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1.

A liquid is poured into three vessels of the same base area and equal heights as shown in the figure, then:
                          

1.	The maximum force on the base will be for the vessel \(C.\)
2.	The maximum force on the base will be for the vessel \(B.\)
3.	The maximum force on the base will be for the vessel \(A.\)
4.	Force on the base will be equal for all the vessels.

2.

In a U-tube, as shown in the figure, the water and oil are in the left side and right side of the tube respectively. The height of the water and oil columns are \(15~\text{cm}\) and \(20~\text{cm}\) respectively. The density of the oil is: 
\(\left[\text{take}~\rho_{\text{water}}= 1000~\text{kg/m}^{3}\right]\)$$

1.	\(1200~\text{kg/m}^{3}\)	2.	\(750~\text{kg/m}^{3}\)
3.	\(1000~\text{kg/m}^{3}\)	4.	\(1333~\text{kg/m}^{3}\)

3.

A large open tank with a square hole of side \(0.1\) cm in the wall at a depth of \(0.2\) m from the top is completely filled with a liquid. The rate of flow of liquid (in ${\mathrm{cm}}^3$/s) through the hole will be: 

1.	\(1\)	2.	\(2\)
3.	\(3\)	4.	\(4\)

4.

If two iron balls when fully immersed in water experience thrust force in the ratio of \(1:2\), then the ratio of the masses of the balls will be:
1. \(1:1\)
2. \(1:2\)
3. \(2:1\)
4. \(1:4\)

5.

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. \(2~\text{m/s}\) 

6.

A tank is filled with water up to a height \(H.\) The water is allowed to come out of a hole \(P\) in one of the walls at a depth \(D\) below the surface of the water. The horizontal distance \({x}\) in terms of \(H\) and \({D}\) is:
 
1. \(x = \sqrt{D\left(H-D\right)}\)
2. \(x = \sqrt{\frac{D \left(H - D \right)}{2}}\)
3. \(x = 2 \sqrt{D \left(H-D\right)}\)
4. \(x = 4 \sqrt{D \left(H-D\right)}\)

7. With an increase in temperature, the viscosity of:

(a)	gases decrease.	(b)	liquids increase.
(c)	gases increase.	(d)	liquids decrease.

Which of the following options is/are correct?

1.	(b), (c)	2.	(a), (d)
3.	(c), (d)	4.	(a), (b)

8.

Two small spherical metal balls, having equal masses, are made from materials of densities \(\rho_1\) and \(\rho_2\) such that ${\rho }_1=8{\rho }_2$ and having radii of \(1\) mm and \(2\) mm, respectively. They are made to fall vertically (from rest) in a viscous medium whose coefficient of viscosity equals $\eta$ and whose density is \(0.1\)${\rho }_2$. The ratio of their terminal velocities would be:

1.	$\frac{79}{72}$	2.	$\frac{19}{36}$
3.	$\frac{39}{72}$	4.	$\frac{79}{36}$

$$

9. In order to float a ring of area \(0.04~\text{m}^2\) in a liquid of surface tension \(75~\text{N/m}\), the required surface energy will be:
1. \(3~\text{J}\)
2. \(6.5~\text{J}\)
3. \(1.5~\text{J}\)
4. \(4~\text{J}\)

10.

The wettability of a surface by a liquid depends primarily on:

1.	viscosity
2.	surface tension
3.	density
4.	angle of contact between the surface and the liquid