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Physics Model set 1 shaalaa.com 2021-2022 HSC Science (General) 12th Standard Board Exam Question Paper Solution

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

Academic Year: 2021-2022
Date: March 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

A stone is tied to one end of a string. Holding the other end, the string is whirled in a horizontal plane with progressively increasing speed. It breaks at some speed because ______ 

The gravitational forces of the earth are greater than the tension in the string 

The required centripetal force is greater than the tension sustained by the string

The required centripetal force is lesser than the tension in the string

The centripetal force is greater than the weight of the stone

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

The surface tension of a liquid at critical temperature is ______ 

Infinity

Zero

Same as any other temperature

Can not be determined

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

The integral multiple of fundamental frequencies are ______ 

beats

resonance

overtones

harmonics

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

Two S.H.M.’s have zero phase difference and equal amplitudes A. The resultant amplitude on their composition will be ______ 

2 A

zero

`sqrt2`A

`sqrt"2A"`

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

A strong magnetic field is applied to a stationary electron. Then the electron ______ 

moves in the direction of the field

remained stationary

moves perpendicular to the direction of the field

moves opposite to the direction of the field

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

In which of the following devices, the eddy current is not used ______ 

Electromagnet

Induction furnace

Electric heater

Magnetic breaking in train

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

The force between two parallel current-carrying conductors is F. If the current in each conductor is doubled, then the force between them becomes ______  

4F

2F

F

F/4

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

Calculate the value of λmax for radiation from a body having a surface temperature of 3000 K. (b = 2.897 x 10-3 m K) 

9935 Å

9656 Å

9421 Å

9178 Å

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

Planck's constant is 6.6 × 10-34 Js. The momentum of each photon is given radiation Is 3.3 × 10-29 kg/s. The λ of radiation is ______.

2 × 1010

2 × 107

2 × 105

2 × 10-5

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

In Hydrogen, the electron jumps from the fourth orbit to the second orbit. The wavenumber of the radiations emitted by an electron is ______  

`"R"/16`

`(3"R")/16`

`(5"R")/16`

`(7"R")/16`

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

State the equation for impedance Z in an A.C. circuit.

Concept: undefined - undefined
Chapter: [0.13] AC Circuits
[1]2.ii

What is the relation between phase difference and Optical path in terms of speed of light in a vacuum?

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

What are linear isotropic dielectrics?

Concept: undefined - undefined
Chapter: [0.08] Electrostatics
[1]2.iv

Are Kirchhoff’s laws applicable to both AC and DC circuits?

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

Above what temperature, all bodies radiate electromagnetic radiation? 

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

What is Solenoid?

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

The minimum frequency for photoelectric effect on metal is 7 × 1014 Hz, Find the work function of the metal. 

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

Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, then what is the ratio of their angular velocity.

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
SECTION-B
[2]3 | Attempt any eight of the following questions:

Define linear S.H.M.

Concept: undefined - undefined
Chapter: [0.05] Oscillations
[2]4
[1]4.i

What is polar dielectrics? 

Concept: undefined - undefined
Chapter: [0.08] Electrostatics
[1]4.ii

What is nonpolar dielectric? 

Concept: undefined - undefined
Chapter: [0.08] Electrostatics
[2]5

State properties of an ideal fluid.

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids
[2]6

State any two advantages and disadvantages of a photodiode. 

Concept: undefined - undefined
Chapter: [0.16] Semiconductor Devices
[2]7

Draw a neat labelled ray diagram of the Fresnel Biprism experiment showing the region of interference. 

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[2]8

State any two characteristics of a series LCR AC resonance circuit.

Concept: undefined - undefined
Chapter: [0.13] AC Circuits
[2]9

Answer in brief.

State the law of simple pendulum.

Concept: undefined - undefined
Chapter: [0.05] Oscillations
[2]10

Four resistances 6Ω, 6Ω, 6Ω and 18Ω form a Wheatstone bridge. Find the resistance which connected across the 18Ω resistance will balance the network.

Concept: undefined - undefined
Chapter: [0.09] Current Electricity [0.13] Current Electricity
[2]11

3 mole of a gas at temperature 400 K expands isothermally from an initial volume of 4 litres to a final volume of 8 litres. Find the work done by the gas. (R = 8.31 J mol-1 K-1)  

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[2]12

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]13

A bucket containing water is tied to one end of a rope 5 m long and it is rotated in a vertical circle about the other end. Find the number of rotations per minute in order that the water in the bucket may not spill.

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
[2]14

Starting with 𝑟 = `(ε_0h^2n^2)/(pimZe^2),` Show that the speed of an electron in nth orbit varies inversely to principal quantum number. 

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei
SECTION-C
[3]15 | Attempt any eight of the following questions:

Find relation for Bohr magneton.

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials
[3]16

Show that for radioactive decay N(t) = `"N"_"O" "e"^{-λ"t"}`, where symbols have their usual meaning.

Concept: undefined - undefined
Chapter: [0.15] Structure of Atoms and Nuclei
[3]17

Draw the circuit diagram of a half-wave rectifier. Hence explain its working. 

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

Derive an expression for the kinetic energy of a rotating body with uniform angular velocity. 

Concept: undefined - undefined
Chapter: [0.01] Rotational Dynamics
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[3]19

What is the photoelectric effect? Define stopping potential and photoelectric work function. 

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[3]20

Derive an expression for the effective capacitance of three parallel plate capacitors connected in series.

Concept: undefined - undefined
Chapter:
[3]21

How is potential gradient measured? Explain.

Concept: undefined - undefined
Chapter: [0.09] Current Electricity [0.13] Current Electricity
[3]22

Two wires of the same material and same cross-section are stretched on a sonometer. One wire is loaded with 1 kg and another is loaded with 9 kg. The vibrating length of the first wire is 60 cm and its fundamental frequency of vibration is the same as that of the second wire. Calculate the vibrating length of the other wire. 

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves
[3]23

A Rectangular coil of 10 turns, each of area 0.05 m2, is suspended freely in a uniform magnetic field of induction 0.01 T. A current of 30 µA is passed through it.

(i) What is the magnetic moment of the coil?

(ii) What is the maximum torque experienced by the coil?

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[3]24

A radio can tune over the frequency range of a portion of the MW broadcast band (800kHz -1200kHz). If its LC circuit has an effective inductance of 200mH, what must be the range of its variable condenser? 

Concept: undefined - undefined
Chapter: [0.13] AC Circuits [0.16] Electromagnetic Inductions
[3]25

The velocity of the three molecules is 2 km s-1, 4 km s-1, 6 km s-1. Find (i) mean square velocity (ii) root mean square velocity. 

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

One gram of water (1 cm3) becomes 1671 cm3 of steam at a pressure of 1 atm. The latent heat of vaporization at this pressure is 2256 J/g. Calculate the external work and the increase in internal energy. 

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
SECTION-D
[4]27 | Attempt any three of the following questions:

Describe the construction and working of a transformer with a neat labelled diagram.

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

Derive Laplace’s law for spherical membrane of bubble due to surface tension.

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
[4]29
[2]29.i

Explain the thermodynamics of the isochoric process.  

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
[2]29.ii

1000 calories of radiant heat are incident on a body. If the body absorbs 400 calories of heat, find the coefficient of emission of the body. 

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

Explain constructive and destructive interference with the help of a diagram?

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[2]30.ii

Waves produced by two vibrators in a medium have wavelength 2 m and 2.1 m respectively. When sounded together they produce 8 beats/second. Calculate wave velocity and frequencies of the vibrators.

Concept: undefined - undefined
Chapter: [0.06] Superposition of Waves [0.08] Stationary Waves
[4]31
[2]31.i

Using Ampere's law, obtain an expression for the magnetic induction near a current-carrying straight infinitely long wire. 

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
[2]31.ii

An electron in an atom is revolving around the nucleus in a circular orbit of a radius of 5.3 x 10-11 m, with a speed of 2 x 106 m/s. Find the resultant orbital magnetic moment and angular momentum of the electron. [e = 1.6 x 10-19 C, me= 9.1 x 10-31 kg]

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

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