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Physics Model set 1 by shaalaa.com 2024-2025 HSC Science (General) 12th Standard Board Exam Question Paper Solution

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Physics [Model set 1 by shaalaa.com]
Marks: 70 Maharashtra State Board
HSC Science (General)
HSC Science (Electronics)
HSC Science (Computer Science)

Academic Year: 2024-2025
Date: March 2025
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General Instructions: The question paper is divided into four sections.

  1. Section A: Q. No.1 contains Ten multiple-choice types 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 contains 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 questions carrying Three marks each. (Attempt any Eight).
  4. Section D: Q.No.27 to Q.No.31 contain Five long answer type 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 each multiple choice type question, it is mandatory to write the correct answer along with its alphabet, e.g., (a) ............../(b) ............... /(c) .............../(d) ................, No marks(s) shall be given, if ONLY the correct
    answer or the alphabet of the correct answer is written. 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) h = 6.63 × 10-34 Js
    (vii) C = 3 × 108 m/s

SECTION - A
[10]1 | Select and write the correct answers for the following multiple-choice type of questions:
[1]1.1

A charged particle is in motion having initial velocity `vecv` when it enters into a region of uniform magnetic field perpendicular to `vecv`. Because of the magnetic force the kinetic energy of the particle will ______.

remain unchanged

get reduced

increase

be reduced to zero

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[1]1.2

The ratio of emissive power of perfect blackbody at 1327°C and 527°C is ______.

4:1

16:1

2:1

8:1

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
[1]1.3

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]1.4

Multiple Choice Question.

Two capillary tubes of radii 0.3 cm and 0.6 cm are dipped in the same liquid. The ratio of heights through which the liquid will rise in the tubes is

1: 2

2: 1

1: 4

4: 1

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids
[1]1.5

Choose the correct option:

A parallel plate capacitor is charged and then isolated. The effect of increasing the plate separation on charge, potential, capacitance respectively are ______.

Constant, decreases, decreases

Increases, decreases, decreases

Constant, decreases, increases

Constant, increases, decreases

Concept: undefined - undefined
Chapter: [0.08] Electrostatics
[1]1.6

A thin walled hollow cylinder is rolling down an incline, without slipping. At any instant, without slipping. At any instant, the ratio "Rotational K.E.: Translational K.E.: Total K.E." is ______.

1 : 1 : 2

1 : 2 : 3

1 : 1 : 1

2 : 1 : 3

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[1]1.7

In a series LCR circuit, the phase difference between the voltage and the current is 45°. Then the power factor will be ______.

0.607

0.707

0.808

1

Concept: undefined - undefined
Chapter: [0.13] AC Circuits
[1]1.8

During refrigeration cycle, heat is rejected by the refrigerant in the ______.

Condenser

Cold chamber

Evaporator

Hot chamber

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[1]1.9

Choose the correct option.

A conducting thick copper rod of length 1 m carries a current of 15A and is located on the Earth's equator. There the magnetic flux lines of Earth's magnetic field are horizontal, with the field of 1.3 x 10-4T, south to north. The magnitude and direction of the force on the rod, when it is oriented so that current flows from west to east are ______.

14 × 10-4N, downward

20 × 10-4N, downward

14 × 10-4N, upward

20 × 10-4N, upward

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[1]1.10

Choose the correct option.

In the spectrum of the hydrogen atom which transition will yield the longest wavelength?

n = 2 to n = 1

n = 5 to n = 4

n = 7 to n = 6

n = 8 to n = 7

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei
[8]2 | Answer the following questions:
[1]2.1

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

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[1]2.2

Do we need a banked road for a two-wheeler? Explain.

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[1]2.3

What do you understand by the term wave-particle duality? Where does it apply?

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[1]2.4

A star is emitting light at the wavelength of 5000 Å. Determine the limit of resolution of a telescope having an objective of a diameter of 200 inch.

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[1]2.5

Answer in brief:

A metal plate is introduced between the plates of a charged parallel plate capacitor. What is its effect on the capacitance of the capacitor?

Concept: undefined - undefined
Chapter:
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[1]2.6

A voltmeter has a resistance of 30 Ω. What will be its reading, when it is connected across a cell of emf 2 V having internal resistance 10 Ω?

Concept: undefined - undefined
Chapter: [0.09] Current Electricity
[1]2.7

Explain why the inductance of two coils connected in parallel is less than the inductance of either coil.

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
[1]2.8

Answer in brief.

Why should a Carnot cycle have two isothermal two adiabatic processes?

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
SECTION - B
[2]3 | Attempt any EIGHT questions of the following:

Why are multiple colours observed over a thin film of oil floating on water? Explain with the help of a diagram.

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

At what distance from the mean position is the speed of a particle performing S.H.M. half its maximum speed. Given the path length of S.H.M. = 10 cm.

Concept: undefined - undefined
Chapter: [0.05] Oscillations
[2]5

If the effective current in a 50 cycle AC circuit is 5 A, what is the peak value of current? What is the current 1/600 after if was zero?

Concept: undefined - undefined
Chapter: [0.13] AC Circuits
[2]6

Why is the surface tension of paints and lubricating oils kept low?

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
[2]7

A system releases 130 kJ of heat while 109 kJ of work is done on the system. Calculate the change in internal energy.

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[2]8

Answer in brief:

State the characteristics of stationary waves.

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves
[2]9

State the importance of Davisson and Germer experiment.

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[2]10

White light consists of wavelengths from 400 nm to 700 nm. What will be the wavelength range seen when white light is passed through a glass of refractive index 1.55?

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[2]11

A voltmeter has a resistance of 30 Ω. What will be its reading, when it is connected across a cell of emf 2 V having internal resistance 10 Ω?

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

What is electromagnetic induction?

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

State Faraday's laws of electromagnetic induction.

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[2]13

Calculate the value of the magnetic field at a distance of 2 cm from a very long straight wire carrying a current of 5 A (Given: μ0 = 4π × 10-7 Wb/Am).

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[2]14

Mention the conditions under which a real gas obeys the ideal gas equation.

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
SECTION - C
[3]15 | Attempt any EIGHT questions of the following:

A gas contained in a cylinder fitted with a frictionless piston expands against a constant external pressure of 1 atm from a volume of 5 liters to a volume of 10 liters. In doing so it absorbs 400J of thermal energy from its surroundings. Determine the change in the internal energy of the system.

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[3]16

Why are the emitter, the base, and the collector of a BJT doped differently?

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
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[3]17

Discuss the interlink between translational, rotational and total kinetic energies of a rigid object rolls without slipping.

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics [0.03] Angular Momentum
[3]18

A 6 μF capacitor is charged by a 300 V supply. It is then disconnected from the supply and is connected to another uncharged 3 μF capacitor. How much electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation?

Concept: undefined - undefined
Chapter:
[3]19

Obtain an expression for the orbital magnetic moment of an electron rotating about the nucleus in an atom.

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials
[3]20

A wave of frequency 500 Hz is traveling with a speed of 350 m/s. (a) What is the phase difference between two displacements at a certain point at times 1.0 ms apart? (b) what will be the smallest distance between two points which are 45° out of phase at an instant of time?

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

A 15.0 μF capacitor is connected to a 220 V, 50 Hz source. Find the capacitive reactance and the current (rms and peak) in the circuit. If the frequency is doubled, what will happen to the capacitive reactance and the current?

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

Describe Young's double-slit interference experiment and derive conditions for occurrence of dark and bright fringes on the screen. Define fringe width and derive a formula for it.

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[3]23

Why two or more mercury drops form a single drop when brought in contact with each other?

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids
[3]24

What is the difference between a nuclear reactor and a nuclear bomb?

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei
[3]25

Derive the laws of reflection of light using Huygens’ principle.

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[3]26

Obtain an expression for the orbital magnetic moment of an electron rotating about the nucleus in an atom.

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials
SECTION - D
[4]27 | Attempt any THREE questions of the following:
[2]27.1

Answer in brief.

State the postulates of Bohr’s atomic model.

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei
[2]27.2

A short bar magnet is placed in an external magnetic field of 700 gauss. When its axis makes an angle of 30° with the external magnetic field, it experiences a torque of 0.014 Nm. Find the magnetic moment of the magnet, and the work done in moving it from its most stable to the most unstable position.

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

In a parallel plate capacitor with air between the plates, each plate has an area of 6 x 10−3 m2 and the separation between the plates is 2 mm.

  1. Calculate the capacitance of the capacitor. 
  2. If this capacitor is connected to 100 V supply, what would be the charge on each plate? 
  3. How would charge on the plates be affected if a 2 mm thick mica sheet of k = 6 is inserted between the plates while the voltage supply remains connected?
Concept: undefined - undefined
Chapter:
[4]29
[2]29.1

On what factors do the degrees of freedom depend?

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation [0.09] Kinetic Theory of Gases and Radiation
[2]29.2

An aircraft of wing span of 50 m flies horizontally in the Earth's magnetic field of 6 x 10-5 T at a speed of 400 m/s. Calculate the emf generated between the tips of the wings of the aircraft.

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[4]30

In a Faraday disc dynamo, a metal disc of radius R rotates with an angular velocity ω about an axis perpendicular to the plane of the disc and passing through its center. The disc is placed in a magnetic field B acting perpendicular to the plane of the disc. Determine the induced emf between the rim and the axis of the disc.

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[4]31

Answer in brief:

Derive an expression which relates angular momentum with the angular velocity of a rigid body​.

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

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