There are four cylindrical vessels identical in dimensions. If these are filled with equal masses of four different liquids \(P, Q, R\) and\( S\) such that their densities are \(\rho_P>\rho_Q>\rho_R>\rho_S, \) then the pressure at the base of the vessel will be:

1.	\(P_P=P_Q=P_R=P_S\)	2.	\(P_P>P_Q>P_R>P_S\)
3.	\(P_P<P_Q<P_R<P_S\)	4.	The data is insufficient to predict the relation

The reading of a spring balance when a block is suspended from it in the air is 60 N. This reading is changed to 40 N when the block is submerged in water. The specific gravity of the block, therefore, must be:
1. 3
2. 2
3. 6
4. 3/2

A beaker full of water is placed on a spring balance. If we put our finger in water without touching the beaker, how will the reading of the balance change?
[Take \(ρ _{finger}   >   ρ _{wate r}\)]

If a capillary tube is partially dipped vertically into liquid and the levels of the liquid inside and outside are the same, then the angle of contact is:

From the given diagram, what is the velocity \(v_3?\)
               
1. \(4~\text{m/s}\)
2. \(3~\text{m/s}\)
3. \(1~\text{m/s}\)
4. \(2~\text{m/s}\) 

From the given diagram, the speed with which water leaves the tube B of small diameter is-

An iron sphere is dropped into a viscous liquid. Which of the following represents its acceleration \((a)\) versus time \((t)\) graph?

1.		2.
3.		4.

The diameter of a syringe is \(4~\text{mm}\) and the diameter of its nozzle (opening) is \(1~\text{mm}\). The syringe is placed on the table horizontally at a height of \(1.25~\text{m}\). If the piston is moved at a speed of \(0.5~\text{m/s}\), then considering the liquid in the syringe to be ideal, the horizontal range of liquid is: \(\left(g = 10~\text{m/s}^2 \right)\)
1. \(4~\text{m}\)
2. \(8~\text{m}\)
3. \(0.4~\text{m}\)
4. \(0.2~\text{m}\)

A water tank is kept at a height H above the ground and the tank contains depth H of water as shown. Find the maximum possible range of water current, if there exists a small hole on the sidewall of the tank.
          

The water flows through a frictionless tube with a varying cross-section as shown in the figure. The variation of pressure \(P\) at the point \(x\) along the axis is roughly given by:

1.		2.
3.		4.