JEE Main 2024 - FIITJEE Full Test-I
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Questions and Answers

What is the initial force acting on the particle at rest at the origin?

  • 0 Newtons (correct)
  • 12 Newtons
  • 10 Newtons
  • None of the above

    • An α-particle accelerated by 104V does not change its direction when entering a magnetic field.

    False

    What is the density of water used in the calculation of height rise in the capillary?

    1 gm/cc

    The thickness of the region where the α-particle enters is _____ m.

    <p>0.1</p> Signup and view all the answers

    Match the following components to their respective values or properties:

    <p>Force F = (12 - 2t) = Variable dependent on time Change in angle for α-particle = Degree of motion change Height of water rise = Determined by capillary action Potential Difference = 104V</p> Signup and view all the answers

    How does the source EMF behave when switch S is at position 1?

    <p>Leads current by π/6</p> Signup and view all the answers

    What is the change in direction (in degrees) of motion for the α-particle?

    <p>To be calculated based on specifications.</p> Signup and view all the answers

    The water will rise higher in the capillary due to the larger diameter of the glass rod.

    <p>False</p> Signup and view all the answers

    What expression represents the potential energy of a body in a conservative force field?

    <p>U = αx - βy</p> Signup and view all the answers

    A small ball falling at a constant velocity will accelerate when it strikes another object.

    <p>False</p> Signup and view all the answers

    What is the velocity of the small ball before it strikes the inclined cart?

    <p>4 m/s</p> Signup and view all the answers

    During the elastic collision, the speed of rebound of the small ball will be __________.

    <p>4 m/s</p> Signup and view all the answers

    If the cylindrical drum rolls forward without slipping when pushed by the board, what distance does the man move on the ground?

    <p>3λ</p> Signup and view all the answers

    Match the following expressions with their correct variables:

    <p>Potential Energy = αx - βy Acceleration of the body = m(α² - β²) Velocity of the small ball = 4 m/s Distance moved by the man = 3λ</p> Signup and view all the answers

    The distance moved by the drum is equal to half the distance moved by the man on the ground.

    <p>False</p> Signup and view all the answers

    What is the approximate rebound speed of the ball after colliding with the inclined cart?

    <p>4 m/s</p> Signup and view all the answers

    If a positive charged particle collides inelastically at point Q with a coefficient of restitution of e = 1/2, where will the particle likely strike next?

    <p>Strikes at point M</p> Signup and view all the answers

    The speed of sound is assumed to be 340 m/s in all conditions.

    <p>False</p> Signup and view all the answers

    What is the minimum height of water required for resonance in a cylindrical tube if the frequency is 340 Hz?

    <p>25 cm</p> Signup and view all the answers

    The charge flowing to earth when three plates have initial charges Q, 2Q, and 4Q is __________.

    <p>3Q</p> Signup and view all the answers

    Match the following terms with the correct description:

    <p>Coefficient of restitution = Ratio of relative velocities after and before the collision Frequency = Number of oscillations per unit time Resonance = Amplification of sound in a medium Charge neutrality = Condition of having equal positive and negative charges</p> Signup and view all the answers

    Which of the following statements about the coefficient of restitution for the particle is correct?

    <p>It determines how high the particle will bounce back after the collision.</p> Signup and view all the answers

    The frequency of the tuning fork must match the natural frequency of the air column in the tube for resonance to occur.

    <p>True</p> Signup and view all the answers

    The cylindrical tube is __________ cm long.

    <p>120</p> Signup and view all the answers

    What is the resistance per unit length of the rods?

    <p>0.5 Ω/m</p> Signup and view all the answers

    The rods are arranged in a triangular formation.

    <p>False</p> Signup and view all the answers

    What is the velocity at which the rods start moving?

    <p>5 m/s</p> Signup and view all the answers

    The voltage drop across the capacitor is _____ times the voltage drop across the inductor.

    <p>5</p> Signup and view all the answers

    Match the following thermal properties with their respective values:

    <p>Latent heat of evaporation of water = 540 cal/g Latent heat of melting of ice = 80 cal/g Length of the rod AB = 10x Distance from ice end A to point P = λx</p> Signup and view all the answers

    At what height does the center of mass of the two bodies reach when one is projected upwards?

    <p>kλ</p> Signup and view all the answers

    The impendence of the circuit is directly related to its voltage drop.

    <p>True</p> Signup and view all the answers

    What is the impedance of the circuit if the power factor is 0.8 and L is 5 henry?

    <p>To be calculated (use provided values)</p> Signup and view all the answers

    The surface charge density $ heta$ of the sheet is proportional to which of the following?

    <p>cos $ heta$</p> Signup and view all the answers

    What is the ratio of the circumference of the first Bohr orbit for the electron in the hydrogen atom to the de-Broglie wavelength of electrons with the same velocity?

    <p>1 : 4</p> Signup and view all the answers

    A glass prism with a refractive index of 1.5 can be totally reflective in water.

    <p>True</p> Signup and view all the answers

    The refractive index $ ext{n}$ of a glass prism is ______.

    <p>1.5</p> Signup and view all the answers

    What happens when a light beam hits the face AB of a prism normally?

    <p>It refracts into the prism.</p> Signup and view all the answers

    Match the following refractive indices with the corresponding medium:

    <p>Air = 1 Glass = 1.5 Water = 4/3 Diamond = 2.42</p> Signup and view all the answers

    What is the correct electronic configuration of Mn, Fe, and Co metal ion in the complexes, respectively?

    <p>t2g eg0, t32g eg2, t2g4 eg2</p> Signup and view all the answers

    When light is incident on face BC of a glass prism, what is the condition for total internal reflection?

    <p>sin $ heta ext{ ≥ } rac{8}{9}$</p> Signup and view all the answers

    The complementary strand for a given single strand of DNA can be determined using base-pairing rules.

    <p>True</p> Signup and view all the answers

    The sine condition for total reflection at the interface is independent of the refractive indices.

    <p>False</p> Signup and view all the answers

    What is the correct order of pKa for the following compounds?

    <p>II &gt; I &gt; IV &gt; III</p> Signup and view all the answers

    The rate constant values for the decay of radioisotopes X and Y are __________ h–1.

    <p>0.05 and 0.025</p> Signup and view all the answers

    At what time will the activities of radioisotopes X and Y be approximately equal?

    <p>twice the half-life of Y</p> Signup and view all the answers

    What is the minimum pressure required for desalinating sea water containing 1 M NaCl at 300 K?

    <p>24.94</p> Signup and view all the answers

    Match the substances with their corresponding categories:

    <p>NaCl = Salt Water = Solvent X = Radioisotope DNA = Genetic material</p> Signup and view all the answers

    All isotopes of the same element have the same half-life.

    <p>False</p> Signup and view all the answers

    Study Notes

    JEE Main 2024 - FIITJEE Full Test-I - Important Details

    • Test Date: 28-12-2023
    • Time Allotted: 3 hours
    • Maximum Marks: 300
    • Total Questions: 90
    • Subjects: Physics (30 questions), Chemistry (30 questions), Mathematics (30 questions)
    • Question Types: Multiple Choice (Section A), Numerical Answer Type (Section B)
    • Marking Scheme:
      • Correct Multiple Choice Answer: +4 marks
      • Incorrect Multiple Choice Answer: -1 mark
      • Correct Numerical Answer: +4 marks
      • Incorrect Numerical Answer: -1 mark
    • Sections:
      • Part A (Physics, Chemistry, Mathematics):
        • Section A (01-20, 31-50, 61-80): 60 Multiple Choice Questions
        • Section B (21-30, 51-60, 81-90): 30 Numerical Questions
    • Instructions:
      • Attempt all questions in Section A
      • Select any 5 questions from Section B

    JEE Main 2024 - FIITJEE Full Test-I - Question Details (Pages 2-15)

    • Detailed questions in Physics, Chemistry and Mathematics (pages 2-15)

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    FIITJEE JEE (Main) 2024 Past Paper - PDF

    Description

    Prepare for the JEE Main 2024 with the FIITJEE Full Test-I. This test covers important topics in Physics, Chemistry, and Mathematics, featuring a mix of multiple choice and numerical answer questions. Ensure you're ready for the exam on December 28, 2023, with detailed insights into the marking scheme and question types.

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