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Maharashtra HSC Class 12 Physics February 2026 question paper

Maximum marks 70 · Time 3 hours

Try each question first, then open its model answer. Where the paper offers a choice, both questions are shown with OR between them.

Section A

1 mark each

  1. Q.1 (i)1 mark
    When a number of droplets coalesce to form a single drop, the total surface area of the drop _____.

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  2. Q.1 (ii)1 mark
    In an ideal gas, molecules possess _____.

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  3. Q.1 (iii)1 mark
    If the frequency of incident radiation is increased above threshold frequency, keeping intensity and potential constant then the photoelectric current _____.

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  4. Q.1 (iv)1 mark
    The process in which heat is neither absorbed nor released by a system is called _____.

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  5. Q.1 (v)1 mark
    The period of conical pendulum in terms of its length (l)(l), semi-vertical angle (θ)(\theta) and acceleration due to gravity (g)(g) is _____.

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  6. Q.1 (vi)1 mark
    A conducting rod of length ll, rotates about one of its ends in a uniform magnetic field BB, with a constant angular velocity ω\omega. If the plane of rotation is perpendicular to BB, the e.m.f. induced between the ends of rod is _____.

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  7. Q.1 (vii)1 mark
    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 _____.

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  8. Q.1 (viii)1 mark
    A particle is subjected to two parallel S.H.M.s such that x=2sin⁡ωtx = 2\sin\omega t and y=2sin⁡(ωt+π3)y = 2\sin\left(\omega t + \dfrac{\pi}{3}\right). The amplitude of the resultant S.H.M. will be _____.

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  9. Q.1 (ix)1 mark
    A bar magnet of magnetic moment 10 Am210\ \text{Am}^{2} has a cross-sectional area of 2.5×10−4 m22.5 \times 10^{-4}\ \text{m}^{2}. If the intensity of magnetisation of magnet is 10610^{6} A/m, the length of the bar magnet is _____.

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  10. Q.1 (x)1 mark
    In series LCR circuit for XL>XCX_L > X_C, tan⁡ϕ\tan\phi will be _____.

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  11. Answer the following questions :
    Q.2 (i)1 mark
    State the formula for electric field intensity due to uniformly charged spherical shell.
  12. Q.2 (ii)1 mark
    Name an instrument for measurement of e.m.f. of a cell.
  13. Q.2 (iii)1 mark
    Calculate the magnitude of force experienced by a stationary charge exposed to uniform magnetic field.
  14. Q.2 (iv)1 mark
    Which property of bar magnet is used in navigation?
  15. Q.2 (v)1 mark
    In Young's double slit experiment, width of the two slits are in the ratio 25 : 1. Calculate the ratio of amplitudes.
  16. Q.2 (vi)1 mark
    What is beta plus decay?
  17. Q.2 (vii)1 mark
    If the tension in sonometer wire is increased by 21%, compare the initial frequency with the later.
  18. Q.2 (viii)1 mark
    Define second's pendulum.

Section B

2 marks each · attempt any 8

  1. Q.32 marks
    What are Eddy currents? State its two applications.
  2. Q.42 marks
    State any two sources of error in meter bridge experiment. Explain how they can be minimised.
  3. Q.52 marks
    Draw a ray diagram showing position of virtual sources and region of interference in biprism experiment.
  4. Q.62 marks
    Derive an expression for radius of nthn^{\text{th}} Bohr orbit.
  5. Q.72 marks
    A ceiling fan has moment of inertia of 2 kg m22\ \text{kg m}^{2}. It attains maximum frequency of 60 r.p.m. in 2π2\pi seconds. Calculate its power rating.
  6. Q.82 marks
    An electric dipole consists of two unlike charges of magnitude 2×10−62 \times 10^{-6} C each and separated by 4 cm. The dipole is placed in an external electric field of 10510^{5} N/C. Calculate the work done by an external agent to turn the dipole through 180°.
  7. Q.92 marks
    Derive an expression for the magnetic field produced by a current in a circular arc of a wire using Biot-Savart law.
  8. Q.102 marks
    State advantages and disadvantages of photodiode.
  9. Q.112 marks
    Distinguish between harmonics and overtones. [Any Two points]
  10. Q.122 marks
    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 : ηglycerine=0.833 Ns/m2\eta_{glycerine} = 0.833\ Ns/m^{2} ]
  11. Q.132 marks
    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: kB=1.4×10−23k_B = 1.4 \times 10^{-23} J/k, e=1.6×10−19e = 1.6 \times 10^{-19}C ]
  12. Q.142 marks
    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.

Section C

3 marks each · attempt any 8

  1. Q.153 marks
    In thermodynamics, define : (a) Mechanical equilibrium (b) Chemical equilibrium (c) Thermal equilibrium
  2. Q.163 marks
    Derive an expression for resonant frequency of series resonant circuit.
  3. Q.173 marks
    Obtain an expression for period of a bar magnet vibrating in a uniform magnetic field and performing angular S.H.M.
  4. Q.183 marks
    Define magnetization. State its S.I. unit and dimensions. What is the relation between permeability and magnetic susceptibility?
  5. Q.193 marks
    Derive an expression for electric potential due to a point charge.
  6. Q.203 marks
    Obtain an expression for the de-Broglie wavelength associated with an electron accelerated from rest through a potential difference of 'V' volts.
  7. Q.213 marks
    With a neat circuit diagram, explain the working of a full wave rectifier. Draw input-output waveforms.
  8. Q.223 marks
    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?
  9. Q.233 marks
    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=8.31R = 8.31 J mol−1^{-1} K−1^{-1} ]
  10. Q.243 marks
    A galvanometer has a resistance of 40 Ω40\ \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?
  11. Q.253 marks
    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<ba < r < b and (ii) b<rb < r ? What will be its direction? where 'r' is the radius of the Ampere's circular loop.
  12. Q.263 marks
    Energy of an electron in second Bohr orbit is −3.4-3.4 eV. Calculate its kinetic energy and potential energy in third Bohr orbit.

Section D

4 marks each · attempt any 3

  1. Q.274 marks
    Derive Laplace's law for spherical membrane of bubble due to surface tension.
  2. Q.284 marks
    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 m225\ \text{kg m}^{2}. Calculate its moment of inertia about a tangent.
  3. Q.294 marks
    Derive the relation between coefficient of absorption, coefficient of reflection and coefficient of transmission. Compare the r.m.s. speed of hydrogen molecule at 127°C with r.m.s. speed of oxygen molecule at 27°C, given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.
  4. Q.304 marks
    Define : (i) Self inductance (ii) Mutual inductance A conducting loop of area 1m21\text{m}^{2} is placed normal to a uniform magnetic field of 3 Wb/m23\ \text{Wb/m}^{2}. If the magnetic field is uniformly reduced to 1 Wb/m21\ \text{Wb/m}^{2} in 0.5 second, calculate the induced e.m.f. produced in the coil.
  5. Q.314 marks
    Using analytical method, obtain an expression for the fringe width of two interfering waves.