Skip to content
doubtly
Sign up

Maharashtra HSC Physics Board Paper July 2025 with Solutions

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

2025, July 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 July 2025 examination (supplementary exam, Day 04). The paper code printed on the question paper is J-339. 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 \(h=6.63\times10^{-34}\) J s, \(c=3\times10^8\) m/s, \(\pi=3.142\), \(g=9.8\) m/s2, \(\varepsilon_0=8.85\times10^{-12}\) C2/N m2, \(\mu_0=4\pi\times10^{-7}\) Wb/A m, \(m_e=9.11\times10^{-31}\) kg, \(m_p=1.672\times10^{-27}\) kg, Stefan’s constant \(\sigma=5.67\times10^{-8}\) J m–2 s–1 K–4 and Rydberg’s constant \(R_H=1.097\times10^7\) 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 July 2025 Physics paper (J-339). 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.1 (ix) answered as 250 when the options are in °C?

From \(\Delta P/P = \Delta T/T\), the initial temperature is 250 on the absolute (kelvin) scale. That is 250 K (−23°C). The printed options carry °C, so none is literally correct; option (b) is the intended answer.

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) For which of the following bodies, the principle of perpendicular axes is applicable?

    1. (A) Spherical
    2. (B) Conical
    3. (C) Cylindrical
    4. (D) Laminar
    1 mark See answer →

  2. Q.1 (ii) Which of the following equation represents a simple harmonic progressive wave travelling along the negative X-direction?

    1. (A) \(Y = a\sin(kx - \omega t)\)
    2. (B) \(Y = a\sin(kx + \omega t)\)
    3. (C) \(Y = a\sin(ky - \omega t)\)
    4. (D) \(Y = a\sin(ky + \omega t)\)
    1 mark See answer →

  3. Q.1 (iii) In a cyclotron final kinetic energy of a particle revolving in a circular path of radius \(R_{exit}\) is :

    1. (A) K.E. \(\propto R_{exit}\)
    2. (B) K.E. \(\propto R_{exit}^2\)
    3. (C) K.E. \(\propto \dfrac{1}{R_{exit}}\)
    4. (D) K.E. \(\propto \dfrac{1}{R_{exit}^2}\)
    1 mark See answer →

  4. Q.1 (iv) For which of the following metals, photoelectric effect is possible for visible radiation?

    1. (A) Zinc
    2. (B) Cadmium
    3. (C) Magnesium
    4. (D) Sodium
    1 mark See answer →

  5. Q.1 (v) The gyromagnetic ratio of electron is _______.

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

  6. Q.1 (vi) Two capillary tubes of radii 0.3 cm and 0.6 cm are dipped in the same liquid, the ratio of heights to which the liquid will rise in the tubes is _____.

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

  7. Q.1 (vii) Kirchhoff’s Voltage Law applied to a loop deals with the conservation of _____.

    1. (A) momentum
    2. (B) mass
    3. (C) energy
    4. (D) charge
    1 mark See answer →

  8. Q.1 (viii) How many times the intensity of an unpolarized light wave reduces after passing through a polarizer?

    1. (A) \(\dfrac{1}{2}\)
    2. (B) \(\dfrac{1}{4}\)
    3. (C) \(\dfrac{1}{6}\)
    4. (D) \(\dfrac{1}{8}\)
    1 mark See answer →

  9. Q.1 (ix) If pressure of gas contained in a closed vessel is increased by 0.4% when heated by 1°C, its initial temperature must be _____.

    1. (A) 200°C
    2. (B) 250°C
    3. (C) 300°C
    4. (D) 350°C
    1 mark See answer →

  10. Q.1 (x) The wavelength and power of the incident light is 4000 Å and 0.1 W respectively. The number of incident photons is _____.

    1. (A) \(2.011\times10^{17}\)
    2. (B) \(3.011\times10^{17}\)
    3. (C) \(4.011\times10^{17}\)
    4. (D) \(5.011\times10^{17}\)
    1 mark See answer →

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

  1. Q.2 (i) What is the velocity of a particle performing linear SHM, at extreme position?

    1 mark See answer →

  2. Q.2 (ii) What happens to the ferromagnetic substance when it is heated above Curie temperature?

    1 mark See answer →

  3. Q.2 (iii) What is the coefficient of transmission for athermanous materials?

    1 mark See answer →

  4. Q.2 (iv) In a photodiode, on which property the dark current depends?

    1 mark See answer →

  5. Q.2 (v) Define mutual inductance.

    1 mark See answer →

  6. Q.2 (vi) What is magnetization?

    1 mark See answer →

  7. Q.2 (vii) A metal ring of radius 20 cm is rotating about a transverse axis passing through its centre. What will be its radius of gyration about the same axis?

    1 mark See answer →

  8. Q.2 (viii) In a hydraulic lift, area of pistons are \(A_1\) and \(A_2\) respectively \((A_2 \gt\gt A_1)\). If force \(F_1\) is applied on piston 1, then what is the force exerted on piston 2?

    1 mark See answer →

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

  1. Q.3 Obtain an expression for moment of inertia of a uniform disc of mass ‘M’ and radius ‘R’ rotating about an axis passing through its centre and perpendicular to its plane.

    2 marks See answer →

  2. Q.4 What is the effect of impurities on surface tension of a liquid?

    2 marks See answer →

  3. Q.5 Explain the thermodynamics of adiabatic process to obtain adiabatic constant for rigid diatomic molecule of a gas?

    2 marks See answer →

  4. Q.6 Draw a neat labelled diagram of variation of kinetic energy and potential energy with displacement in S.H.M.

    2 marks See answer →

  5. Q.7 Assuming an equation of magnetic force due to arbitrarily shaped wire, obtain an expression for force on a closed circuit in a uniform magnetic field.

    2 marks See answer →

  6. Q.8 Distinguish between diamagnetic and paramagnetic substances.

    2 marks See answer →

  7. Q.9 State Faraday’s laws in electromagnetic induction.

    2 marks See answer →

  8. Q.10 In a purely resistive circuit a source of e.m.f. having \(e = 140\sin(3142t)\) is connected across a pure resistor. If value of rms current is 1.98 A, calculate the value of resistance.

    2 marks See answer →

  9. Q.11 The differential equation of linear S.H.M. in SI units is \(\dfrac{d^2x}{dt^2} = -36x\). Calculate its frequency and periodic time.

    2 marks See answer →

  10. Q.12 Two tuning forks having frequencies 160 Hz and 170 Hz are sounded together to produce sound waves. The velocity of sound in air is 326.4 ms–1. Calculate the difference between wavelengths of these waves.

    2 marks See answer →

  11. Q.13 What must be the ratio of the slit width to the wavelength for a single slit to have the first diffraction minimum at 45°?

    2 marks See answer →

  12. Q.14 A potential gradient of a wire is 0.5 V/m. If the e.m.f. of a cell balances against 216 cm of this potentiometer wire, calculate e.m.f. of the cell.

    2 marks See answer →

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

  1. Q.15 Obtain an expression for torque acting on a rigid body rotating with constant angular acceleration.

    3 marks See answer →

  2. Q.16 Define the terms –

    (a) Cohesive force
    (b) Range of molecular force
    (c) Sphere of influence

    3 marks See answer →

  3. Q.17 Show that only odd harmonics are present in the vibrations of air column in a pipe closed at one end.

    3 marks See answer →

  4. Q.18 Obtain an expression for the electric intensity at a point outside a uniformly charged spherical shell.

    3 marks See answer →

  5. Q.19 With the help of neat labelled circuit diagram explain the use of metre bridge to determine unknown resistance.

    3 marks See answer →

  6. Q.20 Derive an expression for the magnetic field produced at the centre of a circular arc of a wire carrying current I.

    3 marks See answer →

  7. Q.21 Derive the decay law of radioactivity and state SI unit of ‘activity.’

    3 marks See answer →

  8. Q.22 Find the shortest and longest wavelengths in the Lyman series of hydrogen atom.

    3 marks See answer →

  9. Q.23 The de-Broglie wavelengths associated with an electron and proton are same. Calculate the ratio of their momentum and kinetic energies.

    3 marks See answer →

  10. Q.24 A parallel plate capacitor is maintained at potential of 400 V. If area of plates is 40 cm2 and separation between plates is 40 mm, calculate displacement current in 1 µs.

    3 marks See answer →

  11. Q.25 A 120 watt filament lamp loses all its energy by radiation from its surface. The emissivity of the surface is 0.6. The area of the surface is \(3.53\times10^{-3}\) m2. Calculate the temperature of the filament.

    3 marks See answer →

  12. Q.26 A Carnot engine receives 4000 J of heat from a reservoir at 500 K, does some work, rejects 2000 J heat to reservoir at 200 K.

    (a) How much work does it do?
    (b) What is its efficiency?

    3 marks See answer →

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

  1. Q.27 Define isothermal process. Obtain an expression for work done during isothermal process. Draw P–V diagram.

    4 marks See answer →

  2. Q.28 Using phasor diagram for a series LCR circuit, obtain an expression for impedance. Define admittance.

    4 marks See answer →

  3. Q.29

    Obtain an expression for motional e.m.f. in a rotating bar with constant angular velocity ‘\(\omega\)’ in uniform magnetic field perpendicular to plane of rotation.

    The mutual inductance (M) of the two coils is 1.5 H. The self inductances of the coils are 5 H and 4 H. Calculate the coefficient of coupling between the coils.

    4 marks See answer →

  4. Q.30

    Define logic gate and explain why NOT gate is called an inverter.

    The transistor is in the common emitter configuration. Its DC current gain is 50. If collector current is 3 mA, calculate the base current.

    4 marks See answer →

  5. Q.31

    State the four conditions for obtaining well defined and steady interference pattern.

    Light incident at angle 52.5° on a bucket filled with water be completely polarised after reflection. Calculate the refractive index of the water.

    4 marks See answer →