Standing waves are produced in $10\text{ m}$ long stretched string. If the string vibrates in 5 segments and…

Standing waves are produced in $10\text{ m}$ long stretched string. If the string vibrates in 5 segments and wave velocity is $20\text{ ms}^{-1}$, then its frequency will be
  1. 5 Hz
  2. 2 Hz
  3. 10 Hz
  4. 15 Hz

Solution

Five segments means five loops. Length of one loop is $\frac{\lambda}{2}$. Hence, $5 \frac{\lambda}{2} = 10\text{ m}$ $\therefore \lambda = 4\text{ m}$ Now, frequency, $f = \frac{v}{\lambda} = 5\text{ Hz}$

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