own model answers; the board does not publish a full 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.

Why is Q.7 answered as 12.57 W?

The fan reaches 60 r.p.m. in \(2\pi\) seconds, so \(\alpha = 1\) rad/s\(^2\) and \(\tau = 2\) N m. Power rating is taken as torque × angular speed at the working speed of the fan, \(P = \tau\omega = I\alpha\omega\), which gives \(4\pi \approx 12.57\) W. The note in the solution explains the other value some students get.

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)

Q.1 (i) When a number of droplets coalesce to form a single drop, the total surface area of the drop _____.
1. (A) decreases
2. (B) becomes zero
3. (C) remains same
4. (D) increases
1 mark See answer →
Q.1 (ii) In an ideal gas, molecules possess _____.
1. (A) only kinetic energy
2. (B) both kinetic energy and potential energy
3. (C) only potential energy
4. (D) neither kinetic energy nor potential energy
1 mark See answer →
Q.1 (iii) If the frequency of incident radiation is increased above threshold frequency, keeping intensity and potential constant then the photoelectric current _____.
1. (A) decreases
2. (B) becomes zero
3. (C) remains same
4. (D) increases
1 mark See answer →
Q.1 (iv) The process in which heat is neither absorbed nor released by a system is called _____.
1. (A) isobaric
2. (B) isochoric
3. (C) isothermal
4. (D) adiabatic
1 mark See answer →
Q.1 (v) The period of conical pendulum in terms of its length \((l)\), semi-vertical angle \((\theta)\) and acceleration due to gravity \((g)\) is _____.
1. (A) \(\dfrac{1}{2\pi}\sqrt{\dfrac{l\cos\theta}{g}}\)
2. (B) \(\dfrac{1}{2\pi}\sqrt{\dfrac{l\sin\theta}{g}}\)
3. (C) \(4\pi\sqrt{\dfrac{l\cos\theta}{4g}}\)
4. (D) \(4\pi\sqrt{\dfrac{l\tan\theta}{g}}\)
1 mark See answer →
Q.1 (vi) A conducting rod of length \(l\), rotates about one of its ends in a uniform magnetic field \(B\), with a constant angular velocity \(\omega\). If the plane of rotation is perpendicular to \(B\), the e.m.f. induced between the ends of rod is _____.
1. (A) \(\dfrac{1}{2}B\omega l^2\)
2. (B) \(B\omega l^2\)
3. (C) \(2B\omega l^2\)
4. (D) \(B\omega l\)
1 mark See answer →
Q.1 (vii) A metal surface is illuminated by photons of energy 5 eV and 2.5 eV respectively. The ratio of their wavelengths of emitted radiation is _____.
1. (A) 1 : 4
2. (B) 1 : 2
3. (C) 2 : 1
4. (D) 4 : 1
1 mark See answer →
Q.1 (viii) A particle is subjected to two parallel S.H.M.s such that \(x = 2\sin\omega t\) and \(y = 2\sin\left(\omega t + \dfrac{\pi}{3}\right)\). The amplitude of the resultant S.H.M. will be _____.
1. (A) 0
2. (B) \(2\sqrt{3}\)
3. (C) 4
4. (D) 12
1 mark See answer →
Q.1 (ix) A bar magnet of magnetic moment 10 A m\(^2\) has a cross-sectional area of \(2.5 \times 10^{-4}\) m\(^2\). If the intensity of magnetisation of magnet is \(10^6\) A/m, the length of the bar magnet is _____.
1. (A) 2 cm
2. (B) 4 cm
3. (C) 6 cm
4. (D) 8 cm
1 mark See answer →
Q.1 (x) In series LCR circuit for \(X_L > X_C\), \(\tan\phi\) will be _____.
1. (A) negative
2. (B) zero
3. (C) positive
4. (D) infinity
1 mark See answer →

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

Q.2 (i) State the formula for electric field intensity due to uniformly charged spherical shell.

1 mark See answer →
Q.2 (ii) Name an instrument for measurement of e.m.f. of a cell.

1 mark See answer →
Q.2 (iii) Calculate the magnitude of force experienced by a stationary charge exposed to uniform magnetic field.

1 mark See answer →
Q.2 (iv) Which property of bar magnet is used in navigation?

1 mark See answer →
Q.2 (v) In Young’s double slit experiment, width of the two slits are in the ratio 25 : 1. Calculate the ratio of amplitudes.

1 mark See answer →
Q.2 (vi) What is beta plus decay?

1 mark See answer →
Q.2 (vii) If the tension in sonometer wire is increased by 21%, compare the initial frequency with the later.

1 mark See answer →
Q.2 (viii) Define second’s pendulum.

1 mark See answer →

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

Q.3 What are Eddy currents? State its two applications.

2 marks See answer →
Q.4 State any two sources of error in meter bridge experiment. Explain how they can be minimised.

2 marks See answer →
Q.5 Draw a ray diagram showing position of virtual sources and region of interference in biprism experiment.

2 marks See answer →
Q.6 Derive an expression for radius of nth Bohr orbit.

2 marks See answer →
Q.7 A ceiling fan has moment of inertia of 2 kg m\(^2\). It attains maximum frequency of 60 r.p.m. in \(2\pi\) seconds. Calculate its power rating.

2 marks See answer →
Q.8 An electric dipole consists of two unlike charges of magnitude \(2 \times 10^{-6}\) C each and separated by 4 cm. The dipole is placed in an external electric field of \(10^5\) N/C. Calculate the work done by an external agent to turn the dipole through 180º.

2 marks See answer →
Q.9 Derive an expression for the magnetic field produced by a current in a circular arc of a wire using Biot-Savart law.

2 marks See answer →
Q.10 State advantages and disadvantages of photodiode.

2 marks See answer →
Q.11 Distinguish between harmonics and overtones. [Any Two points]

2 marks See answer →
Q.12 A steel ball with radius 0.3 mm is falling with velocity of 2 m/s through a tube filled with glycerine. Calculate viscous force acting on the steel ball. [ Given : \(\eta_{\text{glycerine}} = 0.833\) N s/m\(^2\) ]

2 marks See answer →
Q.13 Calculate the temperature at which the average kinetic energy of a molecule of a gas will be same as that of an electron accelerated through 1 volt. [ Given: \(k_B = 1.4 \times 10^{-23}\) J/K, \(e = 1.6 \times 10^{-19}\) C ]

2 marks See answer →
Q.14 An inductor of inductance 200 mH is connected to an A.C. source of peak e.m.f. 220 V and frequency 50 Hz. Calculate the peak current in the circuit.

2 marks See answer →

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

Q.15 In thermodynamics, define : (a) Mechanical equilibrium (b) Chemical equilibrium (c) Thermal equilibrium

3 marks See answer →
Q.16 Derive an expression for resonant frequency of series resonant circuit.

3 marks See answer →
Q.17 Obtain an expression for period of a bar magnet vibrating in a uniform magnetic field and performing angular S.H.M.

3 marks See answer →
Q.18 Define magnetization. State its S.I. unit and dimensions. What is the relation between permeability and magnetic susceptibility?

3 marks See answer →
Q.19 Derive an expression for electric potential due to a point charge.

3 marks See answer →
Q.20 Obtain an expression for the de-Broglie wavelength associated with an electron accelerated from rest through a potential difference of ‘V’ volts.

3 marks See answer →
Q.21 With a neat circuit diagram, explain the working of a full wave rectifier. Draw input–output waveforms.

3 marks See answer →
Q.22 The string of a guitar is 80 cm long and has a fundamental frequency of 112 Hz. If a guitarist wishes to produce a frequency of 160 Hz, where should he press the string?

3 marks See answer →
Q.23 0.5 mole of an ideal gas at 300 K, expands isothermally from an initial volume of 2 L to a final volume of 6 L. Calculate : (a) work done by the gas (b) heat supplied to the gas [ Given : R = 8.31 J mol\(^{-1}\) K\(^{-1}\) ]

3 marks See answer →
Q.24 A galvanometer has a resistance of 40 \(\Omega\) and a current of 4 mA is needed for full scale deflection. What is the resistance and how is it to be connected to convert the galvanometer (a) into an ammeter of 0.4 A range and (b) into a voltmeter of 5 V range?

3 marks See answer →
Q.25 A coaxial cable consists of a central conducting core wire of radius ‘a’ and a coaxial cylindrical outer conductor of radius ‘b’. The two conductors carry equal current in opposite directions, in and out of the plane of the paper. What will be the magnitude of magnetic induction B for (i) \(a < r < b\) and (ii) \(b < r\) ? What will be its direction? where ‘r’ is the radius of the Ampere’s circular loop.

3 marks See answer →
Q.26 Energy of an electron in second Bohr orbit is –3.4 eV. Calculate its kinetic energy and potential energy in third Bohr orbit.

3 marks See answer →

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

Q.27 Derive Laplace’s law for spherical membrane of bubble due to surface tension.

4 marks See answer →
Q.28
Obtain an expression for maximum safety speed with which a vehicle should move along a curved horizontal road.
Moment of intertia of a solid sphere about its diameter is 25 kg m\(^2\). Calculate its moment of inertia about a tangent.

4 marks See answer →
Q.29
Derive the relation between coefficient of absorption, coefficient of reflection and coefficient of transmission.
Compare the r.m.s. speed of hydrogen molecule at 127ºC with r.m.s. speed of oxygen molecule at 27ºC, given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.

4 marks See answer →
Q.30
Define : (i) Self inductance (ii) Mutual inductance
A conducting loop of area 1 m\(^2\) is placed normal to a uniform magnetic field of 3 Wb/m\(^2\). If the magnetic field is uniformly reduced to 1 Wb/m\(^2\) in 0.5 second, calculate the induced e.m.f. produced in the coil.

4 marks See answer →
Q.31 Using analytical method, obtain an expression for the fringe width of two interfering waves.

4 marks See answer →