NCERT Solutions For Class 12 Maths Chapter Vector Algebra Miscellaneous Exercise

This will clear your doubts related to any question and improve your application skills. Each and every question comes with a detailed, step-by-step miscllaneous that is solved by top academic experts of Embibe based on the CBSE Guidelines. Class 12 maths ch 10 miscellaneous name sections included in the Relations and Functions chapter are tabulated below:. Misxellaneous some of the examples of relations from A to B are. In Miscellaneoks 11, you learned that the functions are special kind of relations whereas, in this Class 12 Chapter 1, you will learn about different types of relations and functions, the composition of functions, invertible functions, and binary operations.

All the exercise questions are solved by our expert academic teachers. Q: Are Class 12 Maths Solutions free to download? A: There are a total of 4 exercises in Class 12 Maths Chapter kaths. Apart from that, there are some miscellaneous exercises at the class 12 maths ch 10 miscellaneous name of the chapter.

Embibe has provided comprehensive solutions for all exercises. You can also solve Class 12 Maths practice questions for every chapter in the CBSE Class 12 syllabus for Maths that will also help you in your preparation for JEE and other engineering entrance Class 10 Maths Ch 3 Ex 3.4 Java exams as. We hope this article has helped you. Support: support embibe. General: info embibe. Find which of the following class 12 maths ch 10 miscellaneous name operations are commutative.

Question 3: Let R be relation defined on the set of natural number N. Find the domain and range of the relation.

Also verify whether Clasx is reflexive, symmetric and transitive. Construct an example of each of the following: i an injective mapping from a to B. The sections included in the Relations and Functions chapter are tabulated below: Exercise 1. Class 12 Maths Chapter 2 Solutions. Class 12 Misceplaneous Chapter 3 Solutions.

Class 12 Maths All Chapters Solutions.

Thus:

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Example: Negative catalyst: When catalyst reduces the speed of reaction. Answer: Based on the cause of reaction, decomposition reactions are of following types:. Question Chloroform is stored with a small amount of ethyl alcohol.

Answer: Chloroform has a tendency to react with oxygen from air. This reaction results in production of phosgene which is a poisonous gas. Ethanol is added to chloroform to prevent this reaction. Answer: When a weak acid reacts with a strong base, there is incomplete ionization of the acid and there are OH � ions in the solution from strong base. Due to this, the resulting solution is alkaline. Question Are following reactions possible? Justify your answer.

Copper cannot displace zinc. Iron can displace copper. Answer: Following are different types of chemical reaction: Combination reaction When two or more reactants combine to give one product, the reaction is called combination reaction. In this case, a more reactive atom or group of atoms displaces a less reactive atom or group of atoms.

This happens because zinc displaces copper to form zinc sulphate. Double displacement reaction When an atom or group of atoms in both reactants displaces each other, the reaction is called double displacement reaction. Question What do you understand by oxidation-reduction? Explain with suitable examples.

Answer: Oxidation and reduction can be defined on following bases. Association or decomposition of oxygen: When oxygen is added to a substance, the substance is said to be oxidized. When oxygen is removed from a substance, the substance is said to be reduced.

In other words, addition of oxygen is called oxidation and removal of oxygen is called reduction. When hydrogen is removed from a substance, the substance is said to be oxidized. In other words, addition of hydrogen is called reduction and removal of hydrogen is called oxidation.

Addition of electropositive element to a substance is called reduction. Removal of electronegative element from a substance is called reduction. Answer: Following are different types of catalyst: Homogeneous Catalyst: When the catalyst, reactants and products, all are in the same physical state, the catalyst is called homogeneous catalyst.

Following are some examples of homogeneous catalyst. Heterogeneous Catalyst: When the catalyst, reactants and products are in different physical states, the catalyst is called heterogeneous catalyst. Following are some examples of heterogeneous catalyst. Moreover, catalysts are categorized on other criteria as well. On the basis of action Positive catalyst: When catalyst enhances the speed of reaction.

Question Write the steps of writing chemical equation. Characteristics of Chemical Equation Chemical equation gives brief information about chemical reaction. They are as follows:. When physical states of catalyst, reactants and products are different, it is a heterogeneous catalyst.

Question 3: Chemically rust is a hydrated ferrous oxide b only ferric oxide c hydrated ferric oxide d none of these Answer: c hydrated ferric oxide.

Question 7: The electrolytic decomposition of water gives H2 and 02 in the ratio of a 1: 2 by volume b by volume c 8 :1 by mass d 1: 2 by mass Answer: b 2 :1 by volume. Question 8: In the decomposition of lead Class 12 Maths Ch 10 Miscellaneous Work II nitrate to give lead II oxide, nitrogen dioxide and oxygen gas, the coefficient of nitrogen dioxide in the balanced equation is a 1 b 2 c 3 d 4 Answer: d 4.

Question Fatty foods become rancid due to the process of a oxidation b corrosion c reduction d hydrogenation Answer: a oxidation. Question Dilute hydrochloric acid is added to granulated zinc taken in a test tube. The following observations are recorded.

Point out the correct observation. Answer: c lime water turns milky. Question Identify the following type of reaction: a It is a combination reaction. Answer: d It is a decomposition reaction and is endothermic in nature. Question In which of the following, heat energy will be evolved? Question Which of the following is not an example of single displacement reaction?

Question On immersing an iron nail in CuS04 solution for few minutes, you will observe a no reaction takes place b the colour of solution fades away c the surface of iron nails acquire a black coating d the colour of solution changes to green Answer: d the colour of solution changes to green. Question 3: Give the formula for rust.

Answer: Fe 2 O 3. Question 4: Name the conditions necessary for rusting. Answer: Oxygen and moisture. Question 6: Name the different forms of energy required for breaking down the reactants in decomposition reaction.

Answer: Heat, light and electricity. Question 7: What is the insoluble substance formed in a chemical reaction called? Answer: Precipitate. Question 9: What are noble metals? Answer: Metals which do not react at any temperature, e. Answer: Silver and bromine. Question Name the compound used to test the evolution of carbon dioxide gas. Answer: Calcium hydroxide solution freshly prepared , also called lime water, is used to test CO 2 gas.

Answer: Nitrogen dioxide gas. Question Write the formula for two oxides of sulphur. Answer: SO 2 and SO 3. Question Give the examples of exothermic reaction. Answer: Respiration and water added to lime. Question Give one example of decomposition reaction that occurs in nature, Answer: Rotting of fruits and vegetables.

Question Name the type of reaction in which two or more than two reactants form a single compound. Answer: Combination reaction. Answer: Silver bromide. Question Name the ions present in barium sulphate.

Question Name the reaction which forms insoluble salts. Answer: Precipitation reaction. Question State the reaction in which hydrogen acts as a reducing agent.

Question 1: What happens when carbon dioxide and water react in the same ratio? Answer: When 6 molecules of carbon dioxide and 6 molecules of water react together glucose is formed with the evolution of oxygen gas. Question 2: How can you chemically remove the black coating of copper oxide? Answer: The black coating of copper oxide can be removed chemically by passing hydrogen gas over heated copper oxide.

The black coating turns brown as oxygen is removed by hydrogen. Find reactant A and B. Answer: The reactant A is zinc metal and the reactant B is hydrochloric acid. Question 5: When quick lime is added to water a hissing sound is produced. Question 6: Three test tubes are taken and labelled as A, B and C.

In test tube A iron nail is dipped in water. Invest tube B iron nail is dipped in mixture of water and oil and in test tube C iron nail is added with dry calcium chloride. Name the test tube in which the iron nail will rust and why? Answer: The iron nail will rust in test tube A because it provides the condition reuired for rusting, both moisture as well as air is present in it.

Question 7: Metal X becomes green when left in air, turns black when heated in air. Name the metal and the compounds formed in both the cases. Answer: X is copper. Green compound is due to formation of copper carbonate and black colour compound is due to the formation of copper oxide. Question 9: Explain why most of the metal articles become dull when kept exposed to air?

Answer: Metal articles react with the gases present in the air and their surface gets coated with the layer Ch 10 Maths Class 10 Zero of compound it forms making them look dull and the lustre is lost. For example, aluminium metal reacts readily with oxygen to form aluminium oxide and its surface becomes dull. Question What is rancidity? What is the general name of chemicals which are added to fat and oil containing food so as to prevent the rancidity?

Answer: The oil and fat containing food when left exposed to air reacts with oxygen oxidized and become rancid, this process is called rancidity. In this process their smell and taste changes. The general name of the chemicals that are added to prevent this oxidation are called as antioxidants.

For example, nitrogen gas is an antioxidant. Question Define displacement reaction. Answer: The reaction in which more reactive metal displaces takes place of the less reactive metal from its compound, is called as displacement reaction. Question Give differences between the exothermic and endothermic reactions.

Answer: Exothermic reaction: In this reaction heat is given out during the reaction. Endothermic reaction: In this reaction heat is taken in to break the bonds and to form new compounds. Question Explain and name the type of reaction seen when iron reacts with hydrochloric acid.

Answer: Iron reacts with HCl to release hydrogen gas and chloride salt of iron is formed. This reaction is called as displacement reaction,. Answer: Photosynthesis is a reaction in which energy is required to form glucose from carbon dioxide and water.

Energy in the form of sunlight is required to break the bonds of hydrogen and oxygen. Hence it is termed as endothermic reaction.

Question What is electrolytic decomposition? Give two uses of electrolytic decomposition reaction. Answer: When electricity is passed through a molten compound which is ionic in nature, then the ions of the compound separate into its components thereby decomposing the compound.

Hey there! We receieved your request. Rate of change of extent of reaction is the rate of reaction. Rate of reaction is positive for product and negative for reactant. It goes on decreasing as the reaction progress due to decrease in the concentration s of the reactant s.

Unit of rate of reaction : mol L -1 s The rate measured over a long time interval is called average rate and the rate measured for an infinitesimally small time interval is called instantaneous rate. In a chemical change, reactants and products are involved. As the chemical reaction proceeds, the concentration of the reactants decreases, i. The rate of reaction average rate is defined as the change of concentration of any one of its reactants or products per unit time.

Overall rate of reaction depends on the slowest el ementary step and thus it is known as rate determining step. Elementary reactions with molecularity greater than three are not known because collisions in which more than three particles come together simultaneously are rare.

Half Life :. Enzyme catalyzed reactions are zero order with respect to substrate concentration. Decomposition of gases on the surface of metallic catalysts like decomposition of HI on gold surface.

Half life is independent of the initial concentration of the reactant for a first order reaction. These are the reactions in which more than one species is involved in the rate determining step but still the order of reaction is one. The reactions in which a substance reacts or decomposes in more than one way are called parallel or side reactions.

If we assume that both of them are first order, we get. This reaction is defined as that reaction which proceeds from reactants to final products through one or more intermediate stages. The overall reaction is a result of several successive or consecutive steps. Integrating equation i , we get. The temperature coefficient of a chemical reaction is defined as the ratio of the specific reaction rates of a reaction at two temperature differing by 10 o C.

Its value lies generally between 2 and 3. The number of collisions taking place per second per unit volume of the reaction mixture is known as collision frequency Z. The value of collision frequency is very high, of the order of 10 25 to 10 28 in case of binary collisions. The effective collisions which bring chemical change are few in comparison to the form a product are ineffective elastic collisions, i.





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