What is the relationship between the period and frequency of a simple harmonic o

Practice Questions

Q1
What is the relationship between the period and frequency of a simple harmonic oscillator?
  1. T = f
  2. T = 1/f
  3. T = f^2
  4. T = 2f

Questions & Step-by-Step Solutions

What is the relationship between the period and frequency of a simple harmonic oscillator?
Correct Answer: T = 1/f
  • Step 1: Understand what frequency (f) means. Frequency is how many times something happens in one second.
  • Step 2: Understand what period (T) means. The period is the time it takes for one complete cycle of motion.
  • Step 3: Recognize that period and frequency are related. If something happens more times in a second (higher frequency), it takes less time for one cycle (shorter period).
  • Step 4: Learn the formula that connects them: T = 1/f. This means the period is equal to one divided by the frequency.
  • Step 5: If you know the frequency, you can find the period by using the formula. For example, if f = 2 Hz, then T = 1/2 = 0.5 seconds.
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