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Physics Official 2024-2025 HSC Science (General) 12th Standard Board Exam Question Paper Solution

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Physics [Official]
Marks: 80 Maharashtra State Board
HSC Science (General)
HSC Science (Electronics)
HSC Science (Computer Science)

Academic Year: 2024-2025
Date & Time: 17th February 2025, 11:00 am
Duration: 3h
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General Instructions:

The question paper is divided into four sections:

  1. Section A: Q. No. 1 contains Ten multiple choice type of questions carrying One mark each.
    Q. No. 2 contains Eight very short answer type of questions carrying One mark each.
  2. Section B: Q. No. 3 to Q. No. 14 contain Twelve short answer type of questions carrying Two marks each. (Attempt any Eight).
  3. Section C: Q. No. 15 to Q. No. 26 contain Twelve short answer type of questions carrying Three marks each. (Attempt any Eight).
  4. Section D: Q. No. 27 to Q. No. 31 contain Five long answer type of questions carrying Four marks each.(Attempt any Three).
  5. Use of the log table is allowed. Use of calculator is not allowed.
  6. Figures to the right indicate full marks.
  7. For multiple choice type questions, only the first attempt will be considered for evaluation.
  8. Physical Constants:
    1. h = 6.63 × 10−34 Js
    2. c = 3 × 108 m/s
    3. π = 3.142
    4. g = 9.8 m/s2
    5. ε0 = 8.85 × 10−12 C2/Nm2
    6. μ0 = 4π × 10−7 Wb/A-m
    7. σ = 5.67 × 10−8 W/m2k4
    8. 1 atm = 1.013 × 105 N/m2
    9. R = 8.319 j/mol-k

SECTION - A (18 Marks)
[10]1 | Select and write the correct answers for the following multiple choice type of questions:
[1]1.i

“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 ______.

zeroth law of thermodynamics

first law of thermodynamics

second law of thermodynamics

Carnot’s law

Concept: undefined - undefined
Chapter:
[1]1.ii

In Bernoulli’s theorem, which of the following is constant?

Linear momentum

Angular momentum

Mass

Energy

Concept: undefined - undefined
Chapter:
[1]1.iii

Which of the following materials belongs to diathermanous substance?

Wood

Iron

Glass 

Copper

Concept: undefined - undefined
Chapter:
[1]1.iv

Electric potential ‘V’ at a distance ‘r’ from a point charge is directly proportional to ______.

r

r2

`1/r`

`1/r^2`

Concept: undefined - undefined
Chapter:
[1]1.v

Which of the following equations gives correct expression for the internal resistance of a cell by using potentiometer?

`r = R [V/E - 1]`

`r = R [1 - E/V]`

`r = R [1 - V/E]`

`r = R [E/V - 1]`

Concept: undefined - undefined
Chapter:
[1]1.vi

An electron, a proton, an α-particle, and a hydrogen atom are moving with the same kinetic energy. The associated de Broglie wavelength will be longest for ______.

Electron

Proton

α-particle

Hydrogen atom

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[1]1.vii

The gate which produces high output, when its both inputs are high is ______.

X-OR gate

AND gate

NAND gate

NOR gate

Concept: undefined - undefined
Chapter:
[1]1.viii

The power rating of a ceiling fan rotating with a constant torque of 2 Nm with an angular speed 2π of rad/s will be ______.

π W

2π W

3π W

4π W

Concept: undefined - undefined
Chapter:
[1]1.ix

A string of length 2 m is vibrating with 2 loops. The distance between its node and adjacent antinode is ______.

0.5 m

1.0 m

1.5 m

2.0 m

Concept: undefined - undefined
Chapter:
[1]1.x

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 ______.

1000

2000

3000

4000

Concept: undefined - undefined
Chapter:
[8]2 | Answer the following questions:
[1]2.i

At what temperature the surface tension of a liquid becomes zero?

Concept: undefined - undefined
Chapter:
[1]2.ii

Define self-inductance.

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
[1]2.iii

What is the work done by an external uniform magnetic field perpendicular to the velocity of a moving charge?

Concept: undefined - undefined
Chapter:
[1]2.iv

What do you mean by a thermodynamic system?

Concept: undefined - undefined
Chapter:
[1]2.v

What is value of B called, when H = 0 is in the hysteresis loop?

Concept: undefined - undefined
Chapter:
[1]2.vi

State the formula for the angle of banking.

Concept: undefined - undefined
Chapter:
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[1]2.vii

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 μ C/m2]

Concept: undefined - undefined
Chapter:
[1]2.viii

Find the kinetic energy of 1 litre of an ideal gas at STP.

Concept: undefined - undefined
Chapter:
SECTION - B (16 Marks)
[2]3 | Attempt any EIGHT questions of the following:

Explain harmonics.

Concept: undefined - undefined
Chapter:

Explain overtones.

Concept: undefined - undefined
Chapter:
[2]4

Using Newton's law of viscosity for streamline flow, derive an expression for the coefficient of viscosity.

Concept: undefined - undefined
Chapter:
[2]5

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 looр.

Concept: undefined - undefined
Chapter:
[2]6

State and prove: Law of conservation of angular momentum.

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[2]7

State any four advantages of light emitting diode (LED).

Concept: undefined - undefined
Chapter:
[2]8

Calculate the energy radiated in one minute by a perfectly black body of surface area 200 cm2 when it is maintained at 127°C.

Concept: undefined - undefined
Chapter:
[2]9

Two coils having self-inductances of 60 mH each are coupled with each other. If the coefficient of coupling is 0.75, calculate the mutual inductance between them.

Concept: undefined - undefined
Chapter:
[2]10

In a series LCR circuit, if resistance, inductive reactance and capacitive reactance are 3Ω, 8Ω and 4Ω respectively, calculate phase difference between voltage and current.

Concept: undefined - undefined
Chapter:
[2]11

State the advantages of potentiometer over voltmeter.

Concept: undefined - undefined
Chapter: [0.09] Current Electricity [0.13] Current Electricity
[2]12

Draw the circuit diagram of a full wave rectifier.

Concept: undefined - undefined
Chapter:
[2]13

A body of mass 0.8 kg performs linear S.H.M. It experiences a restoring force of 0.4 N when its displacement from the mean position is 4 cm. Determine the force constant and period of S.H.M.

Concept: undefined - undefined
Chapter:
[2]14

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?

Concept: undefined - undefined
Chapter:
SECTION - C (24 Marks)
[3]15 | Attempt any EIGHT questions of the following:

Obtain the expression for the period of a magnet vibrating in a uniform magnetic field and performing S.H.M.

Concept: undefined - undefined
Chapter: [0.05] Oscillations
[3]16
[1]16.i

In a thermodynamic system, define mechanical equilibrium.

Concept: undefined - undefined
Chapter:
[1]16.ii

In a thermodynamic system, define chemical equilibrium.

Concept: undefined - undefined
Chapter:
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[1]16.iii

In a thermodynamic system, define thermal equilibrium.

Concept: undefined - undefined
Chapter:
[3]17

What is Brewster’s law? Derive the formula for Brewster angle.

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[3]18

Derive an expression for the law of radioactive decay.

Concept: undefined - undefined
Chapter:

Define one Becquerel.

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei [0.18] Atoms, Molecules and Nuclei
[3]19

State and prove Kirchoff’s law of heat radiation.

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
[3]20
[1.5]20.i

Obtain an expression for practical determination of end correction for a pipe open at both ends.

Concept: undefined - undefined
Chapter:
[1.5]20.ii

Obtain an expression for practical determination of end correction for a pipe closed at one end.

Concept: undefined - undefined
Chapter:
[3]21

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.

Concept: undefined - undefined
Chapter:
[3]22

An electron in hydrogen atom stays in its second orbit for 10−8 s. How many revolutions will it make around the nucleus at that time?

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei [0.18] Atoms, Molecules and Nuclei
[3]23

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.

Concept: undefined - undefined
Chapter:
[3]24
[1.5]24.i

A galvanometer has a resistance of 50 Ω  and a current of 2 mA is needed for its full scale deflection. Calculate the resistance required to convert it into an ammeter of 0.5 A range.

Concept: undefined - undefined
Chapter:
[1.5]24.ii

A galvanometer has a resistance of 50 Ω and a current of 2 mA is needed for its full scale deflection. Calculate the resistance required to convert it into a voltmeter of 10 V range.

Concept: undefined - undefined
Chapter:
[3]25

Diameter of a water drop is 0.6 mm. Calculate the pressure inside a liquid drop.

(T = 72 dyne/cm, atmospheric pressure = 1.013 × 105 N/m2)

Concept: undefined - undefined
Chapter:
[3]26

A solenoid of length π m and 5 cm in diameter has a winding of 1000 turns and carries a current of 5 A. Calculate the magnetic field at its centre along the radius.

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
SECTION - D (12 Marks)
[4]27 | Attempt any THREE questions of the following:

What is ferromagnetism?

Concept: undefined - undefined
Chapter:

Explain ferromagnetism on the basis of the domain theory.

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials [0.15] Magnetism
[4]28

Obtain an expression for average power dissipated in a series LCR circuit.

Concept: undefined - undefined
Chapter:
[4]29

Distinguish between the phenomenon of interference and diffraction of light.

Concept: undefined - undefined
Chapter: [0.11] Interference and Diffraction

A double-slit arrangement produces interference fringes for sodium light (λ = 589 nm) that are 0.20° apart. What is the angular fringe separation if the entire arrangement is immersed in water (n = 1.33)?

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[4]30

State Einstein's photoelectric equation and mention the physical significance of each term involved in it.

Concept: undefined - undefined
Chapter:

The wavelength of incident light is 4000 Å. Calculate the energy of the incident photon.

Concept: undefined - undefined
Chapter:
[4]31

State any four uses of Van de Graaff generator.

Concept: undefined - undefined
Chapter:

In a parallel plate air capacitor, intensity of electric field is changing at the rate of 2 × 1011 V/ms. If the area of each plate is 20 cm2, calculate the displacement current.

Concept: undefined - undefined
Chapter:

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