B M Sharma Solutions for Chapter: Fluid Mechanics, Exercise 4: DPP 4.4

A cylindrical tank has a hole of $1\mathrm{ }{\mathrm{cm}}^2$ in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of $70\mathrm{ }{\mathrm{cm}}^3 {\mathrm{s}}^{-1}$ then the maximum height up to which water can rise in the tank is :

A cylindrical vessel of $90\mathrm{ }\mathrm{cm}$ height is kept filled up to the brim. It has four holes $1, 2, 3$ and $4$ which are respectively at heights of  $20\mathrm{ }\mathrm{cm},$ $30\mathrm{ }\mathrm{cm}$, $45\mathrm{ }\mathrm{cm}$ and $50\mathrm{ }\mathrm{cm}$ from the horizontal floor $PQ$. The water falling at the maximum horizontal distance from the vessel comes from :    

In the figure shown, a light container is kept on a horizontal rough surface of coefficient of friction $\mu =\frac{Sh}{V}$. A very small hole of area $S$ is made at depth '$h$'. Water of volume '$V$' is filled in the container. The friction is not sufficient to keep the container at rest. The acceleration of the container initially is:

There is a small hole in the bottom of a fixed container containing a liquid up to height $h.$The top of the liquid, as well as the hole at the bottom, are exposed to atmosphere. As the liquid comes out of the hole. (Area of the hole is $a$ and that of the top surface is $A$) 

A large open tank has two holes in the wall. One is a square hole of side $L,$ at a depth $y$ from the top and the other is a circular hole of radius $R$ at a depth $4y$ from the top. When the tank is completely filled with water, the quantities of water flowing out per sec from both the holes are the same. Then, $R$ is equal to:

A liquid is kept in a cylindrical vessel which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is $r$ and angular velocity of rotation is $\omega ,$ then the difference in the heights of the liquid at the centre of the vessel and the edge is:

The velocity of efflux of an ideal liquid does not depend on: 

The area of two holes $A$and $B$are $2a$and $a$respectively. The holes are at height $\left(\frac{H}{3}\right)$ and $\left(\frac{2H}{3}\right)$ from the surface of the water. Find the correct option(s):