Embibe Experts Solutions for Chapter: Fluid Mechanics, Exercise 2: Exercise-2

A viscous fluid is flowing through a cylindrical tube. The velocity distribution of the fluid is best represented by the diagram

A given shaped glass tube having uniform cross-section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity $\omega$ then

A candle of diameter $d$ is floating on a liquid in a cylindrical container of diameter $D(D>>d)$ as shown in figure. If it is burning at the rate of $2 \mathrm{cm} {\mathrm{s}}^{-1}$ hour then the top of the candle will

There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is $h$. As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to

Assertion: Any pressure increase at one point of a static connected fluid passed to each point is undiminished.

Reason: Fluid is assumed to be incompressible.

Assertion: One of the two identical container is empty and the other contains two ice cubes. Now both the containers are filled with water to same level as shown. Then both the containers shall weigh the same.

Reason: The weight of volume of water displaced by ice cube floating in water is equal to the weight of ice cube. Hence, both the container in above situation shall weigh the same.

Assertion: Consider an object that floats in water but sinks in oil. When the object floats in water, half of it is submerged. If we slowly pour oil on top of water till it completely covers the object, the object moves up.

Reason: As the oil is poured in the situation of statement-1, pressure inside the water will increase everywhere resulting in an increase in upward force on the object.

Assertion: Hydrostatic pressure is a vector quantity.

Reason: Pressure is force divided by area and force is a scalar quantity.