# Physics 2013-2014 HSC Science (Electronics) 12th Board Exam Question Paper Solution

Physics
Date: October 2013

[9] 1 | Attempt any THREE
[3] 1.1

Draw a diagram showing all components of forces acting on a vehicle moving on a curved banked road.

Chapter: [0.01] Circular Motion

Write the necessary equation for maximum safety, speed and state the significance of each term involved in it.

Chapter: [0.01] Circular Motion
[3] 1.2

Explain Maxwell distribution of molecular speed with necessary graph.

Concept: Maxwell Distribution
Chapter: [0.09] Kinetic Theory of Gases and Radiation
[3] 1.3

Find the total energy and binding energy of an artificial satellite of mass 800 kg orbiting at a height of 1800 km above the surface of the earth.

[G = 6.67 x 10-11 S.I. units, Radius of earth : R = 6400 km, Mass of earth : M = 6 x 1024 kg]

Concept: Binding Energy and Escape Velocity of a Satellite
Chapter: [0.02] Gravitation
[3] 1.4

Wavelengths of two notes in the air are[70/153]^m and [70/157]^m. Each of  these notes produces 8 beats per second with a tuning fork of fixed frequency. Find the velocity of sound in the air and frequency of the tuning fork.

Concept: Beats
Chapter: [0.06] Superposition of Waves [0.07] Wave Motion [0.1] Wave Theory of Light
[12] 2 | Attempt any SIX
[2] 2.1

Draw a diagram showing different stages of projection for artificial satellite.

Concept: Projection of Satellite
Chapter: [0.02] Gravitation
[2] 2.2

State the law of conservation of angular momentum and explain with a suitable example.

Concept: Angular Momentum or Moment of Linear Momentum
Chapter: [0.01] Rotational Dynamics
[2] 2.3

Define the angle of contact.

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

State any two characteristics of the angle of contact

Concept: Surface Tension
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
[2] 2.4

Draw a neat labelled diagram for Ferry's perfectly black body.

Concept: Qualitative Ideas of Blackbody Radiation
Chapter: [0.09] Kinetic Theory of Gases and Radiation
[2] 2.5

A stone of mass 5 kg. tied to one end of a rope of length 0.8 m, is whirled in a vertical circle. Find the minimum velocity at the highest point and at the midway point.

[g = 9.8 m/s2]

Concept: Equation for Velocity and Energy at Different Positions of Vertical Circular Motion
Chapter: [0.01] Circular Motion
[2] 2.6

The maximum velocity of a particle performing linear S.H.M. is 0.16 m/s. If its maximum acceleration is 0.64 m/s2, calculate its period.

Concept: Differential Equation of Linear S.H.M.
Chapter: [0.04] Oscillations [0.05] Oscillations
[2] 2.7

Water rises to a height 3.2 cm in a glass capillary tube. Find the height to which the same water will rise in another glass capillary having half area of cross section.

Concept: Surface Tension
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
[2] 2.8

A 36 cm long sonometer wire vibrates with frequency of 280 Hz in fundamental mode, when it is under tension of 24.5 N. Calculate linear density of the material of wire.

Concept: Applications of Gauss’s Law
Chapter: [0.12] Electrostatics
[7] 3 | Select and write the most appropriate answer from the given alternatives for each sub-question
[1] 3.1

A thin wire of length L and uniform linear mass density r is bent into a circular coil. M. I. of the coil about tangential axis in its plane is ................................

1. (3rhoL^2)/(8pi^2)
2. (8pi^2)/(3rhoL^2)
3. (3rhoL^3)/(8pi^2)
4. (8pi^2)/(3rhoL^3)

Concept: Physical Significance of M.I (Moment of Inertia)
Chapter: [0.03] Angular Momentum
[1] 3.2

The average displacement over a period of S.H.M. is ....................................

(A = amplitude of S.H.M.)

1. 0
2. A
3. 2A
4. 4A
Concept: Simple Harmonic Motion (SHM)
Chapter: [0.04] Oscillations
[1] 3.3

In which of the following substances, surface tension increases with increase in temperature ?

1. Copper
2. Molten copper
3. Iron
4. Molten iron
Concept: Surface Tension
Chapter: [0.02] Mechanical Properties of Fluids [0.06] Surface Tension
[1] 3.4

The ratio of diameters of two wires of the same material and length is n : 1. If the same load is applied to both the wires then increases in the length of the thin wire is ........................ (n > 1).

1. n1/4 times
2. n1/2 times
3. n times
4. n2 times
Concept: Behaviour of Metal Wire Under Increasing Load
Chapter: [0.05] Elasticity
[1] 3.5

The co-efficient of reflection of an opaque body is 0.16. Its co-efficient of emission is ........................................

1. 0.94
2. 0.84
3. 0.74
4. 0.64
Concept: Interference of Light
Chapter: [0.11] Interference and Diffraction
[1] 3.6

Let velocity of a sound wave be 'v' and 'ω' be angular velocity. The propagation constant of the wave is .................................

1. sqrt(omega/v)
2. sqrt(v/omega)
3. omega/v
4. v/omega
Concept: Equation for Velocity and Energy at Different Positions of Vertical Circular Motion
Chapter: [0.01] Circular Motion
[1] 3.7

The value of end correction for an open organ pipe of radius 'r' is .........................

A) 0.3 r

B) 0.6 r

C) 0.9 r

D) 1.2 r

Concept: Study of Vibrations of Air Columns
Chapter: [0.06] Superposition of Waves [0.08] Stationary Waves
[7] 4 | Attempt any ONE
[7] 4.1

Distinguish between forced vibrations and resonance.

Concept: Free and Forced Vibrations
Chapter: [0.06] Superposition of Waves [0.08] Stationary Waves

Draw neat, labelled diagrams for the modes of vibration of a stretched string in second harmonic and third harmonic.

Concept: Study of Vibrations in a Finite Medium
Chapter: [0.08] Stationary Waves

The area of the upper face of a rectangular block is 0.5 m by 0.5 m and the lower face is fixed. The height of the block is 1 cm. A shearing force applied at the top face produces a displacement of 0.015 mm. Find the strain and shearing force.

(Modulus of rigidity: η = 4.5 x 1010 N/m2)

Concept: Definition of Stress and Strain
Chapter: [0.05] Elasticity
[7] 4.2

Define phase of S.H.M.

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

Show variation of displacement, velocity, and acceleration with phase for a particle performing linear S.H.M. graphically, when it starts from the extreme position.

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

A body starts rotating from rest. Due to a couple of 20 Nm it completes 60 revolutions in one minute. Find the moment of inertia of the body.

Concept: Physical Significance of M.I (Moment of Inertia)
Chapter: [0.03] Angular Momentum
[9] 5 | Attempt any THREE
[3] 5.1

In a biprism experiment, a slit is illuminated by a light of wavelength 4800 Å The distance between the slit and biprism is 15 cm and the distance between the biprism and eyepiece is 85 cm. If the distance between virtual sources is 3 mm, determine the distance between 4th bright band on one side and 4th dark band on the other side of the central bright band.

Concept: Measurement of Wavelength by Biprism Experiment
Chapter: [0.11] Interference and Diffraction
[3] 5.2

Six capacitors of capacities 5, 5. 5, 5, 10 and X μ F are connected as shown in the network in the diagram.

Find :

1. The value of X if the network is balanced, and
2. The resultant capacitance between A and C.

Concept: Inductance and Capacitance
Chapter: [0.16] Electromagnetic Inductions
[3] 5.3

Show that the current flowing through a moving coil galvanometer is directly proportional to the angle of deflection of coil.

Concept: Moving Coil Galvanometer
Chapter: [0.14] Magnetic Effects of Electric Current
[3] 5.4

Explain the formation of energy band diagram in case of conductor and semiconductor.

Concept: Energy Bands in Solids
Chapter: [0.19] Semiconductors
[12] 6 | Attempt any SIX
[2] 6.1

Draw a neat labelled diagram showing the plane of vibration and plane of polarisation for polarised light.

Concept: Polarisation
Chapter: [0.1] Wave Theory of Light
[2] 6.2

State the conditions to get steady interference pattern.

Concept: Interference of Light
Chapter: [0.11] Interference and Diffraction
[2] 6.3

In a hydrogen atom, an electron carrying charge 'e' revolves in an orbit of radius 'r' with speed 'v'. Obtain an expression for the magnitude of magnetic moment of a revolving electron.

Concept: Current Loop as a Magnetic Dipole and Its Magnetic Dipole Moment
Chapter: [0.15] Magnetism
[2] 6.4

Draw a neat, labelled block diagram for a generalised communication system.

Concept: Elements of a Communication System
Chapter: [0.2] Communication Systems
[2] 6.5

A red light of wavelength 6400A° in air has wavelength 4000A° in glass. If the wavelength of violet light in air is 4400A°, find its wavelength in glass.

(Assume that μ≈ μv)

Concept: Measurement of Wavelength by Biprism Experiment
Chapter: [0.11] Interference and Diffraction
[2] 6.6

The magnetic moment of a magnet of dimensions 5 cm × 2.5 cm × 1.25 cm is 3 Am2. Calculate the intensity of magnetization.

Concept: Magnetisation and Magnetic Intensity
Chapter: [0.15] Magnetism
[2] 6.7

An A.C. circuit consists of inductor of inductance 125 mH connected in parallel with a capacitor of capacity 50 μF. Determine the resonant frequency.

Concept: Resonant Circuit
Chapter: [0.16] Electromagnetic Inductions
[2] 6.8

Calculate the de Broglie wavelength of an electron moving with - of the speed of light in vacuum (Negelct relativistic effect)

(Planck's constant: h = 6.63 x 10-34 Js, Mass of electron : m = 9.11 x 10-28 g)

Concept: de-Broglie Relation
Chapter: [0.18] Atoms, Molecules and Nuclei
[7] 7 | Select and write the most appropriate answer from the given alternatives for each sub-question
[1] 7.1

If numerical aperture of a microscope is increased, then its .......................................... .

1. resolving power decreases
2. limit of resolution decreases
3. resolving power remains constant
4. limit of resolution increases.
Concept: Resolving Power of a Microscope and Telescope
Chapter: [0.11] Interference and Diffraction
[1] 7.2

A solenoid of length 1.5 m and 4 cm in diameter possesses 10 turns per metre. A current of 5 A is flowing through it. The magnetic induction at a point inside the solenoid along the axis is ............................. .

0 = 4π × 10-7 Wb/Am)

1. π  × 10-5 T
2. 2π × 10-5 T
3. 3π × 10-5 T
4. 4π × 10-5 T
Concept: Electromagnetic Induction
Chapter: [0.12] Electromagnetic Induction [0.16] Electromagnetic Inductions
[1] 7.3

Kirchhoff's voltage law and current law are respectively in accordance with the conservation of .................................. .

1. charge and momentum
2. charge and energy
3. energy and charge
4. energy and momentum
Concept: Kirchhoff’s Rules
Chapter: [0.13] Current Electricity
[1] 7.4

When radiations of wavelength λ1 and λ2 are incident on certain photosensitive, such that E1 > E2 . Then Planck's constant 'h' is ......................... .

(C = Velocity of light).

((E_1 - E_2)(lambda_1 - lambda_2))/(C(lambda_1 * lambda_2))

((E_1 - E_2)lambda_1C)/((lambda_1 - lambda_2)lambda_2)

((E_1 - E_2)lambda_1lambda_2)/(C(lambda_2 - lambda_1))

((lambda_1 - lambda_2)C)/((E_1 - E_2)lambda_1 * lambda_2)

Concept: Einstein’s Equation - Particle Nature of Light
Chapter: [0.17] Electrons and Photons
[1] 7.5

Colour of light emitted by LED depends upon__________________ .

1. its forward bias
2. its reverse bias
3. the band gap of the material of semiconductor
4. its size
Concept: Special Purpose P-n Junction Diodes
Chapter: [0.19] Semiconductors
[1] 7.6

Line of sight propagation is also called as_________________ .

sky wave

ground wave

sound wave

space wave

Concept: Propagation of Electromagnetic Waves
Chapter: [0.2] Communication Systems
[1] 7.7

Two parallel plates separated by distance d are kept at potential difference V volt. A charge q of mass m enters in parallel plates with some velocity. The acceleration of the charged particle will be_____________________________ .

1. q V/d m
2. d m/ q V
3. q m/d V
4. d V/q m
Concept: Angular Acceleration
Chapter: [0.01] Circular Motion
[7] 8 | Attempt any ONE
[7] 8.1

Explain the phenomenon of self induction

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

Explain the phenomenon of mutual induction.

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

Define coefficient of self induction.

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

Define coefficient of mutual induction.

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

Write the SI unit and dimention of of co-efficient of self induction

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

A potentiometer wire has a length of 4 m and a resistance of 5 Ω. What resistance should be connected in series with a potentiometer wire and a cell of e.m.f. 2 V having internal resistance 1 Ω to get a potential gradient of 10-3 V/cm ?

Concept: Metre Bridge
Chapter: [0.13] Current Electricity
[7] 8.2

Derive an expression for the total energy of electron in ‘n' th Bohr orbit. Hence show that energy of the electron is inversely proportional to the square of principal quantum number. Also define binding energy.

Concept: Mass-energy and Nuclear Binding Energy - Nuclear Binding Energy
Chapter: [0.15] Structure of Atoms and Nuclei [0.18] Atoms, Molecules and Nuclei

The photoelectric threshold wavelength of a metal is 230 nm. Determine the maximum kinetic energy in joule and in eV of the ejects electron for the metal surface when it is exposed to a radiation of wavelength 180 nm.

[Planck’s constant : h = 6.63 * 10-34 Js, Velocity of light : C = 3 * 108 m/s.]

Concept: Einstein’s Equation - Particle Nature of Light
Chapter: [0.17] Electrons and Photons

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