Q. In a simple harmonic oscillator, what is the maximum speed of the oscillating object?
A.
At the maximum displacement
B.
At the equilibrium position
C.
At one-quarter of the amplitude
D.
At half the amplitude
Solution
The maximum speed of an object in simple harmonic motion occurs at the equilibrium position, where the restoring force is zero and the kinetic energy is maximized.
Q. What is the effect of increasing the amplitude of oscillation on the total energy of a simple harmonic oscillator?
A.
Energy decreases
B.
Energy remains constant
C.
Energy increases
D.
Energy becomes zero
Solution
In a simple harmonic oscillator, the total mechanical energy is proportional to the square of the amplitude. Therefore, increasing the amplitude increases the total energy.
Q. What is the relationship between frequency and period in oscillatory motion?
A.
Frequency is the inverse of period
B.
Frequency is equal to period
C.
Frequency is the square of period
D.
Frequency is the product of period and amplitude
Solution
Frequency (f) is defined as the number of oscillations per unit time, while the period (T) is the time taken for one complete oscillation. They are related by the equation f = 1/T.
Correct Answer:
A
— Frequency is the inverse of period
Q. What type of oscillation occurs when the restoring force is proportional to the displacement?
A.
Damped oscillation
B.
Forced oscillation
C.
Simple harmonic motion
D.
Chaotic oscillation
Solution
Simple harmonic motion occurs when the restoring force is directly proportional to the displacement from the equilibrium position, following Hooke's law.
Q. Which of the following describes the motion of a damped harmonic oscillator?
A.
Amplitude remains constant over time
B.
Amplitude decreases over time
C.
Frequency increases over time
D.
Energy is conserved
Solution
In a damped harmonic oscillator, the amplitude decreases over time due to the loss of energy from the system, typically due to friction or air resistance.
