JEE Main 2025 - Physics Memory 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 dielectric the extra charge and the change in electrostatic energy in the capacitor respectively are

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

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 moment of inertia of the remaining part of the original disc about the axis as given above.

  • 17/32 mR^2
  • 15/32 mR^2
  • 3/32 mR^2
  • 13/32 mR^2 (correct)

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 third excited state is 8.48 × 10^-10 m. The ratio of the de-Broglie wavelength is of electron in the ground state to that in the excited state is

  • 3
  • 4 (correct)
  • 9
  • 16

Find the dimensions of μ0/ε0

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

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

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

Given below are two statements: one is labelled as Statement I and the other is labelled as Statement II. Statement I- In a Vernier Caliper's, one Vernier scale division is smaller than one main scale division. Statement II- The Vernier constant is given by one main scale division multiplied by the number of Vernier scale divisions.

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

Given is a thin convex lens of glass (refractive index µ) and each slop having radius of carvature 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) (A)</p> Signup and view all the answers

An electron is made to enter symmetrically b/w two parallel and equal opposite charged metal plates, each of 10 cm length. The electron emerges out of the electric field region with a horizontal component of velocity 10m/s. if the magnitude of the electric field between the plates is 9.1V/cm, then the vertical component of velocity of electron is (mass of electron = 9.1 × 10^-31 kg, and charge of electron = 1.6 × 10^-19C).

<p>16 × 10^6 m/s (B)</p> Signup and view all the answers

The work functions of cesium (Cs) and lithium metals are 1.9eV & 2.5 CV, respectively. If we incident a light of wave length 550 nm on these two metal surface, then photo-electric effect is possible for the case of

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

A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities p1 and p2, respectively. The frequency of 9th harmonic of closed tube is identical with 4th harmonic of open tube. If the length of the closed tube is 10cm and the density ratio of the gases is p1:p2 = 1:16, then the length of the open tube is:

<p>20/9 cm (C)</p> Signup and view all the answers

A small point of mass m is placed at a distance 2R from the center of a big uniform solid sphere of mass ‘m' and radius R. The gravitational force on 'm' due to ‘m' is F1. A spherical part of radius R/3 is removed from big sphere as shown in the figure and the gravitational force on m due to remaining part of m is found to be F2. The value of ratio F1: F2 is

<p>12:11 (B)</p> Signup and view all the answers

Two spherical black bodies of the radii 0.2cm and 0.4cm are at temperature 400K and 800K respectively. If the energy radiator by small body is E then energy radiated by large body is

<p>64E (B)</p> Signup and view all the answers

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If young's double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer. Reason R: The speed of light reduces in an optically denser medium than air while its frequency does not change.

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

Find current in the circuit. Jockey is at middle point on 1Ω

<p>1A</p> Signup and view all the answers

Which of the following lanthanide ion as 7 electrons in the outer most shell

<p>Gd+3 (B)</p> Signup and view all the answers

Number of linear compounds ?

<p>4 (A)</p> Signup and view all the answers

Given the weight of the organic compound. 180 g and the weight of the precipitated 143.5 g. Calculate the percentage of Cl in the organic compound ? [wt of Cl = 35.5 g, wt of Ag = 108 g].

<p>19.72% (B)</p> Signup and view all the answers

Electrolysis of which compound give H2S2O8

<p>Electrolysis of Conc.H2SO4 (A)</p> Signup and view all the answers

Flashcards

Capacitance

The ability of a material to store electrical energy by accumulating electric charge. Measured in Farads (F).

Dielectric Constant (k)

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

Extra Charge

The increase in charge stored in a capacitor when a dielectric material is introduced between its plates.

Change in Electrostatic Energy

The energy stored in a capacitor is increased due to the introduction of a dielectric material.

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Moment of Inertia

A measure of an object's resistance to rotational motion about a specific axis.

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De Broglie Wavelength

The de Broglie wavelength of a particle is inversely proportional to its momentum.

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Orbit Radius in Hydrogen Atom

The radius of an electron's orbit in a hydrogen atom is directly proportional to the square of the principal quantum number (n).

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Permeability of Free Space (μ0)

The permeability of free space (μ0) is a fundamental constant in electromagnetism. It represents the ability of vacuum to support the formation of a magnetic field.

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Newton's Law of Universal Gravitation

The force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

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Vernier Caliper

A device used to measure very small lengths, often with a precision of 0.01 mm.

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Vernier Constant

The smallest length that the Vernier Caliper can accurately measure.

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Kinetic Energy

The energy possessed by an object due to its motion.

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Specific Heat Capacity

The amount of heat energy required to raise the temperature of a substance by a certain amount.

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Convex Lens

A lens that converges parallel light rays to a single point, forming a real image.

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Refractive Index

The ratio of the speed of light in a vacuum to the speed of light in the medium.

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Object Distance for Self-Image Formation

The distance between the object and the lens when the image is formed at the same location as the object.

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Electric Force

The force exerted on a charged particle by an electric field.

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Work Function

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

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Photoelectric Effect

A phenomenon where electrons are emitted from a metal surface when light of sufficient energy is incident on it.

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Hertz (Hz)

The fundamental unit of frequency, representing one cycle per second.

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Closed and Open Organ Pipes

A closed organ pipe has one closed end and one open end, while an open organ pipe has both ends open.

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Density Ratio

The ratio of the density of one gas to the density of another gas.

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Gravitational Force

The force of attraction between objects with mass.

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Black Body

A theoretical object that absorbs all incoming radiation and emits radiation at a rate determined by its temperature.

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Stefan-Boltzmann Law

The energy emitted by a black body is proportional to the fourth power of its absolute temperature.

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Young's Double Slit Experiment

A phenomenon where two waves interfere with each other, creating bright and dark fringes.

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Fringe Spacing

The distance between two consecutive bright or dark fringes in Young's Double Slit Experiment.

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Young's Modulus

A measure of the ability of a substance to resist deformation.

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Nucleophilic Substitution

The process of replacing one functional group in a molecule with another.

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SN1 Mechanism

A reaction mechanism where the rate of reaction is independent of the concentration of the nucleophile.

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SN2 Mechanism

A reaction mechanism where the rate of reaction is directly proportional to the concentration of both the substrate and the nucleophile.

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De Broglie Hypothesis

The wave-like behavior of particles, where their wavelength is inversely proportional to their momentum.

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Planck's Constant (h)

A constant that relates the energy of a photon to its frequency.

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Electronegativity

A measure of the tendency of an atom to attract electrons towards itself.

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Electron Affinity

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

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Electrolysis

The process of separating ions in a solution by applying an electric current.

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Concentrated Solution

A solution containing a high concentration of solute.

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Dilute Solution

A solution containing a low concentration of solute.

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Vitamin Acid

An acid that is also a vitamin, essential for the body.

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Stereoisomer

A molecule that can exist in multiple spatial arrangements due to the presence of chiral centers.

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IUPAC Name

The systematic name of a chemical compound, based on established rules.

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Molecular Weight

The number of atoms in a molecule.

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Shape of a Complex

The three-dimensional arrangement of atoms in a molecule.

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Equilibrium

The state of a reaction where the rates of the forward and reverse reactions are equal, and the concentrations of reactants and products remain constant.

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Equilibrium Constant (Kp)

The ratio of the products of the partial pressures of the products to the products of the partial pressures of the reactants, each raised to the power of their stoichiometric coefficients.

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Internal Energy (E)

The total energy of a system, including both internal energy and work.

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Heat (q)

The energy transferred between a system and its surroundings as heat.

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Work (w)

The energy transferred between a system and its surroundings as a result of work done.

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Order

A relationship showing the order of a property for a series of elements.

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Initial Value Problem

The process of finding the solution of a differential equation that satisfies a given condition.

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Equivalence Relation

A set of elements in which each element is related to itself and elements with the same properties are grouped together.

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Geometric Progression (G.P)

A sequence where each term is multiplied by a constant factor to get the next term.

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Sum of a Geometric Progression

The sum of the terms in a finite or infinite geometric progression.

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Angle Made by a Line

The angle made by a line segment with the positive x-axis.

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Domain of a Function

The set of all possible values that a variable can take.

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Range of a Function

The set of all possible output values of a function.

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Discrete Function

A function that is defined by a set of ordered pairs.

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Continuous Function

A function that is defined by a continuous curve.

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Differentiation

The process of finding the derivative of a function.

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Integration

The process of finding the antiderivative of a function.

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Study Notes

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

  • Physics:

    • A parallel plate capacitor (40µF) is connected to a 100V supply. The intermediate space between the plates is filled with a dielectric (k=2). The extra charge and the change in electrostatic energy are 4mC and 0.2J respectively.
    • A uniform circular disc (radius R, mass m) is rotating about an axis perpendicular to its plane through its center. A circular part of radius R/2 is removed. The moment of inertia of the remaining part is 13 mR²/32.
    • An electron in the ground state of hydrogen has a radius of 5.3 × 10⁻¹¹ m. The radius of the electron in the third excited state is 8.48 × 10⁻¹⁰ m. The ratio of the de-Broglie wavelengths in the ground state to the excited state is 4.
  • Physics (additional):

    • Dimensions of μ₀ are [AL⁻¹].
    • solid sphere of mass M and radius R exerts a force F on a point mass. A concentric spherical mass is removed, the new force is 5F/7.
    • Two Statements regarding Vernier calipers:
      • Statement I: One Vernier scale division is smaller than one main scale division.
      • Statement II: Vernier constant = (one main scale division) × (number of Vernier scale divisions). Statement I is true, but Statement II is false.
    • A bob of mass m is suspended by a string of length l. It performs vertical circular motion. Initially given velocity Vo at point A, the string slackens at point D. The ratio of kinetic energies at B and C is 2.
  • Physics (additional)

    • Ice at -10°C is converted to steam at 110°C (10⁻³ kg). The amount of heat required is 900 cal.
    • A thin convex lens with radius of curvature R (refractive index µ). A polished side forms an image on the object for placement on the optic axis, distance required is R/(2μ – 1)
    • An electron entering symmetrically between two parallel charged plates (10 cm long) emerges with a horizontal velocity of 10m/s. The electric field is 9.1V/cm. The vertical component of velocity is 1.6 x 10⁶ m/s.
    • Work function of Cesium (Cs) is 1.9 eV and Lithium (Li) is 2.5 eV. Light with wavelength 550 nm causes photoelectric effect only from Cs.
    • A closed organ tube and an open organ tube with the same bulk modulus but different densities. If frequency of 9th harmonic closed tube = frequency of 4th harmonic open tube, Length of open tube is 15/7 cm.
    • A small point mass m is placed 2R from the center of a uniform solid sphere. If force on m is F1 and a part of radius R/3 is removed, force is F2. The ratio F1:F2 is 12:11.
  • Chemistry:

    • Lanthanide ion with 7 electrons in the outermost shell is Gd⁺³.
    • Number of linear compounds from the list is 4.
    • Percentage of Cl in an organic compound (mass 180 g) precipitating 143.5 g of AgCl is 22.20%.
    • Electrolysis of concentrated sulfuric acid (H₂SO₄) produces H₂S₂O₈.
    • Incorrect statement about radioactive decay is that the decay constant depends on temperature.
    • Increasing boiling point order for given substances is 10⁻⁴ NaCl, 10⁻³ NaCl, 10⁻²NaCl, 10⁻⁴ Urea.
    • IUPAC name for 3-methoxy-5,6-dimethyl-2-hexanoate.
  • Mathematics:

    • Triangle PQR, image of a triangle under x + 2y = 2. Centroid of PQR is (a,β). 15(α – β) = 22.
    • Probability of selecting two black balls from bag with 4 white and 6 black balls is 6/10 x 5/9 = 11.
  • From English alphabet 5 letters are chosen and are alphabetically arranged. The middle letter is M. The number of ways is 5148.

  • Area inside a circle (x-√2)²+y² = 2/3, parabola y²=√2x is 16/11-4π

  • Given a differential equation, x(1)=1 and the solution is x(y)=a/b * e^(-3/2) and is 3 + e⁻³.

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