A transverse wave is described by the equation $Y=Y_0\sin 2\mathrm{\pi }\left(ft-x/\lambda \right)$. The maximum particle velocity is equal to four times the wave velocity if 

Two blocks each having a mass of $3.2 \mathrm{kg}$ are connected by a wire $CD$ and the system is suspended from the ceiling by another wire $AB$ (figure). The linear mass density of the wire $AB$ is $10 \mathrm{g}/\mathrm{m}$ and that of $CD$ is $8 \mathrm{g}/\mathrm{m}.$ The speed of a transverse wave pulse produced in $AB$ and in $CD$ are :

A wave pulse is generated in a string that lies along $x$-axis. At the points $A$ and $B$, as shown in the figure, if $R_{\mathit{A}}$ and $R_{\mathit{B}}$ are the ratio of wave speed to the particle speed respectively then

Wave pulse on a string shown in the figure is moving to the right without changing shape. Consider two particles at positions $x_1=1.5 \mathrm{m}$ and $x_2=2.5 \mathrm{m}$. Their transverse velocities at the moment shown in the figure are along with directions

A massless rod $BD$ is suspended by two identical massless strings $AB$ and $CD$ of equal lengths. A block of mass $m$ is suspended point $P$ such that $BP$ is equal to $x$, if the fundamental frequency of the left wire is twice the fundamental frequency of right wire, then the value of $x$ is