A simple harmonic oscillator has a frequency of 5 Hz. What is the time period of

Practice Questions

Q1
A simple harmonic oscillator has a frequency of 5 Hz. What is the time period of the oscillator?
  1. 0.2 s
  2. 0.5 s
  3. 1 s
  4. 2 s

Questions & Step-by-Step Solutions

A simple harmonic oscillator has a frequency of 5 Hz. What is the time period of the oscillator?
  • Step 1: Understand that frequency (f) is how many times something happens in one second. In this case, the frequency is given as 5 Hz.
  • Step 2: Know that the time period (T) is the time it takes for one complete cycle of the oscillator. It is the opposite of frequency.
  • Step 3: Use the formula for time period, which is T = 1/f.
  • Step 4: Substitute the frequency value into the formula. So, T = 1/5.
  • Step 5: Calculate the result. 1 divided by 5 equals 0.2.
  • Step 6: Conclude that the time period of the oscillator is 0.2 seconds.
  • Frequency and Time Period – Understanding the relationship between frequency and time period, where the time period is the inverse of frequency.
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