Question:
When a stretched string is vibrated simultaneously with a 440 Hz tuning fork, a beat frequency of 5 Hz is produced. If the experiment is repeated with a tuning fork of 437 Hz, the beat frequency produced is 8 Hz. The frequency of the string is
When a stretched string is vibrated simultaneously with a 440 Hz tuning fork, a beat frequency of 5 Hz is produced. If the experiment is repeated with a tuning fork of 437 Hz, the beat frequency produced is 8 Hz. The frequency of the string is
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When given beat frequencies from two different sources, use the intersection of absolute difference equations to determine the correct frequency.
Updated On: Jun 3, 2025
- 445 Hz
- 435 Hz
- 429 Hz
- 448 Hz
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The Correct Option is A
Solution and Explanation
Let the frequency of the string be \( f \).
Given:
\[
|f - 440| = 5 \Rightarrow f = 445 \text{ or } 435
\]
\[
|f - 437| = 8 \Rightarrow f = 445 \text{ or } 429
\]
The common value from both sets is:
\[
f = 445 \, \text{Hz}
\]
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