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

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Physics
2016-2017 July
Marks: 70

[12]1 | Attempt any SIX:
[2]1.i

If the angular speed of the earth is 7.26 x 10–5 rad/s and radius of the earth is 6,400 km,
calculate the change in weight of 1 kg of mass taken from equator to pole.

Concept: Angular Velocity
Chapter: [1] Circular Motion
[2]1.ii

A small body of mass 0.3 kg oscillates in vertical plane with the help of a string 0.5 m long with a constant speed of 2 m/s. It makes an angle of 60° with the vertical. Calculate tension in the string (g = 9.8 m/s2).

Concept: Definition of Stress and Strain
Chapter: [5] Elasticity
[2]1.iii

Two soap bubbles have radii in the ratio 4:3. What is the ratio of work done to blow these bubbles?

Concept: Capillarity and Capillary Action
Chapter: [6] Surface Tension
[2]1.iv

At what temperature will average kinetic energy of gas be exactly half of its value at N.T.P.?

Concept: Kinetic Theory of Gases- Assumptions
Chapter: [9] Kinetic Theory of Gases and Radiation
[2]1.v

Define surface tension and surface energy.

Concept: Surface Tension
Chapter: [6] Surface Tension
[2]1.vi

Prove that `g_h=g(1-"2h"/R)` where gh is the acceleration due to gravity at altitude h and h << R (R is the radius of the earth).

Concept: Acceleration Due to Gravity and Its Variation with Altitude and Depth
Chapter: [2] Gravitation
[2]1.vii

Explain the physical significance of radius of gyration

Concept: Physical Significance of M.I (Moment of Inertia)
Chapter: [3] Angular Momentum
[2]1.viii

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

Concept: Banking of Roads
Chapter: [1] Circular Motion

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

Concept: Banking of Roads
Chapter: [1] Circular Motion
[9]2 | Attempt any THREE:
[3]2.i

Prove Kirchhoff’s law of radiation theoretically.

Concept: Qualitative Ideas of Blackbody Radiation
Chapter: [9] Kinetic Theory of Gases and Radiation
[3]2.ii

Within the elastic limit, find the work done by a stretching force on a wire.

Concept: Elastic Energy
Chapter: [5] Elasticity
[3]2.iii

A set of 12 tuning forks is arranged in order of increasing frequencies. Each fork produces
‘Y’ beats per second with the previous one. The last is an octave of the first. The fifth fork
has a frequency of 90 Hz. Find ‘Y’ and frequency of the first and the last tuning forks.

Concept: Formation of Beats
Chapter: [7] Wave Motion
[3]2.iv

A uniform solid sphere has radius 0.2 m and density 8 x 103 kg/m3. Find the moment of
inertia about the tangent to its surface. (π = 3.142)

Concept: Physical Significance of M.I (Moment of Inertia)
Chapter: [3] Angular Momentum
[7]3 | Attempt any one of the following
[7]3.i

Define linear simple harmonic motion.

Concept: Simple Harmonic Motion
Chapter: [4] Oscillations

Assuming the expression for displacement of a particle starting from extreme position, explain graphically the variation of velocity and acceleration w.r.t. time.

Concept: Simple Harmonic Motion
Chapter: [4] Oscillations

A clock regulated by seconds pendulum, keeps correct time. During summer, length of pendulum increases to 1.005 m. How much will the clock gain or loose in one day?

(g = 9.8 m/s2 and π = 3.142)

Concept: Some Systems Executing Simple Harmonic Motion
Chapter: [4] Oscillations
[7]3.ii

Discuss different modes of vibrations in an air column of a pipe open at both the ends.

Concept: Study of Vibrations of Air Columns
Chapter: [8] Stationary Waves

State the cause of end correction.

Concept: Study of Vibrations of Air Columns
Chapter: [8] Stationary Waves

Find the end correction for the pipe open at both the ends in fundamental mode.

Concept: Study of Vibrations of Air Columns
Chapter: [8] Stationary Waves

What should be tension applied to a wire of length 1 m and mass 10 gram, if it has to vibrate with fundamental frequency of 50 Hz?

Concept: Forced Oscillations and Resonance
Chapter: [8] Stationary Waves
[7]4 | Select and write the most appropriate answer from the given alternatives for each sub-question:
[1]4.i

A body of mass ‘m’ performs uniform circular motion along a circular path of radius ‘r’ with velocity ‘v’. If its angular momentum is L, then the centripetal force acting on it is

(A) `(mL^2)/r^3`

(B) `L^2/(mr)`

(c) `L^2/(mr^2)`

(D) `L^2/(mr^3)`

Concept: Centrifugal Forces
Chapter: [1] Circular Motion
[1]4.ii

If the Earth completely loses its gravity, then for any body _______.

(A) both mass and weight become zero.
(B) neither mass nor weight become zero.
(C) weight becomes zero but not the mass.
(D) mass becomes zero but not the weight.

Concept: Weightlessness
Chapter: [2] Gravitation
[1]4.iii

If a rigid body of radius ‘R’ starts from rest and rolls down an inclined plane of inclination
‘θ’ then linear acceleration of body rolling down the plane is _______.

(A)`(gsintheta)/(1+K/R)`

(B) `gsintheta(1+K/R)`

(C) `(gsintheta)/(1+K^2/R^2)`

(D) `gsintheta(1+K^2/R^2)`

Concept: Rolling Motion
Chapter: [3] Angular Momentum
[1]4.iv

1000 tiny mercury droplets coalesce to form a bigger drop. In this process, temperature of the drop _______ .

(A) increases

(B) may increase or decrease

(C) decreases

(D) does not change

Concept: Temperature and Heat
Chapter: [9] Kinetic Theory of Gases and Radiation
[1]4.v

Doppler effect is not applicable when _______.
(A) source and observer are at rest.
(B) there is a relative motion between source and observer.
(C) both are moving in opposite directions.
(D) both are moving in same direction with different velocities

Concept: Beats
Chapter: [7] Wave Motion [10] Wave Theory of Light
[1]4.vi

If the total kinetic energy per unit volume of gas enclosed in a container is E, the pressure exerted by the gas is

(A) E

(B) 3/2 E

(C) `sqrt3E`

(D) 2/3E

Concept: Kinetic Theory of Gases- Assumptions
Chapter: [9] Kinetic Theory of Gases and Radiation
[1]4.vii

Two wires of the same material have radii rA and rB respectively. The radius of wire A is twice the radius of wire B. If they are stretched by same load then stress on wire B is 

(A) equal to that of A

(B) half that of A.

(C) two times that of A.

(D) four times that of A.

Concept: Eneral Explanation of Elastic Property
Chapter: [5] Elasticity
[12]5 | Attempt any SIX:
[2]5.i

Thorium 90Th232 is disintegrated into lead 82Pb200. Find the number of α and β particles emitted in disintegration.

Concept: Alpha-particle Scattering and Rutherford’S Nuclear Model of Atom
Chapter: [18] Atoms, Molecules and Nuclei
[2]5.ii

If the work function of a metal is 3 eV, calculate the threshold wavelength of that metal.
(Velocity of light = 3 x 108 m/s, Planck’s constant = 6.63 x 10–34 J.s.; 1 eV = 1.6 x 10–19 J)

Concept: Measurement of Wavelength by Biprism Experiment
Chapter: [11] Interference and Diffraction
[2]5.iii

Three capacitors of capacities 8 μF, 8 μF and 4 μF are connected in a series and potential difference of 120 volt is maintained across the combination. Calculate the charge  on capacitor of capacity 4 μF.

 

Concept: Reactance and Impedance
Chapter: [16] Electromagnetic Inductions
[2]5.iv

If the total energy of radiation of frequency 1014 Hz is 6.63 J, calculate the number of  photons in the radiation. (Planck’s constant = 6.63 x 10–34 J.s.)

Concept: Photoelectric Effect - Hertz’S Observations
Chapter: [17] Electrons and Photons
[2]5.v

Distinguish between diamagnetic and paramagnetic substances

Concept: Magnetic Properties of Materials
Chapter: [15] Magnetism
[2]5.vi

Draw a neat, labeled diagram showing different layers of the Earth’s atmosphere.

Concept: Production and Detection of an Amplitude Modulated Wave
Chapter: [20] Communication Systems
[2]5.vii

Explain the construction of plane wavefront using Huygens’ principle.

Concept: Huygens Principle
Chapter: [10] Wave Theory of Light
[2]5.viii

Obtain an expression for electric field intensity at a point outside uniformly charged thin plane sheet.

Concept: Effect of Dielectric on Capacity
Chapter: [12] Electrostatics
[9]6 | Attempt any THREE:
[3]6.i

Write the functions of three segments of a transistor.

Concept: Junction Transistor - Transistor as an Amplifier (Ce-configuration)
Chapter: [19] Semiconductors

Draw a circuit diagram for studying the input and output characteristics of a n-p-n transistor in common emitter configuration. Using the circuit, explain how input, output characteristics are obtained

Concept: Junction Transistor - Transistor as an Amplifier (Ce-configuration)
Chapter: [19] Semiconductors
[3]6.ii

State Ampere’s circuital law.

Concept: Ampere’s Circuital Law
Chapter: [14] Magnetic Effects of Electric Current

Obtain an expression for magnetic induction along the axis of the toroid.

Concept: Ampere’s Circuital Law
Chapter: [14] Magnetic Effects of Electric Current
[3]6.iii

When a resistance of 12 ohm is connected across a cell, its terminal potential difference is balanced by 120 cm length of potentiometer wire. When the resistance of 18 ohm is connected across the same cell, the balancing length is 150 cm. Find the balancing length when the cell is in open circuit. Also calculate the internal resistance of the cell.

Concept: Metre Bridge
Chapter: [13] Current Electricity
[3]6.iv

Find the ratio of longest wavelength in Paschen series to shortest wavelength in Balmer series.

Concept: Wavelength of an Electron
Chapter: [18] Atoms, Molecules and Nuclei
[7]7 | Attempt any one of the following
[7]7.i

State the principle on  which transformer works.

Concept: Transformers
Chapter: [16] Electromagnetic Inductions

Explain transformer working with construction.

Concept: Transformers
Chapter: [16] Electromagnetic Inductions

Derive an expression for e.m.f. and current in terms of turns ratio

Concept: Transformers
Chapter: [16] Electromagnetic Inductions

Find the magnetization of a bar magnet of length 10 cm and cross-sectional area 4 cm2, if the magnetic moment is 2 Am2.

Concept: Magnetisation and Magnetic Intensity
Chapter: [15] Magnetism
[7]7.ii

Derive an expression for path difference in Young’s double slit experiment and obtain the conditions for constructive and destructive interference at a point on the screen.

Concept: Interference of Light Waves and Young’S Experiment
Chapter: [11] Interference and Diffraction

The refractive indices of glass and water w.r.t. air are 3/2 and 4/3 respectively. Determine the refractive index of glass w.r.t. water.

Concept: Polarisation
Chapter: [10] Wave Theory of Light
[7]8 | Select and write the most appropriate answer from the given alternatives for each sub-question:
[1]8.i

The logic gate which produces LOW output when one of the input is HIGH and produces
HIGH output only when all of its inputs are LOW is called _______.

(A) AND gate

(B) OR gate

(C) NOR gate

(D) NAND gate

Concept: Digital Electronics and Logic Gates
Chapter: [19] Semiconductors
[1]8.ii

For efficient radiation and reception of signal with wavelength λ, the transmitting antennas would have length comparable to ______.

(A)`lambda` of frequency used

(B)`lambda/2` of frequency used

(C )`lambda/3` of frequency used

(D)`lambda/4` of frequency used

Concept: Elements of a Communication System
Chapter: [20] Communication Systems
[1]8.iii

Which one of the following particles cannot be accelerated by a cyclotron?

(A) Electrons

(B) Protons

(C) Deuterons

(D) α- particles

Concept: Motion in Combined Electric and Magnetic Fields - Cyclotron
Chapter: [14] Magnetic Effects of Electric Current
[1]8.iv

In series LCR circuit at resonance, phase difference between current and e.m.f. of source is ______.

(A) `pi` rad

(B) `pi/2` rad

(C) `pi/4` rad

(D) zero rad

Concept: Resonant Circuit
Chapter: [16] Electromagnetic Inductions
[1]8.v

When unknown resistance is determined by meter bridge, the error due to contact resistance
is minimized ______.

(A) by connecting both the resistances only in one gap.
(B) by interchanging the positions of known and unknown resistance.
(C) by using uniform wire.
(D) by obtaining the null point near the ends of the wire.

Concept: Meter Bridge
Chapter: [13] Current Electricity
[1]8.vi

The ratio of kinetic energy of an electron in Bohr’s orbit to its total energy in the same orbit  is

(A) – 1

(B) 2

(C) 1/2

(D) – 0.5

Concept: Bohr'S Model for Hydrogen Atom
Chapter: [18] Atoms, Molecules and Nuclei
[1]8.vii

Using monochromatic light of wavelength λ in Young’s double slit experiment, the eleventh dark fringe is obtained on the screen for a phase difference of ______.

(A) `11/2 pi` rad

(B) `21/2 pi` rad

(C) `13 pi` rad

(D) `21 pi` rad

Concept: Interference of Light Waves and Young’S Experiment
Chapter: [11] Interference and Diffraction

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