Major Competitive Exams

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Q. The force experienced by a charged particle moving in a magnetic field is maximum when the angle between the velocity and magnetic field is: (2020)
  • A. 0 degrees
  • B. 90 degrees
  • C. 180 degrees
  • D. 45 degrees
Q. The force on a charged particle in a magnetic field is maximum when the angle between the velocity and the magnetic field is: (2021)
  • A. 0 degrees
  • B. 90 degrees
  • C. 180 degrees
  • D. 45 degrees
Q. The force on a charged particle moving in a magnetic field is given by which law? (2021)
  • A. Coulomb's Law
  • B. Lorentz Force Law
  • C. Faraday's Law
  • D. Ampere's Law
Q. The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and magnetic field is: (2021)
  • A. 0 degrees
  • B. 90 degrees
  • C. 180 degrees
  • D. 45 degrees
Q. The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and the magnetic field is: (2021)
  • A. 0 degrees
  • B. 90 degrees
  • C. 180 degrees
  • D. 45 degrees
Q. The force on a charged particle moving in a magnetic field is maximum when: (2021)
  • A. The particle moves parallel to the field
  • B. The particle moves perpendicular to the field
  • C. The particle is at rest
  • D. The particle moves in a circular path
Q. The force that opposes the motion of an object through a fluid is called _____. (2020)
  • A. Friction
  • B. Drag
  • C. Lift
  • D. Thrust
Q. The forward bias condition in a diode occurs when: (2020)
  • A. Anode is at a higher potential than cathode
  • B. Cathode is at a higher potential than anode
  • C. Both terminals are at the same potential
  • D. None of the above
Q. The frequency of a simple harmonic oscillator is 5 Hz. What is its angular frequency? (2020)
  • A. 10 rad/s
  • B. 5 rad/s
  • C. 15 rad/s
  • D. 20 rad/s
Q. The frequency of a tuning fork is 440 Hz. What is the time period of the fork? (2019)
  • A. 0.00227 s
  • B. 0.0045 s
  • C. 0.01 s
  • D. 0.005 s
Q. The frequency of a tuning fork is 440 Hz. What is the time period of the sound wave produced? (2022)
  • A. 0.00227 s
  • B. 0.0045 s
  • C. 0.01 s
  • D. 0.005 s
Q. The frequency of a wave is 10 Hz. What is the frequency of its second harmonic? (2021)
  • A. 5 Hz
  • B. 10 Hz
  • C. 20 Hz
  • D. 30 Hz
Q. The frequency of a wave is doubled. How does this affect its wavelength if the speed of the wave remains constant? (2022)
  • A. Wavelength doubles
  • B. Wavelength halves
  • C. Wavelength remains the same
  • D. Wavelength quadruples
Q. The frescoes of the Sistine Chapel, painted by Michelangelo, primarily depict which biblical event?
  • A. The Creation of Adam
  • B. The Last Supper
  • C. The Crucifixion
  • D. The Nativity
Q. The Freundlich adsorption isotherm is applicable to which type of adsorption?
  • A. Physisorption only
  • B. Chemisorption only
  • C. Both physisorption and chemisorption
  • D. None of the above
Q. The Freundlich adsorption isotherm is best described by which equation? (2023)
  • A. x/m = kP
  • B. x/m = kP^(1/n)
  • C. P = k(x/m)
  • D. P = k(x/m)^(1/n)
Q. The function f(x) = 1/(x-1) is continuous on which of the following intervals?
  • A. (-∞, 1)
  • B. (1, ∞)
  • C. (-∞, ∞)
  • D. (-∞, 0)
Q. The function f(x) = e^x is differentiable at all points?
  • A. True
  • B. False
  • C. Only at x = 0
  • D. Only at x = 1
Q. The function f(x) = ln(x) + x has a minimum at:
  • A. x = 1
  • B. x = 0
  • C. x = e
  • D. x = 2
Q. The function f(x) = ln(x) is differentiable at x = 1?
  • A. Yes
  • B. No
  • C. Only for x > 1
  • D. Only for x < 1
Q. The function f(x) = sqrt(x) is differentiable at x = 0?
  • A. Yes
  • B. No
  • C. Only from the right
  • D. Only from the left
Q. The function f(x) = x^2 + 2x + 1 is differentiable everywhere?
  • A. True
  • B. False
  • C. Only at x = 0
  • D. Only for x > 0
Q. The function f(x) = x^2 - 2x + 1 is differentiable at all points?
  • A. True
  • B. False
  • C. Only at x = 0
  • D. Only for x > 0
Q. The function f(x) = x^2 - 2x + 1 is differentiable at x = 2?
  • A. Yes
  • B. No
  • C. Only left
  • D. Only right
Q. The function f(x) = x^2 - 4 is:
  • A. Always increasing
  • B. Always decreasing
  • C. Neither increasing nor decreasing
  • D. Both increasing and decreasing
Q. The function f(x) = x^2 - 4x + 4 can be expressed in which form?
  • A. (x - 2)^2
  • B. (x + 2)^2
  • C. (x - 4)^2
  • D. (x + 4)^2
Q. The function f(x) = x^2 - 4x + 4 is differentiable at x = 2?
  • A. Yes
  • B. No
  • C. Only left
  • D. Only right
Q. The function f(x) = x^2 - 4x + 4 is differentiable everywhere?
  • A. True
  • B. False
  • C. Only at x = 0
  • D. Only at x = 2
Q. The function f(x) = x^2 for x < 1 and f(x) = 2x - 1 for x ≥ 1 is differentiable at x = 1?
  • A. Yes
  • B. No
  • C. Only continuous
  • D. Only from the left
Q. The function f(x) = x^2 sin(1/x) for x ≠ 0 and f(0) = 0 is differentiable at x = 0. True or False?
  • A. True
  • B. False
  • C. Depends on x
  • D. Not enough information
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