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OpenStudy (anonymous):

The fundamental frequency of vibration of a particular string is f. What would the fundamental frequency be if the length of the string were to be halved and the tension in it was to be increased by a factor of 4?

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OpenStudy (anonymous):

Frequency is proportional to sqrt(tension) and inv proportional to length...

OpenStudy (anonymous):

The frequency is inversely proportional to the wavelength - and proportional to the square root of the tension. So if my mental math is right, the answer is 4f.

OpenStudy (anonymous):

it is right cause i have the answer, but can you draw, the working exactly pls :)

OpenStudy (anonymous):

\[f = c/\lambda = \sqrt(T/\mu) / \lambda\] Now go into this equation and replace T with 4T and lambda with lambda/2. You should find that this has the overall effect of multiplying the right hand side by 4.

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