Class 7 | NCERT | Mathematics | Exercise 2.4

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Here are the solutions for exercise 2.4 from NCERT Class 7 Mathematics book,

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Prior to the year 1947, industrial disputes were being settled under the provisions of the Trade Disputes Act, 1929. Experience of the working of the 1929 Act revealed various defects which needed to be overcome by a fresh legislation. Accordingly the Industrial Disputes Bill was introduced in the Legislature. The Bill was referred to the select committee. On the recommendations of the Select Committee amendments were made in the original Bill.

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THE INDIAN PENAL CODE, 1860 ACT NO. 45 OF 1860 [6th October, 1860.] CHAPTER I INTRODUCTION Preamble.-WHEREAS it is expedient to provide a general Penal Code for [India]; It is enacted as follows: 1. Title and extent of operation of the Code. 1. Title and extent of operation of the Code.--This Act shall be called the Indian Penal Code, and shall 3* [extend to the whole of India 4* [except the State of Jammu and Kashmir].

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NCERT Grade 9 Chapter 12, Heron’s Formula. Heron was born in about 10AD possibly in Alexandria in Egypt. He worked in applied mathematics. His works on mathematical and physical subjects are so numerous and varied that he is considered to be an encyclopedic writer in these fields. His geometrical works deal largely with problems on mensuration written in three books. Book I deals with the area of squares, rectangles, triangles, trapezoids (trapezia), various other specialised quadrilaterals, the regular polygons, circles, surfaces of cylinders, cones, spheres etc. In this book, Heron has derived the famous formula for the area of a triangle in terms of its three sides

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Spontaneous imbibition has long been known to have significant role in recovering oil from low permeability fractured reservoirs. Though the fundamental theory of capillarity is known for about a century by the works of Hagen Poiseuille and then by Lucas and Washburn they do not entirely describe the phenomena. The capillary action at early times i.e. in the inertial regime and the dynamics for interacting capillaries remain unexplained. In the present work, we report the numerical investigations using volume of fluid (VOF) model for the spontaneous imbibition in non-interacting and interacting capillaries. Capillaries with radii 0.5 and 1 mm, length 100 mm were selected for studying the effect of non-interacting and interacting nature on the imbibition dynamics. The two interacting capillary cases were with centre to centre distance of 1.25 and 1.485 mm. The interacting capillary model shows that if connectivity is more capillaries will behave as single capillary, but if connectivity is less meniscus leads in smaller radii capillary. The study will help us in understanding the physics of flow in fractured reservoirs.

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