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Physics Model set 2 by shaalaa.com 2024-2025 HSC Science (General) 12th Standard Board Exam Question Paper Solution

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Physics [Model set 2 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

In an AC circuit, e and i are given by e = 150 sin(150t)V and i = 150 sin `(150t + π/3)` A. The power dissipated in the circuit is ______.

106W

150W

5625W

Zero

Concept: undefined - undefined
Chapter: [0.13] AC Circuits
[1]1.2

Choose the correct option:

A conductor rod of length (l) is moving with velocity (v) in a direction normal to a uniform magnetic field (B). What will be the magnitude of induced emf produced between the ends of the moving conductor?

BLv

BLv2

`1/2Blv`

`(2Bl)/v`

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
[1]1.3

Which of the following properties of a nucleus does not depend on its mass number?

Radius

Mass

Volume

Density

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei
[1]1.4

A photocell is used to automatically switch on the street lights in the evening when the sunlight is low in intensity. Thus it has to work with visible light. The material of the cathode of the photocell is ______.

Zinc

Aluminum

Nickel

Potassium

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[1]1.5

Kirchhoff’s first law, i.e., ΣI = 0 at a junction, deals with the conservation of ______.

Charge

Energy

Momentum

Mass

Concept: undefined - undefined
Chapter: [0.09] Current Electricity
[1]1.6

Choose the correct option:

A standing wave is produced on a string clamped at one end and free at the other. The length of the string ______.

Must be an odd integral multiple of `lambda/4`

Must be an odd integral multiple of `lambda/2` 

Must be an odd integral multiple of `lambda`

Must be an even integral multiple of `lambda`

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves
[1]1.7

What is the energy required to build up current of 1A in an inductor of 20 mH?

10 mJ

20 mJ

20 J

10 J

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[1]1.8

When the balance point is obtained in the potentiometer, a current is drawn from ______.

Both the cells and auxiliary battery

Cell only

Auxiliary battery only

Neither cell nor auxiliary battery

Concept: undefined - undefined
Chapter: [0.09] Current Electricity [0.13] Current Electricity
[1]1.9

In an ideal gas, the molecules possess

Only kinetic energy

Both kinetic energy and potential energy

Only potential energy

Neither kinetic energy nor potential energy

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
[1]1.10

A particle of mass 1 kg, tied to a 1.2 m long string is whirled to perform the vertical circular motion, under gravity. The minimum speed of a particle is 5 m/s. Consider the following statements.

P) Maximum speed must be `5sqrt5` m/s.

Q) Difference between maximum and minimum tensions along the string is 60 N.

Select the correct option.

Only the statement P is correct.

Only the statement Q is correct.

Both the statements are correct.

Both the statements are incorrect.

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[8]2 | Answer the following questions:
[1]2.1

How much amount of work is done in forming a soap bubble of radius r?

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
[1]2.2

The emissive power of a sphere of area 0.02 m2 is 0.5 kcal s-1m-2. What is the amount of heat radiated by the spherical surface in 20 seconds?

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
[1]2.3

State the importance of Davisson and Germer experiment.

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

Answer in brief:

A gas contained in a cylinder surrounded by a thick layer of insulating material is quickly compressed has work been done?

Yes

No

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics [0.09] Kinetic Theory of Gases and Radiation
[1]2.5

What is electromagnetic induction?

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
[1]2.6

Answer in brief:

If the difference between the radii of the two spheres of a spherical capacitor is increased, state whether the capacitance will increase or decrease.

Concept: undefined - undefined
Chapter: [0.08] Electrostatics
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[1]2.7

Give an example of some familiar process in which no heat is added to or removed from a system, but the temperature of the system changes.

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[1]2.8

On what factors does the potential gradient of the wire depend?

Concept: undefined - undefined
Chapter: [0.09] Current Electricity [0.13] Current Electricity
SECTION - B
[2]3 | Attempt any EIGHT questions of the following:

A horizontal wire 20 m long extending from east to west is falling with a velocity of 10 m/s normal to the Earth’s magnetic field of 0.5 × 10−4 T. What is the value of induced emf in the wire?

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[2]4

A very long straight wire carries a current of 5.2 A. What is the magnitude of the magnetic field at a distance 3.1 cm from the wire?

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[2]5

Answer in brief.

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

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[2]6

The safest way to protect yourself from lightning is to be inside a car. Justify.

Concept: undefined - undefined
Chapter: [0.08] Electrostatics
[2]7

A galvanometer has a resistance of 25 Ω and its full scale deflection current is 25 μA. What resistance should be added to it to have a range of 0-10 V?

Concept: undefined - undefined
Chapter:
[2]8

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]9

What are primary and secondary sources of light?

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[2]10

Answer in brief.

Discuss the Curie law for paramagnetic material.

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials [0.15] Magnetism
[2]11

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
[2]12

State the difficulties faced by Rutherford’s atomic model.

Concept: undefined - undefined
Chapter:
[2]13

Why is a low-density liquid used as a manometric liquid in a physics laboratory?

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids
[2]14

A violin string vibrates with fundamental frequency of 440Hz. What are the frequencies of the first and second overtones?

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves
SECTION - C
[3]15 | Attempt any EIGHT questions of the following:

A potentiometer wire has a length of 1.5 m and a resistance of 10 Ω. It is connected in series with the cell of emf 4 Volt and internal resistance 5 Ω. Calculate the potential drop per centimeter of the wire.

Concept: undefined - undefined
Chapter: [0.09] Current Electricity [0.13] Current Electricity
[3]16

A rectangular wireframe of size 2 cm x 2 cm, is dipped in a soap solution and taken out. A soap film is formed, if the size of the film is changed to 3 cm x 3 cm, Calculate the work done in the process. The surface tension of the soap film is 3 x 10-2 N/m.

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids
[3]17

An electron is moving with a speed of 3.2 × 107 m/s in a magnetic field of 6.00 × 10-4 T perpendicular to its path. What will be the radium of the path? What will be frequency and the energy in keV?
[Given: mass of electron = 9.1 × 10−31 kg, charge e = 1.6 × 10−19 C, 1 eV = 1.6 × 10−19 J]

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[3]18

A resistor held in running water carries electric current. Treat the resistor as the system

  1. Does heat flow into the resistor?
  2. Is there a flow of heat into the water?
  3. Is any work done?
  4. Assuming the state of resistance to remain unchanged, apply the first law of thermodynamics to this process.
Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
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[3]19

A particle performing linear S.H.M. of period 2π seconds about the mean position O is observed to have a speed of `"b" sqrt3` m/s, when at a distance b (metre) from O. If the particle is moving away from O at that instant, find the time required by the particle, to travel a further distance b.

Concept: undefined - undefined
Chapter: [0.05] Oscillations
[3]20

When an AC source is connected to an ideal inductor show that the average power supplied by the source over a complete cycle is zero.

Concept: undefined - undefined
Chapter: [0.13] AC Circuits
[3]21

Explain how vibrating strings can be verified using a sonometer.

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves
[3]22

Describe how a potentiometer is used to compare the emf's of two cells by the combination method.

Concept: undefined - undefined
Chapter: [0.09] Current Electricity [0.13] Current Electricity
[3]23

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]24

The common-base DC current gain of a transistor is 0.967. If the emitter current is 10mA. What is the value of base current?

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

In a common-base connection, a certain transistor has an emitter current of 10mA and a collector current of 9.8 mA. Calculate the value of the base current.

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
[3]25

The threshold wavelength of tungsten is 2.76 x 10-5 cm.
(a) Explain why no photoelectrons are emitted when the wavelength is more than 2.76 x 10-5 cm.
(b) What will be the maximum kinetic energy of electrons ejected in each of the following cases

(i) if ultraviolet radiation of wavelength λ = 1.80 × 10-5 cm and
(ii) radiation of frequency 4 x 1015 Hz is made incident on the tungsten surface?

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[3]26

State the law of equipartition of energy and hence calculate the molar specific heat of mono-atomic and di-atomic gases at constant volume and constant pressure.

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation [0.09] Kinetic Theory of Gases and Radiation
SECTION - D
[4]27 | Attempt any THREE questions of the following:
[2]27.1

What happens to a ferromagnetic material when its temperature increases above curie temperature?

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials [0.15] Magnetism
[2]27.2

In a common-base connection, the emitter current is 6.28 mA and the collector current is 6.20 mA. Determine the common-base DC current gain.

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
[4]28
[1]28.1

What are eddy currents?

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[1]28.2

State applications of eddy currents.

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[2]28.3

The magnetic field at a distance of 2.4 cm from a long straight [current-carrying] wire is 16 µT. What is the current through the wire?

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[4]29

Explain the principle of operation of a photodiode.

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
[4]30

Determine the series limit of Balmer, Paschen, and Pfund series, given the limit for Lyman series is 912 Å.

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei
[4]31
[2]31.1

A dipole with its charges, - q and + q located at the points (O, -b, O) and (O, +b, O) is present in a uniform electric field E. The equipotential surfaces of this field are planes parallel to the yz plane.

(a) What is the direction of the electric field E?

(b) How much torque would the dipole experience in this field?

Concept: undefined - undefined
Chapter: [0.08] Electrostatics
[2]31.2

A 25 μF capacitor, a 0.10 H inductor, and a 25Ω resistor are connected in series with an AC source whose emf is given by e = 310 sin 314 t (volt). What is the frequency, reactance, impedance, current, and phase angle of the circuit?

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

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Maharashtra State Board previous year question papers 12th Standard Board Exam Physics with solutions 2024 - 2025

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