## Question

####

A cylindrical vessel is filled with water to a height H. A vessel has two holes in the side, from which water is rushing out horizontally and two streams strike at the same point. If the lower hole Q is h height abve the ground, then the height of hole P above the ground will be :

### Solution

Correct option is
H – h

Let the horizontal distance covered by the stream be *x*

and

In this time, the horizontal distance for

Similarly for

#### SIMILAR QUESTIONS

Q1

A horizontal tube has different cross-sectional areas at points *A* and *B*. The diameter of *A* is 4 cm and that of *B* is 2 cm. Two manometer limbs are attached at *A* and *B*. When a liquid of density 0.8 g/cm^{3} flows through the tube, the pressure-difference between the limbs of the manometer is 8 cm. calculate the rate of flow of the liquid in the tube. (*g* = 980 cm/s^{2})

Q2

Find out the velocity of efflux of water from a hole in the wall of a tank made at 20 m below the free surface of water in the tank.

*g* = 10 m/s^{2}.

Q3

Water tank has a hole in its wall at a distance of 10 m below the free surface of water. The diameter of the hole is 2 mm. Compute the velocity of efflux of water from the hole and the rate of flow of water. (*g* = 9.8 m/s^{2})

Q4

*S*_{1} and *S*_{2} are spring balances. A block *A* is hanging from spring balance*S*_{1} and immersed in a liquid *L* which is contented a beaker *B*. The mass of beaker *B* is 1 kg and the mass of liquid *L* is 1.5 kg. The *S*_{1} and *S*_{2}balances reads 2.5 kg and 7.5 kg respectively. What will be the reading of*S*_{1} and *S*_{2} when the block *A* is pulled up out of the liquid :

Q5

Air is blow through a pipe *AB* at a rate of 15 liter per minute. The cross section area of the wide portion of the pipe *AB* is 2 cm^{2} and that of the narrow potion is 0.5 cm? the difference in the water level *h* is :

Q6

Water from a tap emerge vertically downward with a initial speed of 1 m/s. The cross section area of the tap is 10^{–4} m^{2}. Assume that the pressure is constant throughout the stream of water and that the flow steady. The cross section area of the stream 0.15 m below the tap is :

Q7

A pipe GB is fitted with two pipes *C* and *D*. The pipe has area *A* = 24 m^{2}at G and velocity of water at G is 10 m/s and at *C* is 10 m/s the velocity of water *D* is

Q8

A non viscous liquid of constant density 500 kg/m^{2} flows in a variable cross-sectional tube. The area of cross section of the tube at two points *P*and *Q* at height of 3 m and 6 m are and respectively. The work done per unit volume by the force of gravity as the fluid flows from point *P* and *Q* is

Q9

Water flows along a horizontal pipe whose cross section is not constant. The pressure is 1 cm of Hg where the velocity is 35 cm/s. At a point where the velocity is 65 cm/s. At a point where the velocity is 65 cm/s, the pressure will be:

Q10

There is a wide tank of cross-section area A contain a liquid to a height *H*has a small orifice at its base of area 'a' (a < < A). The time during which liquid level falls to a height