A transverse harmonic wave on a string is described by $y = 3 \sin \,(36t + 0.018x + \frac{\pi}{4})$ where $x$ and $y$ are in $cm$ and $t$ in $s$. The least distance between two sucessive crests in the wave is .... $m$
$2.5$
$3.5$
$1.5$
$4.5$
A $12 \,m$ long vibrating string has the speed of wave $48 \,m / s$. To what frequency it will resonate ........... $cps$
If the fundamental frequency of string is $220 \,cps$, the frequency of fifth harmonic will be ......... $cps$
Fundamental frequency of one closed pipe is $300$ $\mathrm{Hz}$. What will be the frequency of its second overtone ?
A guitar string of length $90\,cm$ vibrates with a fundamental frequency of $120\,Hz.$ The length of the string producing a fundamental frequency of $180\,Hz$ will be $...........cm$.
The string of a violin has a frequency of $440 \,cps$. If the violin string is shortened by one fifth, its frequency will be changed to ........... $cps$