JEE Mains QFT1 2025 - Physics
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The electric field in a region is given by E = F0x i. The charge contained inside a cubical volume bounded by the surfaces x = 0, x = l, y = 0, y = l, z = 0 and z = 1 is-

  • *ε*0*E*0*l*
  • 2*ε*0*E*0*l*²
  • 6*ε*0*E*0*l*²
  • zero (correct)

    • The molar specific heat of a gas as given from the kinetic theory is ½R. If it is not specified whether it is Cp or Cv, one could conclude that the molecules of the gas

  • Are definitely non-rigid diatomic
  • Are definitely rigid diatomic
  • Can be monoatomic or rigid diatomic (correct)
  • Are definitely monoatomic

    • A particle of mass M is moving in a horizontal circle of radius R with uniform speed V. When the particle moves from one point to a diametrically opposite point, its

  • kinetic energy changes by *MV*²/4
  • momentum changes by 2*MV*
  • momentum does not change (correct)
  • kinetic energy changes by *MV*²

    • Diameter of a steel ball is measured using a Vernier callipers which has divisions of 0.1 cm on its main scale (MS) and 10 divisions of its Vernier scale (VS) match 9 divisions on the main scale. Three such measurement for a ball are given as.

    S. No.       MS (cm)       VS divisions 1.          0.5               8 2.          0.5               4 3.          0.5               6

    If the zero error is -0.03 cm, then mean corrected diameter is.

    <p>0.53 cm (C)</p> Signup and view all the answers

    A solid iron ball and an aluminium ball of same diameter are released together in a lake. Which ball will reach the bottom first. (neglect viscosity and ρAI<ρFe)

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

    The combination of NAND gates shown here under figure, are equivalent to

    <p>an OR gate and an AND gate respectively (D)</p> Signup and view all the answers

    A double star system consists of two stars A and B which have time periods TA and TB, Radius RA and RB and mass MA and MB. Choose the correct option.

    <p>If <em>T</em>A &gt; <em>T</em>B, then <em>R</em>A &gt; <em>R</em>B (D)</p> Signup and view all the answers

    The de Broglie wavelength of an electron moving with a velocity 1.5 × 10⁸ m/s is equal to that of a photon. The ratio of the kinetic energy of the electron to that of the energy of photon is :

    <p>0.5 (A)</p> Signup and view all the answers

    A student is at a distance 16 m from a bus when the bus begins to move with a constant acceleration of 9 m s⁻². The minimum velocity with which the student should run towards the bus so as the catch it is a√2 m s⁻¹. The value of a is

    <p>10 (C)</p> Signup and view all the answers

    An ideal gas is taken from point A to point C on P-V diagram through two process AOC and ABC as shown in the figure. Process AOC is isothermal

    <p>Process AOC requires more heat than process ABC. (A)</p> Signup and view all the answers

    A battery of internal resistance 2 Ω is connected to a variable resistor whose value can vary from 4 Ω to 10 Ω. The resistance is initially set at 4 Ω. If the resistance is now increased then :

    <p>power consumed by it will decrease (D)</p> Signup and view all the answers

    To estimate g from g = 4π²/T², error in measurement of L is ±2% and error in measurement of T is ±3%. The error in estimated g will be

    <p>±8% (D)</p> Signup and view all the answers

    A machine which is 70% efficient raises a 10 kg body through a certain distance and spends 100 J energy. The body is then released. On reaching the ground, the kinetic energy of the body will be

    <p>70 <em>J</em> (A)</p> Signup and view all the answers

    A ray of light is incident at an angle of 45° from air to a glass slab at point A, the angle of incidence being 45°. The minimum value of the refractive index of the material of the slab so that Total Internal Reflection takes place at B is

    <p>√3/2 (D)</p> Signup and view all the answers

    A light beam exerts a force of 4.8 × 10⁻⁴ N on a surface with an area of 0.04 m², which absorbs 80% of the incident light energy and remaining gets transmitted. If the speed of light is 3 × 10⁸ m/s, calculate the light intensity in W/cm²

    <p>300 <em>W/cm</em>² (C)</p> Signup and view all the answers

    There are four light-weight-rod samples A, B, C, D separately suspended by threads. A bar magnet is slowly brought near each sample and the following observations are noted

    (i) A is feebly repelled (ii) B is feebly attracted (iii) C is strongly attracted (iv) D remains unaffected

    Which one of the following is true?

    <p>A is of a non-magnetic material (A)</p> Signup and view all the answers

    A gas satisfies the relation PV⁵/³=K where P is pressure, V is volume and K is constant. The dimensions of constant K are

    <p><em>ML</em>⁴<em>T</em>⁻² (B)</p> Signup and view all the answers

    In a series LR circuit connected to an alternating voltage source, it is observed that at the instant voltage across the source is maximum, voltage across the inductor is 3 V and voltage across the resistance is 4 V. If resistance is 2 Ω, what is reactance (in Ω) of the inductor?

    <p>2√3 (C)</p> Signup and view all the answers

    A wheel of moment of inertia 2.5 Kg-m² has an initial angular velocity of 40 rad s⁻¹. A constant torque of 10 Nm acts on the wheel. The time during which the wheel is accelerated to 60 rad s⁻¹ is

    <p>5 <em>s</em> (A)</p> Signup and view all the answers

    Identify the correct statement(s) from among the following (i) The constancy of the binding energy per nucleon in the range 30 < A < 170 is a consequence of the fact that the nuclear force is short ranged. (ii) The nuclear force does not depend on the charge of nucleons. (iii) The nuclear force is repulsive when distance between two nucleons is less than 0.8 fm

    <p>(i), (ii) (D)</p> Signup and view all the answers

    Flashcards

    Gauss's Law Application

    The process of determining the charge enclosed within a given volume using Gauss's Law.

    Molar Specific Heat

    The specific heat capacity of a gas represents the amount of heat required to raise the temperature of one mole of the gas by one degree Celsius.

    Momentum in Circular Motion

    The momentum of a particle undergoing uniform circular motion remains constant in magnitude but changes direction continuously.

    Vernier Calipers

    Vernier calipers are used for precise measurements by aligning the Vernier scale with the main scale.

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    Density and Buoyancy

    The density of a substance determines how fast it sinks or floats in a fluid.

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    NAND Gate

    A NAND gate is a logic gate with an output of 0 only when both inputs are 1.

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    Binary Star System

    The orbital period of a star in a binary system depends on its mass and orbital radius.

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    de Broglie Wavelength

    The de Broglie wavelength of a particle is inversely proportional to its momentum, implying a relationship between wave and particle nature.

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    Catching a Moving Bus

    A student chasing a bus with constant acceleration needs to run at a minimum velocity to catch it.

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    Isothermal Process

    An isothermal process is one where the temperature remains constant during the process.

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    Power in a Circuit

    The power consumed by a variable resistor in a circuit changes depending on its value relative to the internal resistance of the battery.

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    Error Propagation

    Errors in measurements propagate through calculations, affecting the final result. Error analysis helps in estimating the uncertainty in the calculated value.

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    Efficiency

    Efficiency relates the useful energy output to the total energy input, representing the effectiveness of a system in converting energy.

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    Total Internal Reflection

    Total internal reflection occurs when light traveling from a denser medium to a rarer medium hits the boundary at an angle greater than the critical angle.

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    Light Intensity

    Light intensity is the power of light per unit area.

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    Paramagnetism and Diamagnetism

    Paramagnetic materials are weakly attracted to a magnetic field, while diamagnetic materials are weakly repelled.

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    Dimensions of Physical Quantities

    The dimensions of a physical quantity describe its fundamental nature, like length, mass, and time.

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    LR Circuit

    In an LR circuit, the voltage across the inductor and resistor changes with time, depending on the inductance and resistance.

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    Torque and Angular Acceleration

    Torque applied to a rotating object causes angular acceleration, changing its rotational motion.

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    Binding Energy per Nucleon

    The binding energy per nucleon in a nucleus is a measure of its stability, with higher binding energy indicating greater stability.

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    Open and Closed Pipes

    The length of an open pipe is twice the length of a closed pipe for the same fundamental frequency.

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    Friction

    Friction opposes the motion of an object, converting kinetic energy into heat.

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    de Broglie Wavelength and Momentum

    The de Broglie wavelength of a particle is related to its momentum and is a manifestation of wave-particle duality.

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    Joule Heating in a Coil

    The power dissipated in a coil due to its resistance in a magnetic field depends on the coil's properties and the external field.

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    Total Energy of a Spring-Mass System

    The total initial energy of a spring-mass system is the sum of its potential energy and kinetic energy.

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    Disaccharides and Tollen's Reagent

    Disaccharides are sugars composed of two monosaccharide units, and some can reduce Tollen's reagent due to their free anomeric carbon.

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    Aromatic Compounds

    Aromatic compounds exhibit special stability due to the delocalization of electrons in their ring structures.

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    Coordination Number in Complex Ions

    Coordination number refers to the number of ligands directly attached to a central metal atom in a complex ion.

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    Gibbs Free Energy Change in Electrochemistry

    The standard cell potential and concentrations of ions in a galvanic cell influence the Gibbs free energy change for the overall reaction.

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    Periodic Trends

    Periodic trends like ionization enthalpy, electron gain enthalpy, atomic radius, and electronegativity vary across the periodic table.

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    Disproportionation Reactions

    Disproportionation reactions involve the simultaneous oxidation and reduction of the same element in a single reaction.

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    Reactivity in S N 1 Reactions

    The reactivity of halides in S N 1 reactions is influenced by factors like carbocation stability, which depends on the structure of the halide.

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    VSEPR Theory

    VSEPR theory predicts the geometry of molecules based on the repulsion between electron pairs around the central atom.

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    Normality of Acid Solutions

    The normality of an acid solution is the number of gram equivalents of acid present per liter of solution.

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    Borax Bead Test

    Borax bead tests utilize the color changes of metal ions in the presence of borax to identify the metal.

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    Equilibrium Constants

    Equilibrium constants for reversible reactions indicate the relative amounts of reactants and products at equilibrium.

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    Paramagnetism in Coordination Complexes

    Coordination complex ions exhibit paramagnetism if they have unpaired electrons in their d orbitals.

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    Degree of Dissociation of Acid

    The degree of dissociation of an acid in solution represents the fraction of acid molecules that ionize into ions.

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    Nitrous Acid with Amines

    The reaction of nitrous acid with amines produces different products depending on the structure of the amine.

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    Order of Reaction

    The order of a reaction describes how the rate of the reaction is influenced by the concentration of reactants.

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    Oxidation of Thiosulfate Anions

    The oxidation of thiosulfate anions by permanganate anions produces a sulphur-containing product in a specific stoichiometric ratio.

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    Electron Occupancy of Sub-shells

    The number of electrons that can be present in sub-shells depends on the value of the magnetic spin quantum number (m s) and the principal quantum number (n).

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    Cross Product of Vectors

    The cross product of two vectors is another vector perpendicular to both original vectors.

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    Centroid of a Triangle

    The centroid of a triangle is the point of intersection of its medians, dividing each median in a 2:1 ratio.

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    Sum of Roots of a Polynomial

    The sum of the roots of a polynomial equation can be determined from its coefficients.

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    Shortest Distance Between Skew Lines

    The shortest distance between two skew lines is the length of the perpendicular line segment connecting them.

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    Limits

    Limits are used to evaluate functions as their input approaches a specific value, including cases where the function is undefined at that value.

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    Indefinite Integrals

    Indefinite integrals represent a family of functions whose derivative is the integrand.

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    Trigonometric Identities

    Trigonometric identities are used to simplify and manipulate trigonometric expressions.

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    Probability

    Probability calculations involve determining the likelihood of specific outcomes in a given scenario.

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    Differential Equations

    Differential equations describe the relationship between a function and its derivatives.

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    Arithmetic, Geometric, and Harmonic Progressions

    Arithmetic, geometric, and harmonic progressions are sequences of numbers following specific patterns based on addition, multiplication, or reciprocals, respectively.

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    Functions

    Functions are mathematical relationships that map input values to output values.

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    Matrices

    Matrices are rectangular arrays of numbers, and their operations involve manipulating these arrays according to specific rules.

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    Eigenvalues and Eigenvectors

    Eigenvalues and eigenvectors are special quantities related to linear transformations that describe how a transformation scales and rotates vectors.

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    Study Notes

    JEE Mains QFT1 2025 - Physics

    • Question 1: The electric field in a region is given by E = F0 x i. The charge enclosed within a cube defined by x = 0, x = l, y = 0, y = l, z = 0, and z = l is zero.

    • Question 2: The molar specific heat of a gas, given as R from kinetic theory, implies the molecules could be monoatomic or rigid diatomic. If Cp or Cv isn't specified.

    • Question 3: A particle of mass M moving in a horizontal circle of radius R with velocity V, experiences no change in momentum when moving from one point to its diametrically opposite point. Its kinetic energy changes by zero.

    • Question 4: A steel ball's diameter is measured using a Vernier caliper with main scale divisions of 0.1 cm and a Vernier scale with 10 divisions matching 9 on the main scale. Three measurements are given (S. No., MS (cm), VS divisions). The zero error is -0.03 cm. Calculate the mean corrected diameter.

    • Question 5: An iron ball and an aluminum ball of the same diameter are released together in a lake, they reach the bottom simultaneously.

    • Question 6: A combination of NAND gates is equivalent to an OR gate and an AND gate.

    • Question 7: A double star system with time periods TA and TB, and radii RA and RB, and masses MA and MB. If TA > TB, then RA > RB and MA > MB (or vice-versa).

    • Question 8: The de Broglie wavelength of an electron with a given velocity equals that of a photon, and the given ratio is 1.

    • Question 9: A student is 16 m from a bus with acceleration 9 m/s². The minimum velocity needed for the student to catch the bus is a√2 m/s. The value of a is 12 m/s

    • Question 10: An ideal gas undergoes two processes, AOC and ABC. Process AOC is isothermal. Process AOC requires more heat than ABC.

    • Question 11: A battery with internal resistance 2Ω is connected to a variable resistor. If the resistance increases, the power consumed by it will increase.

    • Question 12: Errors in estimating g from g = 4π²(L/T²) are ±2% in measuring L and ±3% in T. The error in estimated g will be ±5%.

    • Question 13: A machine with 70% efficiency raises a 10 kg object through a certain distance and uses 100 J of energy. The kinetic energy of the body on reaching the ground is 50 J.

    • Question 14: A ray of light with an angle of 45° strikes a glass slab at point A. The minimum refractive index of the material of the slab required for total internal reflection at B is the value for which the angle at the slab exceeds 45°.

    • Question 15: A light beam with a given force, area, and absorption percentage exerts a given intensity in W/cm2

    • Question 16: Given four rod samples. Observing how a bar magnet affects each one. Determine which sample is constructed of which material(ferromagnetic, diamagnetic, etc).

    • Question 17: A gas follows the relation PV5/3 = K. The dimensions of constant k are ML2T-2

    • Question 18: A series LR circuit is connected to an alternating voltage source. Determine the reactance when voltage across the inductor is 3V and across the resistance is 4V and resistance is 2 Ω.

    • Question 19: A wheel with moment of inertia 2.5 Kg-m² and initial angular velocity 40 rad/s is accelerated to 60 rad/s by a constant torque of 10 Nm. Calculate the time taken.

    • Question 20: The constancy of binding energy per nucleon in a range of mass numbers (30 < A < 170) is explained by the short range nature of the nuclear force.

    JEE Mains QFT1 2025 - Chemistry

    • Question 1: Disaccharides that do not reduce Tollen's reagent won't have free aldehyde or ketone groups.

    • Question 2: Statement I: Compound with -OH on aromatic ring undergoes dehydration more easily. Statement II: Compound is not aromatic.

    • Question 3: In the complex MC13 · 4H2O, coordination number is 6 with no water of hydration. Calculate AgNO3 volume needed to precipitate chloride ions in 200 ml of 0.01M solution.

    • Question 4: For the cell Zn (s) | ZnSO4 (aq) || CuSO4 (aq) | Cu (s) where Zn2+ is 10 times Cu2+, and other given conditions, find ΔG.

    • Question 5: Given a battery of internal resistance and variable external resistance, find the conditions of increasing or decreasing power consumption.

    • Question 6: Determine which reaction is not a disproportionation reaction from the given choices.

    • Question 7: Identify correct statements about the properties of various ions and substances.

    • Question 8: Determine the reactivity order of halides in solvolysis. Consider structure and mechanisms.

    • Question 9: Match molecules with their respective shapes.

    • Question 10: Determine the structure of C6H12O compound

    • Question 11: Define a chemical reaction for the oxidation and reduction of a given compound

    • Question 12: Determine the green complex ion of nickel in its aqueous solution.

    • Question 13: Match the given substances/acids to their respective properties.

    • Question 14: Determine if the assertion (SiF₆ formation) and reason (Electronegativity) are both true, and if the reason correctly explains the assertion.

    • Question 15: Identify the structure of a compound with given molecular formula and reaction conditions that produces an alkene and has positive iodoform test.

    • Question 16: Trimethylammonia is pyramidal while trisilylammonia is planar. Explain why.

    • Question 17: Determine the normality of HCl produced from a complex when 1 g of a complex is passed through a cation exchanger.

    • Question 18: Determine the compound that gives blue color in borax bead test when Co²⁺ is added.

    • Question 19: Calculate the equilibrium constant for the reaction involving SO2, O2, and SO3

    • Question 20: Determine the number of inner orbital complexes with paramagnetic properties among a list of complexes.

    JEE Mains QFT1 2025 - Mathematics

    • (Note: Mathematical problems require specific calculation and data sets not readily extractable from the provided OCR.)*

    • Question 1: The electric field in the region is given by E = F0x i. The charge contained inside a cubical volume bounded by the surfaces x = 0, x = l, y = 0, y = l, z = 0, and z = l is zero

    • Question 2: A student is 16 m from a bus with acceleration 9 m/s². The minimum velocity needed for the student to catch the bus is a√2 m/s. The value of a is 12 m/s

    • Question 3: If two lines in space are given, and their shortest distance is calculated, find the value.

    • Question 4: Evaluate a limit

    • Question 5: Evaluate an indefinite integral

    • Question 6: Find the area bounded by given curves.

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    JEE Mains QFT1 2025 PDF

    Description

    Test your knowledge of advanced physics concepts with this JEE Mains QFT1 2025 quiz. Covering topics like electric fields, kinetic theory, and measurements with Vernier calipers, this quiz challenges your understanding of core principles in physics. Prepare for your exams by tackling these important questions!

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