There are two hole $O_1 and O_2$ in a tank of height H . The water emerging from $O_1 and O_2$ strikes the ground at the same points, as shown in figure. Then

1. $H=h_1+h_2$

2. $H=h_2-h_1$

3. $H=\sqrt{h_1{h}_2}$

4. None of these

With the increase in temperature, the surface tension of a liquid

(1) increases

(2) decreases

(3) remains the same

(4) changes erratically

Water flows in a streamlined manner through a capiliary tube of radius a, the pressure difference being p and the rate of flow Q. If the radius is reduced to a/2 and the pressure increased to 2p, the rate of flow becomes

(1) 4Q

(2) Q

(3) $\frac{Q}{4}$

(4) $\frac{Q}{8}$

An object of w and density $\rho$ is submerged in liquid of density $\sigma$, its apparent weight will be

(1) $\left(\rho -\sigma \right)$

(2) $\left(\rho -\sigma \right)/w$

(3) $w\left(1-\frac{\sigma }{\rho }\right)$

(4) $w\left(1-\frac{\rho }{\sigma }\right)$

A person swimming in a fresh water pool swims, obeying

(1) Newton's second law

(2) gravitational law

(3) Newton's third law

(4) Newton's first law 

A container has a small hole at its bottom. Area of cross-section of the hole is $A_1$ and that of the container is $A_2$. Liquid is poured in the containor at a constant rate Q $m^3/s$
The maximum level of liquid in the container will be

(1) $\frac{Q^2}{2g A_1{A}_2}$

(2) $\frac{Q^2}{2g {A_1}^2}$

(3) $\frac{Q}{2g A_1{A}_2}$

(4) $\frac{Q^2}{2g {A_2}^2}$

A rectangular vessel when full of water takes 10 minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water

1. 9 minute

2. 7 minute

3. 5 minute

4. 3 minute

Two rain drops of same radii 'r', falling with terminal velocity 'v' merge and form a bigger drop of radius R. The terminal velocity of the bigger drop is

1. $v\frac{R}{r}$

2. $v\frac{R^2}{r^2}$

3. v

4. 2v

Water flows along a horizonatl pipe whose cross-section is not constant. The pressure is 1 cm of Hg where the velocity is 35 ${\mathrm{cms}}^{-1}$. At a point where the velocity is $65 {\mathrm{cms}}^{-1}$, the pressure will be

1. 0.89 cm of Hg

2. 8.9 cm of Hg

3. 0.5 cm of Hg

4. 1 cm of Hg

If two soaps bubbles of equal radii r coalesce  then the radius of curvature of interface between two bubble will be

1. r

2. 0

3. infinity

4. $\frac{r}{2}$