The Solid State for Higher Secondary School Chemistry

Solid states are the fundamental states of matter. They are used more often than liquids or gases in the surrounding. Solid states have been widely used in the industry, research, productions and by manufacturers. We need solid in different applications with different properties. Hence there is a need to understand the structure of solids. This is a very important chapter in chemistry  for 12th standard students of CBSE Board. Solutions to all the questions in this chapter can be easily found in any good solution key that provides NCERT Solutions  for Class 12 Chemistry . The correlation between the structure and properties can discover other solid states with desired properties. The solid state should have properties like high temperature, magnetic materials, biodegradable polymers etc. 

The general characteristics of solid state are as follows:

  • Definite mass, shape and volume
  • Short intermolecular distances
  • Strong intermolecular force
  • Constituent particles have fixed position and can oscillate about their mean positions
  • Rigid
  • Incompressible 

Solids can be classified as amorphous and crystalline solids.

Crystalline solids: The solids have more number of small crystals each having a definite geometric shape. For example, Sodium chloride and quartz

Amorphous solids: The solids consist of particles with  irregular shapes. For example, quartz glass. The difference between Crystalline and Amorphous solids are:

PropertyCrystalline solidsAmorphous solids
Shape Definite geometric shapeIrregular shape
Melting pointMelt at sharp and characteristic temperatureSoftens gradually over range of temperature
Cleavage propertyWhen cut with a sharp edge tool, split into two equal parts with plain and smooth surfaces When cut with a sharp edge tool, split into two with irregular surfaces
Heat of fusionHave Does not have
Anisotropy Anisotropy in natureIsotropic in nature
Order of arrangement of particlesLong range orderShort range order

Classification of crystalline solids

Crystalline solids are classified based on the nature of intermolecular forces. They are as follows:

  1. Molecular solids: molecules are the particles of molecular solids. They are further divided  into 
  • Non polar molecular solids, for example, Ar, CCl4,
  • Polar molecular solids, for example, HCl, SO2
  • Hydrogen bonded molecular solids, for example,  H2O (ice)
  1. Ionic solids: ions are the particles of ionic solids. Solids are formed by cation and anion bound by electrostatic forces. For example, NaCl, MgO
  2. Metallic solids: metals are the particles of metallic solids. They are positive ions surrounded by free electrons. These are mobile and widely spread throughout the solids. For example, Fe, Cu
  3. Covalent or network solids: covalent bonds are present in the solids that are strong and directional in nature. Hence they are held strongly in their position making them hard and brittle. For example, quartz and diamond. 

Crystal lattice and unit cells

When  three dimensional arrangements of particles in a crystal in which each particle is depicted as a point is known as crystal lattice. Whereas unit cells are the smallest portion of crystal lattice that gets repeated in different directions to form entire lattice. Unit cells are broadly classified into primitive and centered unit cells. 

Number of atoms in unit cell

Crystal lattice is made of a large number of unit cells and every lattice is occupied by one constituent particle. They are further classified into primitive cubic unit cells, body centered cubic unit cell and face centered cubic unit cell.

Close packed structures

The solids consist of particles that are closely packed. There are three steps to build a three dimensional structure. 

  1. Close packing in one direction: the particles are arranged in row and touching each other. 
  2. Close packing in two dimension: the particles are arranged in stacking the rows of close packed spheres
  3. Close packing in three dimensions:  the particles are arranged by stacking two dimensional layers one above the other. 

Magnetic properties

All the substances have magnetic properties. Each electron acts as a magnet. On the basis of their magnetic properties, they are classified as paramagnetic, diamagnetic, ferromagnetic, antiferromagnetic and ferrimagnetic.

Fractions for High School Maths

Fractions represent a whole number. It can be a single object or group objects. In a fraction 

the number of equal parts is described as numerator and the type of variety is referred to as denominator. It is important to learn the concept of fraction in early stages as it builds the foundation for future studies. Mathematics becomes sometimes difficult for many students in understanding the concept. This is a very important chapter in maths for 6th standard students of CBSE Board. Solutions to all the questions in this chapter can be easily found in any good solution key that provides NCERT Solutions for Class 6 Maths. Fractions are described as one halfs, eight fifths, and three quarters when spoken in english. A brief information on various types of fractions are mentioned below:

Fraction on the number line

Fractions can be shown in number lines. Let’s discuss with an example, draw a straight line. Mark 1/2  on it. We know that 1/2 is greater than 0 and less than 1. It will be placed in between divided into two equal parts. The same method can be followed for 1/3  and 2/3 . Here the line will be divided into three and four equal parts respectively. 

Proper fractions

The fraction is called proper if the numerator is less than denominator and is positive. For example, 1/2 , 3/4 , 4/9 etc. In proper fractions, the denominator shows the number of parts into which the whole is divided and numerator where the number of parts have been considered. 

Improper and mixed fractions 

The fractions where the numerator is bigger than the denominator is called improper fractions. For example, 3/2, 12/7, 18/5 etc. whereas the mixed fractions are those that have a combination of whole and a part. For example, 17/4 i.e  when 17 is divided by 4 is equal to 4 1∕4. Let’s discuss with an example, 

Express the mixed fractions as improper fractions :

2 3/4  = 2+3/4 = (2x 4)/4 +3/4 = 11/4

 Therefore we can express mixed fractions as improper fractions 

    Whole Denominator + Numerator

    ——————————————-

               Denominator

Equivalent fractions

The fractions are taken from the total number of parts. It is equally divided part of the whole. For example, 1/2 , 2/4 and 3/6. 

Adding and subtracting fractions 

The fractions can be added or subtracted. Before adding or subtracting we must find the same denominators. Let’s discuss with an example, 

 Since 1/5  and 1/2 are having different denominator, we must find the equivalent fraction with same denominator 

1/2 = 1×5/2×5=5/10

1/5 = 1×2/5×2=2/10

These are 5/10 and 2/10 respectively, 

Therefore 1/2 – 1/5 = 5/10-2/10= 5-2/10= 3/10

Matrices for Higher Secondary School Maths

Matrices are defined as rectangular arrangement of numbers. The numbers in the metrices are called elements. They are arranged in rows and columns. Each matrix is arranged with the same number of rows and columns. The main focus of matrices is to represent linear transformation. Matrices are applied in the scientific fields like mechanics, electromagnetism, quantum mechanics etc. They are also used in economics. Matrices simplify calculations both in theory and practicals. This is a very important chapter in maths for 12th standard students of CBSE Board. Solutions to all the questions in this chapter can be easily found in any good solution key that provides NCERT Solutions for Class 12 Maths. Matrices can be used for real numbers or complex numbers. Matrices consist of numbers, symbols or expressions. The horizontal lines of elements are called as constitute row of matrix and the vertical lines of elements are called as constitute columns of matrix.

Order of Matrix

A matrix consists of m rows and n columns is called matrix of order. For example, m  x n matrix.

The formula of  matrix is, A = [aij]m × n 

Size of the matrices

Depending on the number of rows and columns the size of the matrices are defined. A matrix with m x n where m is number of rows and n is number of columns known as dimensions. Matrices consisting of single row are called as row vectors and single column are called as column vectors. 

Types of matrices

1.  Row matrix: consist of only one row

2. Column matrix: consist of only two column

3. Square matrix: number of rows are equal to the number of columns

4. Diagonal matrix: if all the non diagonal elements are zero

5. Scalar matrix: if diagonal elements are equal 

6. Identity matrix: a square matrix in which elements in the diagonal are all 1 and rest are zero. 

7. Zero matrix: if all the elements are zero

Addition of matrices :If they are of the same order then matrices can be added. 

Multiplication of matrices: If the number of columns is equal to the number of rows then it can be multiplied. 

Transpose matrix: If  A = [aij] be m x n matrix, then the matrix is obtained by interchanging the rows and columns of A is known as transpose of A. It  is denoted by A′ or (AT). Submatrices are the matrices obtained by deleting collection of rows and columns. 

Applications 

  1. Probability theory and statistics
  2. Linear combinations of quantum states
  3. Electronics
  4. Geometrical optics

NCERT Solutions for Class 12 Biology

The Central Board of Secondary Education (CBSE) conducts Board Examination for Biology. CBSE provides Biology as an elective for the Science Students. The students who aspire to get admission in the Medical Colleges or related field generally opt for the Biology Subject. Biology holds equal importance as other subjects who opt for this subject. Some students tend to take this subject lightly and pay more attention to Physics, Chemistry and Mathematics. If you have opted for this subject, it is equally important to score good marks in Biology as it is important for the other subjects.

Read the following article to know about the Chapters for Class 12 Biology. You will be able to view and  download the Free Solutions for Class 12 Biology. Also follow the Preparation Tips for better preparation and to complete the syllabus in less time. 

CLICK HERE FOR NCERT SOLUTIONS FOR CLASS 12

Class 12 Biology Chapters

Chapter 1: Reproduction in Organisms

Chapter 2: Sexual Reproduction in Flowering Plants

Chapter 3: Human Reproduction

Chapter 4: Reproductive Health

Chapter 5: Principles of Inheritance and Variation

Chapter 6: Molecular Basis of Inheritance

Chapter 7: Evolution

Chapter 8: Human Health and Disease

Chapter 9: Strategies for Enhancement in Food Production

Chapter 10: Microbes in Human Welfare 

Chapter 11: Biotechnology: Principles and Processes

Chapter 12: Biotechnology and its Applications

Chapter 13: Organisms and Populations

Chapter 14: Ecosystem

Chapter 15: Biodiversity and Conservation

Chapter 16: Environmental Issues

CLICK HERE FOR FREE CLASS 12 BIOLOGY SOLUTIONS 

Class 12 Biology Preparation Tips

Rote learning without understanding will not lead to long term results. The students should focus on understanding the concept. You should follow the preparation tips given below which will help you in systematic study leading to completion of the syllabus in lesser time. 

  • You should start with the topics that have more weightage. Click Here to know the marks distribution for each unit.
  • Always start preparation with the NCERT book. It is the base for your study. 
  • Do not focus on rote learning. Read and understand the topics thoroughly.
  • Practise the questions given after each topic simultaneously. 
  • Once you have completed the syllabus, you should solve the CBSE sample papers in the stipulated time.
  • The students should also practise the previous year papers and the practise questions from other sources like internet or reference books as well.
  • While solving the sample papers, make sure that you complete the test in the designated time. This will help you to complete the board exam within the allotted time limit. 
  • Practise as many sample papers as you can. It also helps in concept clarity and develops confidence for the subject.
  • Practise diagrams on a seperate notebook and label them properly. Many times only diagrams are asked as questions. Drawing neat well labelled diagrams will help you attain good marks.  
  • You should study regularly and do not skip days of studying. 
  • Make proper notes in a separate notebook or mark/ highlight important points in your textbook. This will help you in revision.

Now that we have provided you with the complete syllabus, direct link to download the NCERT Solutions for Class 12 Biology. We hope that you will not have any difficulty finding the correct answers when you will study the chapters. Do not forget to follow the Best Preparation Tips for Class 12 Biology to study in a systematic manner and complete the syllabus in advance so that you have enough time left for the revision as well.

NCERT Solutions for Class 12 Chemistry

The Central Board of Secondary Education (CBSE) conducts Board Exams for Class 12 Chemistry. Chemistry is one of the major subjects of Class 12. The students need to put in efforts to score good marks in Class 12 Chemistry Board Exams. The Chemistry consists of Physical Organic and Inorganic Chemistry. Part-1 of the NCERT is dedicated to Physical and Inorganic Chemistry while Part -2 is dedicated to Organic Chemistry.

The following article will provide you with the complete syllabus for Class 12 Chemistry. You will also find the Direct Link to View and Download NCERT Solutions for Class 12 Chemistry for Free. Read the complete page to further know about the Best Preparation Tips for Class 12 Chemistry.

CLICK HERE FOR NCERT SOLUTIONS FOR CLASS 12

Class 12 Chemistry Chapters

Part-1

Chapter 1: The Solid State

Chapter 2: Solutions

Chapter 3: Electrochemistry

Chapter 4: Chemical Kinetics

Chapter 5: Surface Chemistry

Chapter 6: General Principles and Processes of Isolation of Elements

Chapter 7: The p-Block Elements

Chapter 8: The d- and f-Block Elements

Chapter 9: Coordination Compounds

Part-2

Chapter 10: Haloalkanes and Haloarenes

Chapter 11: Alcohols, Phenols and Ethers

Chapter 12: Aldehydes, Ketones and Carboxylic Acids

Chapter 13: Amines

Chapter 14: Biomolecules

Chapter 15: Polymers

Chapter 16: Chemistry in Everyday Life

CLICK HERE FOR FREE CLASS 12 CHEMISTRY SOLUTIONS 

Class 12 Chemistry Preparation Tips

The students should follow a preparation pattern in order to have a systematic study. This way of studying will help you to complete the entire syllabus in less time. You should follow the preparation tips given below for achieving good grades in the examination.

  • The Board Examination strictly follows the NCERT pattern. Start your study with the Class 12 Chemistry NCERT book. This is the basic book you should follow for your studies.
  • You can check the Detailed Chemistry Syllabus and Weightage for different units by clicking here
  • Start your preparation with the units carrying the highest weightage.
  • You should solve the questions associated with each topic simultaneously. 
  • After the completion of the chapter, solve the questions given at the back of each chapter in a separate notebook.
  • The Students should perform experiments in the school laboratory to see the result of the experiments. This will help you to get further clarity of the concepts read in your theory class.
  • Do not forget to practice the Numerical Problems. Many times basic numericas are asked in the exam along with the theory question. 
  • Make proper notes or underline/ highlight the important points. It will help you in the revision.
  • You should not be in a hurry to finish the chapters. Go through the concepts and understand the scientific notations. 
  • Also get into the habit of using the SI units wherever required.
  • Once you complete the syllabus from NCERT book, you should solve the CBSE Sample Papers keeping track of the time required for the examination. 
  • The Students should also practice the Previous Year Papers and then refer to the other practice books. Practising questions from different sources will help you in understanding the topics well.
  • Study and Practice daily. Maintain a separate notebook for practicing Chemistry problems. It will help you to keep track of your performance. 

It is very important for the students to clear all the concepts of Chemistry as it will be very useful in preparation for several Engineering and Medical Entrance Exam. 

Now that we have provided you with the complete details about the NCERT Solutions for Class 12 Chemistry, we hope that you will not face any difficulty while studying. The students should also follow the Preparation Tips in order to study in an effective manner.  

NCERT solutions for class 12 Maths

NCERT Solutions for class 12 Maths: Students are preparing for the board exam in class 12. This year is considered as the year of career where there is huge opportunity lined up based on their performance. Class 12 maths are crucial during the preparation of board exam. Therefore, NCERT solutions for class 12 is prepared for the student to practice any difficult questions. Syllabus for maths is shared in this article along with the solutions. NCERT solutions are even useful for preparation of competitive engineering exams. CBSE NCERT solutions help students in securing good CGPA.  You can download the NCERT solutions and practice for the exams. 

Syllabus for class 12 Maths 

NCERT solutions are designed based on the chapters in the textbook. Step-wise solutions are provided for all the questions. Students find no difficulty in solving the mathematical problems. 

You can check embibe for NCERT chapter wise description. The list of chapters in the Maths textbook are as follows:

  • Chapter 1 – Relations and Functions NCERT Solutions
  • Chapter 2 – Inverse Trigonometric Functions NCERT Solutions
  • Chapter 3 – Matrices NCERT Solutions
  • Chapter 4 – Determinants NCERT Solutions
  •  Chapter 5 – Continuity and Differentiability NCERT Solutions
  •  Chapter 6 – Application of Derivatives NCERT Solutions
  •  Chapter 7 – Integrals NCERT Solutions
  • Chapter 8 – Application of Integrals NCERT Solutions
  •  Chapter 9 – Differential Equations NCERT Solutions
  • Chapter 10 – Vector Algebra NCERT Solutions
  • Chapter 11 – Three Dimensional Geometry NCERT Solutions
  • Chapter 12 – Linear Programming NCERT Solutions
  • Chapter 13 – Probability NCERT Solution

In this article, there are detailed chapters available for the students. These chapters are not only important for academic performance but also for competitive exams such as JEE Mains, JEE Advance respectively. The CBSE class 12 exam is conducted for 80 marks including 20 marks for the internals. 

 Download NCERT syllabus for Class 12 Maths https://www.embibe.com/exams/cbse-class-12-syllabus-for-maths/

For these chapters you can download NCERT solutions for class 12 Maths  to practice and revise for the academic exams. The NCERT solutions can bring a change in thinking among the students for solving and practicing maths. . In this article you can download the solutions and click on chapters to get access to the solutions. Also NCERT allows students to download Chapter wise solutions instead of the whole chapter. NCERT solutions for class 6 maths are 

CBSE NCERT Solutions For Class 12 Maths PDF – Download CBSE Class 12 Maths Book NCERT Solutions

Importance of NCERT solutions 

  • Helps to understand basic concept of the subject
  • Develops interest in practicing problems  
  • Helpful to prepare competitive exams
  • Provide tricks and methods to prepare for exam 

We hope that CBSE NCERT solutions will be useful for your  academic excellence. For more information on NCERT Solutions for class 12, visit  embibe.com

NCERT solutions for class 6 Maths

NCERT Solutions for class 6 Maths: It offers an easy learning platform to study well and  excel in exams. Maths for class 6 plays an important role in strengthening the fundamentals of the subject. This is the right age where students can get the concepts clear and practice the tools for future studies. Students have difficulty in practicing mathematics problems due to lack of practice tools. Therefore, NCERT solutions have been designed for the students to practice and learn for the exam.You can download the NCERT solutions from this article for your practice.

Syllabus for class 6 Maths 

NCERT Class 6 Maths has been brought out with solutions for the students to solve mathematical problems. Sometimes students find it complicated in understanding the concepts. However, NCERT solutions can help them in understanding basic concepts. There are 13 chapters mentioned in the syllabus. For every chapter, solutions are designed as per CBSE guidelines. Students need to do a lot of practice in Maths as it doesn’t come only by reading. Therefore, every question is explained with easy examples. 

The solutions are derived from the prescribed Maths NCERT textbooks and are developed by experts in Maths. The list of chapters in the Maths textbook are as follows:

Chapter 1- Knowing Our Numbers

Chapter 2- Whole Numbers

Chapter 3- Playing with Numbers

Chapter 4- Basic Geometrical Ideas

Chapter 5- Understanding Elementary Shapes

Chapter 6- Integers

Chapter 7- Fractions

Chapter 8- Decimals

Chapter 9- Data Handling

Chapter 10- Mensuration

Chapter 11- Algebra

Chapter 12- Ratio and Proportion

Chapter 13- Symmetry

Chapter 14- Practical Geometry

The syllabus is conceptualized to build a strong base in mathematics through the chapters. It is designed by expert faculty paying attention to each and every concept. There are basic concepts from geometry, algebra, statistics etc. intending to provide a strong foundation at an early age. Students are required to learn all the chapters mentioned in the syllabus to secure good marks in their class 6 final exam.

Download the NCERT syllabus for class 6 Maths 

For all the chapters, you can download NCERT solutions for class 6 Maths to practice and revise for the final  exams. The NCERT solutions can bring a change in thinking among the students for solving and practicing maths. In this article, you can find the link to the solutions. Just click on the chapter links to get access to the solutions. Also, NCERT allows students to download Chapter-wise solutions instead of the whole syllabus. NCERT solutions for class 6 maths are very easy to understand and practice. NCERT solutions are highly recommended by teachers for doing better in exams. 

https://www.embibe.com/exams/cbse-ncert-solutions-for-class-6-maths/

Importance of NCERT solutions 

  • It helps to understand solutions to complicated problems 
  • Solving problems makes mathematical problems easy and interesting 
  • Builds confidence in the students
  • Solutions are available for all the chapters. 

We hope that CBSE NCERT solutions will be useful to you for academic excellence. For more information visit  embibe.com .

NCERT solutions for class 7 science

NCERT Solutions for class 7 science: The National Council of Educational Research and Training (NCERT) is an autonomous organisation founded in 1961 by the Government of India. It aims to advise and assist in government policies in improving the quality of education in India. ‘NCERT solutions for class 7 science’ offers an easy learning platform for you to excel in exams. It has brought out solutions for the questions thought in the classroom. You can download the NCERT solutions and practice for the exams for free with the help of this article. 

Syllabus for class 7 Science 

NCERT aims to promote and undertake school education, publish textbooks, journals, educational kits etc and also to organize teachers’ training programs. Therefore, NCERT Class 7 science has brought out solutions for 18 chapters included in the textbook. NCERT books are extraordinary and reliable in the field of education. All the solutions are derived from CBSE prescribed science textbooks. The list of chapters in the science textbook are as follows: 

  • Chapter 1: Nutrition in Plants
  • Chapter 2: Nutrition in Animals
  • Chapter 3: Fibre to Fabric
  • Chapter 4: Heat
  • Chapter 5: Acids, Bases, and Salts
  • Chapter 6: Physical and Chemical Changes
  • Chapter 7: Weather, Climate, and Adaptations of Animals to Climate
  • Chapter 8: Winds, Storms, and Cyclones
  • Chapter 9: Soil
  • Chapter 10: Respiration in Organisms
  • Chapter 11: Transportation in Animals and Plants
  • Chapter 12: Reproduction in Plants
  • Chapter 13: Motion and Time
  • Chapter 14: Electric Current and its Effects
  • Chapter 15: Light
  • Chapter 16: Water: A Precious Resource
  • Chapter 17: Forests: Our Lifeline
  • Chapter 18: Wastewater Story

Science is a subject that interests many students, especially those who aspire to take up a career in science. They develop their mindset on innovations and research. Therefore, you can download the detailed NCERT syllabus of Class 7 Science in this article.

https://www.embibe.com/exams/cbse-syllabus-for-class-7-science/

For these chapters you can download NCERT solutions for class 7 science to practice and revise for the academic exams. You can learn various topics starting from the first chapter on ‘Nutrition in plants’ to the last ‘Wastewater Story’. The solutions will help you to secure good marks in your exams. In this article, you will find the links  to download the solutions; click on the chapters to get access to the solutions. Also, NCERT allows students to download Chapter-wise solutions instead of the whole chapter. All the questions are solved step by step for better understanding of the concept. Students can visit the link mentioned below for free pdf NCERT solutions of Class 7 Science. 

https://www.embibe.com/exams/cbse-ncert-solutions-for-class-7-science/

Importance of NCERT solutions 

  • Solutions are error free
  • Build confidence in the student for better performance in the exam 
  • Helpful in preparing for competitive exams like JEE main, NEET, CSIR UGC NET etc. 
  • Provides solutions for difficult and analytical questions 
  • Revision becomes easy during the last minute preparation for exams 
  • All the topics are covered 
  • Language is easy to understand 

We hope that CBSE NCERT solutions will be useful to you for academic excellence. For more information visit  embibe.com .

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