Oscillations
Which of the following statements best describes the restoring force in Simple Harmonic Motion (SHM)?
It is constant throughout the motion.
It is directly proportional to the displacement from equilibrium.
It is inversely proportional to the displacement from equilibrium.
It is independent of the displacement from equilibrium.
A simple harmonic oscillator has a frequency of 2 Hz. What is its period?
0.5 s
1 s
2 s
4 s
An object oscillates with a period of 4 seconds. What is its angular frequency?
rad/s
rad/s
rad/s
rad/s
A mass of 2 kg is attached to a spring with a spring constant of 8 N/m. What is the period of oscillation of this spring-mass system?
s
s
s
s
A mass is attached to a spring with spring constant . If the mass is doubled and the spring constant is doubled, what happens to the period of oscillation?
It is halved.
It is doubled.
It remains the same.
It is multiplied by .
Two identical springs with spring constant are connected to a mass in series. What is the period of oscillation of this system?
A simple pendulum has a length of 1 meter. What is its period of oscillation on Earth (where g ≈ 9.8 m/s²)?
Approximately 1 s
Approximately 2 s
Approximately 4 s
Approximately 8 s

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A simple pendulum has a length and a period on Earth. If the length is quadrupled, what is the new period?
A simple pendulum has a length of 1 meter and is moved to a planet where the acceleration due to gravity is 4 times that of Earth. What is the new period of the pendulum?
0.5T
2T
T/2
4T
Which of the following factors affects the period of a simple pendulum but NOT the period of a spring-mass system?
Mass
Length
Gravity
Spring Constant