#1
Which of the following quantities is a scalar in harmonic motion?
Velocity
Acceleration
Displacement
Force
#2
Which of the following is true for simple harmonic motion?
The restoring force is proportional to displacement and acts opposite to the direction of motion
The restoring force is constant and acts in the direction of motion
The restoring force is proportional to displacement and acts in the direction of motion
The restoring force is constant and acts opposite to the direction of motion
#3
What is the equation for the displacement of an object undergoing simple harmonic motion as a function of time?
x(t) = A cos(ωt)
x(t) = A sin(ωt)
x(t) = A tan(ωt)
x(t) = A sec(ωt)
#4
What is the relationship between the amplitude and the energy of a harmonic oscillator?
Amplitude and energy are unrelated
Amplitude is directly proportional to energy
Amplitude is inversely proportional to energy
Amplitude is the square root of energy
#5
What is the relationship between the frequency and period of a harmonic oscillator?
Frequency is inversely proportional to the period
Frequency is directly proportional to the period
Frequency and period are unrelated
Frequency is the square of the period
#6
In simple harmonic motion, at what point does the object experience maximum acceleration?
At the equilibrium position
At the maximum displacement
At the minimum displacement
Acceleration remains constant throughout the motion
#7
What is the angular frequency of a harmonic oscillator with a period of 2 seconds?
π rad/s
2π rad/s
0.5π rad/s
4π rad/s
#8
Which term represents the maximum displacement from the equilibrium position in simple harmonic motion?
Amplitude
Frequency
Period
Phase
#9
In simple harmonic motion, what does the term 'amplitude' represent?
The maximum velocity of the oscillating object
The maximum displacement from the equilibrium position
The frequency of the oscillation
The time period of the oscillation
#10
What is the phase difference between two harmonic oscillators in phase?
180 degrees
90 degrees
0 degrees
45 degrees
#11
What is the relationship between the amplitude and energy in a harmonic oscillator?
Amplitude and energy are unrelated
Amplitude is directly proportional to energy
Amplitude is inversely proportional to energy
Amplitude is the square root of energy
#12
What happens to the period of a simple pendulum when its length is increased?
Increases
Decreases
Remains constant
Becomes zero
#13
In the context of simple harmonic motion, what does the term 'damping' refer to?
Increase in amplitude over time
Decrease in amplitude over time
Constant amplitude
Phase change over time
#14
What is the phase difference between two harmonic oscillators in antiphase?
180 degrees
90 degrees
0 degrees
45 degrees