Transverse waves of same frequency are generated in two steel wires $A$ and $B$. The diameter of $A$ is twice of $B$ and the tension in $A$ is half that in $B$. The ratio of velocities of wave in $A$ and $B$ is

A pulse or a wave train travels along a stretched string and reaches the fixed end of the string. It will be reflected back with

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 .... $\%$

A string fixed at both ends resonates at a certain fundamental frequency. Which of the following adjustments would not affect the fundamental frequency?

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 ........... $Hz$ ?

A transverse wave of frequency $500 \,Hz$ and speed $100 \,m / s$ is travelling in the positive $x$-direction on a long string. At time $t=0 \,s$, the displacements at $x=0.0 \,m$ and at $x=0.25 \,m$ are $0.0 \,m$ and $0.02 \,m$, respectively. The displacement at $x=0.2 \,m$ at $t=5 \times 10^{-4} s$ is ............ $m$