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If a simple harmonic oscillator has a frequency of 1 Hz, what is the time period

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Question: If a simple harmonic oscillator has a frequency of 1 Hz, what is the time period?

Options:

  1. 0.5 s
  2. 1 s
  3. 2 s
  4. 4 s

Correct Answer: 1 s

Solution: 

Time period (T) is the reciprocal of frequency (f). T = 1/f = 1/1 = 1 s.

If a simple harmonic oscillator has a frequency of 1 Hz, what is the time period

Practice Questions

Q1
If a simple harmonic oscillator has a frequency of 1 Hz, what is the time period?
  1. 0.5 s
  2. 1 s
  3. 2 s
  4. 4 s

Questions & Step-by-Step Solutions

If a simple harmonic oscillator has a frequency of 1 Hz, what is the time period?
  • Step 1: Understand that frequency (f) is how many times something happens in one second. In this case, the frequency is given as 1 Hz.
  • Step 2: Know that the time period (T) is the time it takes for one complete cycle of the oscillator.
  • Step 3: Remember the formula that relates time period and frequency: T = 1/f.
  • Step 4: Substitute the given frequency into the formula: T = 1/1.
  • Step 5: Calculate the time period: T = 1 second.
  • Frequency and Time Period – The relationship between frequency and time period, where the time period is the reciprocal of frequency.
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