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
5 Hz
2 Hz
10 Hz
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, $f = \frac{v}{\lambda} = 5\text{ Hz}$