Major Competitive Exams

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Q. A particle moves in a straight line with a constant velocity. What is the angular momentum of the particle about a point not on the line of motion?
  • A. Zero
  • B. Depends on the distance from the point
  • C. Infinite
  • D. Constant
Q. A particle moves in a straight line with a velocity v. What is its angular momentum about a point P located at a distance d from the line of motion?
  • A. mv
  • B. mvd
  • C. mdv
  • D. 0
Q. A particle moves in a straight line with an acceleration of 2 m/s². If its initial velocity is 3 m/s, what will be its velocity after 5 seconds?
  • A. 10 m/s
  • B. 13 m/s
  • C. 15 m/s
  • D. 20 m/s
Q. A particle moves in a straight line with an acceleration of 4 m/s². If its initial velocity is 2 m/s, what will be its velocity after 5 seconds?
  • A. 22 m/s
  • B. 20 m/s
  • C. 18 m/s
  • D. 16 m/s
Q. A particle moves in a straight line with an initial velocity of 10 m/s and accelerates at 2 m/s². What will be its velocity after 5 seconds?
  • A. 20 m/s
  • B. 30 m/s
  • C. 40 m/s
  • D. 50 m/s
Q. A particle of mass m is located at a distance r from the axis of rotation. What is the moment of inertia of this particle about the axis?
  • A. mr
  • B. mr^2
  • C. m/r
  • D. m/r^2
Q. A particle of mass m is located at a distance r from the axis of rotation. What is the moment of inertia of this particle?
  • A. mr
  • B. mr^2
  • C. m/r
  • D. m/r^2
Q. A particle of mass m is moving in a circular path of radius r with a constant speed v. What is the angular momentum of the particle about the center of the circle?
  • A. mv
  • B. mvr
  • C. mr^2
  • D. mv^2
Q. A particle with charge q moves with velocity v in a magnetic field B. What is the expression for the magnetic force acting on the particle?
  • A. F = qvB
  • B. F = qvB sin(θ)
  • C. F = qB
  • D. F = qvB cos(θ)
Q. A password consists of 3 letters followed by 2 digits. How many different passwords can be formed if letters can be repeated but digits cannot? (2000)
  • A. 17576
  • B. 15600
  • C. 13000
  • D. 12000
Q. A pendulum completes 20 oscillations in 40 seconds. What is its frequency? (2022)
  • A. 0.5 Hz
  • B. 1 Hz
  • C. 2 Hz
  • D. 4 Hz
Q. A pendulum has a length of 1 m. What is its time period? (2023)
  • A. 2 s
  • B. 1 s
  • C. 0.5 s
  • D. 0.25 s
Q. A pendulum is measured to have a length of 2.0 m with an uncertainty of ±0.1 m. What is the relative uncertainty in the length?
  • A. 5%
  • B. 10%
  • C. 2.5%
  • D. 1%
Q. A pendulum of length 1 m swings with a small amplitude. What is its approximate time period? (2023)
  • A. 1 s
  • B. 2 s
  • C. 0.5 s
  • D. 0.25 s
Q. A pendulum of length 2 m swings from a height of 1 m. What is the speed at the lowest point of the swing? (g = 9.8 m/s²)
  • A. 4.4 m/s
  • B. 3.1 m/s
  • C. 2.8 m/s
  • D. 5.0 m/s
Q. A pendulum swings back and forth with a period of 1 second. If the length of the pendulum is doubled, what will be the new period?
  • A. 1 s
  • B. 1.41 s
  • C. 2 s
  • D. 4 s
Q. A pendulum swings back and forth. At which point is its potential energy maximum?
  • A. At the lowest point
  • B. At the highest point
  • C. At the midpoint
  • D. At all points
Q. A pendulum swings from a height of 2 m. What is the speed at the lowest point of the swing?
  • A. 2 m/s
  • B. 4 m/s
  • C. 6 m/s
  • D. 8 m/s
Q. A pendulum swings from a height of 5 m. What is the speed at the lowest point of the swing?
  • A. 5 m/s
  • B. 10 m/s
  • C. 15 m/s
  • D. 20 m/s
Q. A pendulum swings to and fro. If the length of the pendulum is 1 m, what is the time period of the pendulum? (Take g = 10 m/s²)
  • A. 1 s
  • B. 2 s
  • C. 3 s
  • D. 4 s
Q. A pendulum swings to and fro. If the length of the pendulum is 2 m, what is the time period of the pendulum? (Take g = 10 m/s²)
  • A. 1.4 s
  • B. 2.0 s
  • C. 1.0 s
  • D. 3.0 s
Q. A pendulum swings with a maximum angle of 15 degrees. What is the approximate frequency of the pendulum if its length is 1 m? (2020)
  • A. 0.5 Hz
  • B. 1 Hz
  • C. 1.5 Hz
  • D. 2 Hz
Q. A pendulum swings with a maximum angle of 30 degrees. What is the approximate period of the pendulum if its length is 1 m?
  • A. 1.0 s
  • B. 1.5 s
  • C. 2.0 s
  • D. 2.5 s
Q. A pendulum swings with a maximum angle of 30 degrees. What is the approximate time period for small angles? (2022)
  • A. 1.0 s
  • B. 0.5 s
  • C. 2.0 s
  • D. 0.25 s
Q. A pendulum swings with a period of 1 second. If the length of the pendulum is doubled, what will be the new period?
  • A. 1 s
  • B. 1.41 s
  • C. 2 s
  • D. 4 s
Q. A pendulum swings with a period of 1 second. If the length of the pendulum is increased by a factor of 4, what will be the new period?
  • A. 1 s
  • B. 2 s
  • C. 4 s
  • D. √4 s
Q. A pendulum swings with a period of 1 second. If the length of the pendulum is increased to four times its original length, what will be the new period?
  • A. 1 s
  • B. 2 s
  • C. 4 s
  • D. √4 s
Q. A pendulum swings with a period of 1 second. If the length of the pendulum is tripled, what will be the new period?
  • A. 1 s
  • B. 2 s
  • C. 3 s
  • D. √3 s
Q. A pendulum swings with a period of 1 second. What is the length of the pendulum?
  • A. 0.25 m
  • B. 0.5 m
  • C. 1 m
  • D. 2 m
Q. A pendulum swings with a period of 1.5 seconds. What is the angular frequency of the pendulum?
  • A. 2π/1.5 rad/s
  • B. 4π/3 rad/s
  • C. π/1.5 rad/s
  • D. 3π/2 rad/s
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