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Physics 2014-2015 HSC Science (Computer Science) 12th Board Exam Question Paper Solution

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Physics
2014-2015 March
Marks: 70

[7]1 | Select and write the most appropriate answer from the given alternatives for each sub-question :
[1]1.1

The period of a conical pendulum in terms of its length (l), semivertical angle (θ) and acceleration due to gravity (g) is:

(a)`1/(2pi)sqrt((l costheta)/g)`

(b)`1/(2pi)sqrt((l sintheta)/g)`

(c)`4pisqrt((lcostheta)/(4g))`

(d)`4pisqrt((l tantheta)/g)`

Concept: Some Systems Executing Simple Harmonic Motion
Chapter: [4] Oscillations
[1]1.2

The kinetic energy of a rotating body depends upon................

  1. distribution of mass only.
  2. angular speed only.
  3. distribution of mass and angular speed.
  4. angular acceleration only.
Concept: Definition of M.I., K.E. of Rotating Body
Chapter: [3] Angular Momentum
[1]1.3

If the metal bob of a simple pendulum is replaced by a wooden bob of the same size, then its time period will.....................

  1. increase
  2. remain same
  3. decrease
  4. first increase and then decrease.
Concept: Some Systems Executing Simple Harmonic Motion
Chapter: [4] Oscillations
[1]1.4

The graph between applied force and change in the length of wire within elastic limit is a.......................

  1. straight line with positive slope.
  2. straight line with negative slope.
  3. curve with positive slope.
  4. curve with negative slope.
Concept: Definition of Stress and Strain
Chapter: [5] Elasticity
[1]1.5

When longitudinal wave is incident at the boundary of denser medium, then............................

  1. compression reflects as a compression.
  2. compression reflects as a rarefaction.
  3. rarefaction reflects as a compression.
  4. longitudinal wave reflects as transverse wave.
Concept: Reflection of Transverse and Longitudinal Waves
Chapter: [7] Wave Motion
[1]1.6

The dimensions of universal gravitational constant are........................

a. [L1M0T0]

b. [L2M1T0]

c. [L-1M1T-2]

d. [L3M-1T-2]

Concept: Newton’s Law of Gravitation
Chapter: [2] Gravitation
[1]1.7

Two copper spheres of radii 6 cm and 12 cm respectively are suspended in an evacuated enclosure. Each of them are at a temperature 15°C above the surroundings. The ratio of their rate of loss of heat is.................

  1. 2:1
  2. 1:4
  3. 1:8
  4. 8:1
Concept: Temperature and Heat
Chapter: [9] Kinetic Theory of Gases and Radiation
[12]2 | Attempt any Six
[2]2.1

In circular motion, assuming `bar v = bar w xx bar r` , obtain an expression for the resultant acceleration of a particle in terms of tangential and radial component.

Concept: Radial Acceleration
Chapter: [1] Circular Motion
[2]2.2

Explain why an astronaut in an orbiting satellite has a feeling of weightlessness.

Concept: Weightlessness
Chapter: [2] Gravitation
[2]2.3
[1]2.3.1

State the theorem of parallel axes about moment of inertia.

Concept: Physical Significance of M.I (Moment of Inertia)
Chapter: [3] Angular Momentum
[1]2.3.2

State the theorem of perpendicular axes about moment of inertia.

Concept: Theorems of Perpendicular and Parallel Axes
Chapter: [3] Angular Momentum
[2]2.4

State Wein's displacement law

Concept: Wein'S Displacement Law
Chapter: [9] Kinetic Theory of Gases and Radiation
[1]2.4.1

State Wein's displacement law

Concept: Wein'S Displacement Law
Chapter: [9] Kinetic Theory of Gases and Radiation
[1]2.4.2

State the First law of thermodynamics.

Concept: Chemical Thermodynamics and Energetic - First Law of Thermodynamics
Chapter: [9] Kinetic Theory of Gases and Radiation
[2]2.5

A particle in S.H.M. has a period of 2 seconds and amplitude of 10 cm. Calculate the acceleration when it is at 4 cm from its positive extreme position.

Concept: Simple Harmonic Motion
Chapter: [4] Oscillations
[2]2.6

The surface tension of water at 0°C is 75.5 dyne/cm. Calculate surface tension of water at 25°C.

(α for water = 2.7×10-3/°C)

Concept: Surface Tension
Chapter: [6] Surface Tension
[2]2.7

The spin dryer of a washing machine rotating at 15 r.p.s. slows down to 5 r.p.s. after making 50 revolutions. Find its angular acceleration.

Concept: Angular Acceleration
Chapter: [1] Circular Motion
[2]2.8

Calculate the period of revolution of Jupiter around the Sun. The ratio of the radius of Jupiter’s orbit to that of the Earth’s orbit is 5.

(Period of revolution of the Earth is 1 year)

Concept: Vertical Circular Motion Due to Earth’s Gravitation
Chapter: [1] Circular Motion
[9]3 | Attempt any Three
[3]3.1

Derive an expression for excess pressure inside a drop of liquid.

Concept: Surface Tension
Chapter: [6] Surface Tension
[3]3.2

Explain what is Doppler effect in sound

Concept: Beats
Chapter: [7] Wave Motion [10] Wave Theory of Light

State any four applications of Doppler effect

Concept: Beats
Chapter: [7] Wave Motion [10] Wave Theory of Light
[3]3.3

Calculate the average molecular kinetic energy :

(a) per kilomole, (b) per kilogram, of oxygen at 27°C.

(R = 8320 J/k mole K, Avogadro's number = 6*03 x 1026 molecules/K mole)

Concept: K.E.(Kinetic Energy) and P.E.(Potential Energy) in S.H.M.
Chapter: [4] Oscillations
[3]3.4

A uniform steel rod of 5 mm2 cross section is heated from 0°C to 25°C. Calculate the force which must be exerted to prevent it from expanding. Also calculate strain.

(α for steel = 12 x 10-6/°C and γ for steel = 20 x 101ON/m2)

Concept: Definition of Stress and Strain
Chapter: [5] Elasticity
[7]4 | Attempt any One
[7]4.1

What are the forced vibrations and resonance?

Concept: Free and Forced Vibrations
Chapter: [8] Stationary Waves

Show that only odd harmonics are present in an air column vibrating in a pipe closed at one end.

Concept: Free and Forced Vibrations
Chapter: [8] Stationary Waves

A stretched wire emits a fundamental note of frequency 256 Hz. Keeping the stretching force constant and reducing the length of wire by 10 cm, the frequency becomes 320 Hz. Calculate the original length of wire.

Concept: Free and Forced Vibrations
Chapter: [8] Stationary Waves
[7]4.2

Obtain an expression for potential energy of a particle performing simple harmonic motion. Hence evaluate the potential energy

  1. at mean position and
  2. at extreme position.
Concept: K.E.(Kinetic Energy) and P.E.(Potential Energy) in S.H.M.
Chapter: [4] Oscillations
[7]5
[1]5.1

Electric field intensity in free space at a distance ‘r’ outside the charged conducting sphere of radius ‘R’ in terms of surface charge density ‘ a ’ is............................

(a)`sigma / in_0[R/r]^2`

(b)`in_0/sigma[R/r]^2`

(c)`R/r[sigma/in_0]^2`

(d)`R/sigma[r/in_0]^2`

 

Concept: Electromagnetic Induction
Chapter: [16] Electromagnetic Inductions
[1]5.2

Instrument which can measure terminal potential difference as well as electro motive force (e.m. f.) is................................

  1. Wheatstone’s meter bridge
  2. Voltmeter
  3. Potentiometer
  4. Galvanometer
Concept: Metre Bridge
Chapter: [13] Current Electricity
[1]5.3

If the frequency of incident light falling on a photosensitive material is doubled, then the kinetic energy of the emitted photoelectron will‘be........................................

  1. same as its initial value
  2. two times its initial value
  3. more than two times its initial value
  4. less than two times its initial value
Concept: K.E.(Kinetic Energy) and P.E.(Potential Energy) in S.H.M.
Chapter: [4] Oscillations
[1]5.4

Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to..................................

  1. 1/n2
  2. 1/n
  3. n
  4. n2
Concept: Bohr'S Model for Hydrogen Atom
Chapter: [18] Atoms, Molecules and Nuclei
[1]5.5

In a semiconductor, acceptor impurity is.................................

  1. antimony
  2. indium
  3. phosphorous
  4. arsenic
Concept: Electrical Properties - Applications of N-type and P-type Semiconductors
Chapter: [19] Semiconductors
[1]5.6

The power radiated by linear antenna of length T is proportional to........................

(λ= wavelength)

  1. `lambda/ l`
  2. `[lambda/l]^2`
  3. `l/lambda`
  4. `[l/lambda]^2`
Concept: Need for Modulation and Demodulation
Chapter: [20] Communication Systems
[1]5.7

The numerical aperture of objective of a microscope is 0.12. The limit of resolution, when light of wavelength 6000A is used to view an object is.......................

  1. 0.25 * 10-7m
  2. 2.5 * 10-7m
  3. 25 * 10-7m
  4. 250 * 10-7m

 

Concept: Resolving Power of a Microscope and Telescope
Chapter: [11] Interference and Diffraction
[12]6 | Attempt any Six
[2]6.1

What is a Polaroid?

Concept: Polarisation
Chapter: [10] Wave Theory of Light

State two uses of Polaroid.

Concept: Polarisation
Chapter: [10] Wave Theory of Light
[2]6.2

Draw a neat and labelled diagram of suspended coil type moving coil galvanometer.

Concept: Moving Coil Galvanometer
Chapter: [14] Magnetic Effects of Electric Current
[2]6.3

Define Magnetization

Concept: Magnetisation and Magnetic Intensity
Chapter: [15] Magnetism

Define Magnetic intensity.

Concept: Magnetisation and Magnetic Intensity
Chapter: [15] Magnetism
[2]6.4

Draw a block diagram of generalized communication system.

Concept: Elements of a Communication System
Chapter: [20] Communication Systems
[2]6.5

A solenoid 3.142m long and 5.0 cm in diameter has two layers of windings of 500 turns each and carries a current of 5A. Calculate the magnetic induction at its centre along the axis.

Concept: Inductance and Capacitance
Chapter: [16] Electromagnetic Inductions
[2]6.6

A circular coil of 300 turns and average area 5 * 10-3m2 carries a current of 15A. Calculate the magnitude of magnetic moment associated with the coil.

Concept: Magnetic Dipole Moment of a Revolving Electron
Chapter: [15] Magnetism
[2]6.7

The magnetic flux through a loop varies according to the relation Φ = 8t2 + 6t + C, where ‘C’ is constant, 'Φ' is in milliweber and 't' is in second. What is the magnitude of induced e.m.f. in the loop at t = 2 seconds.

Concept: Electromagnetic Induction
Chapter: [16] Electromagnetic Inductions
[2]6.8

An electron is orbiting in 5th Bohr orbit. Calculate ionisation energy for this atom, if the ground state energy is -13.6 eV.

Concept: Bohr'S Model for Hydrogen Atom
Chapter: [18] Atoms, Molecules and Nuclei
[9]7 | Attempt any Three
[3]7.1

Obtain an expression for the radius of Bohr orbit for H-atom.

Concept: Bohr'S Model for Hydrogen Atom
Chapter: [18] Atoms, Molecules and Nuclei
[3]7.2

What are α and β parameters for a transistor? Obtain a relation between them.

Concept: Transistor and Characteristics of a Transistor
Chapter: [19] Semiconductors
[3]7.3

Two metal spheres having charge densities 5μC/m2 and -2μC/m2 with radii 2mm and  1mm respectively are kept in a hypothetical closed surface. Calculate total normal electric induction over the closed surface.

Concept: Inductance and Capacitance
Chapter: [16] Electromagnetic Inductions
[3]7.4

The threshold wavelength of silver is 3800Å. Calculate the maximum kinetic energy in eV of photoelectrons emitted, when ultraviolet light of wavelength 2600Å falls on it.

(Planck’s constant, h =6.63 x 1O-34J.s.,

Velocity of light in air, c = 3 x 108 m / s)

Concept: Einstein’s Equation - Particle Nature of Light
Chapter: [17] Electrons and Photons
[7]8 | Attempt any One
[7]8.1

Obtain an expression for e.m.f. induced in a coil rotating with uniform angular velocity in a uniform magnetic field. Show graphically the variation of e.m.f. with time (t).

Resistance of a potentiometer wire is 0.1Ω/cm. A cell of e.m.f 1.5V is balanced at 300 cm on this potentiometer wire. Calculate the current and balancing length for another cell of e.m.f. 1.4V on the same potentiometer wire.

Concept: Coil Rotating in Uniform Magnetic Induction
Chapter: [16] Electromagnetic Inductions
[7]8.2

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

Concept: Measurement of Wavelength by Biprism Experiment
Chapter: [11] Interference and Diffraction

If the critical angle of a medium is sin-1(3/5), find the polarising angle.

Concept: Polarisation
Chapter: [10] Wave Theory of Light

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