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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: 20th July 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 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 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 calculators 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:
    1. g = 9.8 m/s2
    2. π = 3.142
    3. μ0 = 4π × 10-7 Wb/Am
    4. c = 1.6 × 10-19 C

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

Atoms having the same number of protons but different number of neutrons are called ______.

isotopes

isobars

isotones

isomers

Concept: undefined - undefined
Chapter:
[1]1.ii

The molecules on the surface of liquid have ______.

minimum kinetic energy

minimum potential energy

maximum kinetic energy

maximum potential energy

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

If coefficient of emission is ‘e’ for a perfectly black body and coefficient of transmission is ‘t’ then, ______.

e = 0, t = 1

 e = 1, t = 1

e = 0, t = 0 

e = 1, t = 0

Concept: undefined - undefined
Chapter:
[1]1.iv

An LED emits visible light when it's ______.

Junction is reverse biased.

Depletion region widens.

Holes and electrons recombine.

The junction becomes hot.

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

An electron, a proton, an α-particle and a hydroger atom are moving with the same kinetic energy. The associated de Broglie wavelength will be the longest for ______.

electron

proton

α-particle

hydrogen atom

Concept: undefined - undefined
Chapter:
[1]1.vi
Cyclotron is used to accelerate ______.

electrons

neutrons

positive ions

negative ions

Concept: undefined - undefined
Chapter: [0.14] Magnetic Effects of Electric Current
[1]1.vii

The unit henry is equal to ______.

Watt

ohm-second

dyne

Wb/m2

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

The ratio of emissive power of a perfect black body at 927°C and 327°C is ______.

2 : 1

4 : 1

8 : 1

16 : 1

Concept: undefined - undefined
Chapter:
[1]1.ix

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.x

When an air column in a pipe closed at one end vibrates such that two nodes are formed in it, the frequency of its vibration is ______.

two times the fundamental frequency

three times the fundamental frequency

four times the fundamental frequency

five times the fundamental frequency

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

What is the radius of gyration of a solid sphere of radius R about its diameter?

Concept: undefined - undefined
Chapter:
[1]2.ii

Obtain the differential equation of linear simple harmonic motion.

Concept: undefined - undefined
Chapter: [0.04] Oscillations [0.05] Oscillations
[1]2.iii

State any one method of polarization of light.

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

What is the value of resistance for an ideal voltmeter?

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

What are eddy currents?

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[1]2.vi

What is a logic gate?

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

A body of mass 0.2 kg performs linear S.H.M. It experiences a restoring force of 0.4 N when its displacement from the mean position is 8 cm. Determine force constant.

Concept: undefined - undefined
Chapter:
[1]2.viii

Determine the work done in bringing a charge of 5 µC from infinity to the point A. The potential at point A is 400 kV.

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

Show that the average energy per molecule is proportional to the absolute temperature T of the gas. 

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

Explain the cyclic process. 

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics
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[2]5

Distinguish between progressive waves and stationary waves.

Concept: undefined - undefined
Chapter:
[2]6

Explain Biot Savart's Law.

Concept: undefined - undefined
Chapter: [0.1] Magnetic Fields Due to Electric Current
[2]7

Draw a neat and labelled diagram of van de Graff generator.

Concept: undefined - undefined
Chapter:
[2]8
[1]8.i

State the formula for the following:

Average power in LCR circuit

Concept: undefined - undefined
Chapter:
[1]8.ii

State the formula for the following:

Q-factor 

Concept: undefined - undefined
Chapter:
[2]9

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
[2]10

A galvanometer has a resistance of 100 Ω and its full scale deflection current is 0.2 mA, what resistance should be added to it to have a range of 0-10 V?

Concept: undefined - undefined
Chapter:
[2]11

An electron in hydrogen atom-stays in its second orbit for 10−8 s How many revolutions will it make around the nucleus in that time?

[Velocity of electron in second orbit = 1.07 × 106 m/s, radius of electron in second orbit = 2.14 × 10−10 m]

Concept: undefined - undefined
Chapter:
[2]12

A torque of magnitude 400 Nm acting on a body of mass 40 kg produces an angular acceleration of 20 rad/s2. Calculate the moment of inertia of the body.

Concept: undefined - undefined
Chapter:
[2]13

A bar magnet of moment of inertia of 500 gcm2 oscillates with a time period of 3.142 seconds in a horizontal plane. What is its magnetic moment if the horizontal component of earth’s magnetic field is 4 × 10−5T?

Concept: undefined - undefined
Chapter:
[2]14

A telescope has an objective of diameter 2.5 m. What is its angular resolution when observed at 7500 Å?

Concept: undefined - undefined
Chapter:
SECTION - C : 24 Marks
[3]15 | Attempt any EIGHT questions of the following:
[1]15.i

Define surface tension 

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
[2]15.ii

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

Concept: undefined - undefined
Chapter: [0.02] Mechanical Properties of Fluids
[3]16

Show that all harmonics are present on a stretched string between two rigid supports.

Concept: undefined - undefined
Chapter: [0.08] Stationary Waves
[3]17

Derive an expression for the impedance of a series LCR circuit connected to an AC power supply.

Concept: undefined - undefined
Chapter:
[3]18
[1]18.i

What is Curie temperature? 

Concept: undefined - undefined
Chapter:
[2]18.ii

Distinguish between diamagnetic and paramagnetic substances

Concept: undefined - undefined
Chapter: [0.11] Magnetic Materials [0.15] Magnetism
[3]19

Obtain the condition for bridge balance in Wheatstone’s bridge.

Concept: undefined - undefined
Chapter: [0.13] Current Electricity
[3]20
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[1]20.i

What is ionization energy?

Concept: undefined - undefined
Chapter:
[2]20.ii

Assuming expression for energy of electron, derive an expression for wavelength of spectral lines in hydrogen atom.

Concept: undefined - undefined
Chapter:
[3]21
[1]21.i

What is voltage regulation?

Concept: undefined - undefined
Chapter:
[3]21.ii

Explain, with the help of a circuit diagram, the principle and working of a Zener diode as voltage regular.

Concept: undefined - undefined
Chapter: [0.19] Semiconductors
[3]22

A spherical drop of oil falls at a constant speed of 9.8 cm/s in steady air. Calculate the radius of the drop. The density of oil is 0.9013 g/cm3, density of air is 0.0013 g/cm3 and the coefficient of viscosity of air is 1.8 × 10-4 poise.

Concept: undefined - undefined
Chapter:
[3]23

A search coil having 2000 turns with area 1.5 cm2 is placed in a magnetic field of 0.60 T. The coil is moved rapidly out of the field in a time of 0.2 s. Calculate the induced emf in the search coil.

Concept: undefined - undefined
Chapter: [0.12] Electromagnetic Induction
[3]24

At what distance from the mean position is the kinetic energy of a particle performing S.H.M. of amplitude 10 cm, three times its potential energy?

Concept: undefined - undefined
Chapter:
[3]25

When 2 × 1010 electrons are transferred from one conductor to another, a potential difference of 20 V appears between the conductors. Find the capacitance of the two conductors.

Concept: undefined - undefined
Chapter:
[3]26

The magnetic field at the centre of a circular current carrying loop of radius 12 cm is 6.4 × 10-6 T. What is the magnetic moment of the loop?

Concept: undefined - undefined
Chapter:
SECTION - D : 12 Marks
[4]27 | Attempt any THREE questions of the following:
[2]27.i

Derive an expression for minimum speed to perform stunts in well of death.

Concept: undefined - undefined
Chapter:
[2]27.ii

Part of a racing track is to be designed for a radius of curvature of 288 m. We are not recommending the vehicles to drive faster than 216 km/hr. With what angle should the road be tilted?

Concept: undefined - undefined
Chapter:
[4]28

Draw a p-V diagram and explain the concept of positive and negative work. Give one example each.

Concept: undefined - undefined
Chapter: [0.04] Thermodynamics [0.09] Kinetic Theory of Gases and Radiation
[4]29
[2]29.i

Derive the ratio of two specific heat capacities of monoatomic, diatomic and triatomic molecules.

Concept: undefined - undefined
Chapter: [0.09] Kinetic Theory of Gases and Radiation
[2]29.ii

Find kinctic energy of 4000 cc of a gas at S.T.P.

[Given: Standard pressure is 1.013 × 105 N/m2]

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

What is the photoelectric effect?

Concept: undefined - undefined
Chapter: [0.14] Dual Nature of Radiation and Matter
[2]30.ii

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
[4]31
[2]31.i

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

Concept: undefined - undefined
Chapter: [0.07] Wave Optics
[2]31.ii

Green light of wavelength 5100 Å from a narrow slit is incident on a double slit. If the overall separation of 10 fringes on a screen 2 m away is 2 cm. Find the slit separation.

Concept: undefined - undefined
Chapter:

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