Embibe Experts Solutions for Chapter: Fluid Mechanics, Exercise 5: Exercise (Previous Year Questions)

By sucking through a straw, a student can reduce the pressure in his lungs to $750 \mathrm{mm}$ of $\mathrm{Hg}$ (density$=13.6 \mathrm{g} {\mathrm{cm}}^{-3}$). Using the straw, he can drink water from a glass upto a maximum depth of,

The cylindrical tube of a spray pump has radius $R$, one end of which has $n$ fine holes, each of radius $r$. If the speed of the liquid in the tube is $V$, the speed of ejection of the liquid through the holes is,

Two non-mixing liquids of densities $\rho$ and $n\rho$ $\left(n>1\right)$ are put in a container. The height of each liquid is $h$. A solid cylinder of length $L$ and density $d$ is put in this container. The cylinder floats with its axis vertical and length $pL\left(p<1\right)$ in the denser liquid. The density $d$ is equal to,

An object is taken $1.0 \mathrm{km}$ deep in sea. The density of sea is $1.025\times {10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$, bulk modulus of object is $1.6\times {10}^6 \mathrm{K} \mathrm{Pa}$. Find out percentage change in the density of object.

A U-tube with both ends open to the atmosphere is partially filled with water. Oil which is immiscible with water is poured into one side until it stands at a distance of $10 \mathrm{mm}$ above the water level on the other side. Meanwhile, the water rises by $65 \mathrm{mm}$ from its original level (see diagram). The density of oil is,

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A small sphere of radius $2 \mathrm{cm}$ falls from rest in a viscous liquid. As a result, heat is produced due to viscous force. The rate of production of heat when the sphere attains its terminal velocity is proportional to:

Water emerges out as a fountain from a vertical tube at a rate of $3000 \mathrm{Ltr} {\min }^{-1}$ up to height $10 \mathrm{m}$. What is the area of cross-section of the tube?

A tank is filled with water up to a height of $1 \mathrm{m}$. A hole is made at a distance $20 \mathrm{cm}$ from top. Find the horizontal distance from the base of the tank where the water strikes the ground.