Question

Standing waves are produced in a string $16m$ long. If there are $9$ nodes between the two fixed ends of the string and the speed of the wave is $32m/s$, what is the frequency of the Wave?

• A. 5 Hz
• B. 10 Hz
• C. 30 Hz
• D. 20 Hz

Answer 1

Answer: (B)

Given, length of spring, $l=16m$
speed of wave, $v=32m/s$
and total number of nodes between the two fixed ends of the string $=9$
$\therefore$ Total number of segments of vibrations between fixed ends, $p=9+1=10$
$\therefore$ frequency of the wave, $f=\frac{p}{2L}\times v$
$=\frac{10}{2\times 16}\times 32=10Hz$