To increase the frequency from $100\text{ Hz}$ to $400\text{ Hz}$, the tension in the string has to be…

To increase the frequency from $100\text{ Hz}$ to $400\text{ Hz}$, the tension in the string has to be changed by
  1. 4 times
  2. 16 times
  3. 2 times
  4. None of these

Solution

As, $n \propto \sqrt{T}$ $\therefore T \propto n^2\text{ and }T' \propto (4n)^2$ Tension in the string, $T' = 16T$

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