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Physics Official 2023-2024 HSC Science (General) 12th Standard Board Exam Question Paper Solution

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Physics [Official]
Marks: 70 Maharashtra State Board
HSC Science (General)
HSC Science (Electronics)
HSC Science (Computer Science)

Academic Year: 2023-2024
Date & Time: 27th February 2024, 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 answers types 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:
    (i) mass of electron m = 9.1 × 10-31 kg
    (ii) ε0 = 8.85 × 10-12 `C^2/(Nm^2)`
    (iii) π = 3.142
    (iv) charge on electron e = 1.6 × 10-19C
    (v) µ0 = 4π × 10-7 Wb/Am
    (vi) Planck's constant h = 6.63 × 10-34 J.s.
    (vii) Speed of light c = 3 × 108 m/s
    (viii) g = 9.8 m/s2
    (ix) Rydberg's constant R= 1.097 × 107m-1
    (x) Stefan's constant σ = 5.67 × 10-8J m-2 s-1 K-4

Section - A
[10]1 | Select and write the correct answer for the following multiple choice type of questions :
[1]1.i

The moment of inertia (MI) of a disc of radius R and mass M about its central axis is ______.

`"MR"^2/4`

`"MR"^2/2`

MR2

`(3"MR"^2)/2`

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[1]1.ii

The dimensional formula of surface tension is ______.

[L−1M1T2]

[L2M1T2]

[L1M1T1]

[L0M1T2]

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
[1]1.iii

Phase difference between a node and an adjacent antinode in a stationary wave is ______.

`pi/4` rad

`pi/2`rad

`(3pi)/4`rad

`pi` rad

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves
[1]1.iv

The work done in bringing a unit positive charge from infinity to a given point against the direction of electric field is known as ______.

electric flux

magnetic potential

electric potential

gravitational potential

Concept: undefined - undefined
Chapter: [0.08] Electrostatics
[1]1.v

To convert a moving coil galvanometer into an ammeter we need to connect a ______.

small resistance in parallel with it

large resistance in series with it

small resistance in series with it

large resistance in parallel with it

Concept: undefined - undefined
Chapter: [0.09] Current Electricity [0.14] Magnetic Effects of Electric Current
[1]1.vi

If the frequency of incident light falling on a photosensitive material is doubled, then the kinetic energy of the emitted photoelectron will be ______.

same as its initial value

two times its initial value

more than two times its initial value

less than two times its initial value

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

In a cyclic process, if ΔU = internal energy, W = work done, Q = Heat supplied then ______.

ΔU = Q

Q = 0

W = 0

W = Q

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[1]1.viii

The current in a coil changes from 50A to 10A in 0.1 second. The self inductance of the coil is 20H. The induced e.m.f. in the coil is ______.

800V

6000V

7000V

8000V

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

The velocity of bob of a second’s pendulum when it is 6 cm from its mean position and amplitude of 10 cm, is ______.

8π cm/s

6π cm/s

4π cm/s

2π cm/s

Concept: undefined - undefined
Chapter: [0.05] Oscillations
[1]1.x

In biprism experiment, the distance of 20th bright band from the central bright band is 1.2 cm. Without changing the experimental set-up, the distance of 30th bright band from the central bright band will be ______.

 0.6 cm

0.8 cm

1.2 cm 

1.8 cm

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[8]2 | Answer the following questions:
[1]2.i

Define centripetal force.

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[1]2.ii

Why a detergent powder is mixed with water to wash clothes?

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
[1]2.iii

What is the value of resistance for an ideal voltmeter?

Concept: undefined - undefined
Chapter: [0.09] Current Electricity [0.13] Current Electricity
[1]2.iv

Write the formula for torque acting on rotating current carrying coil in terms of magnetic dipole moment, in vector form.

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[1]2.v

What is binding energy of a hydrogen atom?

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei [0.18] Atoms, Molecules and Nuclei
[1]2.vi

What are surroundings in thermodynamics?

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[1]2.vii

In a photoelectric experiment, the stopping potential is 1.5V. What is the maximum kinetic energy of a photoelectron?

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[1]2.viii

Two capacitors of capacities 5 μF and 10 μF respectively are connected in series. Calculate the resultant capacity of the combination.

Concept: undefined - undefined
Chapter:
Section - B [16]
[2]3 | Attempt any EIGHT questions of the following:

Explain the change in internal energy of a thermodynamic system (the gas) by heating it.

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[2]4

Explain the construction and propagation of a spherical wavefront using Huygens's principle.

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[2]5
[1]5.i

Define Magnetization.

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials [0.15] Magnetism
[1]5.ii
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[0.5]5.ii.1

State SI unit of Magnetization.

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials [0.15] Magnetism
[0.5]5.ii.2

State dimensions of Magnetization.

Concept: undefined - undefined
Chapter:
[2]6

Obtain the differential equation of linear simple harmonic motion.

Concept: undefined - undefined
Chapter: [0.04] Oscillations [0.05] Oscillations
[2]7

A galvanometer has a resistance of 30Ω, and its full-scale deflection current is 20 microampere (μA). What resistance should be added to it to have a range of 0-10 volts?

Concept: undefined - undefined
Chapter:
[2]8

Explain Biot Savart's Law.

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[2]9
[1]9.i

What is a Light Emitting Diode?

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
[2]9.ii

Draw Light Emitting Diode circuit symbol.

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
[2]10

An aircraft of wing span of 60 m flies horizontally in earth’s magnetic field of  6 × 10−5 T at a speed of 500 m/s. Calculate the e.m.f. induced between the tips of the wings of the aircraft.

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[2]11

Derive an expression for maximum speed moving along a horizontal circular track.

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[2]12

A horizontal force of 0.5 N is required to move a metal plate of area 10−2 m2 with a velocity of 3 × 102m/s, when it rests on 0.5 × 103 m thick layer of glycerin. Find the coefficient of viscosity of glycerin.

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[2]13

Two tuning forks having frequencies 320 Hz and 340 Hz are sounded together to produce sound waves. The velocity of sound in air is 340 m/s. Find the difference in wavelength of these waves. 

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves
[2]14

Calculate the change in angular momentum of the electron when it jumps from third orbit to first orbit in hydrogen atom.
(Take h = 6.33 × 10−34 Js)

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
Section - C (Attempt any EIGHT questions of the following) [24]
[3]15

A circular coil of wire is made up of 200 turns, each of radius 10 cm. If a current of 0.5A passes through it, what will be the Magnetic field at the centre of the coil?

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[3]16
[1]16.i

Define photoelectric effect. 

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[2]16.ii

Explain the experimental set-up of photoelectric effect.

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[3]17
[1]17.i

Define α.

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
[2]17.ii

Define β

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
[1]17.iii

Derive the relation between α and β.

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
[3]18
[0.5]18.i

Define the surface energy of the liquid.

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids
[2.5]18.ii

Derive the relation between surface tension and surface energy per unit area.

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids
[3]19
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[0.5]19.i

What is an isothermal process?

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[2.5]19.ii

Obtain an expression for the workdone by a gas in an isothermal process.

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[3]20
[1.5]20.i

Derive an expression for the equation of stationary wave on a stretched string.

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves
[1.5]20.ii

Show that the distance between two successive nodes or antinodes is λ/2.

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves
[3]21

Derive an expression for the impedance of an LCR circuit connected to an AC power supply. Draw phasor diagram.

Concept: undefined - undefined
Chapter: [0.13] AC Circuits [0.16] Electromagnetic Inductions
[3]22

Calculate the wavelength of the first two lines in the Balmer series of hydrogen atoms.

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei
[3]23
A current carrying toroid winding is internally filled with lithium having susceptibility `chi` = 2.1 × 10−5. What is the percentage increase in the magnetic field in the presence of lithium over that without it?
Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[3]24

The radius of a circular track is 200 m. Find the angle of banking of the track, if the maximum speed at which a car can be driven safely along it is 25 m/sec.

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[3]25

Prove the Mayer's relation `C_p - C _v = R/J`

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
[3]26

An alternating voltage is given by e = 8sin628.4t. Find

  1. peak value of e.m.f.
  2. frequency or e.m.f.
  3. instantaneous value of e.m.f. at time t = 10. ms
Concept: undefined - undefined
Chapter: [0.13] AC Circuits
Section - D (Attempt any THREE questions of the following) [12]
[4]27
[1]27.i

What is a transformer?

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
[2]27.ii

Explain the construction and working of the transformer. 

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
[1]27.iii

Derive the equation for a transformer.

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
[4]28

Using the geometry of the double slit experiment, derive the expression for fringe width of interference bands.

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[4]29
[2]29.i

Distinguish between an ammeter and a voltmeter.

Concept: undefined - undefined
Chapter:
[2]29.ii

The displacement of a particle performing simple harmonic motion is `1/3` rd of its amplitude. What fraction of total energy will be its kinetic energy?

Concept: undefined - undefined
Chapter: [0.05] Oscillations
[4]30
[2]30.i

Draw a neat labelled diagram of Ferry’s perfectly black body.

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
[2]30.ii

Compare the rms speed of hydrogen molecules at 227°C with the rms speed of oxygen molecules at 127°C. Given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
[4]31
[2]31.i

Derive an expression for energy stored in a capacitor.

Concept: undefined - undefined
Chapter: [0.08] Electrostatics
[2]31.ii

A spherical metal ball of radius 15 cm carries a charge of 2μC. Calculate the electric field at a distance of 20 cm from the center of the sphere.

Concept: undefined - undefined
Chapter: [0.08] Electrostatics

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