#1
Which of the following quantities is a scalar in harmonic motion?
Displacement
ExplanationMagnitude with direction ignored
#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
ExplanationForce pulling back increases with displacement
#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)
ExplanationPosition as a function of time
#4
What is the relationship between the amplitude and the energy of a harmonic oscillator?
Amplitude is directly proportional to energy
ExplanationHigher amplitude corresponds to higher energy
#5
What is the relationship between the frequency and period of a harmonic oscillator?
Frequency is directly proportional to the period
ExplanationAs one increases, the other increases proportionally
#6
In simple harmonic motion, at what point does the object experience maximum acceleration?
At the minimum displacement
ExplanationWhen displacement is farthest from equilibrium
#7
What is the angular frequency of a harmonic oscillator with a period of 2 seconds?
2π rad/s
ExplanationFrequency in radians per second
#8
Which term represents the maximum displacement from the equilibrium position in simple harmonic motion?
Amplitude
ExplanationMaximum distance from the center
#9
In simple harmonic motion, what does the term 'amplitude' represent?
The maximum displacement from the equilibrium position
ExplanationPeak distance from the central position
#10
What is the phase difference between two harmonic oscillators in phase?
0 degrees
ExplanationBoth oscillate in sync
#11
What is the relationship between the amplitude and energy in a harmonic oscillator?
Amplitude is directly proportional to energy
ExplanationHigher amplitude implies higher energy
#12
What happens to the period of a simple pendulum when its length is increased?
Increases
ExplanationTakes longer to complete one swing
#13
In the context of simple harmonic motion, what does the term 'damping' refer to?
Decrease in amplitude over time
ExplanationGradual decrease in oscillation's strength
#14
What is the phase difference between two harmonic oscillators in antiphase?
180 degrees
ExplanationOpposite direction of oscillation