Question 1:
What is resonance in the context of waves and oscillations?
Explanation: The correct answer is C) The amplification of oscillations due to matching frequencies. Resonance occurs when a system vibrates with maximum amplitude due to the application of a periodic force that matches its natural frequency.
Question 2:
What is the restoring force in simple harmonic motion?
Explanation: The correct answer is A) The force that opposes the motion of the system. In simple harmonic motion, the restoring force is responsible for bringing the system back to its equilibrium position. It is directly proportional to the displacement from the equilibrium and acts in the opposite direction.
Question 3:
What is the relationship between the period and frequency of a harmonic oscillator?
Explanation: The correct answer is B) Period is the reciprocal of frequency. The period is the time taken to complete one full oscillation, while the frequency is the number of oscillations per unit time. They are inversely related, so as the period increases, the frequency decreases, and vice versa.
Question 4:
What happens when the driving frequency matches the natural frequency of a system?
Explanation: The correct answer is B) Resonance occurs. When the driving frequency matches the natural frequency of a system, resonance occurs. This leads to a significant increase in the amplitude of oscillations, as energy is efficiently transferred from the driving force to the system.
Question 5:
What is the characteristic of the motion in a system experiencing simple harmonic motion?
Explanation: The correct answer is A) Motion along a straight line. In simple harmonic motion, the motion of the system is along a straight line, typically back and forth about an equilibrium position. This type of motion is characterized by a restoring force proportional to the displacement from the equilibrium.
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