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  • Life Processes | Study

  • Mindful Eating: A Path to a Healthy Bodys | Study

  • Number Play | Study

  • QUADRILATERALS | Study

  • REPRODUCTION IN ANIMALS | Study

  • Respiration in Organisms | Study

  • STRUCTURE OF THE ATOM | Study

  • The Triangle and its Properties | Study

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  • Life Processes | Study

    Mind Map Overal Idea Content Speed Notes Quick Coverage Biology is the study of living things. All living things are called organisms, both plants and animals are living organisms. But how we decide whether something is living or non-living depends on 7 lifeprocesses. If something is living it will carryout the 7 life processes below. readmore

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    Biology is the study of living things. All living things are called organisms, both plants and animals are living organisms. But how we decide whether something is living or non-living depends on 7 lifeprocesses. If something is living it will carryout the 7 life processes below. (Scroll down till end ..)

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    • Mindful Eating: A Path to a Healthy Bodys | Study

      Mind Map Overal Idea Content Speed Notes Quick Coverage Content : (Scroll down till end of the page) Study Tools Audio, Visual & Digital Content Content … Key Terms Topic Terminology Term Important Tables Table: . Assessments Test Your Learning readmore

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      • Number Play | Study

        Mind Map Overal Idea Content Speed Notes Quick Coverage We have discussed multiples, divisors, factors and have seenhow to identify factors and multiples. We have discussed and discovered thefollowing: (a) A factor of a number is an exactdivisor of thatnumber. (Scroll down till end of the page) Study Tools Audio, Visual & Digital Content (b) readmore

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        We have discussed multiples, divisors, factors and have seenhow to identify factors and multiples. We have discussed and discovered thefollowing: (a) A factor of a number is an exactdivisor of thatnumber. (Scroll down till end of the page)

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        (b) Every number is a factor of itself. 1 is a factor ofevery number.

        (c) Every factor ofa number isless than or equal tothe given number.

        (d) Every number isa multiple ofeach of itsfactors.

        (e) Every multiple ofa given number is greater thanor equal tothat number.

        (f) Every number is a multiple of itself.

        We have learnt that – (a) The number otherthan 1, withonly factors namely 1 and thenumber itself, isa prime number. Numbers that have more than two factors are called composite numbers. Number 1is neither prime nor composite.

        (b) The number 2is the smallest prime number andis even. Every prime number other than 2 isodd.

        (c) Two numbers withonly 1 asa common factor are called co-prime numbers.

        (d) If a number is divisible byanother number thenit is divisible by each of the factors of that number.

        (e) A number divisible by two co-prime numbers is divisible by their product also.

        We have discussed how we can find just by looking at a number, whether it is divisible by small numbers 2,3,4,5,8,9 and 11.

        We have explored the relationship between digits of thenumbers and theirdivisibility by different numbers.

        (a) Divisibility by 2,5and 10 canbe seen byjust the lastdigit.

        (b) Divisibility by 3and 9 ischecked by finding the sum ofall digits.

        (c) Divisibility by 4 and 8is checked bythe last 2and 3 digits respectively.

        (d) Divisibility of11 is checked by comparing thesum of digits at odd andeven places.

        We have discovered that if twonumbers are divisible by a number then their sum and difference are also divisible by that number.

        We have learnt that – (a) The Highest Common Factor (HCF) of two ormore given numbers is the highest of their common factors.

        (b) The Lowest Common Multiple (LCM) of two ormore given numbers is the lowest of their common multiples.

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        • QUADRILATERALS | Study

          Mind Map Overal Idea Content Speed Notes Quick Coverage Quadrilateral Any closed polygon with four sides, four angles and four vertices are called Quadrilateral. It could be regular or irregular. (Sroll down to continute till the end …) Study Tools Audio, Visual & Digital Content Quadrilateral Quadrilateral is a closed figure with four sides. Characteristics readmore

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          Quadrilateral

          Any closed polygon with four sides, four angles and four vertices are called Quadrilateral. It could be regular or irregular. (Sroll down to continute till the end …)

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          Quadrilateral

          Quadrilateral

          Quadrilateral is a closed figure with four sides.

          QUADRILATERAL

          Characteristics of a quadrilateral

          Angle Sum Property of a Quadrilateral:  

          Qudrilateral is a four sided closed figure.

          Sum of all angles of a quadrilateral is 360°.

          Types Of Quadrilaterals

          Classification of quadrilaterals
          Classification of quadrilaterals

          Quadrilaterals are broadly classified into three categories as:

          (i) Kite

          (ii) Trapezium

          (ii) Parallelogram

          Kite:

          Kite

          (i) Kite has no parallel sides

          (ii) Kite has a pair of equal adjacent sides.

          (ii) It is not a parallelogram

          Characteristics Of Kite:

          Perimeter Of Square

          Area Of Kite

          Trapezium:

          quadrilateral ABCD

          Trapezium is a quadrilateral with the following characteristics:

          (i) One pair of opposite sides is parallel to each other.

          (ii) The other pair of opposite sides may not be parallel to each other.

          Characteristics Of Trapezium

          (i) Sum of all angles of a quadrilateral is 360°.

          (ii) One pair of opposite sides is parallel to each other.

          (iii) The other pair of opposite sides need not be parallel to each other.

          Types Of Trapezium:

          Quadrilaterals are broadly classified into two categories as:

          (i) Isosceles Trapezium.

          (ii) Scalene Trapezium.

          (i) Right Trapezium.

          Isosceles Trapezium:

          Isosceles Trapezium is a quadrilateral with the following characteristics:

          (i) One pair of opposite sides is parallel to each other.

          (ii) The other pair of opposite sides are equal.

          (iii) The other pair of opposite sides need not be parallel to each other.

          Isosceles Trapezium is a trapezium with the following characteristics:

          (i) One pair of opposite sides is parallel to each other.

          (ii) The other pair of opposite sides are equal.

          (iii) The other pair of opposite sides need not be parallel to each other.

          Characteristics Of Isosceles Trapezium

          (i) Sum of all angles of a quadrilateral is 360°.

          (ii) One pair of opposite sides is parallel to each other.

          (iii) The other pair of opposite sides are equal.

          (iv) The other pair of opposite sides need not be parallel to each other.

          Scalene Trapezium:

          • Scalene trapezium: Classified by the length of the legs or the measurement of their angles.

          Characteristics Of Scalene Trapezium

          Right Trapezium:

          • Right trapezium: Has one pair of parallel sides and one pair of right angles.

          Characteristics Of Right Trapezium

          Perimeter Of Trapezium

          Area Of Trapezium

          Parallelogram:

          Parallelogram is a quadrilateral with the following characteristics:

          (i)  Two pairs of opposite sides are parallel to each other.

          (ii) Two pairs of opposite sides are equal in length.

          Characteristics of a parallelogram

          (i) Sum of all angles of a Parallelogram is 360°.

          (ii)  Two pairs of opposite sides are parallel to each other.

          (ii) Two pairs of opposite sides are equal in length.

          (ii) Two pairs of opposite angles are equal.

          (iii) Diagonals bisect each other.

          (iv) Diagonals need not be equal to each other.

          (v) Diagonals divide it into two congruent triangles.

          Types Of Parallelogram

          Parallelograms are broadly classified into three categories as:

          (i) Rectangle

          (ii) Rhombus

          (iii) Square

          Perimeter Of Parallelogram

          Area Of Parallelogram

          Rectangle:

          Rectangle is a quadrilateral with the following characteristics:

          (i) Two pairs of opposite sides are parallel to each other.

          (ii) Two pairs of opposite sides are equal in length.

          (iii) All four angles are right angles. (each angle is 90 o).

          Characteristics Of Rectangle 

          (i) Sum of all angles of a quadrilateral is 360°.

          (ii)  Two pairs of opposite sides are parallel to each other.

          (ii) Two pairs of opposite sides are equal in length.

          (iii) All four angles are right angles. (each angle is 90 o).

          (iii) Diagonals bisect each other.

          (iv) Diagonals are equal to each other.

          (v) Diagonals of a rectangle divide it into two congruent triangles.

          Conclusions:

          1. Every Rectangle is a Parallelogram. But Every Parallelogram need not to be a Rectangle.

          Condition for a rhombus to be a square:

          If all four angles of a parallelogram are right angles. (each angle is 90 o), the parallelogram becomes a Rectangle.

          Perimeter Of Rectangle

          Area Of Recatangle 

          Rhombus:

          Rhombus is a quadrilateral with the following characteristics:

          (i)  Two pairs of opposite sides are parallel to each other.

          (ii) All four sides are equal in length.

          Characteristics Of Rhombus

          (i) Sum of all angles of a quadrilateral is 360°.

          (ii)  Two pairs of opposite sides are parallel to each other.

          (ii) All four sides are equal in length.

          (ii) Two pairs of opposite angles are equal.

          (iii) Diagonals bisect each other.

          (iv) Diagonals need not be equal to each other.

          (v) Diagonals divide a Rhombus into two congruent triangles.

          Conclusions:

          1. Every Rhombus is a Parallelogram. But Every Parallelogram need not to be a Rhombus.

          Condition for a rhombus to be a square:

          If all the sides of a parallelogram are equal, the parallelogram becomes a Rhombus.

          Perimeter Of Rhombus

          Area Of Rhombus 

          Square:

          Square is a quadrilateral with the following characteristics:

          (i)  Two pairs of opposite sides are parallel to each other.

          (ii) All four sides are equal in length.

          (iii) All four angles are right angles. (each angle is 90 o).

          Characteristics Of Square

          (i) Sum of all angles of a quadrilateral is 360°.

          (ii)  Two pairs of opposite sides are parallel to each other.

          (iii) All four sides are equal in length.

          (iv) All four angles are right angles. (each angle is 90 o).

          (v) Diagonals bisect each other.

          (vi) Diagonals need not be equal to each other.

          (vii) Diagonals divide a Rhombus into two congruent triangles.

          Conclusions:

          1. Every square is a Rhombus. But Every Rhombus need not to be a square.

          Condition for a rhombus to be a square:

          If all the angles of a rhombus are right angles (euqal to 90o), the rhombus becomes a square.

          2. Every Square is a prallelogram. But Every prallelogram need not to be a square.

          Condition for a prallelogram to be a square:

          (i) If all the angles of a parallelogram are right angles (euqal to 90o), and all the sides of a parallelogram are equal in length, the parallelogram becomes a square.

          3. Every Square is a rectangle. But Every Rectangle need not to be a square.

          Condition for a Rectangle to be a square:

          If all the sides of a Rectangle are equal in length, the Rectangle becomes a square.

          If all the sides of a parallelogram are equal, the parallelogram becomes a Rhombus.

          Perimeter Of Square

          Area Of Square

          Important Points To Remember

          IMPORTANT POINTS TO REMEMBER
          • The diagonals of a parallelogram are equal if and only if it is a rectangle.
          • If a diagonal of a parallelogram bisects one of the angles of the parallelogram then it also bisects the opposite angle.
          • In a parallelogram, the bisectors of any two consecutive angles intersect at a right angle.
          • The angle bisectors of a parallelogram form a rectangle.

          Mid Point Theorem

          A line segment joining the mid points of any two sides of a triangle is parallel to the third side and length of the line segment is half of the parallel side.

          Converse Of Mid Point Theorem

          A line through the midpoint of a side of a triangle parallel to another side bisects the third side.

          Intercept Theorem

          If there are three parallel lines and the intercepts made by them on one transversal are equal then the intercepts on any other transversal are also equal.

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          Angle Sum Property of a Quadrilateral

          The sum of the four angles of a quadrilateral is 360°

          Angle Sum Property of a Quadrilateral

          If we draw a diagonal in the quadrilateral, it divides it into two triangles.  

          And we know the angle sum property of a triangle i.e. the sum of all the three angles of a triangle is 180°.

          The sum of angles of ∆ADC = 180°.

          The sum of angles of ∆ABC = 180°.

          By adding both we get ∠A + ∠B + ∠C + ∠D = 360°

          Hence, the sum of the four angles of a quadrilateral is 360°.

          Example

          Find ∠A and ∠D, if BC∥ AD and ∠B = 52° and ∠C = 60° in the quadrilateral ABCD.

          quadrilateral ABCD

          Solution:

          Given BC ∥ AD, so ∠A and ∠B are consecutive interior angles.

          So ∠A + ∠B = 180° (Sum of consecutive interior angles is 180°).

          ∠B = 52°

          ∠A = 180°- 52° = 128°

          ∠A + ∠B + ∠C + ∠D = 360° (Sum of the four angles of a quadrilateral is 360°).

          ∠C = 60°

          128° + 52° + 60° + ∠D = 360°

          ∠D = 120°

          ∴ ∠A = 128° and ∠D = 120 °.

          Types of Quadrilaterals

          S No. QuadrilateralPropertyImage
          1.
          Kitea. No Parallel Sides
          b. Two pairs of adjacent sides are equal.
          Kite
          2.TrapeziumOne pair of opposite sides is parallel.Trapezium
          3.ParallelogramBoth pairs of opposite sides are parallel.Parallelogram
          3.Rectanglea. Both the pair of opposite sides are parallel.
          b. Opposite sides are equal.c.
          All the four angles are 90°.
          Rectangle
          4.Squarea. All four sides are equal.
          b. Opposite sides are parallel.
          c. All the four angles are 90°.
          Square
          5.Rhombusa. All four sides are equal.
          b. Opposite sides are parallel.
          c. Opposite angles are equal.d.
          Diagonals intersect each other at the centre and at 90°.
          Rhombus

          Remark: A square, Rectangle and Rhombus are also a parallelogram.

          Properties of a Parallelogram

          Parallelogram

          Theorem 1: When we divide a parallelogram into two parts diagonally then it divides it into two congruent triangles.

          ∆ABD ≅ ∆CDB

           In a parallelogram, opposite sides will always be equal

          Theorem 2: In a parallelogram, opposite sides will always be equal.

          Theorem 3: A quadrilateral will be a parallelogram if each pair of its opposite sides will be equal.

          A quadrilateral will be a parallelogram if each pair of its opposite sides will be equal.

          Here, AD = BC and AB = DC

          Then ABCD is a parallelogram.

          Theorem 4: In a parallelogram, opposite angles are equal.

           In a parallelogram, opposite angles are equal.

          In ABCD, ∠A = ∠C and ∠B = ∠D

          Theorem 5: In a quadrilateral, if each pair of opposite angles is equal, then it is said to be a parallelogram. This is the reverse of Theorem 4.

          Theorem 6: The diagonals of a parallelogram bisect each other.

          The diagonals of a parallelogram bisect each other.

          Here, AC and BD are the diagonals of the parallelogram ABCD.

          So the bisect each other at the centre.

          DE = EB and AE = EC

          Theorem 7: When the diagonals of the given quadrilateral bisect each other, then it is a parallelogram.

          This is the reverse of the theorem 6.

          The Mid-point Theorem

          1. If a line segment joins the midpoints of the two sides of the triangle then it will be parallel to the third side of the triangle.

          Triangle

          If AB = BC and CD = DE then BD ∥ AE.

          2. If a line starts from the midpoint of one line and that line is parallel to the third line then it will intersect the midpoint of the third line. 

          Triangle

          If D is the midpoint of AB and DE∥ BC then E is the midpoint of AC.

          Example

          Prove that C is the midpoint of BF if ABFE is a trapezium and AB ∥ EF.D is the midpoint of AE and EF∥ DC.

          Trapezium

          Solution:

          Let BE cut DC at a point G.

          Now in ∆AEB, D is the midpoint of AE and DG ∥ AB.

          By midpoint theorem, G is the midpoint of EB.

          Again in ∆BEF, G is the midpoint of BE and GC∥ EF.

          So, by midpoint theorem C is the midpoint of BF.

          Hence proved.

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          • REPRODUCTION IN ANIMALS | Study

            Mind Map Overal Idea Content Speed Notes Quick Coverage Reproduction is a process in which the organisms produce the young ones of their own kind. There are two modes by which animals reproduce. These are: (i) Sexual reproduction, and (ii) Asexual reproduction (Scroll down till end of the page) Study Tools Audio, Visual & Digital readmore

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            Reproduction is a process in which the organisms produce the young ones of their own kind. There are two modes by which animals reproduce.

            These are: (i) Sexual reproduction, and (ii) Asexual reproduction (Scroll down till end of the page)

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            Sexual Reproduction

            Reproduction resulting from the fusion of male and female gametes is called sexual reproduction.

            The reproductive organs in the female include ovaries, oviducts and uterus.

            The reproductive organs in male include testes, sperm ducts and penis.

            The ovary produces female gametes called ovum and the testes produce male gametes called sperms. The fusion of ovum and sperm is called fertilization.

            zygote: The fertilized egg is called a zygote.

            internal fertilization: Fertilization that takes place inside the female body is called internal fertilization. This is observed in human beings and other animals such as hens, cows and dogs.

            external fertilization: Fertilization that takes place outside the female body is called external fertilization. This is observed in frogs, fish, starfish, etc.

            The zygote divides repeatedly to give rise to an embryo. The embryo gets embedded in the wall of the uterus for further development.

            The stage of the embryo in which all the body parts are identifiable is called foetus.

            Animals such as human beings, cows and dogs which give birth to young Ones.

            Asexual Reproduction: The type of reproduction in which only a single parent is involved is called asexual reproduction. The transformation of the larva into adult through drastic changes is called Asexual Reproduction

            budding: In hydra, new individuals develop from buds. This method of asexual reproduction is called budding.

            binary fission.: Amoeba reproduces by dividing itself into two. This type of asexual reproduction is called binary fission.

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            • Respiration in Organisms | Study

              Mind Map Overal Idea Content Speed Notes Quick Coverage Respiration is essential for survival of living organisms. It releases energy from the food. The oxygen we inhale is used to breakdown glucose into carbon dioxide and water. Energy is released in this process. The breakdown of glucose occurs in the cells of an organism (cellular readmore

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              Respiration is essential for survival of living organisms.

              It releases energy from the food.

              The oxygen we inhale is used to breakdown glucose into carbon dioxide and water.

              Energy is released in this process.

              The breakdown of glucose occurs in the cells of an organism (cellular respiration) (Scroll down till end of the page)

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              During heavy exercise when the supply of oxygen to our muscle cells is insufficient, food breakdown is by anaerobic respiration (without oxygen)

              Types of Respiration:

              External respiration also known as breathing refers to a process of inhaling oxygen from the air into the lungs and expelling carbon dioxide from the lungs to the air.

              Exchange of gases both in and out of the blood occurs simultaneously.

              Internal Respiration: Process in which food is broken down in body cells.

              Internal respiration is further classified into two types as aerobic respiration and anaerobic respiration

              (a) Aerobic Respiration: Aerobic respiration takes place in the presence of oxygen. Carbon dioxide and water are the end products of aerobic respiration. respiration happens in most of the organisms.

              (b) Anaerobic Respiration: Anaerobic respiration takes place in the absence of oxygen.

              Anaerobic respiration usually happens in most of the microbes.

              Alcohol and carbon dioxide are formed at the end of anaerobic respiration.

              In some cases, lactic acid is formed at the end of anaerobic respiration.

              Respiration in Plants: Leaves have pores called stomata for gaseous exchange by diffusion.

              Stems have openings called lenticels for gaseous exchange by diffusion.

              Roots have stomatal pores for gaseous exchange of oxygen dissolved in soil water.

              Respiration in Animals: Respiration in animals vary according to their character like:

              Earthworm: Earthworms respire through their skin.

              Insect: Insects respire through entire body surface.

              Fish: Fishes respire through their gills.

              Frogs: Frogs respire through their thin, moist and smooth skin when in water and by lungs when on the land.

              Respiration in Humans: Inhaled air passes through nostrils into nasal cavity and then into lungs through windpipe.

              Breathing is a part of the process of respiration during which an organism takes in the oxygen-rich air and gives out air rich in carbon dioxide.

              The respiratory organs for the exchange of gases vary in different organisms.

              During inhalation, our lungs expand and then come back to the original state as the air moves out during exhalation.

              Increased physical activity enhances the rate of breathing.

              In animals like cow, buffalo, dog and cat the respiratory organs and the process of breathing are similar to those in humans.

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              • STRUCTURE OF THE ATOM | Study

                Mind Map Overal Idea Content Speed Notes Quick Coverage Atoms are the basic building blocks of matter. Different kinds of matter contain different kinds of atoms present in them. Protons were discovered by Ernest Rutherford, in his famous gold foil experiment. Electrons were discovered by J.J. Thomson, in his cathode ray tube experiment. Neutrons were readmore

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                Atoms are the basic building blocks of matter.

                Different kinds of matter contain different kinds of atoms present in them.

                Protons were discovered by Ernest Rutherford, in his famous gold foil experiment.

                Electrons were discovered by J.J. Thomson, in his cathode ray tube experiment.

                Neutrons were discovered by James Chadwick. (Scroll down till end of the page)

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                Charged Particles in Matter

                • Whenever we rub two objects together, they become electrically charged. 
                • This is because atoms contain charged particles in them. 
                • Therefore, atoms can be divided further into particles i.e proton, electron and neutron.
                Charged Particles in Matter

                Atoms consist of an equal number of  protons and electrons.

                Protons exist in the interiors of the atom and electrons exist in the exteriors of the atom. Therefore, electrons can be removed from an atom.

                Since electrons exist in the exteriors of the atom they can be removed from an atom.

                Dalton’s Atomic Theory

                The postulates of the atomic theory by John Dalton

                • The matter is made up of tiny particles called Atoms that cannot be divided.
                • Atoms are never formed or destroyed during a chemical reaction. 
                • Atoms of an element exhibit the same nature. 
                • Atoms of the same element have equal size, mass and they exhibit similar chemical properties.
                • Atoms of different elements exhibit variant chemical properties. 
                • Atoms form compounds by combining in a ratio of whole numbers.
                • A compound contains molecules in which a constant number and types of atoms are present.

                Failure of Dalton’s Atomic Theory

                Dalton suggested that atoms can neither be created nor destroyed and are indivisible. 

                But the discovery of electrons and protons in atoms disproved this aspect of Dalton’s theory.

                Thomson’s Model of an Atom

                According to J.J. Thomson, the structure of an atom can be compared to Christmas pudding.

                According to this model the electrons are present inside a positive sphere.Thomson’s Model of an Atom

                An atom is composed of a positively charged sphere in which electrons are embedded.

                Atoms are neutral as the positive and negative charges are equal in number.

                Rutherford’s Model of an AtomRutherford’s Model of an Atom

                Rutherford’s Experiment

                Rutherford experimented by passing alpha rays through a thin gold foil.

                He expected that the gold atoms would deflect the Alpha particles.

                ObservationsInferences
                Alpha particles which had high speed moved straight through the gold foilAtom contains a lot of empty space
                Some particles got diverted a by small anglesPositive charges in the atom are not occupying much of its space
                Only one out of 12000 particles bounced backThe positive charges are concentrated over a particular area of the atom.

                Based on his experiment Rutherford gave the nuclear model of an atom as the following.

                Rutherford’s Atomic Model

                Rutherford’s Atomic Model is known as Planetary Atomic Model and Nuclear Atomic Model.

                According to Rutherford’s Atomic Model:

                • Atoms contain a lot of unoccupied space
                • The center of the atom is highly positive , Rutherford named it as nucleus
                • The atom contains an equal amount of positive and negative charges.

                Nucleus of Atom

                The nucleus is located at the center of the atom.

                All the mass of the atom is because of the nucleus.

                The electrons revolve around the nucleus in circular parts which called Orbits

                The size of an atomic nucleus is much smaller than its atom.

                Drawbacks of the Nuclear Atomic Model

                The Rutherford’s Atomic Model failed to explain how an atom remains stable despite having positive and negative charges present in it. 

                Maxwell’s theory of radiation if any charged particle moves in a circular motion it radiates energy. 

                So, if electrons move in a circular motion around the nucleus they should radiate some energy as a result this decreases at the speed of the electrons. As a result, they would fall into the nucleus and the nucleus should collapse because of its high positive charge. 

                But it is not happening because the matter is not collapsing. 

                Nucleons:  The subatomic particles present in the nucleus are collectively called Nucleons. Protons and Neutrons are nucleons.

                Bohr’s Model of an Atom

                Bohr Atomic Model states as the following:Bohr's Model of an Atom

                • Electrons revolve around the nucleus in particular circular paths, called orbits.
                • The electrons do not emit any energy while moving in their orbits.
                • The orbits are also called Energy Levels.
                • Energy Levels or Orbits are represented by using letters or numbers as shown in the figure.

                Neutron:

                J. Chadwick discovered Neutron, a subatomic particle of an atom. 

                Neutron carries no charge. 

                Subatomic Particles of Atom

                ElectronsElectron carry a negative charge
                ProtonsProtons carry a positive charge
                Neutrons      Neutrons are neutral 

                Electronic Configuration: The distribution of electrons in different shells or orbits is called Electronic Configuration. 

                • If Orbit number = n
                • Then number of electrons present in an Orbit = 2n2
                • So, for n =1
                • Maximum electrons present in shell – K = 2 * (1)2 = 2
                • The outermost shell can contain at most 8 electrons.
                • The shells in an atom are filled in sequence.
                • Thus, until the inner shells of an atom are filled completely the outer shells cannot contain any electrons.

                Valency

                • Valence Electrons – Electrons existing in the outermost orbit of an atom are called Valence Electrons.
                • The atoms which have completely filled the outermost shell are not very active chemically.
                • The valency of an atom or the combining capacity of an atom is given by the number of elements present in the outermost shell.
                • For Example, Helium contains two electrons in its outermost shell which means its valency is two. In other words, it can share two electrons to form a chemical bond with another element.
                • What happens when the outermost shell contains a number of electrons that are close to its maximum capacity?

                Valency in such cases is generated by subtracting the number of electrons present in the outermost orbit from octet (8). For example, oxygen contains 6 electrons in its outermost shell. Its valency is calculated as: 8 – 6 = 2. This means oxygen needs two electrons to form a bond with another element.

                Representation Element:Atomic symbol Notation

                Atomic Number of an Element

                Atomic Number (Z) = Number of protons in an atom

                Mass Number of an Element

                Mass Number = Number of protons + Number of neutrons

                IsotopesIsotopes of Hydrogen

                • The atoms of an element can exist in several forms having similar atomic numbers but varying mass numbers.
                • Isotopes are pure substances.
                • Isotopes have a similar chemical nature.
                • Isotopes have distinct physical characteristics.

                Use of Isotopes:

                1. The fuel of Nuclear Reactor – Isotope of Uranium

                2. Treatment of Cancer – Isotope of Cobalt

                3. Treatment of Goiter – Isotope of Iodine

                Example: Consider two atomic species namely U and V. Are they isotopes?

                 UV
                Protons55
                Neutrons56
                Mass Number5 + 5 = 10 5 + 6 = 11
                Atomic Number55

                From the above example, we can infer that U and V are isotopes because their atomic number is the same.

                Isobars

                The atoms of several elements can have a similar mass number but distinct atomic masses. Such elements are called IsobarsIsobars

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