The frequency of a sonometer wire is $f$, but when the weights producing the tensions are completely immersed in water the frequency becomes $f/2$ and on immersing the weights in a certain liquid the frequency becomes $f/3$. The specific gravity of the liquid is: 

In an experiment with sonometer when a mass of $180\,g$ is attached to the string, it vibrates with fundamental frequency of $30\,Hz$. When a mass $m$ is attached, the string vibrates with fundamental frequency of $50\,Hz$. The value of $m$ is $………\,g$.

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 ……….. $cps$

If the fundamental frequency of string is $220 \,cps$, the frequency of fifth harmonic will be ……… $cps$

The wave pattern on a stretched string is shown in figure. Interpret what kind of wave this is and find its wavelength.