Nootan Solutions Flow of Liquids ISC Class-11 Physics Nageen Prakashan

Nootan Solutions Flow of Liquids ISC Class-11 Physics Nageen Prakashan Chapter-15 Numericals of latest edition. Step by step Solutions of Kumar and Mittal ISC Physics Part-2 Class-11 Nageen Prakashan Numericals Questions. Visit official Website CISCE for detail information about ISC Board Class-11 Physics.

Nootan Solutions Flow of Liquids ISC Class-11 Physics Nageen Prakashan

Class: 11
Subject: Physics Part-2
Chapter  15             (Flow of Liquids)
Board ISC
Writer / Publications Nootan / Nageen Prakashan / Kumar and Mittal
Topics Solved Numericals of page 630,631

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Nootan Solutions Flow of Liquids ISC Class-11 Physics Nageen Prakashan

Stream line flow:- Flow of a liquid fluid  is said to be streamlined if the velocity of a molecule, at any point, coincides with that of the preceding one.

Tube of flow:– A bundle of streamlines having same velocity of fluid elements, over any cross-section perpendicular to the direction of flow, is called a tube of flow.

Laminar flow:– It is a special case of streamline flow in which velocities of all the molecules on one streamline is same throughout its motion.

Turbulent flow:– Whenever the velocity of a fluid is very high or it rushes past an obstacle so that there is a sudden change in its direction of motion, the motion of fluid becomes irregular, forming eddies or whirlpools. This type of motion of fluid is called turbulent flow.

Limitation of Bernoulli’s equation:-

(a) Force of viscosity, which comes into play in case of fluids in motion has not been accounted for.

(b) Loss of energy due to heat is not accounted for.

(c) When a fluid flows in a curved path, the energy due to centripetal force is also not accounted for.

 Pascal’s Law
According to Pascal’s Law, the pressure applied to an enclosed liquid is transmitted undiminished to every portion of the liquid and the walls of the containing vessel.
• Hydraulic system works on Pascal’s law. Force exerted to area, ratio will be same at all cross¬sections.
mechanical-properties-fluids-cbse-notes-class-11-physics-2
Note :-

A large force is experienced in larger cross-section it a smaller force 4cross is applied in smaller by the relation section.

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A column of height h of a liquid of density p exerts a pressure P given
mechanical-properties-fluids-cbse-notes-class-11-physics-3
If Pa be the atmospheric pressure then pressure in a liquid at a depth h from its free surface is given by P = Pa+ hρg. Relation is true for incompressible fluids only.
The gauge pressure (Pg), is the difference of the absolute pressure (P) and the atmospheric pressure (Pa).
Absolute pressure (P) = Gauge pressure (Pg) + Atmospheric pressure (Pa)
Pg=P-Pa

 Law of Floatation :

“A body floats in a liquid if weight of the liquid displaced by the immersed portion of the body is equal to the weight of the body.”
. When a body is immersed partially or wholly in a liquid, then the various forces acting on the body are
(i) upward thrust (T) acting at the centre of buoyancy and whose magnitude is equal to the
weight of the liquid displaced and
• (ii) the weight of the body (W) which acts vertically downward through its centre of gravity.
(a) When W > T, the body will sink in the liquid;
(b) When W = T, then the body will remain in equilibrium inside the liquid;
(c) When W < T, then the body will come upto the surface of the liquid in such a way that the weight of the liquid displaced due to its immersed portion equals the weight of the body. Thus the body will float with only a part of it immersed inside the liquid.


Chapter-15 Flow of Liquids

Nootan Solutions Flow of Liquids ISC Class-11 Physics Nageen Prakashan Nootan Solutions

Page No 630,631

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