The tension of a stretched string is increased by $69\%$. In order to keep its frequency of vibration constant, its length must be increased by ….. $\%$

The fundamental frequency of a sonometer wire is increases by $6\, Hz$ if its tension is increased by $44\%$, keeping the length constant. The frequency of the wire is …… $Hz$

The total length of a sonometer wire between fixed ends is $110\, cm$. Two bridges are placed to divide the length of wire in ratio $6 : 3 : 2$. The tension in the wire is $400\, N$ and the mass per unit length is $0.01\, kg/m$ . What is the minimum common frequency with Which three parts can vibrate ……….. $Hz$ ?

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

The tension in a wire is decreased by $19 \%$. The percentage decrease in frequency will be ……… $\%$