Q.1
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be ___________
  • a) (πa√3)/T
  • b) (πa√3)/2T
  • c) πa/T
  • d) (3π2 a)/T
Q.2
A body is executing simple harmonic motion. When the displacements from the mean position are 4cm and 5cm, the corresponding velocities of the body are 10cm/sec and 8cm/sec. Thenwhat is the time period of the body?
  • a) 2π sec
  • b) π/2 sec
  • c) π sec
  • d) 3π/2 sec
Q.3
The total energy of a particle performing simple harmonic motion depends on ___________
  • a) k, a, m
  • b) k, a
  • c) k, a, x
  • d) k, x
Q.4
The particle executing simple harmonic motion has a kinetic energy K0 cos2 ωt. The maximum values of the potential energy and the total energy are respectively ___________
  • a) Kc/2 and K0
  • b) K0 and K0
  • c) K0 and 2K0
  • d) 0 and 2K0
Q.5
A linear harmonic oscillator of force constant 2×N/m and amplitude 0.has a total mechanical energy of 160J. Its ___________
  • a) Potential energy is 160 J
  • b) Potential energy is zero
  • c) Potential energy is 100J
  • d) Potential energy is 120J
Q.6
The potential energy of a simple harmonic oscillation when the article is halfway to its end point is ___________
  • a) 2/3 E
  • b) 1/8 E
  • c) 1/4 E
  • d) 1/2 E
Q.7
In a simple harmonic motion, when the displacement is one half the amplitude, what fraction of the total energy is kinetic?
  • a) 1/2
  • b) 3/4
  • c) Zero
  • d) 1/4
Q.8
A body executes simple harmonic motion with amplitude A. At what displacement from the mean position is the potential energy of the body one fourth of its total energy?
  • a) A/4
  • b) A/2
  • c) 3A/4
  • d) Some other fraction of A
Q.9
A loaded vertical spring executes simple harmonic motion with a time period of 4 sec. The difference between the kinetic energy and potential energy of this system varies with a period of?
  • a) 2 sec
  • b) 1 sec
  • c) 8 sec
  • d) 4 sec
Q.10
A mass m is vertically suspended from a spring of negligible mass; the system oscillates with a frequency n. What will be the frequency of the system, if a massis suspended from the same spring?
  • a) n/2
  • b) 4n
  • c) n/4
  • d) 2n
0 h : 0 m : 1 s