There are 35 questions in all. All questions are compulsory
This question paper has five sections: Section A, Section B, Section C, Section D and
Section E. All the sections are compulsory.
Section A contains eighteen MCQ of 1 mark each, Section B contains seven questions
of two marks each, Section C contains five questions of three marks each, section D
contains three long questions of five marks each and Section E contains two case study
based questions of 4 marks each.
There is no overall choice. However, an internal choice has been provided in section
B, C, D and E. You have to attempt only one of the choices in such questions.
5. Use of calculators is not allowed.
Section-A
Question
1
Which of the following is not the property of an equipotential surface?
(a) They do not cross each other.
(b) The work done in carrying a charge from one point to another on an
equipotential surface is zero.
(c ) For a uniform electric field, they are concentric spheres.
(d) They can be imaginary spheres
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Solution
Question 2
An electric dipole placed in an electric field of intensity 2 × 105 N/C at an angle of
30° experiences a torque equal to 4 Nm. The charge on the dipole of dipole length
2 cm is
(a) 7 µC (b) 8 mC (c) 2 mC (d) 5 mC
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Solution
Question
3
A metallic plate exposed to white light emits electrons. For which of the following
colours of light, the stopping potential will be maximum?
(a) Blue (b) Yellow (c) Red (d) Violet
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Solution
Question
4
When alpha particles are sent through a thin gold foil, most of them go straight
through the foil, because
(a) alpha particles are positively charged
(b) the mass of an alpha particle is more than the mass of an electron
(c) most of the part of an atom is empty space
(d) alpha particles move with high velocity
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Solution
Question
5
An electron is moving along positive x-axis in a magnetic field which is parallel
to
the positive y-axis. In what direction will the magnetic force be acting on the
electron?
(a) Along -x axis (b) Along -z axis
(c ) Along +z axis (d) Along -y axis
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Solution
Question
6
The relative magnetic permeability of a substance X is slightly less than unity and
that of substance Y is slightly more than unity, then
(a) X is paramagnetic and Y is ferromagnetic
(b) X is diamagnetic and Y is ferromagnetic
(c) X and Y both are paramagnetic
(d) X is diamagnetic and Y is paramagnetic
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Solution
Question
7
An ammeter of resistance 0.81 ohm reads up to 1 A. The value of the
required shunt to increase the range to 10 A is
(a) 0.9 ohm (b ) 0.09 ohm (c) 0.03 ohm (d) 0.3 ohm
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Solution
Question
8
An electron with angular momentum L moving around the nucleus has a
magnetic moment given by
(a) e L/ 2m (b) e L/3m (c) e L /4m (d) e L / m
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Solution
Question
9
The large scale transmission of electrical energy over long distances is done with
the use of transformers. The voltage output of the generator is stepped-up because
of
(a) reduction of current (b) reduction of current and voltage both
(c) power loss is cut down (d) (a ) and (c) both
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Solution
Question
10
The diagram below shows the electric field (E) and magnetic field (B) components
of an electromagnetic wave at a certain time and location.
The direction of the propagation of the electromagnetic wave is
(a) perpendicular to E and B and out of plane of the paper
(b) perpendicular to E and B and into the plane of the paper
(c) parallel and in the same direction as E
(d) parallel and in the same direction as B
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Solution
Question
11
In a coil of resistance 100 Ω a current is induced by changing the magnetic
flux through it. The variation of current with time is as shown in the figure. The
magnitude of change in flux through coil is
(a) 200 Wb (b) 275 Wb (c) 225 Wb (d) 250 Wb
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Solution
Question
12
The energy of an electron in nth orbit of hydrogen atom is En= - 13.6/𝑛
2𝑒𝑉.The
negative sign of energy indicates that
(a) electron is free to move.
(b) electron is bound to the nucleus.
(c) kinetic energy of electron is equal to potential energy of electron.
(d) atom is radiating energy
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Solution
For Questions
13 to 16, two statements are given –one labelled Assertion (A) and other
labelled Reason (R). Select the correct answer to these questions from the options as
given below.
a) If both Assertion and Reason are true and Reason is correct explanation of
Assertion.
b) If both Assertion and Reason are true but Reason is not the correct
explanation of Assertion.
c) If Assertion is true but Reason is false.
d) If both Assertion and Reason are false.
Question
13
Assertion (A): For the radiation of a frequency greater than the threshold
frequency,
photoelectric current is proportional to the intensity of the radiation.
Reason (R) : Greater the number of energy quanta available, greater is the
number of electrons absorbing the energy quanta and greater
is number of electrons coming out of the metal.
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Solution
Question
14
Assertion (A) : Putting p type semiconductor slab directly in physical contact
with n type semiconductor slab cannot form the pn junction.
Reason (R) : The roughness at contact will be much more than inter atomic
crystal spacing and continuous flow of charge carriers is not
possible
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Solution
Question
15
Assertion (A) : An electron has a higher potential energy when it is at a location
associated with a negative value of potential and has a lower
potential energy when at a location associated with a positive
potential.
Reason (R) : Electrons move from a region of higher potential to a region of
lower potential.
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Solution
Question
16
Assertion (A) : Propagation of light through an optical fibre is due to total
internal reflection taking place at the core-cladding interface.
Reason (R): Refractive index of the material of the cladding of the optical fibre
is greater than that of the core
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Solution
SECTION-B
Question
17
(a) Name the device which utilizes unilateral action of a pn diode to convert
ac into dc.
(b) Draw the circuit diagram of full wave rectifier.
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Solution
Question
18
The wavelength λ of a photon and the de Broglie wavelength of an electron of mass
m have the same value. Show that the energy of the photon is 2λmc/h times the
kinetic energy of the electron, where c and h have their usual meanings
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Solution
Question
19
A ray of monochromatic light passes through an equilateral glass prism in such a
way that the angle of incidence is equal to the angle of emergence and each of these
angles is 3/4 times the angle of the prism. Determine the angle of deviation and the
refractive index of the glass prism
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Solution
Question
20
A heating element using nichrome connected to a 230 V supply draws an initial
current of 3.2 A which settles after a few seconds to a steady value of 2.8 A. What
is the steady temperature of the heating element if the room temperature is 27.0 °C
and the temperature coefficient of resistance of nichrome is 1.70 × 10-4
°C-1 ?
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Solution
Question
21
Show that the least possible distance between an object and its real image in a
convex lens is 4f, where f is the focal length of the lens.
OR
In an astronomical telescope in normal adjustment a straight black line of length L is
drawn on the objective lens. The eyepiece forms a real image of this line whose
length is 𝑙. What is the angular magnification of the telescope?
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Solution
SECTION-C
Question
22
A given coin has a mass of 3.0 g. Calculate the nuclear energy that would be
required
to separate all the neutrons and protons from each other. For simplicity assume that
the coin is entirely made of 2963𝐶𝑢 atoms (of mass 62.92960 u).
Given mp = 1.007825u and mn = 1.008665u.
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Solution
Question
23
Charges (+q) and (–q) are placed at the points A and B respectively which are a
distance 2L apart. C is the midpoint between A and B. What is the work done in
moving a charge +Q along the semicircle CRD.
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Solution
Question
24
The total energy of an electron in the first excited state of the hydrogen atom is
about –3.4 eV.
(a) What is the kinetic energy of the electron in this state?
(b) What is the potential energy of the electron in this state?
(c) Which of the answers above would change if the choice of the zero of potential
energy is changed?
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Solution
Question
25
A wire of uniform cross-section and resistance 4 ohm is bent in the shape of square
ABCD. Point A is connected to a point P on DC by a wire AP of resistance 1 ohm.
When a potential difference is applied between A and C, the points B and P are seen
to be at the same potential. What is the resistance of the part DP?
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Solution
Question
26
The given figure shows a long straight wire of a circular cross-section (radius a)
carrying steady current I. The current I is uniformly distributed across this crosssection. Calculate
the magnetic field in the region r < a and r> a.
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Solution
Question
27
Identify the part of the electromagnetic spectrum which:
a) produces heating effect,
b) is absorbed by the ozone layer in the atmosphere,
c) is used for studying crystal structure.
Write any one method of the production of each of the above radiations.
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Solution
Question
28
SECTION-D
Question
29
Read the following paragraph and answer the questions that follow.
A semiconductor diode is basically a pn junction with metallic contacts provided at
the ends for the application of an external voltage. It is a two terminal device. When
an external voltage is applied across a semiconductor diode such that p-side is
connected to the positive terminal of the battery and n-side to the negative terminal,
it is said to be forward biased. When an external voltage is applied across the diode
such that n-side is positive and p-side is negative, it is said to be reverse biased.
An ideal diode is one whose resistance in forward biasing is zero and the resistance
is infinite in reverse biasing. When the diode is forward biased, it is found that
beyond forward voltage called knee voltage, the conductivity is very high. When the
biasing voltage is more than the knee voltage the potential barrier is overcome and
the current increases rapidly with increase in forward voltage. When the diode is
reverse biased, the reverse bias voltage produces a very small current about a few
microamperes which almost remains constant with bias. This small current is
reverse saturation current.
i. In the given figure, a diode D is connected to an external resistance R = 100 Ω and
an emf of 3.5 V. If the barrier potential developed across the diode is 0.5 V, the
current in the circuit will be:
(a) 40 mA (b) 20 mA (c) 35 mA (d) 30 mA
ii. In which of the following figures, the pn diode is reverse biased?
iii. Based on the V-I characteristics of the diode, we can classify diode as
(a) bilateral device (b) ohmic device
(c) non-ohmic device (d) passive element
OR
Two identical PN junctions can be connected in series by three different methods
as shown in the figure. If the potential difference in the junctions is the same, then
the correct connections will be
(a) in the circuits (1) and (2) (b) in the circuits (2) and (3)
(c) in the circuits (1) and (3) (d) only in the circuit (1)
iv.
The V-I characteristic of a diode is shown in the figure. The ratio of the resistance
of the diode at I = 15 mA to the resistance at V = -10 V is
(a) 100 (b) 106
(c) 10 (d) 10-6
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Solution
Question
30
SECTION-E
Question
31
Question
32
i. Derive an expression for the capacitance of a parallel plate capacitor with air present
between the two plates.
ii. Obtain the equivalent capacitance of the network shown in figure. For a 300 V supply,
determine the charge on each capacitor.
OR
i. A dielectric slab of thickness 't’ is kept between the plates of a parallel plate
capacitor with plate separation 'd' (t < d). Derive the expression for the capacitance of the
capacitor.
ii. A capacitor of capacity 𝐶1 is charged to the potential of 𝑉𝑜. On disconnecting with the
battery, it is connected with an uncharged capacitor of capacity 𝐶2 as shown in the
adjoining figure. Find the ratio of energies before and after the connection of switch 𝑆.
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Solution
Question
33
a. Draw graphs showing the variations of inductive reactance and capacitive
reactance
with frequency of applied ac source.
b. Draw the phasor diagram for a series LRC circuit connected to an AC source.
c. When an alternating voltage of 220V is applied across a device X, a current of 0.25A
flows which lags behind the applied voltage in phase by π/2 radian. If the same
voltage is applied across another device Y, the same current flows but now it is in
phase with the applied voltage.
(i) Name the devices X and Y.
(ii) Calculate the current flowing in the circuit when the same voltage is applied
across the series combination of X and Y.
OR
a. A series LCR circuit is connected to an ac source. Using the phasor diagram, derive
the expression for the impedance of the circuit.
b. Plot a graph to show the variation of current with frequency of the ac source ,
explaining the nature of its variation for two different resistances R1 and R2 (R1< R2) at
resonance.
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Solution