OBJECTIVE I

A wooden object floats in water kept in a beaker. The object is near a side of the beaker. Let $P_1, P_2, P_3$ be the pressures at the three points $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ of the bottom as shown in the figure.

Which of the following is true?

A closed cubical box is completely filled with water and is accelerated horizontally towards the right with an acceleration $a$. The resultant normal force by the water on the top of the box

A closed cubical box is completely filled with water and is accelerated horizontally towards the right with an acceleration $a$. The resultant normal force by the water on the top of the box. Let the water push the left wall by a force $F_1$ and the right wall by a force $F_2$.

Water enters through end $\mathrm{A}$ with a speed $v_1$ and leaves through end $\mathrm{B}$ with a speed $v_2$ of a cylindrical tube $\mathrm{AB}$. The tube is always completely filled with water. In case $\mathrm{I}$ the tube is horizontal, in case $\mathrm{II}$ it is vertical with the end $\mathrm{A}$ upward and in case $\mathrm{III}$ it is vertical with the end $\mathrm{B}$ upward. We have $v_1=v_2$ for

Bernoulli's theorem is based on the conservation of

Water is flowing through a long horizontal tube. Let $P_{\mathrm{A}}$ and $P_{\mathrm{B}}$ be the pressures at two points $\mathrm{A}$ and $\mathrm{B}$ of the tube. Which of the following is true?

Water and mercury are filled in two cylindrical vessels up to the same height. Both vessels have a hole in the wall near the bottom. The velocity of water and mercury coming out of the holes are $v_1$ and $v_2$ respectively. Which of the following is true?

A large cylindrical tank has a hole of area $A\mathit{ }$ at its bottom. Water is poured in the tank by a tube of equal cross-sectional area $A$ ejecting water with speed $v$.