Physics 2016-2017 HSC Science (Electronics) 12th Board Exam Question Paper Solution

Physics
Date & Time: 4th March 2017, 11:00 am
Duration: 3h

 1 | Select and write the most appropriate answer from the given alternatives for each sub-question:
 1.1

Choose the correct option.

If the pressure of an ideal gas decreases by 10% isothermally, then its volume will _______.

Decrease by 9%

Increase by 9%

Decrease by 10%

Increase by 11.11%

Concept: Classification of Gases: Real Gases and Ideal Gases
Chapter: [0.03] Kinetic Theory of Gases and Radiation
 1.2

Stretching of a rubber band results in _______.

(A) no change in potential energy.

(B) zero value of potential energy.

(C) increase in potential energy.

(D) decrease in potential energy.

Concept: Elastic Energy
Chapter: [0.05] Elasticity
 1.3

When the angular acceleration of a rotating body is zero, which physical quantity will be equal to zero?

(A) Angular momentum

(B) Moment of inertia

(C) Torque

Concept: Angular Acceleration
Chapter: [0.01] Circular Motion
 1.4

In a damped harmonic oscillator, periodic oscillations have _______ amplitude.

(B) suddenly increasing

(C) suddenly decreasing

Concept: Simple Harmonic Motion (SHM)
Chapter: [0.04] Oscillations
 1.5

A sine wave of wavelength λ is travelling in a medium. What is the minimum distance between two particles of the medium which always have the same speed?

(A)lambda

(B)lambda/2

(C)lambda/3

(D)lambda/4

Concept: Simple Harmonic Progressive Waves,
Chapter: [0.07] Wave Motion
 1.6

Velocity of transverse wave along a stretched string is proportional to _______. (T = tension
in the string)

(A) sqrtT

(B)  T

(C) 1/sqrtT

(D) 1/T

Concept: Definition of Stress and Strain
Chapter: [0.05] Elasticity
 1.7

Find the wavelength at which a black body radiates maximum energy, if its temperature is 427°C.
(Wein’s constant b = 2.898 × 10-3 mK)

(A) 0.0414 × 10-6m

(B) 4.14 × 10-6m

(C) 41.4 × 10-6m

(D) 414 × 10-6m

Concept: Qualitative Ideas of Blackbody Radiation
Chapter: [0.09] Kinetic Theory of Gases and Radiation
 2 | Attempt any six
 2.1

Explain the concept of centripetal force.

Concept: Dynamics of Uniform Circular Motion - Centripetal Force
Chapter: [0.01] Circular Motion
 2.2

Prove that root mean square velocity of gas molecule is directly proportional to the square root of its absolute temperature.

Concept: Kinetic Theory of Gases- Assumptions
Chapter: [0.09] Kinetic Theory of Gases and Radiation
 2.3

Obtain the differential equation of linear simple harmonic motion.

Concept: Differential Equation of Linear S.H.M.
Chapter: [0.04] Oscillations [0.05] Oscillations
 2.4

Draw a neat, labelled diagram for a liquid surface in contact with a solid, when the angle of contact is acute.

Concept: Capillarity and Capillary Action
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
 2.5

A hole is drilled half way to the centre of the Earth. A body is dropped into the hole. How much will it weigh at the bottom of the hole if the weight of the body on the Earth’s surface is 350 N?

Concept: Acceleration Due to Gravity and Its Variation with Altitude and Depth
Chapter: [0.02] Gravitation
 2.6

A solid sphere of mass 1 kg rolls on a table with linear speed 2 m/s, find its total kinetic energy.

Concept: Rolling Motion
Chapter: [0.01] Rotational Dynamics [0.03] Angular Momentum
 2.7

A transverse wave is produced on a stretched string 0.9 m long and fixed at its ends. Find the speed of the transverse wave, when the string vibrates while emitting the second overtone of frequency 324 Hz.

Concept: Reflection of Transverse and Longitudinal Waves
Chapter: [0.07] Wave Motion
 2.8

A body cools at the rate of 0.5°C / minute when it is 25° C above the surroundings. Calculate the rate of cooling when it is 15°C above the same surroundings.

Concept: Derivation of Boyle’s Law
Chapter: [0.09] Kinetic Theory of Gases and Radiation
 3 | Attempt any THREE
 3.1

Show that period of a satellite revolving around the Earth depends upon mass of the Earth.

Concept: Projection of Satellite
Chapter: [0.02] Gravitation
 3.2

Obtain an expression for torque acting on a rotating body with constant angular acceleration. Hence state the dimensions and SI unit of torque.

Concept: Angular Momentum or Moment of Linear Momentum
Chapter: [0.01] Rotational Dynamics
 3.3

The total energy of free surface of a liquid drop is 2π times the surface tension of the liquid. What is the diameter of the drop? (Assume all terms in SI unit).

Concept: Surface Tension
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
 3.4

A vehicle is moving on a circular track whose surface is inclined towards the horizon at an angle of 10°. The maximum velocity with which it can move safely is 36 km / hr. Calculate the length of the circular track. [π = 3.142]

Concept: Uniform Circular Motion
Chapter: [0.01] Circular Motion
 4 | Attempt any one of the following
 4.1

Prove the law of conservation of energy for a particle performing simple harmonic motion.Hence graphically show the variation of kinetic energy and potential energy w. r. t. instantaneous displacement.

Concept: K.E.(Kinetic Energy) and P.E.(Potential Energy) in S.H.M.
Chapter: [0.04] Oscillations

Two sound notes have wavelengths 83/170 m and 83/172 m in the air. These notes when sounded together produce 8 beats per second. Calculate the velocity of sound in the air and frequencies of the two notes.

Concept: Study of Vibrations of Air Columns
Chapter: [0.06] Superposition of Waves [0.08] Stationary Waves
 4.2

Explain analytically how the stationary waves are formed

Concept: Formation of Stationary Waves on String
Chapter: [0.08] Stationary Waves

Show the formation of stationary waves diagramatically

Concept: Formation of Stationary Waves on String
Chapter: [0.08] Stationary Waves

A mass of 1 kg is hung from a steel wire if radius 0.5 mm and length 4 m. Calculate the extension produced. What should be the area of cross-section of the wire so that elastic  limit is not exceeded? Change in radius is negligible

(Given : g = 9.8 m/s2; Elastic limit of steel is 2.4 x 108 N/m2;Y for steel (Ysteel) = 20 x 1010 N/m2; π = 3.142)

Concept: Behaviour of Metal Wire Under Increasing Load
Chapter: [0.05] Elasticity
 5 | Select and write the most appropriate answer from the given alternatives for each sub-question:
 5.1

If A.C. voltage is applied to a pure capacitor, then voltage across the capacitor _____________.

lags behind the current by phase angle (π/2) rad.

lags behind the current by phase angle π rad.

Concept: Inductance and Capacitance
Chapter: [0.16] Electromagnetic Inductions
 5.2

In Doppler effect of light, the term “red shift” is used for ______.

(A) frequency increase

(B) frequency decrease

(C) wavelength decrease

(D) frequency and wavelength increase

Concept: Beats
Chapter: [0.06] Superposition of Waves [0.07] Wave Motion [0.1] Wave Theory of Light
 5.3

If a watch-glass containing a small quantity of water is placed on two dissimilar magnetic poles, then water ______.

shows a depression in the middle.

shows an elevation in the middle.

surface remains horizontal.

evaporates immediately.

Concept: Motion in Combined Electric and Magnetic Fields - Cyclotron
Chapter: [0.14] Magnetic Effects of Electric Current
 5.4

Any device that converts one form of energy into another is termed as ______.

(A) amplifier

(B) transducer

(D) demodulator

Concept: Elements of a Communication System
Chapter: [0.2] Communication Systems
 5.5

When a p-n-p transistor is operated in saturation region, then its ______.

(A) base-emitter junction is forward biased and base-collector junction is reverse biased.
(B) both base-emitter and base-collector junctions are reverse biased.
(C) both base-emitter and base-collector junctions are forward biased.
(D) base-emitter junction is reverse biased and base-collector junction is forward biased

Concept: Transistor and Characteristics of a Transistor
Chapter: [0.19] Semiconductors
 5.6

In a photon-electron collision ______.
(A) only total energy is conserved.
(B) only total momentum is conserved.
(C) both total energy and total momentum are conserved.
(D) both total momentum and total energy are not conserved

Concept: Nuclear Energy - Nuclear Fusion – Energy Generation in Stars
Chapter: [0.18] Atoms, Molecules and Nuclei
 5.7

If the charge on the condenser of 10°F is doubled, then the energy stored in it becomes __________

zero

twice that of initial energy

half the initial energy

four times the initial energy

Concept: Energy Bands in Solids
Chapter: [0.19] Semiconductors
 6 | Attempt any six of the following
 6.1

Distinguish between the phenomenon of interference and diffraction of light.

Concept: Interference of Light
Chapter: [0.11] Interference and Diffraction
 6.2

Explain how moving coil galvanometer is converted into a voltmeter. Derive the necessary formula.

Concept: Moving Coil Galvanometer
Chapter: [0.14] Magnetic Effects of Electric Current
 6.3

State the advantages of potentiometer over voltmeter.

Concept: Metre Bridge
Chapter: [0.13] Current Electricity
 6.4

Draw a neat, labelled block diagram of a receiver for the detection of amplitude modulated  wave.

Concept: Elements of a Communication System
Chapter: [0.2] Communication Systems
 6.5

A rectangular coil of a moving coil galvanometer contains 100 turns, each having area
15 cm2. It is suspended in the radial magnetic field 0.03 T. The twist constant of suspension
fibre is 15 x 10-10 N-m/degree. Calculate the sensitivity of the moving coil galvanometer.

Concept: Moving Coil Galvanometer
Chapter: [0.14] Magnetic Effects of Electric Current
 6.6

The magnetic flux through a loop is varying according to a relation phi = 6t^2 + 7t + 1 where phi is in milliweber and t is in second. What is the e.m.f. induced in the loop at t = 2 second?

Concept: Electromagnetic Induction
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
 6.7

An unknown resistance is placed in the left gap and resistance of 50 ohm is placed in the right gap of a meter bridge. The null point is obtained at 40 cm from the left end. Determine the unknown resistance.

Concept: Meter Bridge
Chapter: [0.13] Current Electricity
 6.8

Find the frequency of revolution of an electron in Bohr’s 2nd orbit; if the radius and speed of electron in that orbit is 2.14 × 10-10 m and 1.09 × 106 m/s respectively. [π= 3.142]

Concept: Bohr’s Model for Hydrogen Atom
Chapter: [0.18] Atoms, Molecules and Nuclei
 7 | Attempt any THREE:
 7.1

With the help of neat labelled circuit diagram explain the working of half wave rectifier using semiconductor diode. Draw the input and output waveforms.

Concept: Semiconductor Diode
Chapter: [0.19] Semiconductors
 7.2

Explain self induction and mutual induction

Concept: Inductance - Mutual Inductance
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
 7.3

A cube of marble having each side 1 cm is kept in an electric field of intensity 300 V/m. Determine the energy contained in the cube of dielectric constant 8. [Given : ∈0 = 8.85  10–12 C^2/Nm^2]

Concept: Energy of Charged Condenser
Chapter: [0.12] Electrostatics
 7.4

An electron in an atom revolves around the nucleus in an orbit of radius 0.53 Å. If the frequency of revolution of an electron is 9 x109 MHz, calculate the orbital  angular momentum

[Given : Charge on an electron = 1.6 x 10–19 C; Gyromagnetic ratio = 8.8 x 1010 C/kg; π = 3.142]

Concept: Magnetic Dipole Moment of a Revolving Electron
Chapter: [0.15] Magnetism
 8 | Attempt any one of the following
 8.1

Describe biprism experiment to calculate the wavelength of a monochormatic light. Draw the necessary ray diagram.

Concept: Measurement of Wavelength by Biprism Experiment
Chapter: [0.11] Interference and Diffraction

The width of plane incident wavefront is found to be doubled on refraction in denser medium. If it makes an angle of 65° medium. with the normal, calculate the refractive index for the denser medium.

Concept: Measurement of Wavelength by Biprism Experiment
Chapter: [0.11] Interference and Diffraction
 8.2

Draw a neat, labelled energy level diagram for H atom showing the transitions. Explain the series of spectral lines for H atom, whose fixed inner orbit numbers are 3 and 4 respectively.

Concept: Bohr’s Model for Hydrogen Atom
Chapter: [0.18] Atoms, Molecules and Nuclei

The work functions for potassium and caesium are 2.25 eV and 2.14 eV respectively. Is the photoelectric effect possible for either of them if the incident wavelength is 5180 Å?

[Given : Planck’s constant = 6.63 x 10–34 J.s.;
Velocity of light = 3 x 108 m/s; 1 eV = 1.6 x 10–19 J]

Concept: Photoelectric Effect - Hertz’S Observations
Chapter: [0.17] Electrons and Photons

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