Energy in simple harmonic motion, kinetic and potential energies, simple pendulum and its time period - One Line Questions

1. The maximum kinetic energy of a particle in SHM is given by: — (1/2)mω^2A^2
2. The maximum potential energy of a particle in SHM is equal to: — (1/2)kA^2
3. For a particle executing SHM, the velocity is v = ω√(A^2 - x^2). The kinetic energy is KE = (1/2)mv^2. What is the expression for KE in terms of displacement x? — (1/2)mω^2(A^2 - x^2)
4. What is the angular frequency (ω) of a simple pendulum of length L? — √(g/L)
5. If the amplitude of oscillation of a system in SHM is A, the maximum displacement from the mean position is: — A
6. A simple pendulum has a time period of 2 seconds. If its length is increased by 1 meter, its time period becomes 3 seconds. The original length of the pendulum is approximately: — 0.75 m
7. If the time period of a simple pendulum is T, and its length is increased by 24 cm, its time period becomes T + 1 second. The original length of the pendulum is: — 2 m
8. When the displacement of a particle in SHM is equal to half of its amplitude, the ratio of its kinetic energy to its potential energy is: — 3:1
9. What is the time period of a simple pendulum of length 1 meter on the surface of the Earth (g ≈ 9.8 m/s²)? — 2.0 s
10. For a simple pendulum, the time period (T) is approximately 2.0 seconds. If the length of the pendulum is increased by a factor of 4, what will be the new time period? — 4.0 seconds
11. A simple pendulum has a time period T. If its length is increased such that its time period becomes 2T, what is the factor by which the length has increased? — 4
12. A simple pendulum has a time period of 4 seconds. If its length is increased by 3 times, what will be the new time period? — 8 seconds
13. A body is performing SHM. Its total energy is E. At a displacement x = A/2 from the mean position, what is its kinetic energy? — 3E/4
14. A simple pendulum's length is increased by 21 cm, and its time period increases from 2 seconds to 2.2 seconds. The original length of the pendulum is: — 90 cm
15. The total energy of a particle in SHM is proportional to: — Square of amplitude
16. In SHM, the total energy is the sum of kinetic and potential energies. At any point, E = KE + PE. Which statement is always true about E? — E is constant
17. The total energy of a simple harmonic oscillator is E. What is the kinetic energy when the displacement is A/2? — 3E/4
18. The energy in SHM is continuously converted between kinetic and potential forms. At any instant, the total energy is: — The sum of kinetic and potential energy
19. For a particle in SHM, the kinetic energy is maximum when the velocity is maximum. This occurs at: — Mean position
20. What is the unit of angular frequency (ω) for a simple pendulum? — Radians per second (rad/s)
21. If a pendulum clock is taken to a place of higher altitude, its time period will: — Increase
22. The time period of a simple pendulum is T. If it is made to oscillate in a liquid of negligible viscosity, its time period will: — Remain the same
23. If the mass of the bob of a simple pendulum is increased, what happens to its time period? — Remains the same
24. Which statement is correct regarding the total energy of a simple harmonic oscillator? — It is constant throughout the motion.
25. If the amplitude of a SHM is doubled, how does the total energy of the system change? — It quadruples
26. For a simple pendulum, if the length is halved, how does the time period change? — It decreases by a factor of √2
27. If a simple pendulum is taken to the Moon where the acceleration due to gravity is approximately 1/6th of that on Earth, how will its time period change? — It will increase
28. In Simple Harmonic Motion (SHM), what is the relationship between kinetic energy (KE) and potential energy (PE) at the extreme positions of the oscillation? — KE is zero, PE is maximum
29. When an object is at the mean position in SHM, what is the state of its kinetic energy and potential energy? — KE is maximum, PE is zero
30. When the speed of a particle in SHM is zero, its energy is purely: — Potential
31. For a simple pendulum, the time period is directly proportional to: — Square root of length
32. Which of the following factors does NOT affect the time period of a simple pendulum? — Mass of the bob
33. The potential energy of a particle executing SHM is given by U = (1/2)kx^2, where k is the spring constant and x is the displacement from the mean position. What is the nature of this potential energy? — Quadratic
34. The time period of a simple pendulum depends on which of the following quantities? — Length of the string and acceleration due to gravity
35. When is the potential energy of a particle in SHM equal to its kinetic energy? — At positions where the displacement is ± A/√2
36. If the frequency of a SHM is f, what is its time period T? — T = 1/f
37. What is the formula for the time period (T) of a simple pendulum of length L in a location with acceleration due to gravity g? — T = 2π * sqrt(L/g)
38. For a simple pendulum, the time period T is given by T = 2π√(L/g). If g is doubled, the new time period T' will be: — T/√2
39. The time period of a simple pendulum is T. If the mass of the bob is doubled, the new time period will be: — T
40. If the length of a simple pendulum is L and its time period is T, then a pendulum of length L/2 will have a time period of: — T/√2
41. The kinetic energy of a particle in SHM is maximum when the particle is at: — The mean position
42. The potential energy of a particle in SHM is zero at: — The mean position
43. The kinetic energy of a particle in SHM is zero at: — The extreme positions
44. The potential energy of a particle executing SHM is maximum when the particle is at: — The extreme position
45. The total energy of a system in SHM is conserved if: — There are no non-conservative forces acting on the system
46. For a system undergoing SHM, which of the following statements about the total mechanical energy is correct? — Total energy is proportional to the amplitude squared
47. In SHM, when the displacement is x, the potential energy is proportional to: — x^2
48. In SHM, the average kinetic energy over one complete oscillation is equal to: — Half of the total energy
49. In SHM, the average potential energy over one complete oscillation is equal to: — Half of the total energy
50. The potential energy of a particle in SHM is maximum when the displacement is: — Amplitude
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