Science (English Medium)
Academic Year: 2025-2026
Date: मार्च 2026
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General Instruction:
- There are 33 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 sixteen questions, twelve MCQ and four Assertion Reasoning based of 1 mark each, Section B contains five questions of two marks each, Section C contains seven questions of three marks each, Section D contains two case study-based questions of four marks each and Section E contains three long answer questions of five marks each.
- There is no overall choice. However, an internal choice has been provided in two question in Section B, one question in Section C 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.
- You may use the following values of physical constants where ever necessary.
- c = 3 × 108 m/s
- me = 9.1 × 10−31 kg
- mp = 1.7 × 10−27 kg
- e = 1.6 × 10-19 C
- μ0 = 4π × 10−7T m A−1
- h = 6.63 × 10-34 Js
- ε0 = 8.854 × 10−12C2N−1m−2
- Avogadro's number = 6.023 × 1023 per gram mole.
If a charged hollow sphere and a solid sphere of aluminum and copper of equal radii are in electrostatic equilibrium, then which of the following statements is true?
Both the spheres are having equal charges.
The hollow sphere will have more charge than the solid sphere at its surface.
The aluminum sphere will have more charge on its surface than the copper sphere.
If the hollow sphere is also made up of aluminum, then it will have more charge.
Chapter:
A coil contains N turns of insulated copper wire of diameter d and resistivity ρ wound on a cylinder of diameter D. What is the total resistance between the two ends of the coil of copper wire?
(Given D >> d)
`(4 rho ND)/d^2`
`(8 rho ND)/d^2`
`(2 rho ND)/d^2`
`(12 rho ND)/d^2`
Chapter:
If the phasor diagram for a device connected to an AC supply is as shown in the figure, then which of the following statements is true?
When the frequency of the AC source is increased, then the impedance of the device decreases.
This device behaves as a conducting wire when connected across a DC source.
When the frequency of the AC source is decreased, then the impedance of the device decreases.
This device stores energy in the form of magnetic potential energy.
Chapter:
Which of the following statement is true for the radio waves and the gamma rays?
The energy of gamma rays is lesser than that of the radio waves.
The frequency of the radio waves is higher than that of gamma rays.
The radio waves and the gamma rays have the same energy.
The energy of radio waves is lesser than that of the gamma rays.
Chapter:
A glass prism has internal angles of 45°, 45° and 90°. The glass has a critical angle of 45°. Which of the following ray diagrams depicts the possible path the of light through the prism?
Chapter:
The light from a monochromatic source is incident on a single slit and the resulting diffraction pattern is viewed on a screen. The graph shows the variation of the intensity with the distance on the screen.
The width of the slit is increased, keeping the intensity of the source the same. Which of the following graphs is correct? (The original curve is shown with a dashed line.)
Chapter:
Which of the following transitions corresponds to the emission of the radiation of the maximum wavelength?
I
III
IV
VI
Chapter:
A charged particle is projected along the axis of a current carrying loop. Which of the following statements is true?
The acceleration of the charged particle will depend on the velocity with which it is projected.
The acceleration of the charged particle will depend on the magnitude of the current passing through the coil.
The acceleration of the charged particle will depend on the radius of the coil.
The charged particle will move with constant velocity.
Chapter:
Two small identical magnets are allowed to fall freely one through a vertical solenoid of 20 m made up of copper and another in air through the same vertical distance. The time taken by the two magnets to fall will be ______.
same in both the cases.
more for the magnet falling in air.
more for the magnet falling through the solenoid.
infinite
Chapter:
The emf generated by an AC generator is given by V = Vo sin ωt, where ω is the angular frequency of the armature of the generator. What will be the emf if the angular frequency is doubled?
V = Vo sin 2ωt
V = 2Vo sin ωt
V = 2Vo sin 2ωt
V = Vo sin ωt
Chapter:
The ratio of the nuclear densities of two nuclei having the mass numbers 8 and 27 is ______.
8 : 27
3 : 2
2 : 3
1 : 1
Chapter:
When we move magnetic compass from point P to Q then which of the following statement is true?
The deflection of the magnetic needle at P and Q will be in the same direction.
The deflection of the magnetic needle at P and Q will be in the opposite directions.
The deflection of the magnetic needle at P and Q will be perpendicular to each other.
The deflection of the magnetic needle at P and Q will be inclined at 45° with respect to each other.
Chapter:
Assertion (A): The total energy of an electron in a hydrogen atom is negative.
Reason (R): The centripetal force is provided by electrostatic force.
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
Assertion is true but Reason is false.
Both Assertion and Reason are false.
Chapter:
Assertion (A): The critical angle of light passing from glass to air is minimum for violet colour.
Reason (R): The wavelength of blue light is greater than the light of other colours.
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
Assertion is true but Reason is false.
Both Assertion and Reason are false.
Chapter:
Assertion (A): Two light sources emitting waves of similar wavelengths are coherent.
Reason (R): Two light sources emitting waves having zero or constant phase difference are known as coherent sources.
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
Assertion is true but Reason is false.
Both Assertion and Reason are false.
Chapter:
Assertion (A): For three point charges to be in equilibrium, they must be collinear.
Reason (R): One of the three charges must have different polarity than rest of the two.
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
Assertion is true but Reason is false.
Both Assertion and Reason are false.
Chapter:
The amplitude of the magnetic field of a plane electromagnetic wave propagating along the positive X axis in a vacuum is 510 nT`hat k` and its angular frequency is 60 × 106 rad/sec. Write the expression for the electric field `(vec E)`.
Chapter:
The following graph shows the potential difference across the terminals of a cell against its load current.
Find,
- the emf of the cell and
- the internal resistance of the cell.
Chapter:
A charge q is placed inside a sphere of radius ‘a’ filled with water and another charge 2q is placed inside a cube of side ‘2a’ which is vacuumed inside. Find the ratio of the flux linked with the sphere to that linked with the cube. (Take relative permittivity of water as 80.)
Chapter:
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Write an expression for the magnetic force per unit length between two parallel thin current carrying wires. Hence define one ampere.
Chapter:
Draw a diagram representing the behaviour of magnetic field lines for a diamagnetic substance.
Chapter:
Draw a diagram representing the behaviour of magnetic field lines for a paramagnetic substance.
Chapter:
How does the impact parameter affect the trajectory of an α-particle scattered by a heavy nucleus? What is the value of the impact parameter for a head-on collision of α-particles with the nucleus?
Chapter:
Plot a graph showing variation of de-Broglie wavelength λ versus `1/sqrt V`, where V is accelerating potential for a particle of mass m and charge q. Obtain the slope of this graph.
Chapter:
Draw a neat diagram of a full-wave rectifier and explain it’s working.
Chapter:
The current I1 in a wire is getting divided in two wires with currents I2 and I3 at a junction in a circuit. The currents in the three wires are related by I1 = I2 + I3.
- State the fundamental law from which this relation is derived.
- Explain the validation of the law of conservation of energy in Kirchhoff’s voltage law?
Chapter:
How does the balancing condition get affected if you are interchanging the galvanometer and the cell in the Wheatstone bridge?
Chapter:
A fast-moving neutron collides with the nucleus of Plutonium (Pu), thereby producing Xenon (Xe) and Zirconium (Zr) along with neutrons.
- Write the nuclear fission reaction.
- Find the energy released in the above nuclear reaction.
Given atomic masses:
\[\ce{m(^239_94 Pu)}\] = 239.052157 u
\[\ce{m(^103_40 Zr)}\] = 102.926597 u
\[\ce{m(^134_54Xe)}\] = 133.905040 u
\[\ce{m(^1_0n)}\] = 1.00866 u
Chapter:
A compound microscope consists of an objective lens of focal length 0.82 cm and an eyepiece lens of focal length 2.9 cm. An object is placed 0.91 cm from the objective lens. The image is formed at the near point (25 cm) from the eye.
- Calculate the angular magnification of the microscope. (2)
- Draw the ray diagram of a compound microscope in normal adjustment. (1)
Chapter:
With the help of a diagram, show how a plane wave is reflected from a surface. Hence, verify the law of reflection.
Chapter: [10] Wave Optics
If a point sized object having charge 1 C and mass 1 g is projected with a velocity of `2hat i` m/s from a point (0, 2 cm, 0) in the region of a magnetic field of −0.1 `hat k` T which spreads in the first quadrant.
- What will be the shape of the path followed by the given charged particle?
- At what point will it cross the X-axis?
- What will be the kinetic energy of the particle when it enters the fourth quadrant?
Chapter:
A solenoid has a core of material with relative permeability 200. The windings of the solenoid are insulated from the core and carry a current of 1A. If the number of turns is 2000 per metre, calculate
- magnetic intensity,
- magnetic field and
- magnetisation.
Chapter:
A conducting coil of 50 turns and area `5/pi` cm2 is rotating along the axis of a solenoid of length 50 cm and 2000 turns, carrying a current of 5 A. What will be the value of the maximum emf generated?
Chapter:
| 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. The applied voltage mostly drops across the depletion region and the voltage drop across the p-side and n-side of the junction is negligible. 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. The applied voltage mostly drops across the depletion region. |
I. Ge and Si diodes start conducting at 0.3 V and 0.7 V, respectively. In the following figure, if the Ge diode connections are reversed, the value of Vo changes by (assume that the Ge diode has a large breakdown voltage):
- 0.2 V
- 0.4 V
- 0.6 V
- 0.8 V
II. The values of Vo and Id for the network are:
- 13 V, 2.32 mA
- 11.7 V, 2.08 mA
- 11.3 V, 2.01 mA
- 11 V, 1.96 mA
III. The circuit shown below contains two ideal diodes, each with a forward resistance of 50 Ω. If the battery voltage is 6 V, the current through the 100 Ω resistance (in amperes) is:
- 0.036
- 0.020
- 0.030
- 0.027
IV. In the figure, potential difference between A and B is:
- Zero
- 5 V
- 10 V
- 15 V
Chapter:
|
Photoelectric effect is the phenomenon of the ejection of electrons when the radiation of suitable frequency is made to fall on the surface of a metal. When light of a suitable wavelength falls on the emitter C given in the diagram, the photoelectrons are emitted. These photoelectrons are drawn to the collector A. The photoelectric current of the order of a few microamperes can be normally obtained from the device given in the figure. The device given converts a change in intensity of illumination into a change in photocurrent. This current can be used to operate control systems and in light measuring devices. The devices are made up of metals with low ionization enthalpies, for example, platinum, whose work function is 6.35 eV.
|
- If infrared radiation of 3 × 1011 Hz is used as incident radiation, determine the reading of microammeter? Justify mathematically. (2)
- In the given diagram, if terminal B is shifted towards the left, then how will it affect the reading of the microammeter? (1)
- Plot a graph showing this variation in the reading of the micrometer on shifting the terminal B towards the right. (1)
Chapter:
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A dielectric slab of thickness t is introduced between the plates of a parallel plate capacitor of area A and separation d (where t < d). Find an expression for the capacitance with the dielectric slab.
Chapter:
A copper sphere of capacitor C is dropped in the ocean. Will the capacitance of the sphere increase, decrease or remain the same? Justify.
Chapter:
A capacitor is connected across a source of potential difference V and then the separation ‘d’ between the plates is increased using an insulating stick. Plot the ‘V’ vs ‘d’ graph for the given capacitor.
Chapter:
If a charge of 1 µC is placed at the origin and another charge of 3 µC is placed at the point (20 m, 0 m, 0 m) in an external uniform electric field of `40 V/m hat i` with the electric potential at the origin to be zero. Find the electrical potential energy of the system.
Chapter:
If one charged particle is moved from A to C To B and another charged particle of equal magnitude is moved from A to D to B, In a uniform external magnetic field. Than for which charged particle will more work be needed?
Chapter:
Electrostatic potential is constant throughout the volume of the conductor and has the same value on its surface why?
Chapter:
Equi-convex lenses are to be manufactured from glass with a refractive index of 1.55, with both faces having the same radius of curvature. What is the radius of curvature required if the focal length is 10 cm?
Chapter:
Obtain the relation A + δ = i + e for a prism where A is the angle of the prism, δ is the angle of deviation, i is the angle of incidence and e is the angle of emergence. Write this relation for the minimum deviation?
Chapter:
- State the working principle of a moving coil galvanometer? What modification is required in the galvanometer to make its scale linear? (2)
- If a galvanometer of resistance 49.5 Ω has a range of 0.05 A. What will be the value of resistance needed to convert it into an ammeter of range 5 A? (2)
- How should these two resistors be connected to the galvanometer in both cases? (1)
Chapter:
An input potential Vin = 200 sin 100 πt V is provided to an ideal transformer having 1000 turns in the primary coil and 100 turns in the secondary coil as shown in the figure. The load circuit has a resistance of 4Ω, a capacitive reactance of 2Ω, and an inductive reactance of 6Ω.
Find:
- the output voltage across the load circuit.
- the current is flowing through the load circuit.
- the power supplied to the load circuit by the transformer.
Chapter:
State the working principle of a transformer and explain how it is a key component in the transfer of electrical power over long distances.
Chapter:
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