Fundamental Frequency of Vibrating String: From 256Hz to ?Hz

AI Thread Summary
The fundamental frequency of a vibrating string is directly related to its length; shortening the string increases the frequency. Given a string length of 1.0m with a fundamental frequency of 256Hz, reducing the length to 0.4m will result in a higher frequency. The frequency can be calculated using the formula f = (n/2L)√(T/μ), where L is the length of the string. By shortening the string to 0.4m, the new fundamental frequency is determined to be 640Hz. Understanding this relationship is crucial for solving similar problems in physics.
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Homework Statement


The fundamental frequency of a vibrating stretched string of length 1.0m is 256Hz.When the string is shortened to 0.4m with the same tension,the fundamental frequency now become
how many Hz?


Homework Equations





The Attempt at a Solution

 
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No attempt, no help!
 
attempt using basic equations. check your theory book once again.
 
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