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KENDRIYA VIDYALAYA SANGATHAN
ERNAKULAM REGION
SAMPLE QUESTION PAPER -01

PHYSICS (042)
CLASS :XII

Max Marks : 70

Max Time: 3 Hrs

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GENERAL INSTRUCTIONS:

2012-13

(a)

All questions are compulsory.

(b)

There are 29 questions in total. Question 1 to 8 carry one mark each,
questions 9 to 16 carry two marks each, questions 17to 25 carry
three marks each, question 26 is a value based question which

(c)

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carries 4 marks and questions 27 to 29 carry five marks each.
There is no overall choice. However, an internal choice has been

.e

provided in one question of two marks, one question of three marks

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and all three questions of five marks each.
Use of calculators is not permitted.

(e)

You may use the following physical constants wherever necessary:

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(d)

c = 3 x 108 m/s ,
h = 6.63 x 10-34 Js
e = 1.6 x 10-19C
μ0 = 4π x 10-7 Tm/A
1/ 4π€0 = 9 x109 Nm2 /C2
me=9.1 x 10-31 Kg
1|Page out of 10
1
A

B

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The electric field lines in a region are shown in the figure. A and B are two
points in the region. At which point a charge ‘+q’ experiences minimum
force?
A distorted signal is received by a receiver set. Suggest a method to rectify 1
this while doing the modulation process?

3

A current I flows through a wire of radius ‘r’ and the drift velocity ‘vd’.
What is the drift velocity of electrons through a wire of same material but
having double the radius, when a current ‘2I’ flows through it?

4

The figure shows a long straight conducting wire of circular cross section
of radius ‘a’ (shaded portion) carrying a current I. Assume the current is
uniformly distributed across this cross section. Draw the shape of the
graph between magnetic field versus distance ‘r’ in the region between ‘a’
and ‘r’ if r > a.

1

1

w

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2

a a

5

r

In India domestic power supply is 220V, 50Hz; while in USA it is 110V,
50Hz.Give one advantage and one disadvantage of 220V supply over110 V
supply.

2|Page out of 10

1
6

The graph of variation of resistance R of a metal wire as a function of its
diameter D is as follows. Give the reason for the shape of the graph.

1

R

D

An audio signal is not transmitted directly by converting it into an
electromagnetic wave of same frequency. Give two reasons.

8

A magician during a show makes a concave glass lens with refractive
1
index 1.47 changes into convex lens while dipping it in another medium.
What will be the ratio of refractive index of glass with that of the medium?

9

A solenoid has a core of a material with relative permeability 400. The
windings of the solenoid are insulated from the core and carry a current
of 2A. If the number of turns is 1000 per metre, Calculate the magnetic
intensity ‘H’ and the magnetic field ‘B’.

1

2

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du

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7

2

11 Three resistors of resistance ‘r’ each are connected to get maximum
possible resistance. Then they are connected differently to get minimum
possible resistance. Find the ratio between minimum and maximum
resistance so obtained.

2

12 A circular loop and a rectangular loop of wire are moving towards a
uniform magnetic field region from a field free space with a constant
velocity ’v’ with their plane perpendicular to the magnetic field. In which
loop the induced emf is constant during the time of motion? What about
the emf induced in the other one?

2

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10 The magnetic susceptibility for a specimen has a small negative value. To
which class of the magnetic substances, does the specimen belong? What
is Meissner effect?

3|Page out of 10
13 A beam of light coming out of a convex lens when a point source is placed
at its focus is incident on an equilateral prism. Draw the shape of wave
fronts coming out of the convex lens and the prism.

2

14 A monochromatic source, emitting light of wave length, 600 nm, has a
power output of 66W. Calculate the number of photons emitted by this
source in 10 seconds.

2

15 Draw the input waveforms for three different inputs if the output
waveform from the given logic Gate is as follows.

2

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X

OR

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Or

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Two car garages have a common gate which needs to open automatically
when a car enters either of the garages or car enters both. Design a truth
table, logic symbol and hence Boolean expression for a circuit that
resembles this situation using diodes.

w

16 Two lines A and B shown in the graph represent the de-Broglie
wavelength ‘λ’ as a function of 1/√V (V is the accelerating potential) for
two particles having the same charge. Which of the two represents the
particle of smaller mass?

λ

B
A

1/√V
4|Page out of 10

2
17

(a) An electron revolves around a nucleus in circular orbit. Draw the
three equipotential surfaces around the nucleus.

3

(b ) Figure below shows a cylindrical Gaussian surface ‘G’ for an
infinitely long thin straight wire of uniform charge density ‘б’
G
+ + + + + + + + + Ϭ+ + +

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+ + + + + + + + + + + +

(i) For which surface is the electric flux zero?

(ii) Over which surface is the electric field constant?

du

OR

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Define the SI unit of capacitance. As shown in the figure given below, a
dielectric material of dielectric constant 19 is inserted in half portion
between the plates of a parallel-plate capacitor. If its initial capacitance is
40 μF, what will be the new capacitance?

18 State the principle behind working of a potentiometer? The circuit 3
diagram shows the use of a potentiometer to measure a small emf
produced by a thermocouple connected between X and Y. A cell of emf 2V
has negligible internal resistance. The potentiometer wire PQ is 1 m long
and has resistance 5Ω. The balance point S is found to be 40cm from P.
Calculate the value of emf generated by the thermocouple.

5|Page out of 10
2V

995Ω

G
X
Y
Thermocouple

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19 A charged particle moves along the positive X-axis in a uniform magnetic
‘B’ which is directed parallel to the positive Y-axis.
(i) In which direction would the Lorentz force act for an electron?

3

(ii) What will be the path of the charged particle?

w

Y

.e

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Z

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(iii) Draw the path of the charged particle if it has a velocity component
along ‘B’.

x
x
x
x

x
x
x
x

x
x
x
x

x

x
B x
x x
x x

x
x
x
x

x
x
x
x

X

20 Which part of the electromagnetic spectrum is suitable for RADAR 3
systems used in aircraft navigation?
A parallel plate capacitor of capacitance 2 μF produces an instantaneous
displacement current of 1 mA in the space between its plates. What
should be the rate of change of potential difference required?

6|Page out of 10
21 State the condition for diffraction of light to occur.
The following table gives data about the single slit diffraction experiment:
Wave length of Light

Half Angular width of
the principal maxima

Λ
Pλ

3

Θ
Qθ

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Find the ratio of the width of the slits used in the two cases. Would the
ratio of the half angular width of the first secondary maxima, in the two
cases, be also equal to Q?
22 Two slits in Young’s experiment are illuminated by a monochromatic 3
lamp. With a neat sketch, get an expression for fringe width of the
interference pattern so obtained.

3

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How will the fringe width change when the region between coherent
sources and the screen is filled with another medium of refractive index
’μ’.
23 An electron revolves around the nucleus of a Hydrogen atom. Relate the
energy of the electron to Principal quantum number.

From the following data given
92U238 = 238.05079 u,
2He4 = 4.00260 u,
1H1 = 1.00783 u, 91Pa237= 237.05121u

w

24

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Two Hydrogen atoms are in the excited state. Is it possible for the
electrons to have different energies but the same orbital angular
momentum according to the Bohr model?
90Th234

= 234.04363 u,

3

(a) Calculate the energy released during the alpha decay of 92U238
(b) Show that 92U238 cannot spontaneously emit a proton.
25 A company would like to transmit message signal as amplitude modulated 3
wave. Suggest a simple method in the form of block diagram to produce
A M wave. What are the functions of the blocks (devices) used? With a
block diagram show how this AM wave will be transmitted?
7|Page out of 10
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26 Mr. Kishan is a farmer who was staying happily in a hut made of hey and 4
leafy roof. It is easy for him to renovate his home with new leaves every
year as the good quality palm leaves he get free of cost and it is
environment friendly. Most of the village people are satisfied with the
same type of huts there.
But one day during heavy lightning, many of the huts were burnt to ashes
and people were sad and disappointed. Mr. Sekhar works in electricity
department and has good knowledge of current affairs. He soon reached
the spot along with his friends and pacified them and made arrangements
for their comfortable stay. The very next day the team could erect many
lightning conductors and few cavities of metal conductors and made
awareness to the villagers about lightning and the use of things installed
there. (a) What according to you, are the values displayed by Mr. Sekhar
and his friends to help Mr. Kishan and the village people?
(2)
What is the principle behind working of a lightning conductor? Also by
applying Gauss theorem show that net electric field inside the metallic
cavity is zero.
(2)

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Why Si and Ga As are preferred materials for solar cells? Draw V-I 5
Characteristics of Zener diode. How a Zener diode can act as voltage
regulator?

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27 (a)

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(b) In a p-n junction diode, the current I can be expressed as
I = I0 exp{ (eV/2KB T)-1 }where I0 is called reverse saturation
current, V is the voltage across the diode and is positive for forward
bias and negative for reverse bias, I is current through the diode, KB is
Boltzmann constant (8.6 x 10-5 eV/K) and T is the absolute
temperature. If for a given diode I0 = 5 x 10-12 A and T =300K, then
(i) What will be the forward current at a forward voltage of 0.6 V?
(ii) What will be the dynamic resistance if forward current at 0.7 V is
14.3 x 10-7 A
OR
(a) Define trans- conductance of a transistor.
(b) Show by circuit diagram, how a transistor work as a feed back
oscillator. Also give collector and emitter current variation graph
due to inductive coupling
(c ) Two amplifiers are connected one after the other in series (cascaded)
8|Page out of 10
The first amplifier has a voltage gain of 10 and second has a voltagegain of 20. If the input signal is 0.01V, calculate the output voltage of
the ac signal.
28 Trace the path of three rays from a distant object through an astronomical 5
telescope in normal adjustment.
(a) The far point of a myopic person is 80 cm in front of the eye. What is
the power of the lens required to enable him to see very distant
objects clearly?

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(b) In what way does the corrective lens help the above person?
(c) The above person prefers to remove his spectacles while reading a
book. Why?

du

OR
(a) A ray of light is normally incident on one face of an equilateral
prism. Trace the course of the ray through the prism and emerging
from it.

w
w

.e

(b) The critical angle for glass-air interface is ‘ic’. Will the critical angle
for glass-water interface be greater than or less than ‘ic ’? Why?

w

(c) How does the angle of minimum deviation of a glass prism change if
the incident violet light is replaced by red light?
29

(a) A simple A C generator having a constant magnetic field is connected 5
to a resistive load. Mention the reason for the effect of doubling the
speed of rotation on the following.
(a) Frequency of rotation (b) the generated emf.
(b) Obtain the frequency of a series L C circuit at resonance.
(c) A person while walking through the doorway of a metal detector, it
emits a sound. What does it indicate? What is the underlying
principle of metal detector?

9|Page out of 10
OR
(a) Show diagrammatically two different arrangements used for
winding the primary and secondary coils in a transformer.
(b) Assuming the transformer to be an ideal one, write the expressions
for the ratio of its output voltage to input voltage.
(c) The core of transformer is made of magnetic material. Give any two
properties of such materials used.

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(d) Write any four types of energy losses in transformer.

10 | P a g e o u t o f 1 0

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Class 12 Cbse Physics Sample Paper 2013 Model 2

  • 1. KENDRIYA VIDYALAYA SANGATHAN ERNAKULAM REGION SAMPLE QUESTION PAPER -01 PHYSICS (042) CLASS :XII Max Marks : 70 Max Time: 3 Hrs rit e. co m GENERAL INSTRUCTIONS: 2012-13 (a) All questions are compulsory. (b) There are 29 questions in total. Question 1 to 8 carry one mark each, questions 9 to 16 carry two marks each, questions 17to 25 carry three marks each, question 26 is a value based question which (c) du carries 4 marks and questions 27 to 29 carry five marks each. There is no overall choice. However, an internal choice has been .e provided in one question of two marks, one question of three marks w w and all three questions of five marks each. Use of calculators is not permitted. (e) You may use the following physical constants wherever necessary: w (d) c = 3 x 108 m/s , h = 6.63 x 10-34 Js e = 1.6 x 10-19C μ0 = 4π x 10-7 Tm/A 1/ 4π€0 = 9 x109 Nm2 /C2 me=9.1 x 10-31 Kg 1|Page out of 10
  • 2. 1 A B rit e. co m The electric field lines in a region are shown in the figure. A and B are two points in the region. At which point a charge ‘+q’ experiences minimum force? A distorted signal is received by a receiver set. Suggest a method to rectify 1 this while doing the modulation process? 3 A current I flows through a wire of radius ‘r’ and the drift velocity ‘vd’. What is the drift velocity of electrons through a wire of same material but having double the radius, when a current ‘2I’ flows through it? 4 The figure shows a long straight conducting wire of circular cross section of radius ‘a’ (shaded portion) carrying a current I. Assume the current is uniformly distributed across this cross section. Draw the shape of the graph between magnetic field versus distance ‘r’ in the region between ‘a’ and ‘r’ if r > a. 1 1 w w w .e du 2 a a 5 r In India domestic power supply is 220V, 50Hz; while in USA it is 110V, 50Hz.Give one advantage and one disadvantage of 220V supply over110 V supply. 2|Page out of 10 1
  • 3. 6 The graph of variation of resistance R of a metal wire as a function of its diameter D is as follows. Give the reason for the shape of the graph. 1 R D An audio signal is not transmitted directly by converting it into an electromagnetic wave of same frequency. Give two reasons. 8 A magician during a show makes a concave glass lens with refractive 1 index 1.47 changes into convex lens while dipping it in another medium. What will be the ratio of refractive index of glass with that of the medium? 9 A solenoid has a core of a material with relative permeability 400. The windings of the solenoid are insulated from the core and carry a current of 2A. If the number of turns is 1000 per metre, Calculate the magnetic intensity ‘H’ and the magnetic field ‘B’. 1 2 w w .e du rit e. co m 7 2 11 Three resistors of resistance ‘r’ each are connected to get maximum possible resistance. Then they are connected differently to get minimum possible resistance. Find the ratio between minimum and maximum resistance so obtained. 2 12 A circular loop and a rectangular loop of wire are moving towards a uniform magnetic field region from a field free space with a constant velocity ’v’ with their plane perpendicular to the magnetic field. In which loop the induced emf is constant during the time of motion? What about the emf induced in the other one? 2 w 10 The magnetic susceptibility for a specimen has a small negative value. To which class of the magnetic substances, does the specimen belong? What is Meissner effect? 3|Page out of 10
  • 4. 13 A beam of light coming out of a convex lens when a point source is placed at its focus is incident on an equilateral prism. Draw the shape of wave fronts coming out of the convex lens and the prism. 2 14 A monochromatic source, emitting light of wave length, 600 nm, has a power output of 66W. Calculate the number of photons emitted by this source in 10 seconds. 2 15 Draw the input waveforms for three different inputs if the output waveform from the given logic Gate is as follows. 2 rit e. co m X OR du Or w w .e Two car garages have a common gate which needs to open automatically when a car enters either of the garages or car enters both. Design a truth table, logic symbol and hence Boolean expression for a circuit that resembles this situation using diodes. w 16 Two lines A and B shown in the graph represent the de-Broglie wavelength ‘λ’ as a function of 1/√V (V is the accelerating potential) for two particles having the same charge. Which of the two represents the particle of smaller mass? λ B A 1/√V 4|Page out of 10 2
  • 5. 17 (a) An electron revolves around a nucleus in circular orbit. Draw the three equipotential surfaces around the nucleus. 3 (b ) Figure below shows a cylindrical Gaussian surface ‘G’ for an infinitely long thin straight wire of uniform charge density ‘б’ G + + + + + + + + + Ϭ+ + + rit e. co m + + + + + + + + + + + + (i) For which surface is the electric flux zero? (ii) Over which surface is the electric field constant? du OR w w w .e Define the SI unit of capacitance. As shown in the figure given below, a dielectric material of dielectric constant 19 is inserted in half portion between the plates of a parallel-plate capacitor. If its initial capacitance is 40 μF, what will be the new capacitance? 18 State the principle behind working of a potentiometer? The circuit 3 diagram shows the use of a potentiometer to measure a small emf produced by a thermocouple connected between X and Y. A cell of emf 2V has negligible internal resistance. The potentiometer wire PQ is 1 m long and has resistance 5Ω. The balance point S is found to be 40cm from P. Calculate the value of emf generated by the thermocouple. 5|Page out of 10
  • 6. 2V 995Ω G X Y Thermocouple rit e. co m 19 A charged particle moves along the positive X-axis in a uniform magnetic ‘B’ which is directed parallel to the positive Y-axis. (i) In which direction would the Lorentz force act for an electron? 3 (ii) What will be the path of the charged particle? w Y .e w w Z du (iii) Draw the path of the charged particle if it has a velocity component along ‘B’. x x x x x x x x x x x x x x B x x x x x x x x x x x x x X 20 Which part of the electromagnetic spectrum is suitable for RADAR 3 systems used in aircraft navigation? A parallel plate capacitor of capacitance 2 μF produces an instantaneous displacement current of 1 mA in the space between its plates. What should be the rate of change of potential difference required? 6|Page out of 10
  • 7. 21 State the condition for diffraction of light to occur. The following table gives data about the single slit diffraction experiment: Wave length of Light Half Angular width of the principal maxima Λ Pλ 3 Θ Qθ rit e. co m Find the ratio of the width of the slits used in the two cases. Would the ratio of the half angular width of the first secondary maxima, in the two cases, be also equal to Q? 22 Two slits in Young’s experiment are illuminated by a monochromatic 3 lamp. With a neat sketch, get an expression for fringe width of the interference pattern so obtained. 3 .e du How will the fringe width change when the region between coherent sources and the screen is filled with another medium of refractive index ’μ’. 23 An electron revolves around the nucleus of a Hydrogen atom. Relate the energy of the electron to Principal quantum number. From the following data given 92U238 = 238.05079 u, 2He4 = 4.00260 u, 1H1 = 1.00783 u, 91Pa237= 237.05121u w 24 w w Two Hydrogen atoms are in the excited state. Is it possible for the electrons to have different energies but the same orbital angular momentum according to the Bohr model? 90Th234 = 234.04363 u, 3 (a) Calculate the energy released during the alpha decay of 92U238 (b) Show that 92U238 cannot spontaneously emit a proton. 25 A company would like to transmit message signal as amplitude modulated 3 wave. Suggest a simple method in the form of block diagram to produce A M wave. What are the functions of the blocks (devices) used? With a block diagram show how this AM wave will be transmitted? 7|Page out of 10
  • 8. rit e. co m 26 Mr. Kishan is a farmer who was staying happily in a hut made of hey and 4 leafy roof. It is easy for him to renovate his home with new leaves every year as the good quality palm leaves he get free of cost and it is environment friendly. Most of the village people are satisfied with the same type of huts there. But one day during heavy lightning, many of the huts were burnt to ashes and people were sad and disappointed. Mr. Sekhar works in electricity department and has good knowledge of current affairs. He soon reached the spot along with his friends and pacified them and made arrangements for their comfortable stay. The very next day the team could erect many lightning conductors and few cavities of metal conductors and made awareness to the villagers about lightning and the use of things installed there. (a) What according to you, are the values displayed by Mr. Sekhar and his friends to help Mr. Kishan and the village people? (2) What is the principle behind working of a lightning conductor? Also by applying Gauss theorem show that net electric field inside the metallic cavity is zero. (2) du Why Si and Ga As are preferred materials for solar cells? Draw V-I 5 Characteristics of Zener diode. How a Zener diode can act as voltage regulator? .e 27 (a) w w w (b) In a p-n junction diode, the current I can be expressed as I = I0 exp{ (eV/2KB T)-1 }where I0 is called reverse saturation current, V is the voltage across the diode and is positive for forward bias and negative for reverse bias, I is current through the diode, KB is Boltzmann constant (8.6 x 10-5 eV/K) and T is the absolute temperature. If for a given diode I0 = 5 x 10-12 A and T =300K, then (i) What will be the forward current at a forward voltage of 0.6 V? (ii) What will be the dynamic resistance if forward current at 0.7 V is 14.3 x 10-7 A OR (a) Define trans- conductance of a transistor. (b) Show by circuit diagram, how a transistor work as a feed back oscillator. Also give collector and emitter current variation graph due to inductive coupling (c ) Two amplifiers are connected one after the other in series (cascaded) 8|Page out of 10
  • 9. The first amplifier has a voltage gain of 10 and second has a voltagegain of 20. If the input signal is 0.01V, calculate the output voltage of the ac signal. 28 Trace the path of three rays from a distant object through an astronomical 5 telescope in normal adjustment. (a) The far point of a myopic person is 80 cm in front of the eye. What is the power of the lens required to enable him to see very distant objects clearly? rit e. co m (b) In what way does the corrective lens help the above person? (c) The above person prefers to remove his spectacles while reading a book. Why? du OR (a) A ray of light is normally incident on one face of an equilateral prism. Trace the course of the ray through the prism and emerging from it. w w .e (b) The critical angle for glass-air interface is ‘ic’. Will the critical angle for glass-water interface be greater than or less than ‘ic ’? Why? w (c) How does the angle of minimum deviation of a glass prism change if the incident violet light is replaced by red light? 29 (a) A simple A C generator having a constant magnetic field is connected 5 to a resistive load. Mention the reason for the effect of doubling the speed of rotation on the following. (a) Frequency of rotation (b) the generated emf. (b) Obtain the frequency of a series L C circuit at resonance. (c) A person while walking through the doorway of a metal detector, it emits a sound. What does it indicate? What is the underlying principle of metal detector? 9|Page out of 10
  • 10. OR (a) Show diagrammatically two different arrangements used for winding the primary and secondary coils in a transformer. (b) Assuming the transformer to be an ideal one, write the expressions for the ratio of its output voltage to input voltage. (c) The core of transformer is made of magnetic material. Give any two properties of such materials used. w w w .e du rit e. co m (d) Write any four types of energy losses in transformer. 10 | P a g e o u t o f 1 0