Science (English Medium)
Academic Year: 2025-2026
Date & Time: 20th February 2026, 10:30 am
Duration: 3h
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General Instructions:
Read the following instructions very carefully and strictly follow them:
- This question paper contains 33 questions. All questions are compulsory.
- This question paper is divided into five sections - Sections A, B, C, D and E.
- In Section A: Questions no. 1 to 16 are Multiple Choice type questions. Each question carries 1 mark.
- In Section B: Questions no. 17 to 21 are Very Short Answer type questions. Each question carries 2 marks.
- In Section C: Questions no. 22 to 28 are Short Answer type questions. Each question carries 3 marks.
- In Section D: Questions no. 29 and 30 are case study-based questions. Each question carries 4 marks.
- In Section E: Question numbers 31 to 33 are Long Answer type questions. Each question carries 5 marks.
- There is no overall choice given in the question paper. However, an internal choice has been provided in few questions in all the Sections except Section A.
- Kindly note that there is a separate question paper for Visually Impaired candidates.
- Use of calculator is not allowed.
You may use the following values of physical constants wherever necessary:
c = 3 × 108 m/s
h = 6.63 × 10−34 Js
e = 1.6 × 10−19 C
μ0 = 4π × 10−7 T m A−1
ε0 = 8.854 × 10−12 C2 N−1 m−2
`1/(4 pi epsilon_0)` = 9 × 109 N m2 C−2
Mass of electron (me) = 9.1 × 10−31 kg.
Mass of neutron = 1.675 × 10−27 kg.
Mass of proton = 1.673 × 10−27 kg.
Avogadro’s number = 6.023 × 1023 per gram mole
Boltzmann’s constant = 1.38 × 10−23 JK−1
Two small identical metallic balls having charges q and −2q are kept far at a separation r. They are brought in contact and then separated at distance `r/2`. Compared to the initial force F, they will now ______.
attract with a force `F/2`.
repel with a force `F/2`.
repel with a force F.
attract with a force F
Chapter:
The figure represents the variation of the electric potential V at a point in a region of space as a function of its position along the x-axis. A charged particle will experience the maximum force at ______.
P
Q
R
S
Chapter:
Four long straight thin wires are held vertically at the corners A, B, C and D of a square of side ‘a’, kept on a table and carry equal current T. The wire at A carries current in upward direction whereas the current in the remaining wires flows in downward direction. The net magnetic field at the centre of the square will have the magnitude ______.
`(mu_0 I)/(pi a)` and directed along OC.
`(mu_0 I)/(pi a sqrt 2)` and directed along OD.
`(mu_0 I sqrt2)/(pi a)` and directed along ОВ.
`(2 mu_0 I)/(pi a)` and directed along OA.
Chapter:
The magnetic flux through a loop placed in a magnetic field can be changed by changing ______.
area of the loop only.
the value of magnetic field only.
orientation of the loop in the magnetic field only.
any one or more of the factors given in (A), (B) and (C).
Chapter:
Which of the following statements is not true for electric energy in ac form compared to that in dc form?
Production of ac is economical.
ас сan be easily and efficiently converted from one voltage to the other.
ас can be transmitted economically over long distances.
ac is less dangerous.
Chapter:
The magnetic field in a plane electromagnetic wave travelling in glass (n = 1.5) is given by
By = (2 × 10−7 T) sin (αx + 1.5 × 1011 t)
where x is in metres and t is in seconds. The value of α is ______.
0.5 × 103 m−1
6.0 × 102 m−1
7.5 × 102 m−1
1.5 × 103 m−1
Chapter:
Light of which of the following colours will have the maximum energy in a photon associated with it?
Red light
Yellow light
Green light
Blue light
Chapter:
Nuclides with the same number of neutrons are called ______.
Isobars
Isotones
Isotopes
Isomers
Chapter:
The radius of a nucleus of mass number 125 is ______.
6.0 fm
30 fm
72 fm
150 fm
Chapter:
The energy of an electron in an orbit in hydrogen atom is −3.4 eV. Its angular momentum in the orbit will be ______.
`(3 h)/(2 pi)`
`(2 h)/pi`
`h/pi`
`h/(2 pi)`
Chapter:
A good diode checked by a multimeter should indicate ______.
high resistance in reverse bias and a low resistance in forward bias.
high resistance in both forward bias and reverse bias.
low resistance in both reverse bias and forward bias.
high resistance in forward bias and low resistance in reverse bias.
Chapter:
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The rms and the average value of an ac voltage V = V0 sin ot volt over a cycle respectively will be ______.
`V_0/2, V_0/sqrt 2`
`V_0/pi, V_0/2`
`V_0/sqrt2`, 0
V0, `V_0/sqrt 2`
Chapter:
Assertion (A): Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more.
Reason (R): Induced emf produced is directly proportional to the magnetic flux.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Assertion (A) is true, but Reason (R) is false.
Both Assertion (A) and Reason (R) are false.
Chapter:
Assertion (A): In Young’s double-slit experiment, the fringe width for dark and bright fringes is the same.
Reason (R): Fringe width is given by β = `(lambda D)/d`, where symbols have their usual meanings.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Assertion (A) is true, but Reason (R) is false.
Both Assertion (A) and Reason (R) are false.
Chapter:
Assertion (A): Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion.
Reason (R): For heavy nuclei, binding energy per nucleon increases with increasing Z while for light nuclei, it decreases with increasing Z.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Assertion (A) is true, but Reason (R) is false.
Both Assertion (A) and Reason (R) are false.
Chapter:
Assertion (A): Photoelectric effect is a spontaneous phenomenon.
Reason (R): According to the wave picture of radiation, an electron would take hours/days to absorb sufficient energy to overcome the work function and come out from a metal surface.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Assertion (A) is true, but Reason (R) is false.
Both Assertion (A) and Reason (R) are false.
Chapter:
An electric iron rated 2.2 kW, 220 V is operated at 110 V supply. Find:
- its resistance, and
- heat produced by it in 10 minutes.
Chapter:
A current of 4.0 A flows through a wire of length 1 m and cross-sectional area 1.0 mm2, when potential difference of 2 V is applied across its ends.
Calculate the resistivity of the material of the wire.
Chapter:
A plane circular coil is rotated about its vertical diameter with a constant angular speed ω in a uniform horizontal magnetic field. Initially the plane of the coil is parallel to the magnetic field. Draw plots showing the variation of the following physical quantities as a function of ωt, where t represents time elapsed:
- Magnetic flux Φ linked with the coil, and
- emf induced in the coil.
Chapter:
A tank is filled with a liquid to a height of 12.5 m. The apparent depth of a needle lying at the bottom of the tank is measured to be 9.0 m. Calculate the speed of light in the liquid.
Chapter:
Two thin lenses of focal length f1 and f2 are placed in contact with each other coaxially. Prove that the focal length f of the combination is given by f = `(f_1 f_2)/(f_1 + f_2)`.
Chapter:
Suppose a pure Si crystal has 5 × 1028 atoms per m3. It is doped with 5 × 1022 atoms per m3 of Arsenic. Calculate majority and minority carrier concentration in the doped silicon.
(Given: ni = 1.5 × 1016 m−3)
Chapter:
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Two parallel plate capacitors X and Y are connected in series to a 6 V battery. They have the same plate area and same plate separation but capacitor X has air between its plates, whereas capacitor Y contains a material of dielectric constant 4.
- Calculate the capacitances of X and Y, if the equivalent capacitance of the combination of X and Y is 4 µF.
- Calculate the potential difference across the plates of X and Y.
Chapter:
Write the expression for the magnetic field due to a current element in vector form. Consider a 1 cm segment of a wire, centered at the origin, carrying a current of 10 A in positive x-direction. Calculate the magnetic field `vec B` at a point (1 m, 1 m, 0).
Chapter:
A long solenoid of length L and radius r1 having N1 turns is surrounded symmetrically by a coil of radius r2 (> r1) having N2 turns (N2 ≪ N1) around its mid-point. Derive an expression for the mutual inductance of solenoid and coil. Is M12 = M21 valid in this case?
Chapter:
Considering the case of charging of a capacitor, show that id = `(d phi_E)/dt`. What is the value of id for a conductor across which a constant voltage is applied?
Chapter:
Write any two characteristic features of nuclear forces?
Chapter: [13] Nuclei
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.
Chapter:
Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.
Chapter:
If Bohr's quantization postulate (angular momentum = `(n h)/(2 pi)`) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.
Chapter:
Photoemission of electrons occurs from a metal (Φ0 = 1.96 eV) when light of frequency 64 × 1014 Hz is incident on it. Calculate:
- Energy of a photon in the incident light,
- The maximum kinetic energy of the emitted electrons, and
- The stopping potential.
Chapter:
Draw the circuit diagram of a full wave rectifier. Explain its working showing its input and output waveforms.
Chapter: [14] Semiconductor Electronics - Materials, Devices and Simple Circuits
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