Question

Standing waves are produced in $10\, m$ long stretched string. If the string vibrates in $5$ segments and wave velocity is $20\,m/s$, its frequency is

• A. 5 Hz
• B. 4 Hz
• C. 2 Hz
• D. 10 Hz

Answer 1

Answer: (A)

5 Hz

Answer 2

As standing waves are produced in the string and the string is vibrating in 5 segments, it can be shown as
$\therefore 5 \frac{\lambda}{2}=10$
$\Rightarrow \lambda=4\, m$
Given, the velocity of the wave $v=20\, m / s$
$\therefore$ Frequency $v=\frac{v}{\lambda}=\frac{20}{4}=5\, s ^{-1}=5\, Hz$