Question:

A sound wave has a frequency of $ 440 \, \text{Hz} $. What is its time period?

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Remember: The time period is the reciprocal of the frequency, \( T = \frac{1}{f} \).
Updated On: Apr 22, 2025
  • \( 0.00227 \, \text{s} \)
  • \( 0.002 \, \text{s} \)
  • \( 0.0025 \, \text{s} \)
  • \( 0.004 \, \text{s} \)
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The Correct Option is A

Solution and Explanation

Step 1: Use the formula for the time period of a wave
The time period \( T \) of a wave is the reciprocal of its frequency \( f \): \[ T = \frac{1}{f} \]
Step 2: Substitute the given frequency
Given: - Frequency \( f = 440 \, \text{Hz} \). Substitute this value into the formula: \[ T = \frac{1}{440} = 0.00227 \, \text{s} \]
Answer:
Therefore, the time period of the sound wave is \( 0.00227 \, \text{s} \). So, the correct answer is option (1).
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