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title: "In a laboratory experiment, two continuous sinusoidal transverse waves are generated on identical stretched strings under equal tension. Wave 1 has frequency \\(f_0\\) and amplitude \\(A_0\\). Wave 2 is generated such that its frequency is \\(3f_0\\) and its amplitude is \\(2A_0\\). The average power \\(P\\) transmitted by a mechanical wave on a string is proportional to the square of its frequency and the square of its amplitude (\\(P \\propto f^2 A^2\\)). What is the ratio \\(\\dfrac{P_2}{P_1}\\) of the average power transmitted by Wave 2 to that transmitted by Wave 1?"
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url: "https://nerd-notes.com/ubq/116633/"
date_modified: "2026-08-04T05:25:21+00:00"
---

# In a laboratory experiment, two continuous sinusoidal transverse waves are generated on identical stretched strings under equal tension. Wave 1 has frequency \(f_0\) and amplitude \(A_0\). Wave 2 is generated such that its frequency is \(3f_0\) and its amplitude is \(2A_0\). The average power \(P\) transmitted by a mechanical wave on a string is proportional to the square of its frequency and the square of its amplitude (\(P \propto f^2 A^2\)). What is the ratio \(\dfrac{P_2}{P_1}\) of the average power transmitted by Wave 2 to that transmitted by Wave 1?

In a laboratory experiment, two continuous sinusoidal transverse waves are generated on identical stretched strings under equal tension. Wave 1 has frequency \(f_0\) and amplitude \(A_0\). Wave 2 is generated such that its frequency is \(3f_0\) and its amplitude is \(2A_0\). The average power \(P\) transmitted by a mechanical wave on a string is proportional to the square of its frequency and the square of its amplitude (\(P \propto f^2 A^2\)). What is the ratio \(\dfrac{P_2}{P_1}\) of the average power transmitted by Wave 2 to that transmitted by Wave 1?

- **A.** \(6\)
- **B.** \(12\)
- **C.** \(18\)
- **D.** \(36\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116633/*