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SUMMER VACATION HOLIDAYS HOMEWORK(2017-18)Class XII MATHEMATICS Assignment1 .What is the range of the function f(x) = |x-1|x-1 2. If f:R?R defined by f(x) =(3-x3)1/3 find fof3. If f is invertible function from R to R such that f(x) = 3x-45 find f -1(x). 4. State the reason for the relation R in set {1,2,3} given by R = {(1,2).(2,1)} not to be transitive.5. Let A = N X N and * be a binary operation on A defined by (a,b)*(c,d)=(a+c,b+d).Show that * is associative and commutative. Also find the identity element in A ,if exists.6. A binary operation * is defined on the set {0,1,2,3,4,5} as a * b = a+b if a+b<6 a*b = a+b -6 if a+ b ≥6show that 0 is identity element and each element is invertible with invers 6-a.7.Let A = R-{3} and B = R -{1},consider the function f:A?B defined f(x) =x-2x-3. Show that f is invertible and also find its inverse’.8. Consider the binary operation * :R X R ?R and O: R X R ?R defined as a*b =la-bl and aO b =a for every a,b€ R . Show that * is commutative but not associative,O is associative but commutative.9.Consider f:R+ ?[4,∞) given by f(x ) =x2 +4 .Show that f is invertible with f-1(y) =y-1, where R+ represents all ngative real numbers.10.Prove that the relation R in the set {5,6,7,8,9} given by R = {(a,b) : |a-b| is divisible by2} is an equivalence relation . Find all element related to 6.11. Let A ={1,2,3,…………9} and R be the relation in A X A defined by (a,b) R(c,d) if a+d = b+c for all (a,b),(c,d ) in A XA .Prove that R is an equivalence relation .Also fin the equivalence class[(2,5)]12. . Consider the f: R+ ?[-5,∞) given f(x) = 9 x2 + 6x – 5 ,R+ Non ngative numbers. Show that f is invertible and also find it inverse .13 If A ={1,2,3,4} and B ={2.4.6.8} ,f :A ?B given by f(x) =2x then write f and f-1 as as set of ordered pairs.14. . Show that the relation R von the set A = {x ?Z: 0≤x≤12} give4n by R = {(a,b): Ia-b I is multiple of 4} is an equivalence relation. Find the set of all elemnt related ti 1i.e equivalence class [1].15.Discuss the commutativity and associativity of binary operation * on R defined by a* b =ab4 for all a,b ?R (4M)16 Prove that tan -1(1/3) +tan-1(1/5) + tan-1(1/7) + tan-1(1/8) =?/417. Solve for x: tan-1(2x) + tan-1(3x) = ?/418.Solve for x, tan-1 x-1x-2 + tan-1x+1x+2 =π/4 19.Prove that tan(π4 +12cos-1ab )+ tan (π4 - 12 cos-1 ab ) = 2ba20.Using the principal value ,evaluate sin-1(sin3?/5)21.Prove that sin-1 (4/5) +sin -1(5/13) +sin-1(16/65) = ?/2CHEMISTRYQuestion bank in Chemistry for practice: 2017-18Class- XII : (Unit: 1. Solid state)01. Differentiate between tetrahedral and octahedral voids.02. What do you understand by the terms isotropy and anisotropy. Set-I,II,III- CBSE 201103. Name a substance which on addition to AgCl causes cation vacancy in it.04. What is meant by the term’ forbidden zone’ in reference to band theory of solids ? Set-I CBSE-2012(foreign)05. What makes alkali metal halides sometimes coloured, which are otherwise colourless ?06. Write a short notes on the following terms a). Schottky defectsb). Frenkel defectsc). F-centresd). Anti-ferromagnetism07. Write a short note on(mention examples at appropriate places)a). Dopingb). p-type of semiconductors c). n-type of semiconductors.08. What is co-ordination number. What is the co-ordination number of atoms in crystals with ccp(fcc) and bcc structures.09. Which point defect in crystals does not alter the density of the relevant solid ?10. Silver forms a fcc lattice whose unit cell edge length is 409 pm. Calculate the density of silver. Molar mass of silver is 108 g/mol.11. An element crystallizes in a structure having a fcc unit cell of an edge 200 pm. Calculate its density, if 200g of this element contains 24x1023.12. The length of the unit cell edge of a BCC metal crystal is 352 pm. Calculate the radius of an atom of the metal.13. If the radius of the octahedral void is r and radius of the atom in close packing is R, Derive the relation between r and R.14. Silver crystallizes in fcc unit cell. Each side of this unit cell has a length of 400 pm. Calculate the radius of the silver atom. (Assume the atoms just touch each other on the Diagonal across the face of the unit cell. That is each face atom is touching the four corner atoms.)15. An element crystallizes in BCC. It has a density of 10 g/cm3 at room temperature. Calculate the atomic radius of the element . (Atomic mass of the element = 60.23 g/mol and NA = 6.022 x 1023 ).16. The unit cell of an element of atomic mass 108 and density 10.5 g/cm3 is a cube with edge length 409 pm. Find the structure of the crystal lattice.(NA = 6.022 x 1023 )17. What is energy gap or forbidden zone. Explain the mechanism in case of conductors, insulators and semi conductors with the help of suitable diagrams.18. Tungsten crystallizes in body centred cubic unit cell. If the edge of the unit cell is 316.5 pm, what is the radius of Tungsten atom ?CBSE 201219. Iron has a body centred cubic unit cell with a cell dimension of 286.65 pm. The density of iron is 7.874 gcm-3. Use this information to calculate Avogadro’s number. (Atomic mass of Fe=55.845u) CBSE 2012(Delhi set)20. An element with density 11.2 gcm-3 forms a f.c.c. lattice with edge length of 4 x 10-8cm. Calculate the atomic mass of the element. ( Given NA = 6.022 x 1023) Set-I,II,III CBSE-2014Question bank in Chemistry for practice: 2017-18 Class – XII : (Unit: 2. Solutions)01. Determine the value of Van’t Hoff factor when Potassium ferricyanide dissociates by 50 percent.02. Mention a large scale use of the phenomenon called reverse osmosis. Set I,II,III CBSE-200903. State Henry’s law . What is the effect of temperature on the solubility of a gas in a liquid. Set-I,II,III CBSE-201404. Two liquid A and B boil at 145 o C and 1900C respectively. Which of them has a higher vapour pressure at 80 o C ? Set I,II,III CBSE-200805. Explain a). positive deviations and b). negative deviations by taking example in each case and show the graphical representations. Set-I, III CBSE-201006. How is molality of a solution different from its molarity ? What is the effect of change in temperature of a solution on its molality and molarity ? Set I,II,III CBSE-201107. Define Raoult’s law in terms ofa). Mole fraction of solvent b). Mole fraction of solute c). For two or more miscible volatile liquids d). as a special case of Henry’s law. 08. What are ideal and non-ideal solutions. Write characteristics in terms of ?H and ?V. 09. What do you understand by a). Azeotropes b). Colligative properties c). Van’t Hoff factor10. Calculate the boiling point of a solution prepared by adding 15g. of NaCl to 250g. of Water. (Kb = 0.512k/mol and molar mass of NaCl is 58.5 g/mol)11. (a). Why is the vapour pressure of a solution of glucose in water lower than that of water (b). A 6.90M solution of KOH in water contains 30% by mass of KOH. Calculate the density of the KOH solution.[Molar mass of KOH = 56g/mol]12. (a). Urea forms an ideal solution in water. Determine the vapour pressure of an aqueous solution containing 10% by mass of urea at 40oC. [ Vapor pressure of water at 40oC = 55.3mm of Hg] (b). Why is freezing point depression of 0.1M sodium chloride solution nearly twice that of 0.1M glucose solution ?13. A 0.1539 molal aqueous solution of cane sugar (molar mass=342 g/mol) has a freezing point 271k while the freezing point of pure water is 273.15k. What will be the freezing point of an aqueous solution containing 5g. of glucose. ( Molar mass = 180 g/mol) per 100 of solution.14. Calculate the temperature at which a solution containing 54g of glucose[C6H12O6] in 250 g of water will freeze.(Kf for water = 1.86 K/mol)15. 100 mg of a protein is dissolved in just enough water to make 10.0 ml of solution. If this solution has an osmotic pressure of 13.3 mm of Hg at 25oC. What is the molar mass of the protein ? ( R = 0.0821 L atm K-1 mol-1 and 760 mm Hg = 1 atm )16. Calculate the freezing point depression expected for 0.0711 m aqueous solution of Na2SO4. If this actually freezes at -0.320 oC, what would be the value of Van’t Hoff factor ? (Kf = 1.86 K/mol). 17. Calculate the osmotic pressure of a decimolar solution of cane sugar at 25o C . (R = 0.0821 L atm K-1 mol-1).18. A 1.00 molal aqueous solution of trichloroacetic acid[CCl3COOH] is heated to its boiling point. The solution has the boiling point of 100.18oC. Determine the Van’t Hoff factor for trichloroacetic acid. ( Kb for water = 0.512K kg mol-1 ) Set-I,II CBSE-201219. 18g. of glucose[C6H12O6] is dissolved in 1 kg of water in a saucepan. At what temperature will water boil at 1.013bar ? (Kb for water is 0.52k/mol) Set-I,II,III CBSE-201320. Calculate the mass of compound(molar mass=256g/mol) to be dissolved in 75g. of benzene to lower its freezing point by 0.48K(Kf = 5.12 kg/mol) Set-I,II,III CBSE-2014 Question bank in Chemistry for practice: 2017-18Class- XII : (Unit: 3. Electrochemistry)Define the term molar conductivity. Write its units and mathematical expression.How does conductivity and molar conductivity vary for (i) weak electrolyte and for (ii) strong electrolyte with concentration. State and explain Kolhrausch law. How is it helpful in determining molar conductivityof weak electrolytes. State and explain Faraday's laws of electrolysis. Describe the reactions which occur at the electrodes in a fuel cell that causes H2 and O2 to produce electricity. Write two advantages of fuel cells over traditional cells. Write the electrode reactions in case of(i). Dry cell [Leclanche cell] ii). Mercury cell ii). Lead storage battery and (iv) Ni-Cd storage cell. 07. Explain the electrolysis of aqueous solution of NaCl and molten NaCl. 08. Calculate the e.m.f of the cell at 25oC, Mg(s)/Mg2+(0.1M) ║Ag+ (0.1M) / Ag(s) Given that E(Mg2+∕Mg) = -2.36v and E(Ag+∕Ag) = 0.8v 09. Calculate the Ecell of the cell at 25oC, Fe(s)/Fe2+(0.1M) ║Ag+ (0.1M) / Ag(s) Given that E(Fe2+∕Fe) = -0.44v and E(Ag+∕Ag) = 0.8v 10. How many hours does it take to reduce 3 moles of Fe3+ to Fe2+ with 2.00A current ? 11. Write the Nernst equation and find out the e.m.f. of the following cell at 250C : Pt, Br2(l) /Br—(0.01M) ║H+ (0.03M)∕H2(1atm.), Pt and Eo(Br2∕Br-) = +1.09v 12. How much copper is deposited on the cathode of an electrolytic cell if a current of 5 amperes is passes through a solution of copper sulphate for 45 minutes. [Atomic mass of Copper = 63.5g/mol, 1F= 96500C] 13. Calculate the equilibrium constant (Kc) and ΔGo for the reaction at 298k: Zn(s) + Cu2+(aq) Zn2+ (aq) + Cu(s) ; Given that E(Zn2+∕Zn) = -0.76V and E(Cu2+∕Cu) = 0.34VA voltaic cell is set up at 298k with the following half cells: Cu(s)/Cu2+(0.1M) ║Ag+ (0.001M) / Ag(s) and E0 cell = 0.46V. What would be the voltage of this cell ? Calculate the equilibrium constant (Kc) and ΔGo for the reaction at 298k: Fe(s) + Cd2+(aq) Fe2+ (aq) + Cd(s) ; Given that : E(Cd2+∕Cd) = -0.40V and E(Fe2+∕Fe) = -0.44VWhat is salt bridge ? What is its function in the electrochemical cell ?Electrolytic conductivity of 0.30M solution of KCl at 298k is 3.72 x 10-2 S Cm-1. Calculate its molar conductivity.Predict the products of electrolysis in each of the following: (i). An aq. Solution of AgNO3 with silver electrodes (ii). An aq. Solution of AgNO3 with platinum electrodes (iii) An aq. Solution of H2SO4 with platinum electrodes (iv). An aq. Solution of CuCl2 with platinum electrodesThe values of Λo for NH4Cl, NaOH and NaCl at infinite dilution are respectively 129.8, 248.1 and 126.4 S cm2 mol-1. Calculate Λo for NH4OH. 20. What is corrosion. What are the factors that influence the rate of corrosion. Show that rusting of Iron is an electrochemical phenomenon(Write mechanism).ENGLISH Write 15 short answer type question from the chapter you have done in the classroom till May 11, 2017.Chapter:The last lesson My mother at sixty six (poem)The tiger kingCollect 25 editorial articles of English language, 10 editorial article should be used for note making and 15 articles to be used for comprehension check. You have to invent questions for comprehension check and write their answer accordingly.*Remark – the homework should be done in classwork notebook.BUSINESS STUDIESStudents are advised to come prepared for the monthly test from the following chapters:Nature and Significance of ManagementPrinciples of Management Business EnvironmentMarketing Management Prepare TWO project files according to CBSE guidelines :PROJECT WORK- Principles of ManagementThe students are required to visit any one of the following: 1) A departmental store. 2) An Industrial unit. 3) A fast food outlet. 4) Any other organisation approved by the teacher. They are required to observe the application of the general Principles of management advocated by Fayol. Fayol’s principles -1. Division of work. 2. Unity of command. 3. Unity of direction. 4. Scalar chain 5. Espirit de corpse 6. Fair remuneration to all. 7. Order. 8. Equity. 9. Discipline 10. Subordination of individual interest to general interest. 11. Initiative. 12. Centralisation and decentralisation. 13. Stability of tenure.14. Authority and Responsibility B. Marketing Management Students are required to make a project on the identified product keeping into mind the following:1. Why have they selected this product/service? 2. Find out ‘5’ competitive brands that exist in the market. 3. What permission and licences would be required to make the product? 4. What are your competitors Unique Selling Proposition.[U.S.P.]? 5. Does your product have any range give details? 6. What is the name of your product? 7. Enlist its features. 8. Draw the ‘Label’ of your product. 9. Draw a logo for your product. 10. Draft a tag line. 11. What is the selling price of your competitor’s product? (i) Selling price to consumer (ii) Selling price to retailer (iii) Selling price to wholesaler What is the profit margin in percentage to the Manufacturer. Wholesaler. Retailer. 12. How will your product be packed? 13. Which channel of distribution are you going to use? Give reasons for selection? 14. Decisions related ot warehousing, state reasons. 15. What is going to be your selling price? (i) To consumer (ii) To retailer (iii) To wholesaler 16. List 5 ways of promoting your product. 17. Any schemes for (i) The wholesaler (ii) The retailer (iii) The consumer 18. What is going to be your ‘U.S.P? 19. What means of transport you will use and why? 20. Draft a social message for your label. 21. What cost effective techniques will you follow for your product. 22. What cost effective techniques will you follow for your promotion plan. At this stage the students will realise the importance of the concept of marketing mix and the necessary decision regarding the four P’s of marketing. PRODUCT PRODUCT PLACE PRICE PROMOTION .On the basis of the work done by the students the project report should include the following: 1. Type of product /service identified and the (consumer/industries) process involve there in. 2. Brand name and the product. 3. Range of the product. 4. Identification mark or logo. 5. Tagline. 6. Labelling and packaging. 7. Price of the product and basis of price fixation. 8. Selected channels of distribution and reasons thereof. 9. Decisions related to transportation and warehousing. State reasons. 10. Promotional techniques used and starting reasons for deciding the particular technique. 11. Grading and standardisation. PRESENTATION AND SUBMISSION OF PROJECT REPORT.At the end of the stipulated term, each student will prepare and submit his/her project report. Following essentials are required to be fulfilled for its preparation and submission. 1. The total length of the project will be of 25 to 30 pages. 2. The project should be handwritten. 3. The project should be presented in a neat folder. 4. The project report should be developed in the following sequence- Cover page should include the title of the Project, student information, school and year. List of contents. Acknowledgements and preface (acknowledging the institution, the places visited and the persons who have helped). Introduction. Topic with suitable heading. Planning and activities done during the project, if any. Observations and findings of the visit. Conclusions (summarised suggestions or findings, future scope of study). Photographs (if any). Appendix . EconomicsQ1Explain three economic problems with example.Q2.How PPC will be influenced under following situations….(a)Employment generation scheme by the govt.(b) Beti bachao and beti padao scheme.?Jan Dhan Yojana.(d)Skill India scheme.(e) demonetization.Q3.Explain law of diminishing marginal utility.Q4.Explain consumer’s equilibrium in ..one commodity case, two commodity case,indifference curve approach.use dia.Q5.Explain properties of IC.use diaQ6.what are the factors affecting demand.explain,.Q7.Distinguish between change in demand and change in quantity demanded.use dia and example.Q8.Explain price elasticity of demand,it’s factors,methods also.Q9.Do 2 numericals daily on ed.Q10.Do one table each day of missing number from product,revenue,cost etcQ11Explain Law of Variable Proportion with causes,dia ,table .Q12.Explain TFC,TVC,TC,AVC,AFC,AC,MC.show table and dia.Q13.Explain TR<AR<MR<Producer”s equilibrium,use dia,table Q14.Do CBSE question papers from 2012-2017 on unit 1,2,3,HISTORYObjectives of holidays home workHoliday Home work question are based on the pattern of previous years.Questions, fulfulling the objectives of revision and to analyses the annual examination pattern of 2018Learn and write2 Marks question:Chapter -1Q.1What were the confusion in the mind of cunningham while studying Harappan Civilization?Q.2"Our knowledge about the Indus valley civilization is poorer than that of the other civilization". explain it by your arguments?Q.3How was Johan marshall?Q.4What causes were responsible for the decline of the Harappan civilization.Q.5Discuss two features of the houses of Mohenjodaro?Q.6What is meant by Meluhha?Q.7 What were the problems in the excavation work of John Marshall? 4/8 marksQ.8Discuss how archaeologists reconstruct the past?Q.9Discuss the functions that may have been performed by rulers in Harappan society?Q.10Would you agree that the drainage system in Harppan cities indicates town planning?Q.11value based questionsNCERT Page No. -12The Harppans Procured ....................... (From Rajasthan )Q.1 Do you agree with the view that settlement was very valuable way of procuring raw materials for craft Production?NCERT- page No. 13 to 14.Recent archaeological finds.......... and boactson seals.?Q.1.How far contacts with distant land was valuable for the harappars?Q.2.What does the Mesopotamian texts say about copper?NCERT Page No. 4How artefacts are identified.......Q.1Name the material used for making equipment for processing of food?Q.2What strategy and equipment were used by mackay?Chapter -2 4/8 marksQ.12Describe the salient features of mahajanapadas?Q.13How do historians reconstruct the lives of ordinary people?Q.14List some of the problems faced by epigraphists?Q.15Discuss the main features of Mauryan administration?Q.16Discuss factors responsible for the rise of magadha?Q.17Important changes in agriculture during the period between 600 BCE to 600 CE?Q.18Describe the system of land grants in the early centuries of the common era?Q.19Describe the features of the coinage during the period of 600 to 600 CE?Q.20Source Based/value based:NCERT page No. 34What the king's officials did.......Q.1Explain the duties of the great officers of state?Q.2Explain the role of subcommittees for coordinating military activities?Q.3What did Asoka do to hold his empire together?NCERT- page No. 47The order of the king.......Q.1Who was devanampiya piyadassi?Q.2What is the meaning of piyadassi?Q.3What is the meaning of Pativedaka?NCERT- Page No. 40-41 - From the ..... transactions.Q.1What did the Sanskrit Legal texts say about women access to resources such as land?Q.2What was the value behind granting land grants?Q.21Explain it ......30 words.Agrahara, numismatics, Prashasti, dhamma, oligarchy, Janapada, james Prinsep, inscriptions, Dharmasutra, Gahapati;Chapter- 3 4/8 marks.Q.22Explain why Patrilliny may have been particularly important among elite families?Q.23Discuss whether kings in early states were invariably Kshatriyas.Q.24In what ways was the Buddhist theory of social contract different from the Brahmanical view of society derived from the Purusha Sukta?Q.25Discuss whether the Mahabharata could have been the work of a single author:Q.26How important were gender differences in early societies? give reasons for your Ans.?Q.27Discuss the evidence that suggests that Brahmanical Prescriptions about kinship and marriage were not universally followed?Q.28Explain it- 30/50 words-Matrilliny , patrilliny, exogamy, V.S sukthankar, Guilds or shrenis, Rudradaman, Varanas, Chandala, Raja Gotami- puta siri-satakari. panini, Tripitaka,Chapter- 4 4/8 marksQ.29Were the Ideas of the Upanishadic thinkers different from those of the fatalists and materialists ? Give reasons for your answer.Q.30Why do you think women and man joined the sangha?Q.31What was the central teachings of Jainism and Buddhism?Q.32Discuss the role of the begums of Bhopal in preserving the stupa at sanchi.Q.33Discuss how and why stupas were built?Q.34Discuss the development in sculpture and architecture assoicated with the rise of vaishnavism and Shaivism.Q.35To what extent does knowledge of Buddhist literature help in understanding the sculpture at sanchi?Q.36Explain it- 50 wards:Hagiography, bhikkus, chaitya, Rigveda, Valu based. page No. 94Rules for monks........Q.1Can you explain why these rules where formed?Q.2In which Buddhist text the rules were written?Chapter 5 4/5 marks.Q.37Write a note on the kitab-ul-Hind?Q.38Discuss Al-Birunis understanding of the caste system?Q.39Analysis the evidence for slavery Provided by Ibn battuta?Q.40What were the elements of the practice of sati that drew the attention of Bernier?41.MAP:Chapter 1 to 4Do practice map work of every chapter at least five times.42.Project:Topic - (a) Town Planning & Artefacts of the Harappan Civilisation.(b) P.P. T - Prepare PPT on Important Events of Mahabharata. POLITICAL SCIENCEProject on the topic “Globalisation”To learn chapters 1 to 4 from the book “Contemporary world politics”.What was the task of the States Reorganization Commission? What was its most salient recommendations?Do you think congress was a true coalition of all sections and communities? How did it help in domination? Elucidate?What was the Green Revolution? Mention two positive and two negative consequences of the Green Revolution.What has been India’s nuclear policy? How has it been influenced by shifting alliances in world politics? PHYSICSELECTROSTATICS (Question Paper 1) MM35 TIME 90 MINUTESGENERAL INSTRUCTIONSALL QUESTIONS ARE COMPULSORY What is the geometrical shape of equipotential surface due to a single isolated charge? 1 A charge 'q' is placed at the centre of a cube of side l. What is the electric flux passing through each face of the cube? 13 An electric dipole of length 4 cm, when placed with its axis making an angle of 60° with a uniform electric field, experiences a torque of Nm. Calculate the potential energy of the dipole, if it has charge ±8 nC. 2 4 A test charge ‘q’ is moved without acceleration from A to C along the path from A to B and then from B to C in electric field E as shown in the figure, Calculate the potential difference between A and C. At which point (of the two) is the electric potential more and why? 20574002095500 25 Plot a graph showing the variation of Coulomb force (F) versus where r is the distance between the two charges of each pair of charges: (1 μC, 2 μC) and (2 μC, - 3 μC). Interpret the graphs obtained. 26 find expressions for force and torque on electric dipole kept in a uniform electric field . 37State Gauss’s theorem. Apply this theorem to derive an expression for the electric field intensity at a point near an infinitely long, thin uniformly charged straight wire.3 8 Using Gauss’s theorem, show mathematically that for any point outside the shell, the field due to a uniformly charged thin shell is the same as if the entire charge of the shell is concentrated at the centre. Why do you expect the electric field inside the shell to be zero according to this theorem? 3 9 Obtain an expression for capacitance of a parallel plate capacitor when a dielectric slab of dielectric constant K and thickness t=d/2 but of same area as that of the plates is inserted between the capacitor plates. (d is the separation between the plates) 310 Derive an expression for the electric potential due to an electric dipole at any point on the axial line. 311 A hollow cylindrical box of length 1 m and area of cross-section 25 cm2 is placed in a three dimensional coordinate system as shown in the figure. The electric field in the region is given by E=50 xi , where E is in NC – 1 and x is in metres. Find Net flux through the cylinder. 138684021907500Charge enclosed by the cylinder. 3 OR213360038036500 A network of four capacitors each of 12 μF capacitance is connected to a 500 V supply as shown in the figure. Determine (a) equivalent capacitance of the network and (b) charge on each capacitor. [3 12 While travelling back to his residence in the car, Dr. Pathak was caught up in a thunderstorm. It became very dark. He stopped driving the car and waited for thunderstorm to stop. Suddenly he noticed a child walking alone on the road. He asked the boy to come inside the car till the thunderstorm stopped. Dr. Pathak dropped the boy at his residence. The boy insisted that Dr. Pathak should meet his parents. The parents expressed their gratitude to Dr. Pathak for his concern for safety of the child. Answer the following questions based on the above information: Why is it safer to sit inside a car during a thunderstorm? Which two values are displayed by Dr. Pathak in his actions? Which values are reflected in parents' response to Dr. Pathak? Give an example of a similar action on your part in the past from everyday life. 4 Derive an expression for the energy stored in a parallel plate capacitor. On charging a parallel plate capacitor to potential V, the spacing between the plates is halved, and a dielectric medium of K=10 is introduced between the plates, without disconnecting the d.c source. Explain using suitable expressions, how the (i) capacitance,(ii)electric field and (ii) energy density of the capacitor change. 5 ORDefine electric dipole moment and give its SI unit. Also obtain the expression for electric field intensity at any point on the axial line of electric dipole 3.(b) An electric dipole is held in a uniform electric field. And the The dipole is aligned parallel to the field. Find the work done in rotating it through the angle of 180°. 2 ELECTROSTATICS (Question Paper 2) MM35 TIME 90 MINUTESGENERAL INSTRUCTIONSALL QUESTIONS ARE COMPULSORY1 For any charge configuration, equipotential surface through a point is normal to the electric field." Justify. 12 A charge ‘q’ is placed at the centre of a cube of side l. What is the electric flux passing through two opposite faces of the cube?13 Net capacitance of three identical capacitors in series is 2 μF. What will be their net capacitance if connected in parallel? Find the ratio of energy stored in the two configurations if they are both connected to the same source. 24 Define Electric flux. Writ its S.I. unit. A charge q is enclosed by a spherical surface of radius R. If the radius is reduced to half, how would the electric flux through the surface change? 25 A point charge ‘q’ is placed at O as shown in the figure. Is VP – VQ positive or negative when (i) q >0 ,(ii) q< 0? O _______P____Q Justify your answer.26 Two point charges 4Q and Q are separated by 1m in air. At what point on the line joining the two charges is the electric field intensity is zero? Also calculate the electrostatic potential energy of the system of charges, taking the value of charge, Q= 2 × 10 – 7C. 37 State Gauss’ theorem. Using this theorem obtain the expression for the electric field intensity due to infinite plane sheet of charge of charge density C /m2. 3Explain the underlying principle of working of a parallel plate capacitor. If two similar plates, each of area A having surface charge densities + and - are separated by a distance d in air, write expressions for i) electric field at points between the plates. ii) potential difference between the plates iii) capacitance of capacitor so formed. 3Three capacitors having capacitances 20 ?F, 30 ?F and 40 ?F are connected in series with a 12 V battery. Find the charge on each of the capacitors. How much work has been done by the battery in charging the capacitor? Find the charge supplied by the battery in the arrangement.3OR4004310249555Two capacitors are filled half with dielectrics of dielectric constants k1 and k2 in a manner shown in the figure: (assuming plate area A and distance b/w the plates D) If the net capacitance in the two cases is same, find the relation between k1 and k2. Define electric potential energy of a charge system. Derive expressions for potential energy of a system of two point charges and three point charges .3 Derive an expression for potential energy of a dipole in uniform electric field hence discuss the conditions of stable and unstable equilibrium.312 In a fair a child was troubling his parent and crying for something. On seeing this, a young boy went to the child and said that he would perform a trick with balloons. He took two balloons and inflated them and after rubbing with the sweater he sticks the balloons with walls. The child enjoyed this activity, and stopped crying.Give two values of the young boyHow did the balloons get attracted? Will they repel also?413(a) Show mathematically that electric potential at any point on the equatorial line of an electric dipole is zero. (b) Two point charges 10 × 10 – 8C and – 2 × 10 – 8C are separated by a distance of 60cm in air. (i)Find at what distance from first charge, the electric potential is zero. (ii) Also calculate the electrostatic potential energy of the system. 5OR(a)State coulombs law in vector form.write its two limitations.(b)Sketch the line of forces of(1)positive charge(2)negative charge(3)electric dipole(4)two positive charges(c) what is meant by quantisation of charge .write its cause. Unit-Current Electricity(Question Paper 3)Time 1h 30 min Max. Marks.-35Question 1- 2 one marksQuestion 3- 5 two marksQuestion 6- 11 three marksQuestion 12 four marksQuestion 13 five marksSection-AQ. 1 What is the effect of heating of a conductor on the drift velocity of free electron?Q2. What happens to the power dissipation of the value of electric current passing through a conductor resistance is doubled?Section-BQ3. Write the mathematical relation for the resistivity of a material in terms of relaxation time, number density, mass and charge of charge carriers in it. Explain using the relation ,why the resistivity of a metal increase and that of semiconductor decrease with the rise in temperature.Q4 You are required to select carbon resistor of resistance 47kΩ + 10% from a large collector .What should be the sequence of colour bands used to code it?Q5 Two wires one of manganin and the other of copper have equal length and equal résistance. Which one of these wires will be thicker and why ? Give reason Section-CQ6 A wire of uniform cross-section and length l has a resistance of 16Ω it cut into four four equal parts. Each part is stretched uniformly to length l and all four stretched parts are connected in parallel. Calculate the total resistance of the combination. Assume that stretching of wire does not cause any change in the density of its material.Q7 Prove that the current density of metallic conductor is directly proportional to the drift velocity of electron. Or Define the term “drift velocity” of the charge carriers in a conductor. Obtain the expression for the current density in terms of relaxation time.Q.8 For three cells of emf E1, E2 and E3 with internal resistances r1, r2, r3 respectively connected in parallel, obtain an expression for net internal resistance and effective current What would be the maximum current possible if the emf of each cell is E and internal resistance is r each? Q-9. In the meter bridge ,the null point is found at the null point is found at a distance of 40 cm from A, If a resistance of 12 Ω is connected in parallel with S the null point occurs at 50 cm from A . determine the the values of R and S. Q-10 Two cells of emf 1.5V and 2V and internal resistance 1Ω and 2Ω respectively are connected in parallel to pass a current in the same direction through an external resistance of 5Ω.Draw the circuit diagram.Using kirchoff’s ,calculate the current through each branch of the circuit and potential difference across 5Ω resister.Q-11 Three cell are connected in parallel, with their like poles connected together, with wires of negligible resistance. If the emf of the cell are 2V, 1V and 4 V and if their internal resistance are 4 , 3 and 2 ohm respectively, find the current through each cell.Section-DQ-12 Manish and Ranjan lived in unauthorised colony. They found that most people of that colony stole power from transmission lines using hooks they heal read in news paper about different fire accidents caused due to electric short circuits along with some of their friends and some representative of that area they visited house to house of that colony and made people aware of the risks involved in short circuiting .They also explained the people the importance of paying electricity bills. They succeed in changing the mind set of people.What according to you are the value being displaying by Manish and Ranjan. A household circuit has a fuse of 5A rating .Find the maximum number of bulbs of rating 60W-220V.Q-13 (a) State the principle of potentiometer. How can it be used to :(b)draw a circuit diagram Compare e.m.f of two cells. How can sensitivity of potentiometer be increase Write the two possible cause for one sided deflection in the potentiometer. ACCOUNTANCYON next page -1395095top00 Scanner from center-314325GEOGRAPHYQ 1.In the political outline map of the world locate and label the following :-(Separate map is to be used for each and every feature)i)Regions of all Primary activities (Ch. – 5, “Fundamentals of Human Geography)ii)Airports of the world.iii)Sea Ports of the Worldiv)Mega Cities of the world.v)Headquarters of the Regional Trade Block.vi)The largest Country of all the Continent.vii)The most and least populated countries of each continent.Q 2.In the political outline map of India locate and label the following :-(Separate map is to be used for each and every feature)i)The states: - (a)The highest and lowest population density(b)The largest and smallest Area wise.(c)The most and least populous states having the highest and lowest HDI(d)The most and the least rural and urbanized states ii)The HQ of 16 railway zonesiii)Metropolitan citiesiv)Oil refineriesv)International airports and sea portsvi)Software technology parks Q 3.Learn and write the questions answer of Chapter - 1 to 5(Text Book - Fundamentals Human geography)Chapter - 1(Text Book - India)Q 4.Prepare a question bank of very short answers type answer write the answers of every question (Minimum – 25 Questions)Q 5.Prepare a question bank based on the diagram and tables given in the Chapter - 1 to 5(Text Book - Fundamentals Human geography)Chapter - 1(Text Book - India)COMPUTER SCIENCEPrepare a presentation on networking concepts (Chapter – 14).Solve all the questions given chapter -14(solved & unsolved)Download 5 years question papers of CBSE and attempt all the Questions based on constructor, destructors and classes.Learn chapter -14(Networking concept) for class test after summer vacations.Solve the monthly test paper for the month of April and prepare for a class test to be conducted on the basis of the questions included in the monthly RMATICS PRACTICESPrepare a presentation on networking concepts & OPEN STANDARDS (Chapter – 1 & chapter-2).Solve all the questions given chapter -1 and chapter -2(solved & unsolved)Download 5 years question papers of CBSE and attempt all the Questions based on coding in JAVA netbeans.Learn chapter -1 and chapter -2 (Networking concept& Open standards) for class test after summer vacations.Solve the monthly test paper for the month of April and prepare for a class test to be conducted on the basis of the questions included in the monthly test.HINDIBIOLOGYComplete the NCERT exercise of Ch-3 & 4Draw the diagrams given on Pg no. 6 fig .1.3Pg no. 7 fig.1.4Pg no.12 fig.1.6 c & dPg no. 16 fig.1.8Pg no.22 fig.2.3 bPg no.23 Fig 2.5 a & bPg no.25 fig. 2.7 dPg no. 26 fig no. 2.8 cPg no. 34 fig.2.3Pg no.35 Fig 2.14 a&bPg no.37 fig. 2.5 aPg 43 fig.3.1 bPg 45 fig.3.3 bPg 46 fig.3.4 aPg 47 , 48 , 49 fig 3.5 , 3.6 ,3.7Pg 52 fig.3.11 ................
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