Skip to content
doubtly
Sign up

Maharashtra HSC Physics Board Paper June 2026 with Solutions

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

2026, June 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 June 2026 examination (supplementary exam held on 19 June 2026). The paper code printed on the question paper is J-229. The questions are transcribed in full from the board’s own printed question paper published on its website; figures and diagrams asked for are described in words. The answers are original answers written by Doubtly, 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 are \(c=3\times10^8\) m/s, \(h=6.63\times10^{-34}\) J s, \(\pi=3.142\), \(\mu_0=4\pi\times10^{-7}\) Wb/A m, 1 eV \(=1.6\times10^{-19}\) J, \(\varepsilon_0=8.85\times10^{-12}\) C2/N m2 and Rydberg’s constant \(R=1.097\times10^7\) m–1.

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 June 2026 Physics paper (J-229). 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.

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) The MI of ring of radius ‘\(R\)’ and mass ‘\(M\)’ about its central axis is _____

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

  2. Q.1 (ii) For a monoatomic gas enclosed in a container at a constant temperature has degrees of freedom

    1. (A) 5
    2. (B) 3
    3. (C) 7
    4. (D) 4
    1 mark See answer →

  3. Q.1 (iii) The equation of the first law of thermodynamics for isochoric process is

    1. (A) \(Q=\Delta U\)
    2. (B) \(Q=0\)
    3. (C) \(Q=\Delta U+W\)
    4. (D) \(Q=\Delta U-W\)
    1 mark See answer →

  4. Q.1 (iv) Cyclotron can not accelerate _____

    1. (A) protons
    2. (B) \(\alpha\)-particles
    3. (C) neutrons
    4. (D) deuterons
    1 mark See answer →

  5. Q.1 (v) In a purely inductive and capacitive circuit, power factor is, _____

    1. (A) one
    2. (B) zero
    3. (C) infinity
    4. (D) 10
    1 mark See answer →

  6. Q.1 (vi) The Boolean equation for NOR gate is

    1. (A) \(Y=A\cdot B\)
    2. (B) \(Y=A+B\)
    3. (C) \(Y=\overline{A}\)
    4. (D) \(Y=\overline{A+B}\)
    1 mark See answer →

  7. Q.1 (vii) When n number of capacitors having each of capacity ‘\(C\)’ are connected in series, their equivalent capacity is

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

  8. Q.1 (viii) A polarising angle for an optical material is 35º. Then refractive index of the material is

    1. (A) 0.647
    2. (B) 0.7002
    3. (C) 0.7265
    4. (D) 0.7133
    1 mark See answer →

  9. Q.1 (ix) For a streamline flow, the relative velocity between the two liquid layers is 10 cm/s. The distance between them is 5 cm. The velocity gradient is

    1. (A) 3 S–1
    2. (B) 5 S–1
    3. (C) 4 S–1
    4. (D) 2 S–1
    1 mark See answer →

  10. Q.1 (x) The wavelength of a stationary wave on a string is 0.75 m with frequency of 64 Hz. Then, the velocity of wave is

    1. (A) 48 m/s
    2. (B) 50 m/s
    3. (C) 64 m/s
    4. (D) 60 m/s
    1 mark See answer →

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

  1. Q.2 (i) Absorption of ink by a blotting paper is an example of which phenomenon of fluids?

    1 mark See answer →

  2. Q.2 (ii) State Kirchhoff’s first law for electrical network.

    1 mark See answer →

  3. Q.2 (iii) Define ‘photoelectric work function.’

    1 mark See answer →

  4. Q.2 (iv) Which series of spectral lines belongs to the ultraviolet region of the hydrogen spectrum?

    1 mark See answer →

  5. Q.2 (v) Which semiconductor device converts solar energy into electrical energy?

    1 mark See answer →

  6. Q.2 (vi) Define the term wavefront.

    1 mark See answer →

  7. Q.2 (vii) A motorcyclist performs horizontal circular motion inside a well of inner radius 3 m. Calculate the minimum speed to perform the stunt if coefficient of static friction is 0.3. [\(g=10\) m/s2]

    1 mark See answer →

  8. Q.2 (viii) Calculate the maximum velocity of a particle having amplitude of oscillation 4 cm and period 4 seconds.

    1 mark See answer →

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

  1. Q.3 Obtain an expression for the maximum speed of a vehicle along horizontal circular curved road.

    2 marks See answer →

  2. Q.4 For a thermodynamic system :
    Define : (a) Mechanical equilibrium
    (b) Chemical equilibrium

    2 marks See answer →

  3. Q.5 What are polar molecules and non polar molecules?

    2 marks See answer →

  4. Q.6 Explain how will you convert moving coil galvanometer into voltmeter?

    2 marks See answer →

  5. Q.7 Distinguish between free and forced vibrations.

    2 marks See answer →

  6. Q.8 State any two postulates of Bohr’s theory of hydrogen atom.

    2 marks See answer →

  7. Q.9 Explain the cyclic process with the help of a neat \(p\)–\(V\) diagram.

    2 marks See answer →

  8. Q.10 A star is emitting light at the wavelength of 4000Å. Determine the limit of angular resolution of a telescope having an objective of diameter of 400 cm.

    2 marks See answer →

  9. Q.11 Calculate the value of \(\lambda_{max}\) for solar radiation assuming the temperature on the surface of the sun is 5800 K. [Wien’s constant \(=2.897\times10^{-3}\) m.k.]

    2 marks See answer →

  10. Q.12 Calculate the radius of water drop, so that the excess pressure inside it is 24 N/m2. [Surface tension of water \(=7.2\times10^{-2}\) N/m]

    2 marks See answer →

  11. Q.13 The susceptibility of magnetic material is \(\chi\) at 27ºC. At what temperature its susceptibility will be \(\chi/3\)?

    2 marks See answer →

  12. Q.14 An alternating voltage source given by \(e=140\sin(314.2\,t)\) is connected across a pure resistor of 50 \(\Omega\). Determine :
    (i) Frequency of the source.
    (ii) RMS value of emf.

    2 marks See answer →

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

  1. Q.15 State and prove perpendicular axes theorem.

    3 marks See answer →

  2. Q.16 On the basis of molecular theory, explain the phenomenon of surface tension.

    3 marks See answer →

  3. Q.17 Show that all harmonics are present in the case of an air column vibrating in a pipe open at both the ends.

    3 marks See answer →

  4. Q.18 What is interference of light? State any four conditions for obtaining well defined and steady interference pattern.

    3 marks See answer →

  5. Q.19 With the help of a neat circuit diagram, explain the working of a half wave rectifier. Draw input and output waveforms.

    3 marks See answer →

  6. Q.20 Obtain an expression for orbital magnetic moment of an electron revolving around the nucleus of an atom.

    3 marks See answer →

  7. Q.21 Define the terms :
    (a) Inductive reactance
    (b) Capacitive reactance
    (c) Impedance

    3 marks See answer →

  8. Q.22 A parallel plate capacitor filled with air has an area 6 cm2 and the plate separation is 2 mm. Calculate its capacity.

    3 marks See answer →

  9. Q.23 Two resistances \(X\) and \(Y\) in the two gaps of a meterbridge give a null point dividing the wire in the ratio 4 : 6. If both resistances are increased by 30 \(\Omega\), the null point divides the wire in the ratio 5 : 6. Calculate the value of X and Y.

    3 marks See answer →

  10. Q.24 Calculate the shortest wavelength of Paschen series and the longest wavelength of Balmer series for hydrogen atom.

    3 marks See answer →

  11. Q.25 Calculate the current flowing through two long parallel wires carrying equal currents and separated by a distance of 1.35 cm experiencing a force per unit length of \(4.76\times10^{-2}\) N/m.

    3 marks See answer →

  12. Q.26 An emf of 90 mV is induced in the winding of a coil, when current in a nearby coil is increasing at the rate of 4.5 A/s. What is the mutual inductance of the two coils?

    3 marks See answer →

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

  1. Q.27 Derive an expression for pressure exerted by a gas on the basis of kinetic theory of gases.

    4 marks See answer →

  2. Q.28 State differential equation of linear S.H.M. hence obtain an expression for acceleration, velocity and displacement of a particle performing S.H.M.

    4 marks See answer →

  3. Q.29 With the help of neat diagram explain construction of a transformer.
    Calculate energy required to build up current of 1A in an inductor of inductance 20 mH.

    4 marks See answer →

  4. Q.30 Draw a neat schematic diagram of a photo cell.
    The photoelectric work function for a metal is 4.2 eV. Find threshold wavelength.

    4 marks See answer →

  5. Q.31 Obtain an expression for magnetic induction of a toroid of N no. of turns about an axis passing through its centre and perpendicular to plane.
    A Carnot refrigerator operates between 150 K and 200 K, calculate its coefficient of performance.

    4 marks See answer →