JEE Main 2025 - Physics Memory Based Questions

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A parallel plate capacitor of capacitance 40µF is connected to a 100V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectric constant k=2. Due to the introduction of the dielectric, the extra charge and the change in electrostatic energy in the capacitor respectively are

  • 2 mC and 0.4J
  • 4 mC and 0.2J (correct)
  • 2 mC and 0.2 J
  • 8 mC and 2J

A uniform circular disc of radius 'R' and mass 'm' is rotating about an axis perpendicular to it's plane & passing through it's center. A small circular part of radius R/2 is removed from the original disc as shown in the figure. Find the moment of inertia of the remaining part of the original disc about the axis as given above.

  • 17 mR2 /32
  • 13 mR2 /32 (correct)
  • 15 mR2 /32
  • 27 mR2 /32

An electron in the ground state of the hydrogen atom has the orbit, radius of 5.3 × 10-11 m, while that for the electron in the third excited state is 8.48 × 10-10 m. The ratio of the de-Broglie wavelength of the electron in the ground state to that in the excited state is

  • 3
  • 4 (correct)
  • 16
  • 9

Find the dimensions of μo/εo

<p>[AL-1] (A)</p> Signup and view all the answers

A solid sphere of mass M, radius R exerts force F on a point mass. Now a concentric spherical mass is removed. What is the new force?

<p>6F/7 (A)</p> Signup and view all the answers

In a Vernier Caliper's, one Vernier scale division is smaller than one main scale division.

<p>True (A)</p> Signup and view all the answers

The Vernier constant is given by one main scale division multiplied by the number of Vernier scale divisions.

<p>False (B)</p> Signup and view all the answers

A bob of mass m is suspended at a point ‘O' by a light string of length 'l' and left to perform vertical motion (circular) as shown in the figure. Initially by applying horizontal velocity Vo at the point 'A', the string becomes slack when the bob reaches at the point 'D'. The ratio of the K.E of the bob at the points B and C is

<p>2 (A)</p> Signup and view all the answers

Ice at -10°C is to be converted into steam at 110°C. Mass of ice is 10-3 kg. What amount of heat is required?

<p>AQ = 730cal (C)</p> Signup and view all the answers

Given is a thin convex lens of glass (refractive index µ) and each slop having radius of curvature R. One side is polished for complete reflection. At what distance from the lens, an object be placed and the optic axis so that the image sets formed on the object itself?

<p>R/(2μ – 1) (D)</p> Signup and view all the answers

Flashcards

Capacitance

A measure of a material's ability to store electrical energy when a potential difference is applied across it.

Dielectric Constant

The ratio of the electric field strength inside a dielectric material to the electric field strength in a vacuum.

Electrostatic Energy

The energy stored in a capacitor due to the presence of an electric field between its plates.

Moment of Inertia

The property of a body to resist changes in its rotational motion.

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De Broglie Wavelength

The wave-like nature of particles, described by the relationship between a particle's momentum and wavelength.

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Permeability of Free Space (μ0)

A fundamental constant in electromagnetism, representing the permeability of free space.

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Gravitational Force

A force of attraction between objects with mass.

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Vernier Caliper

An instrument used to measure very small lengths or distances.

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Vernier Constant

The smallest length that can be measured by a Vernier caliper.

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Kinetic Energy

The energy possessed by an object due to its motion.

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Converting Ice to Steam

The process of converting ice into steam, involving changes in temperature and phase.

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Convex Lens

A curved lens that converges light rays to a focal point.

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Focal Length

The distance from the lens to the point where parallel light rays converge after passing through the lens.

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Refractive Index

The index of refraction of a material is a measure of how much light bends when it passes from one medium to another.

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Electric Force

The force experienced by a charged particle moving in an electric field.

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Work Function

The energy required to remove an electron from the surface of a metal.

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Photoelectric Effect

The emission of electrons from a metal surface when light of sufficient frequency is incident on it.

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Organ Tube

A musical instrument that produces sound by vibrating air inside a tube.

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Harmonics

The natural frequencies at which an object vibrates, leading to resonance.

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Density

The ratio of the mass of a substance to its volume.

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Young's Double Slit Experiment

A phenomenon involving the interference of light waves, creating bright and dark bands.

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Speed of Light

The speed at which light travels through a medium.

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Lanthanide

A set of elements that have similar chemical properties, due to their shared electron configuration.

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Linear Compound

A molecule with a linear shape, where all atoms lie on a straight line.

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Percentage Composition

The percentage of a specific element present in a compound.

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Electrolysis

A process involving the use of electrical energy to drive a non-spontaneous chemical reaction.

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Electronegativity

The tendency of an atom to attract electrons towards itself when involved in a chemical bond.

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Electron Affinity

The change in energy when an electron is added to a neutral atom in its gaseous state.

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Half Life

The time taken for half of the radioactive nuclei in a sample to decay.

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Radioactive Decay

The process by which unstable atomic nuclei spontaneously emit particles or energy.

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Boiling Point Elevation

The difference in boiling point of a solution compared to the pure solvent.

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Vitamin

A substance that provides essential nutrients, important for growth and development.

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Stereoisomers

The spatial arrangement of atoms in a molecule, considering the possibilities of chirality.

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IUPAC Naming

A systematic method for naming chemical compounds, based on the structure and functional groups.

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Geometric Isomers

A pair of isomers with different spatial arrangements of atoms around a double bond.

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Charge on Metal Ion

The charge on the central metal ion in a complex ion.

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Shape of Complex

The arrangement of atoms or ligands around the central metal ion in a complex ion.

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Chemical Reactivity

A measure of the tendency of a substance to react chemically.

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Equilibrium

The state of a system where the forward and reverse rates of a reaction are equal.

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Kp

The equilibrium constant for a reaction expressed in terms of partial pressures.

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SN1 Mechanism

A type of nucleophilic substitution reaction where the leaving group leaves first to form a carbocation intermediate.

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SN2 Mechanism

A type of nucleophilic substitution reaction where the nucleophile attacks the substrate in one step.

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De Broglie Wavelength

The wavelength of a particle, as defined by the de Broglie hypothesis.

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Enthalpy Change (ΔH)

A measure of the energy change occurring during a chemical reaction.

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Internal Energy (ΔE)

The energy associated with the internal state of a system.

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Work (W)

The product of the force applied to an object and the distance moved in the direction of the force.

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Heat (Q)

The transfer of thermal energy between objects at different temperatures.

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Entropy (S)

A measure of the tendency of a substance to undergo a change in its physical state.

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First Law of Thermodynamics

The first law of thermodynamics is the conservation of energy - energy is not created or destroyed, it can only be transferred and transformed.

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Second Law of Thermodynamics

The second law of thermodynamics states that the entropy of an isolated system always increases over time.

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Third Law of Thermodynamics

The third law of thermodynamics states that the entropy of a system approaches a constant value as the temperature approaches absolute zero.

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Gibbs Free Energy Equation

An equation that describes the relationship between enthalpy change, entropy change, and Gibbs free energy change.

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Hyperbola

A geometrical shape with two foci and a set of points where the difference between the distances to the foci is constant.

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Latus Rectum

A line segment passing through the focus of a conic section and perpendicular to the axis of symmetry.

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Function

A relationship where each element of a set is related to exactly one element of another set.

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Relation

A relationship where each element of a set is related to at least one element of another set.

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Set

A set of elements where the order of elements does not matter.

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Equivalence Relation

A relationship where elements within the same set are considered equivalent.

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Geometric Progression (GP)

A sequence of numbers where each term is obtained by multiplying the previous term by a constant factor.

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Differentiation

The process of finding the derivative of a function.

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Differential Equation

A function that describes the relationship between an independent variable and its derivative.

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Area

The area enclosed by a closed curve.

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Integration

The process of finding the integral of a function.

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Real Numbers

The set of all real numbers.

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Integers

The set of all integers, including positive and negative numbers and zero.

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Rational Numbers

The set of all rational numbers, expressed as fractions of integers.

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Irrational Numbers

The set of all irrational numbers, which cannot be expressed as fractions of integers.

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Composite Number

A number that can be written as a product of primes.

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Prime Number

A number that has exactly two factors: 1 and itself.

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GCD

The greatest common divisor of two or more integers.

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LCM

The least common multiple of two or more integers.

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Study Notes

JEE Main - 2025 (Shift-1) - Memory Based Questions

  • Physics:

    • A 40µF parallel plate capacitor, connected to 100V, has its intermediate space filled with a dielectric (k=2). The associated change in charge and electrostatic energy is 4 mC and 0.2J, respectively.
    • A uniform circular disc of radius R and mass m, with a smaller circular part of radius R/2 removed, has a moment of inertia of 13mR²/32 about its central axis.
    • The ratio of de Broglie wavelengths of an electron in the ground state to that in the third excited state of hydrogen is 4/1
  • Physics:

    • The dimensions of the permeability constant µ₀ are [AL⁻¹].
    • A solid sphere of mass M and radius R exerts a force F on a point mass. A concentric spherical shell of mass is removed. The new force is 3F/7.
    • Statement I: In a Vernier caliper, one Vernier division is smaller than one main scale division. Statement II: Vernier constant is the product of one main scale division and the number of Vernier scale divisions. Statement I is true, but Statement II is false.
  • Physics:

    • The heat required to convert 10⁻³ kg of ice at -10°C to steam at 110°C is approximately 900 calories.
    • An object placed at a certain distance from a convex lens with reflective index µ and radius of curvature R, forms an image on the object itself, requiring a distance of R/(2µ-1) from the lens along the optic axis.
    • An electron entering the space between two parallel, oppositely charged plates, each 10cm long, leaves the field with a horizontal velocity of 10m/s. The vertical component of its velocity is 16×10⁶ m/s (given electric field is 9.1 V/cm).
    • Electronegativity order : Mg < Be < B < N.
    • The photoelectric effect is possible only for cesium when light of wavelength 550nm is incident.
  • Physics:

    • A bob of mass m is suspended on a string of length l. By applying horizontal velocity V₀ at point A, the string becomes slack as the bob reaches point D. The ratio of kinetic energies at B and C is 2:1.
  • Chemistry:

    • The lanthanide ion with 7 electrons in its outermost shell is Gd³⁺.
    • The number of linear compounds from the list (NO₂ ,O₃,OF₂, NO₂, BeCl₂, N₃, SO₃, CO₂, XeF₂) is 5.
    • The percentage of Cl in an organic compound (mass 180g) that forms 143.5 g of AgCl upon precipitation is 35.2%. (considering atomic weights of Cl=35.5 and Ag=108)
    • Electrolysis of concentrated sulphuric acid (H₂SO₄) gives H₂S₂O₈.
  • Chemistry:

    • The incorrect statement about the behavior of radioactive decay is that the decay constant depends on temperature..
  • Chemistry:

    • For [NiCl₄]²⁻, the charge on the metal is +2 and the shape is tetrahedral.
  • Mathematics:

    • The image of a triangle with vertices (1,3), (3,1) and (2,4) is reflected across the line x+2y=2. The centroid is (α, β). 15(α-β) = 22
    • From the English alphabet, 5 letters are chosen and arranged in alphabetical order. The probability that the middle letter is M is 5148/2053.
  • Mathematics:

    • The function f(x,y) = f(x)f'(y) + f(y)f'(x) when f(0) = 1, satisfies certain properties. Then E [loge f(n)] = 2050.
  • Mathematics:

    • The product of all solutions x > 0 of the equation e⁵(logₑ x)² + 3 = x is e⁶.

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