AYJR 2024 (April) - Evening Shift JEE Readiness Questions
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Questions and Answers

A soap bubble of diameter D breaks into 27 smaller drops. What is the change in the surface energy of the system?

  • 8πTD^2
  • 4πTD^2 (correct)
  • 2πTD^2
  • πTD^2

    • What is the rms speed of hydrogen at room temperature, given that the rms speed of oxygen at the same temperature is about 500 m/s?

  • 500 m/s
  • 2000 m/s
  • 125 m/s (correct)
  • 8000 m/s

    • A monochromatic linear light source is placed at a distance r from a small metal plate. If the source is moved closer to the plate by a distance r/3, how do the rate of electron emission and the maximum kinetic energy of the photoelectrons change?

  • The rate of emission increases by a factor of 3, and the maximum kinetic energy remains the same. (correct)
  • The rate of emission increases by a factor of 3, and the maximum kinetic energy decreases by a factor of 3.
  • The rate of emission increases by a factor of 9, and the maximum kinetic energy remains the same.
  • The rate of emission increases by a factor of 3, and the maximum kinetic energy increases by a factor of 3.

    • What are the respective numbers of significant figures for the numbers 46.035, 0.0007, and 4.1 × 10^-3?

    <p>5, 1, 2</p> Signup and view all the answers

    A conducting hollow spherical shell has an inner radius of a and an outer radius of b, and carries a net charge of Q. What is the electric potential inside the shell?

    <p>Zero, as the electric field inside the shell is zero.</p> Signup and view all the answers

    What is the electric potential at a point outside the conducting hollow spherical shell?

    <p>Varies inversely with the distance from the center of the shell</p> Signup and view all the answers

    What is the current flowing through the battery in the infinite network shown in the figure?

    <p>10 A</p> Signup and view all the answers

    What is the root mean square (rms) value of the electric field at a distance r from a source of electromagnetic wave of power P?

    <p>$\frac{P}{2 \pi r c \varepsilon}$</p> Signup and view all the answers

    In the scenario of a solid sphere rolling purely on a rough horizontal surface under a horizontal force F at the top, what is the acceleration of the centre of mass of the sphere?

    <p>$40g$</p> Signup and view all the answers

    In the circuit diagram shown, what happens when the tap key K is pressed at time t = 0?

    <p>At time t = ∞, current delivered by battery is 2 mA</p> Signup and view all the answers

    What is the initial state of a 2 kg block placed on a horizontal frictionless surface?

    <p>Stationary with respect to the surface</p> Signup and view all the answers

    True or False: In the given information, the statement 'a1 > a2 > a3' is valid.

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

    What is the number of chiral centers in compound A?

    <p>61</p> Signup and view all the answers

    If set P consists of m consecutive integers with a sum of $2m$, and set Q consists of $2m$ consecutive integers with a sum of $m$, then the difference between the greatest element of set P and set Q is 1009. What is the value of m?

    <p>2021</p> Signup and view all the answers

    Study Notes

    Electric Circuits and Networks

    • The current flowing through a battery connected with an infinite network is 4 A.
    • The rms value of electric field at a distance r from a source of electromagnetic wave of power P is √(P/2πr cε).

    Rotational Motion and Rigid Body Dynamics

    • The acceleration of the centre of mass of a solid sphere of mass m and radius R placed on a rough horizontal surface is 40g/7.

    Electric Circuits and Networks

    • When the tap key K is pressed at time t = 0 in a circuit, the current delivered by the battery is 4 mA and the charge on the capacitor is 6μC.
    • At time t = ∞, the current delivered by the battery is 2 mA and the charge on the capacitor is 12μC.

    Mechanics and Kinematics

    • A block of mass 2 kg is initially at rest on a horizontal frictionless surface.

    Thermodynamics

    • The rms speed of oxygen at room temperature is about 500 m/s.
    • The rms speed of hydrogen at the same temperature is about 2000 m/s.

    Surface Tension and Viscosity

    • One drop of soap bubble of diameter D breaks into 27 drops, resulting in a change in surface energy of 2πT D^2.

    Photoelectric Effect

    • The rate of emission and maximum kinetic energy of photoelectron are proportional to 1/r^3 and K, respectively.

    Significant Figures and Measurement

    • The respective number of significant figures for the numbers 46.035, 0.0007, and 4.1 × 10^−3 are 5, 1, and 2.

    Electrostatics

    • A conducting hollow spherical shell having an inner radius a and outer radius b carries a net charge Q.

    Organic Chemistry

    • The number of chiral centre in compound A is 4.

    Algebra and Combinatorics

    • The difference between the greatest element of set P and set Q is 1009, where set P consists of m consecutive integers whose sum is 2m, and set Q consists of 2m consecutive integers whose sum is m.

    Trigonometry

    • If sin x = sin y, cos x cos y = 3/2, where x, y ∈ (0, π/2), then the value of tan(x + y) is equal to √17.

    Statistics and Probability

    • Let a1, a2, …, a101 be a group of real numbers such that the deviation of the group is minimum about the number 'a', then the mode of the group will be a51.

    Calculus

    • If f is a continuous and differentiable function such that ∫(x-1) f(t)dt + f(1) = ∫(x^3) t dt - f(1) ∫(x^2) t dt + f'''(2) ∫(3x) t dt, then the value of f'(4) is 48 - 8f'''(2).

    Relations and Functions

    • Let r be a relation from R (Set of real number) to R defined by r = {(x, y) | x, y ∈ R and xy is an irrational number}, then relation r is symmetric only.

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    Description

    Test your readiness for the Joint Entrance Examination (JEE) with these practice questions from MathonGo. Questions cover topics such as RMS speed, surface tension, and monochromatic linear sources of light.

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