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Maharashtra HSC Class 12 Physics February 2025 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
    "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 :

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

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

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

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

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

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

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  8. Q.1 (viii)1 mark
    The power rating of a ceiling fan rotating with a constant torque of 2 Nm with an angular speed of 2π2\pi rad/s will be _____.

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

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  10. Q.1 (x)1 mark
    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 _____.

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  11. Answer the following questions :
    Q.2 (i)1 mark
    At what temperature the surface tension of a liquid becomes zero?
  12. Q.2 (ii)1 mark
    Define self inductance.
  13. Q.2 (iii)1 mark
    What is the work done by an external uniform magnetic field perpendicular to the velocity of a moving charge?
  14. Q.2 (iv)1 mark
    What do you mean by a thermodynamic system?
  15. Q.2 (v)1 mark
    What is value of B called, when H = 0 is in the hysteresis loop?
  16. Q.2 (vi)1 mark
    State the formula for angle of banking.
  17. Q.2 (vii)1 mark
    Calculate the electric field intensity at a point just near the surface of a charged plane sheet, measured from its mid-point. [ σ=8.85 μC/m2\sigma = 8.85\ \mu\text{C/m}^{2} ]
  18. Q.2 (viii)1 mark
    Find kinetic energy of 1 litre of an ideal gas at S.T.P.

Section B

2 marks each · attempt any 8

  1. Q.32 marks
    Explain harmonics and overtones.
  2. Q.42 marks
    Using Newton's law of viscosity for streamline flow, derive an expression for coefficient of viscosity.
  3. Q.52 marks
    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.
  4. Q.62 marks
    State and prove the law of conservation of angular momentum.
  5. Q.72 marks
    State any four advantages of light emitting diode (LED).
  6. Q.82 marks
    Calculate the energy radiated in one minute by a perfectly black body of surface area 200 cm2200\ \text{cm}^{2} when it is maintained at 127°C.
  7. Q.92 marks
    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.
  8. Q.102 marks
    In a series LCR circuit, if resistance, inductive reactance and capacitive reactance are 3Ω3\Omega, 8Ω8\Omega and 4Ω4\Omega respectively, calculate phase difference between voltage and current.
  9. Q.112 marks
    State the advantages of a potentiometer over a voltmeter.
  10. Q.122 marks
    Draw a neat and labelled circuit diagram for a full wave rectifier.
  11. Q.132 marks
    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.
  12. Q.142 marks
    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?

Section C

3 marks each · attempt any 8

  1. Q.153 marks
    Obtain an expression for the period of a bar magnet vibrating in a uniform magnetic field, performing S.H.M.
  2. Q.163 marks
    In a thermodynamic system, define – (a) Mechanical equilibrium (b) Chemical equilibrium and (c) Thermal equilibrium
  3. Q.173 marks
    What is Brewster's law? Derive the formula for Brewster's angle.
  4. Q.183 marks
    Derive an expression for law of radioactive decay. Define one becquerel (Bq).
  5. Q.193 marks
    State and prove Kirchhoff's law of heat radiation.
  6. Q.203 marks
    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.
  7. Q.213 marks
    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.
  8. Q.223 marks
    An electron in hydrogen atom stays in its second orbit for 10−810^{-8} s. How many revolutions will it make around the nucleus in that time? [ Given : e=1.6×10−19e = 1.6 \times 10^{-19} C, m=9.1×10−31m = 9.1 \times 10^{-31} kg ]
  9. Q.233 marks
    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.
  10. Q.243 marks
    A galvanometer has a resistance of 50 Ω50\ \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.
  11. Q.253 marks
    Diameter of a water drop is 0.6 mm. Calculate the pressure inside a liquid drop. (T=72T = 72 dyne/cm, atmospheric pressure =1.013×105 N/m2= 1.013 \times 10^{5}\ \text{N/m}^{2} )
  12. Q.263 marks
    A solenoid of length π\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.

Section D

4 marks each · attempt any 3

  1. Q.274 marks
    What is Ferromagnetism? Explain it on the basis of domain theory.
  2. Q.284 marks
    Obtain an expression for average power dissipated in a series LCR circuit.
  3. Q.294 marks
    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. Q.304 marks
    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.
  5. Q.314 marks
    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 2×10112 \times 10^{11} V/ms. If area of each plate is 20 cm220\ \text{cm}^{2}, calculate the displacement current.