Initially tube is in rest and a spherical ball floats inside the liquid and just touches the upper surface of the tube and spherical ball is tied with a string as shown in the figure. The tube starts rotating with a constant angular velocity ${}^{\prime }{\omega }^{\prime }$. Then

Q. In the figure a ball of mass $m$ is tied with two strings of equal length as shown. If the rod is rotated with angular velocity $\omega$ and $T_1,T_2$ be tension in the strings as shown, then

Q.

Two spherical balls of radii $r_1$ and $r_2$ $(<r_1)$ and density${\rho }_s$ are tied up with a long string and released in a long viscous liquid column of lesser density $\rho$ with the string just taut as shown. The tension of the string when the terminal velocity is attained is

Q. In the figure, a ball of mass $m$ is tied with two strings of equal length $l$ whose other ends are connected to a rod as shown in the figure. If $T_1$ and $T_2$ are the tensions in the upper and lower strings respectively when the rod is rotated with angular velocity $\omega$, then

Q. In the figure a ball of mass $m$ is tied with two strings of equal length as shown. If the rod is rotated with angular velocity $\omega$ and $T_1,T_2$ be tension in the strings as shown, then