Science (English Medium)
Academic Year: 2023-2024
Date: March 2024
Duration: 3h
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General Instructions:
- This question paper contains 33 questions. All questions are compulsory.
- Question paper is divided into FIVE sections - Section A, B, C, D and E.
- Section A: Question number 1 to 12 are Multiple Choice (MCQ) type questions and 13 to 16 are Assertion Reasoning based carrying 1 mark each.
- Section B: Question number 17 to 21 are Short Answer-1 (SA-1) type questions carrying 2 marks each.
- Section C: Question number 22 to 28 are Short Answer-2 (SA-2) type questions carrying 3 marks each
- Section D: Question number 29 to 30 are Case-Based questions carrying 4 marks each.
- Section E: Question number 31 and 33 are Long Answer (LA) type questions carrying 5 marks each.
- There is no overall choice. However, an internal choice has been provided in one question in Section B, one question in Section C, one question in Section D and all three questions in Section E. You have to attempt only one of the choices in such questions.
- Use of calculators is NOT allowed.
- c = 3 × 108 m/s
h = 6.63 × 10-34 Js
e = 1.6 × 10-19C
μ0 = 4π × 10-7T m A-1
ε0 = 8.854 × 10-12C2N-1m-2
`1/(4piε_0) = 9 xx 10^9 Nm^2C^-2`
Mass of electron = (me) = 9.1 × 10-31 kg
Mass of Neutron = 1.675 × 10-27kg
Mass of proton = 1.673 × 10-27kg
Avogadro's number = 6.023 × 1023 per gram mole
Boltzmann constant = 1.38 × 10-23 Jk-1
- c = 3 × 108 m/s
Which of the following is NOT the property of equipotential surface?
They do not cross each other.
The rate of change of potential with distance on them is zero.
For a uniform electric field, they are concentric spheres.
They can be imaginary spheres.
The work done in carrying a charge from one point to another on an equipotential surface is zero.
Chapter: [0.02] Electrostatic Potential and Capacitance
An electric dipole is placed at an angle of 30° with an electric field intensity of 2 × 105 N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm, is ______.
7 μC
8 mC
2 mC
5 mC
Chapter: [0.01] Electric Charges and Fields
A metallic plate exposed to white light emits electrons. For which of the following colours of light, the stopping potential will be maximum?
Blue
Yellow
Red
Violet
Chapter: [0.11] Dual Nature of Radiation and Matter
When alpha particles are sent through a thin gold foil, most of them go straight through the foil, because ______.
alpha particles are positively charged.
the mass of an alpha particle is more than the mass of an electron.
most of the part of an atom is empty space.
alpha particles move with high velocity.
Chapter: [0.12] Atoms
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?
Along -x axis
Along -z axis
Along +z axis
Along -y axis
Chapter: [0.04] Moving Charges and Magnetism
The relative magnetic permeability of a substance X is slightly less than unity and that of substance Y is slightly more than unity, then ______.
X is paramagnetic and Y is ferromagnetic.
X is diamagnetic and Y is ferromagnetic.
X and Y both are paramagnetic.
X is diamagnetic and Y is paramagnetic.
Chapter: [0.05] Magnetism and Matter
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 ______.
0.9 ohm
0.09 ohm
0.03 ohm
0.3 ohm
Chapter: [0.03] Current Electricity
An electron with angular momentum L moving around the nucleus has a magnetic moment given by ______.
e L/2m
e L/3m
e L/4m
e L/m
Chapter: [0.04] Moving Charges and Magnetism
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 ______.
reduction of current
reduction of current and voltage both
power loss is cut down
reduction of current and power loss is cut down both
Chapter: [0.07] Alternating Current
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 ______.
perpendicular to E and B and out of plane of the paper.
perpendicular to E and B and into the plane of the paper.
parallel and in the same direction as E.
parallel and in the same direction as B.
Chapter: [0.08] Electromagnetic Waves
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 shown in the figure. The magnitude of change in flux through the coil is ______.
200 Wb
275 Wb
225 Wb
250 Wb
Chapter: [0.06] Electromagnetic Induction
The energy of an electron in the nth orbit of the hydrogen atom is En = -13.6/n2eV. The negative sign of energy indicates that ______.
electron is free to move.
electron is bound to the nucleus.
the kinetic energy of the electron is equal to the potential energy of the electron.
atom is radiating energy.
Chapter: [0.12] Atoms
- Assertion (A): For the radiation of a frequency greater than the threshold frequency, the photoelectric current is proportional to the intensity of the radiation.
- Reason (R): Greater the number of energy quanta available, the greater the number of electrons absorbing the energy quanta and the greater the number of electrons coming out of the metal.
If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
If Assertion is true but Reason is false.
If both Assertion and Reason are false.
Chapter: [0.11] Dual Nature of Radiation and Matter
- Assertion (A): Putting the p-type semiconductor slab directly in physical contact with the 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.
If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
If Assertion is true but Reason is false.
If both Assertion and Reason are false.
Chapter: [0.14] Semiconductor Electronics - Materials, Devices and Simple Circuits
- Assertion (A): An electron has a high potential energy when it is at a location associated with a more negative value of potential, and a low potential energy when at a location associated with a more positive potential.
- Reason (R): Electrons move from a region of higher potential to region of lower potential.
Select the most appropriate answer from the options given below:
Both A and R are true and R is the correct explanation of A.
Both A and R are true but R is not the correct explanation of A.
A is true but R is false.
A is false and R is also false.
Chapter: [0.02] Electrostatic Potential and Capacitance
- 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.
If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
If Assertion is true but Reason is false.
If both Assertion and Reason are false.
Chapter: [0.09] Ray Optics and Optical Instruments
Name the device which utilizes the unilateral action of a pn diode to convert ac into dc.
Chapter: [0.14] Semiconductor Electronics - Materials, Devices and Simple Circuits
Draw the circuit diagram of a full wave rectifier.
Chapter: [0.14] Semiconductor Electronics - Materials, Devices and Simple Circuits
The wavelength λ of a photon and the de-Broglie wavelength of an electron have the same value. Show that energy of a photon in (2λmc/h) times the kinetic energy of electron; where m, c and h have their usual meaning.
Chapter: [0.11] Dual Nature of Radiation and Matter
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.
Chapter: [0.09] Ray Optics and Optical Instruments
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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? The temperature coefficient of resistance of nichrome averaged over the temperature range involved is 1.70 × 10−4 °C−1.
Chapter: [0.03] Current Electricity
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.
Chapter: [0.09] Ray Optics and Optical Instruments
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?
Chapter: [0.09] Ray Optics and Optical Instruments
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 `""_29^63"Cu"` atoms (of mass 62.92960 u).
Chapter: [0.13] Nuclei
Charges (+q) and (–q) are placed at 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?
Chapter: [0.02] Electrostatic Potential and Capacitance
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
What is the kinetic energy of the electron in this state?
Chapter: [0.12] Atoms
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
What is the potential energy of the electron in this state?
Chapter: [0.12] Atoms
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
Which of the answers above would change if the choice of the zero of potential energy is changed?
Chapter: [0.12] Atoms
A wire of uniform cross-section and resistance 4 ohms is bent in the shape of square ABCD. Point A is connected to 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?
Chapter: [0.03] Current Electricity
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 cross-section. Calculate the magnetic field in the region r < a and r > a.
Chapter: [0.04] Moving Charges and Magnetism
Identify the part of the electromagnetic spectrum which:
- produces the heating effect.
- is absorbed by the ozone layer in the atmosphere.
- is used for studying crystal structure.
Write any one method of the production of each of the above radiations.
Chapter: [0.08] Electromagnetic Waves
Define mutual inductance.
Chapter: [0.06] Electromagnetic Induction
Write the S.I. unit of mutual inductance.
Chapter: [0.06] Electromagnetic Induction
Two circular loops, one of small radius r and the other of larger radius R, such that R >> r, are placed coaxially with centres coinciding. Obtain the mutual inductance of the arrangement.
Chapter: [0.06] Electromagnetic Induction
Two long straight parallel current-carrying conductors are kept ‘a’ distant apart in the air. The direction of current in both the conductors is the same. Find the magnitude of force per unit length and the direction of the force between them. Hence define one ampere.
Chapter: [0.04] Moving Charges and Magnetism
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 the p-side is connected to the positive terminal of the battery and the n-side to the negative terminal, it is said to be forward-biased. When an external voltage is applied across the diode such that the n-side is positive and the 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 an increase in forward voltage. When the diode is reverse biased, the reverse bias voltage produces a very small current of about a few microamperes which almost remains constant with bias. This small current is a reverse saturation current. |
- 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 - In which of the following figures, the pn diode is reverse biased?
(a)
(b)
(c)
(d)
- Based on the V-I characteristics of the diode, we can classify the 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) 
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
Chapter: [0.14] Semiconductor Electronics - Materials, Devices and Simple Circuits
Read the following paragraph and answer the questions that follow.
| Types of Lenses and their combination |
|
A convex or converging lens is thicker at the centre than at the edges. It converges a beam of light on refraction through it. It has a real focus. Convex lens is of three types: Double convex lens, Plano-convex lens and Concavo-convex lens. The concave lens is thinner at the centre than at the edges. It diverges a beam of light on refraction through it. It has a virtual focus. Concave lenses are of three types: Double concave lens, Plano concave lens and Convexo-concave lens. When two thin lenses of focal lengths f1 and f2 are placed in contact with each other along their common principal axis, then the two-lens system is regarded as a single lens of focal length f and `1/f = 1/f_1 + 1/f_2` The value of focal length and power of a lens must be used with proper sign consideration. |
- Two thin lenses are kept coaxially in contact with each other and the focal length of the combination is 80 cm. If the focal length of one lens is 20 cm, the focal length of the other would be ______.
(a) -26.7 cm
(b) 60 cm
(c) 80 cm
(d) 30 cm - A spherical air bubble is embedded in a piece of glass. For a ray of light passing through the bubble, it behaves like a ______.
(a) converging lens
(b) diverging lens
(c) mirror
(d) thin plane sheet of glass - The lens generally used in magnifying glasses is ______.
(a) single concave lens
(b) single convex lens
(c) combination of a convex lens of lower power and a concave lens of lower focal length
(d) Planoconcave lens - The magnification of an image by a convex lens is positive only when the object is placed ______.
(a) at its focus F
(b) between F and 2F
(c) at 2F
(d) between F and the optical centre
OR
A convex lens of 20 cm focal length forms a real image which is three times magnified. The distance of the object from the lens is ______.
(a) 13.33 cm
(b) 14 cm
(c) 26.66 cm
(d) 25 cm
Chapter:
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Draw a ray diagram for the formation of the image of a point object by a thin double convex lens having radii of curvature R1 and R2. Hence derive lens maker’s formula.
Chapter:
A converging lens has a focal length of 10 cm in air. It is made of a material with a refractive index of 1.6. If it is immersed in a liquid of refractive index 1.3, find its new focal length.
Chapter: [0.09] Ray Optics and Optical Instruments
How is a wavefront different from a ray?
Chapter: [0.1] Wave Optics
Using Huygens’s construction of secondary wavelets draw a diagram showing the passage of a plane wavefront from a denser to a rarer medium. Using it verifies Snell’s law.
Chapter: [0.1] Wave Optics
In a double-slit experiment using the light of wavelength 600 nm, the angular width of the fringe formed on a distant screen is 0.1°. Find the spacing between the two slits.
Chapter: [0.1] Wave Optics
Write two points of difference between an interference pattern and a diffraction pattern.
Chapter: [0.1] Wave Optics
Obtain the expression for capacitance for a parallel plate capacitor.
Chapter: [0.02] Electrostatic Potential and Capacitance
Obtain the equivalent capacitance of the network shown in the figure. For a 300 V supply, determine the charge on each capacitor.
Chapter: [0.02] Electrostatic Potential and Capacitance
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.
Chapter: [0.02] Electrostatic Potential and Capacitance
A capacitor of capacity C1 is charged to the potential of V0. 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.
Chapter: [0.02] Electrostatic Potential and Capacitance
Draw graphs showing the variations of inductive reactance and capacitive reactance with the frequency of the applied ac source.
Chapter: [0.07] Alternating Current
Draw the phasor diagram for a series LRC circuit connected to an AC source.
Chapter: [0.07] Alternating Current
When an alternating voltage of 220V is applied across 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.
- Name the devices X and Y.
- Calculate the current flowing in the circuit when the same voltage is applied across the series combination of X and Y.
Chapter: [0.07] Alternating Current
A series LCR circuit is connected to an ac source. Using the phasor diagram, derive the expression for the impedance of the circuit.
Chapter: [0.07] Alternating Current
Plot a graph to show the variation of current with a frequency of the ac source, explaining the nature of its variation for two different resistances R1 and R2 (R1 < R2) at resonance.
Chapter: [0.07] Alternating Current
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