A tank is filled with water up to a height h and the pressure at the bottom of the tank is 3P where P is the atmospheric pressure. The height of a point from the bottom of the tank where pressure is $\frac{11\mathrm{P}}{5}$ is:

1. $\frac{2\mathrm{h}}{5}$

2. $\frac{3\mathrm{h}}{5}$

3. $\frac{4\mathrm{h}}{5}$

4. None of these

A body of density 0.7 gm/${\mathrm{cm}}^3$ floats on a lake of water. The fraction of the body which is outside water is-

1. 30%

2. 70%

3. 25%

4. 50%

A small spherical solid ball is dropped in a viscous liquid. Its journey in the liquid is best described in the figure by:
                        

Water flows through a frictionless duct with a cross-section varying as shown in the figure. Pressure p at points along the axis is represented by:
         

1.		2.
3.		4.

Equation of continuity is based on:

An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm³ of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be: (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm³) 

1. 350 cm³                               

2. 300 cm³

3. 250 cm³                               

4. 22 cm³

A siphon in use is demonstrated in the following figure. The density of the liquid flowing in the siphon is 1.5 gm/cc. The pressure difference between the point P and S will be:
            

The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. The ratio of density of mercury to that of air is ${10}^4$. The height of the hill is:

The value of g at a place decreases by 2%. Then, the barometric height of mercury:

A barometer kept in a stationary elevator reads 76 cm. If the elevator starts accelerating up, the reading will be: