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Physics Model set 2 shaalaa.com 2021-2022 HSC Science (General) 12th Standard Board Exam Question Paper Solution

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Physics [Model set 2 shaalaa.com]
Marks: 70 Maharashtra State Board
HSC Science (General)
HSC Science (Electronics)
HSC Science (Computer Science)

Academic Year: 2021-2022
Date: मार्च 2022
Duration: 0h30m
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General instructions:

  • The question paper is divided into four sections:
  1. Section A: Question No. 1 contains 10 multiple choice type questions carrying one mark each.
                         Question No. 2 contains 8 very short answer type questions carrying one mark each.
  2. Section B: Question No. 3 to Question No. 14 are 12 short answer-I type questions carrying two marks each. Attempt any eight questions.
  3. Section C: Question No. 15 to Question No. 26 are 12 short answer-II type questions carrying two marks each. Attempt any eight questions. 
  4. Section D: Question No. 27 to Question No. 31 are 5 long answer type questions carrying four marks each. Attempt any three questions.
  • Start each section on a new page.
  • Figures to the right indicate full marks.
  • For each MCQ, correct answer must be written along with its alphabet.
    e.g., (a) ..... / (b ) .... / ( c ) .... / ( d) ..... Only first attempt will be considered for evaluation.
  • Use of log table is allowed. Use of calculator is not allowed.

SECTION-A
[10]1 | Select and write the correct answers to the following questions:
[1]1.i

The average energy per molecule is proportional to ______ 

the pressure of the gas

the volume of the gas

the absolute temperature of the gas

the mass of the gas

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

Which of the following system freely allows the exchange of energy and matter with its environment? 

Closed

Isolated

Open

partially closed

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

Which of the following cannot produce two coherent sources?

Lloyd’s mirror

Fresnel biprism

Young’s double-slit

Prism

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[1]1.iv

The role of inductance is equivalent to ______ 

inertia

force

energy

momentum

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[1]1.v

A particle is moving in a circle with uniform speed. Its motion is ______ 

Periodic and simple harmonic

Non-periodic

Periodic but not simple harmonic

Non-periodic but simple harmonic 

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

In the law of tension, the fundamental frequency of the vibrating string is, ______   

inversely proportional to the square root of tension

directly proportional to the square of tension

directly proportional to the square root of tension

inversely proportional to the density 

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves [0.08] Stationary Waves
[1]1.vii

A dipole is placed in a uniform electric field, its potential energy will be minimum when the angle between its axis and field is ______ 

π

`π/2`

Zero

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

Four resistances 4 Ω, 8Ω, XΩ and 12Ω are connected in a series to form Wheatstone’s network. If the network is balanced, the value of X is ______.

24

18

12

8

6

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

What is the magnetization of a bar magnet having a length of 6 cm and the area of cross-section 5 cm2?

1.2 × 10-4 A/m 

3.3 × 104 A/m 

1.25 × 10-4 A/m 

3.3 × 10-4 A/m

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials [0.15] Magnetism
[1]1.x

A coil of resistance 300Ω and inductance 1.0 H is connected across an alternating voltage of frequency `300/(2pi)` Hz, therefore phase difference between the voltage and current in the circuit is ______ 

180°

90°

45°

Concept: undefined - undefined
Chapter: [0.13] AC Circuits
[8]2 | Answer the following questions:
[1]2.i

What is the energy of an electron in a hydrogen atom for n = ∞?  

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei
[1]2.ii

During ice ballet, while in the outer rounds, why do the dancers outstretch their arms and legs.

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

What are cohesive forces?

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids
[1]2.iv

On what, the values of absorption coefficient, reflection coefficient, and transmission coefficient depend, in addition to the material of the object on which the radiation is an incident? 

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
[1]2.v

What is a thermodynamic process?

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

What does the phase of π/2 indicate in linear S.H.M.? 

Concept: undefined - undefined
Chapter: [0.05] Oscillations
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[1]2.vii

The electron in the hydrogen atom is moving with a speed of 2.5 × 106 m/s in an orbit of a radius of 0.5 Å. What is the Magnetic moment of the revolving electron?    

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials
[1]2.viii

If the peak value of an alternating emf is 15V, what is its mean value over half cycle?

Concept: undefined - undefined
Chapter: [0.13] AC Circuits
SECTION-B
[2]3 | Attempt any eight of the following questions:

Draw a neat labelled diagram of a schematic of the experimental setup for the photoelectric effect. 

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[2]4

Derive the expression for magnetic field produced by a current in a circular arc of wire.

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

Differentiate between the reversible and irreversible processes.

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

Why and where are eddy currents are undesirable? How are they minimized? 

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[2]7

What are stationary waves? Why are they called stationary waves? 

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves
[2]8

Draw a neat labelled circuit diagram for transistors as common emitter amplifiers. 

Concept: undefined - undefined
Chapter:
[2]9

Define surface tension 

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
[2]10

A metal cube of length 4 cm radiates heat at the rate of 10 J/s. Find its emissive power at a given temperature. 

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
[2]11

The magnetic flux through a loop varies according to the relation Φ = 8t2 + 6t + 2, Φ is in milliweber and t is in second. What is the magnitude of the induced emf in the loop at t = 2 seconds?  

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[2]12

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
[2]13

Find the current in a circuit consisting of a coil and a capacitor in series with an A.C source of 110V (r.m.s.), 60Hz. The inductance of a coil is 0.80 H and its resistance is 50Ω. The capacitance of a capacitor is 8µF. 

Concept: undefined - undefined
Chapter: [0.13] AC Circuits
[2]14

The moment of inertia of a body about a given axis is 1.2 kgm2. initially, the body is at rest. For what duration on the angular acceleration of 25 radian/sec2 must be applied about that axis in order to produce rotational kinetic energy of 1500 joule?  

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
SECTION-C
[3]15 | Attempt any eight of the following questions:

Explain the construction and working of Ferry’s black body.

Concept: undefined - undefined
Chapter: [0.03] Kinetic Theory of Gases and Radiation
[3]16

Explain experimental setup for Fraunhofer diffraction with neat diagram. 

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[3]17

Show that even as well as odd harmonics are present as an overtone in modes of vibration of the string. 

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves [0.08] Stationary Waves
[3]18

Obtain an expression for the energy stored in a charged condenser. Express it in different forms. 

Concept: undefined - undefined
Chapter:
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[3]19

Draw the circuit symbol for NPN and PNP transistors. What is the difference in the Emitter, Base, and Collector regions of a transistor? 

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
[3]20

Define angular S.H.M. and obtain its differential equation.

Concept: undefined - undefined
Chapter: [0.05] Oscillations
[3]21

Explain graphically (i) positive work with varying pressure, (ii) negative work with varying pressure, and (iii) positive work at constant pressure. 

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[3]22

A magnet of magnetic moment 3Am2 weighs 75 g. The density of the material of the magnet is 7500 kg/m3. what is magnetization? 

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials [0.15] Magnetism
[3]23

In Fraunhoffer diffraction by a narrow slit, a screen is placed at a distance of 2 m from the lens to obtain the diffraction pattern. If the slit width is 0.2 mm and the first minimum is 5 mm on either side of the central maximum, find the wavelength of light.

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[3]24

The work function of a surface is 3.1 eV. A photon of frequency 1 × 1015 Hz. Is an incident on it. Calculate the incident wavelength is photoelectric emission occurs or not.   

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[3]25

Using the expression for the energy of an electron in the nth orbit, Show that `1/lambda = "R"_"H"(1/"n"^2 - 1/"m"^2),` Where symbols have their usual meaning. 

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei
[3]26

A cell of e.m.f 1.5V and negligible internal resistance is connected in series with a potential meter of length 10 m and the total resistance of 20 Ω. What resistance should be introduced in the resistance box such that the potential drop across the potentiometer is one microvolt per cm of the wire?  

Concept: undefined - undefined
Chapter: [0.09] Current Electricity [0.13] Current Electricity
SECTION-D
[4]27 | Attempt any three of the following questions:

Obtain an expression for maximum safety speed with which a vehicle can be safely driven along a curved banked road. 

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[4]28

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

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids
[4]29
[2]29.i

Find an expression for the power expended in pulling a conducting loop out of a magnetic field.

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[2]29.ii

Two capacitors each of capacity 2 μF are connected in parallel. This system is connected in series with the third capacitor of 12μF capacity. Find the equivalent capacity of the system.  

Concept: undefined - undefined
Chapter:
[2]30
[2]30.i

Derive an expression for axial magnetic field produced by current in a circular loop.

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[2]30.ii

The maximum safe voltage that can be measured using a galvanometer of resistance G is Vm . Find the resistance to be connected in series with the galvanometer so that it becomes a voltmeter of range nVm

Concept: undefined - undefined
Chapter:
[4]31
[2]31.i

Obtain the expression for the applied emf and the effective resistance of the circuit when alternating emf is applied to an LR circuit.

Concept: undefined - undefined
Chapter: [0.13] AC Circuits
[2]31.ii

Calculate the longest wavelength in the Paschen series.

(Given RH =1.097 ×107 m-1)  

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

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