The horizontal deflection effect caused by the Coriolis Force is

Represent the union of two sets by Venn diagram for each of the following.

$X=\{x | x$ is a prime number between $80$ and $100\}$

$Y=\{y | y$ is an odd number between $90$ and $100\}$

Figure shows top view of a circular rotating table rotating with speed $\omega$. Two particles connected by a string are kept on two mutually perpendicular radii. Coefficient of friction is $\mu .$ What can be the maximum angular speed of the table so that particles do not slip on it?

A block $m$ is kept stationary on the surface of an accelerating cage as shown in figure. At the given instant, study the following statements regarding the block.

(i) Normal reaction performs positive work on the block.
(ii) Work done by the friction force on the block is negative.
(iii) No net work is done by normal reaction and frictional force on the block.

A piece of cork has been attached to the bottom of a cylindical vessel that has been filled with water and is rotating about the vertical axis with a constant angular velocity $\omega$. At some moment the cork gets free and comes to the surface. What is the trajectory along which the cork moves to the surface: does it approach the wall or the axis or does it move vertically upward?