Two pulses travel in mutually opposite directions in a string with a speed of $2.5 cm/s$ as shown in the figure. Initially the pulses are $10cm$ apart. What will be the state of the string after two seconds

A uniform rope of mass $6\,kg$ hangs vertically from a rigid support. A block of mass $2\,kg$ is attached to the free end of the rope. A transverse pulse of wavelength $0.06\,m$ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top is (in $m$ )

Explain which properties are necessary to understand the speed of mechanical waves.

A pulse is generated at lower end of a hanging rope of uniform density and length $L$. The speed of the pulse when it reaches the mid point of rope is ......

Speed of a transverse wave on a straight wire (mass $6.0\; \mathrm{g}$, length $60\; \mathrm{cm}$ and area of cross-section $1.0\; \mathrm{mm}^{2}$ ) is $90\; \mathrm{ms}^{-1} .$ If the Young's modulus of wire is $16 \times 10^{11}\; \mathrm{Nm}^{-2},$ the extension of wire over its natural length is

A rope of length $L$ and mass $M$ hangs freely from the ceiling. If the time taken by a transverse wave to travel from the bottom to the top of the rope is $T$, then time to cover first half length is