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?
Frequency is proportional to sqrt(tension) and inv proportional to length...
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.
it is right cause i have the answer, but can you draw, the working exactly pls :)
\[f = c/\lambda = \sqrt(T/\mu) / \lambda\] 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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