Question

A string vibrates in 5 segment to a frequency of 480 Hz. The frequency that will cause it to vibrate in 2 segments will be

• A. 96 Hz
• B. 192 Hz
• C. 1200 Hz
• D. 2400 Hz

Answer 1

The correct option is B 192 Hz

5 segments implies $\lambda =\frac{2}{5}l$
$\nu =\frac{v}{\lambda }=\frac{5v}{2l}=480Hz$
If the string is in 2 segments.
$\lambda =l$
$\nu =\frac{v}{\lambda }=\frac{2}{5}\frac{5v}{2l}=\frac{2}{5}480=192Hz$
Hence option B is correct.