क न द र य व द य लय ब रह नप र ग र ष मक ल न अ क श ग हक यय २०१८ /२०१९

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1 कक ष -१२ व षय हह द क न द र य व द य लय ब रह नप र ग र ष मक ल न अ क श ग हक यय २०१८ /२०१९ ददन क ५/५/२०१८ स २०/६/२०१८ तक १ } वनब ध ल खन १ ] य प ढ़ और द श क भव ष य २] भ रत क र ष ट र य एकत ३] मन क ह र ह र ह मन क ज त ज त २ } पत र ल खन १ ] औपच ररक और अन पच ररक पत र वलख त न त न ३ } आल ख ल खन १ ] आख द ख द र यटन पर २ ] बढत आब द एक समस य ४ } फ चर - ल खन १ ] ग म ह त बचपन २ ] आज क वशक ष क बदलत स र प ३ ] म ब इल स व ध य अस व ध ५ } वसल र ह ग प ठ क सम क ष त मक ल खन अपन शब द म कर

2 CLASS XII SUBJECT-CHEMISTRY HOMEWORK- THE SOLID STATE 1.What is meant by the term forbidden zone in reference to band theory of solids? 2. Crystalline solids are anisotropic in nature. What does this statement means? 3.Write a feature which will distinguish a metallic solid from a ionic solid. 4.Express the relationship between atomic radius(r) and the edge length(a) in the b.c.c. unit cell. 5.What is a semi-conductor?describe the two main types of semiconductors and contrast their conduction mechanism. 6.Explain the following with suitable example: (a)ferromagnetism (b)ferrimagnetism 7.Define unit cell and coordination number in relation to crystalline solids. 8.Iron has a body centered cubic unit cell with a cell dimension of pm. The density of iron is 7.874g/cm3. Use this information to calculate Avogadro s number.(at. Mass of Fe= u) 9. Silver crystallizes with face centered cubic unit cell. Each side of this unit cell has a length of 409pm. What is the radius of silver atom? Assume the atoms just touch each other on the diagonal across the face of the unit cell. 10.Tungsten crystallizes in body centered cubic unit cell. If the edge length of the unit cell is 316.5pm, what is the radius of tungsten atom? 11.Calculate the distance between Na+ and Cl-ions in NaCl crystal if its density is 2.165gcm-3 (Molar mass of NaCl=58.5g mol; NA= X 1023) 12.A element has a body centered cubic(bcc) structure with a cell edge of 288pm. The density of the element is 7.2g/cm3. How many atoms are present in 208g of the element?

3 CLASS -12 BIOLOGY 1) An anther with malfunctioning tapetum often fails to produce viable gametophytes. Give any one reason. 2) Explain the steps that ensure cross pollination in an autogamous flower. 3) When and where do chorionic Villi appear in humans? State their Function. 4) Draw the following diagrams related to human reproduction & label them. a) The zygote after the first cleavage division. b) Morula stage c) Blastocyst stage. 5) a) Describe the events of oogenesis with the help of schematic representation. b) Difference between oogenesis & Spermatogensis. c) Draw a diagram of mature embryosac d) Write the kate of egg cell & polar nuclei after fertilization. 6) a) Explain Menstrual cycle. Describe the roles of pituitary & ovarian harmones during menstrual cycle in human female. b) Why is follicular phase in the menstrual cycle also referred as proliferative phase? Explain. c) Explain the events that occur in a graffian follicle at the time of ovulation & thereafter. d) Draw a graffian follicle & label antrum & secondary oocyfe. e) A proper understanding of menstrual cycle can help immensely in family planning. Do you agree with statement? Provide reason for your answer. 7) a) Mention the problems that are take care of by reproductive & child health care programme. b) What is amniocentesis & why there is a statutory ban on it. 8)a) Name the organic material exine of the pollen grain is made up of. How is this material advantageous to pollen grain. b) Still it is observed that it does not form a continuous layer around the pollen grain. Give reason. c) How are pollen bank useful? 9) Draw a diagram of section of a megasperangium of an angiosperm. 10) a) When a seed of an orange is squeezed, many enbryos instead of one are observed. Explain how it is possible. b) Are these embryos genetically similar or different? Comment.

4 KENDRIYA VIDYALAYA BURHANPUR HOLIDAY HOME WORK (SUMMER VACATION) CLASS:-XII SUBJECT:- ENGLISH 1 Write daily news headlines with their photograph (paste photos). 2 Write six stories with hints and moral. 3 Write sixty verbs with their three forms (V1, V2,V3). 4 Write three formal letters and three informal letters. 5 Write an article on the following topic: (1) Celebrating a road safety week. (2) Saving electricity.. (3) Fast food and health hazards. (4) Problems of slum in our city. (5) The future of IT. (6) Any one topic (which you like the best. 6. Write questions and answers of the lessons taught till today.(two times) KENDRIYA VIDYALAYA BURHANPUR ASSIGNMENT WORK FOR SUMMER VACATION CLASS :- XIIA SUBJECT:-MATHEMATICS CHAPTER :-1 RELATIONS AND FUNCTIONS 1 On the set {0, 1, 2, 3, 4, 5, 6}, a binary operation * is defined as :a b = { a + b if a + b < 7 a + b 7 if a + b 7 Write the operation table of the operation * and prove that zero is the identity for this operation and each element a 0 of the set is invertible with 7 a being the inverse of a. 2 Let A = { 1, 0, 1, 2}, B = { 4, 2, 0, 2} and f, g : A B be functions defined by f(x) = x 2 x, x A and g(x) = 2 x 1/2 1,x A.Find gof (x) and hence show that f = g = gof. 3 Consider f: R + [ 9, [ given by f(x) = 5x 2 + 6x 9. Prove that f is invertible with f 1 (y) = 54+5y A binary operation * is defined on the set x = R { 1 } by x * y = x + y + xy, x, y X. Check whether * is commutative and associative. Find its identity element and also find the inverse of each element of X.

5 5 If the function f : R R be defined by f(x) = 2x 3 and g : R R by g(x) = x 3 + 5, then find the value of (fog) -1 (x). 6 Let A = Q Q, where Q is the set of all rational numbers, and * be a binary operation defined on A by (a, b) * (c, d) = (ac, b + ad), for all (a, b) (c, d) A. Find (i) the identity element in A. (ii) the invertible element of A. CHAPTER :-2 INVERSE TRIGONOMETRIC FUNCTIONS 7 If tan 1 a + tan 1 b + tan 1 c = then prove that a + b + c = abc. 8 Prove that tan -1 [(a b)/(1+ab)] + tan -1 [(b c)/(1+bc)] + tan -1 [(c a)/(1+ca)] = 0, a,b,c> 0. 9 Prove that tan -1 [(a cosx b sinx)/(acosx + bsinx)] = tan -1 (a/b) x. 10 Solve for x, cos -1 [(x 2-1) / (x 2 + 1)] + (1/2) tan -1 [(-2x) / (1-x 2 )] = 2 CHAPTER :-3 MATRICES Find the inverse of matrix A =[ 2 3 2] by using elementary operations Express A = [ 4 5 3] as the sum of symmetric and skew 2 4 symmetric matrix If A = [ cosα sinα sinα cosα ], find α satisfiying 0 < α < π when A + 2 AT = 2 I2. 14 If A = [ cosθ sinθ sinθ cosθ ] then prove that cos nθ sin nθ An = [ sin nθ cos nθ ] n N If A=[ 3 2 1] then show that A 3 23A 40 I3 = O CHAPTER :-4 DETERMINANT 16 The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some other (say z) for supervising the workers to keep the colony neat and clean. The sum of all the awardees is 12.Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. If the sum of the number of awardees for honesty and supervision is twice the number of awardees for helping others. Using matrix method, find the number of awardees of each category.apart from these values, namely honesty, cooperation and supervision suggest one more value which the management of the colony must include for award. 17 x x px 3 Using properties of determinants, prove that : y y py 3 = (1 + pxyz)(x z z pz 3 18 y)(y-z)(z-x). a b c If a,b and c are all positive and dinstict,show that = b c a has a negative value. c a b

6 19 a a + b a + 2b Using properties of determinants, prove that : a + 2b a a + b = a + b a + 2b a 9b 2 (a + b) 20 Using properties of determinants, solve the following for x : x 2 2x 3 3x 4 x 4 2x 9 3x 16 = 0. x 8 2x 27 3x 64 PHYSICS HOLIDAY HOMEWORK 1. If E = 5i + 3j + 2k units, Calculate the electric flux through a surface of area 40 units in Y-Z plane. 2. Calculate Coulomb force between two alpha particles separated by a distance of m in vacuum. 3. By what factor the capacitance of a metal sphere increase if its volume is made 27 times? 4. A conductor of length L is connected to a dc source of potential difference V. If length is doubled by keeping V constant, how is the drift speed be affected? 5. A battery of emf 3V and internal resistance 0.2 Ω is being charged by a current of 6 A. What is the potential difference between the terminals of the battery? 6. Two wires A and B of same material have their lengths in the ratio 1:5 and diameters in the ratio 3:2. If the resistance of the wire B is 180Ω, find the resistance of wire A. 7. Two small charged spheres A and B have charges 10 µc and 40 µc respectively, held at 90 cm from each other. At what distance from A, E will be zero? 8. State and prove Gauss Law in Electrostatics. 9. Three charges each equal to q are placed at the three corners of a square of side a. Find the electric field at the fourth corner. 10. The force experienced by a unit charge when placed at a distance of 0.10 m from the middle of an electric dipole on its axial line is N. When it is placed at a distance of 0.2 m, the force becomes N. Calculate the dipole length ( It s not negligible compared to the distance involved). 11. Define an electric line of force. Draw its sketch for an electric dipole. State any of its two properties. 12. An electric dipole of length 2cm is placed with its axis making an angle of 60 0 to a uniform electric field of 10 5 N/C. If it experiences a torque of 8 3 Nm, calculate a) magnitude of each charge comprising the dipole b) potential energy of dipole. 13. Derive an expression for the Electric potential at an arbitrary point due to an electric dipole. Hence discuss the axial and equatorial case.

7 14. Two capacitors C1 and C2 charged to V1 and V2 respectively and then connected in parallel. Calculate the common potential across the combination, the electrostatic energy stored in the system and the change in the electrostatic energy from its initial value. 15. Derive a relation between electric current and drift velocity. Hence deduce Ohm s Law. Hence obtain the expression for resistivity in terms of number density of free electrons and relaxation time. 16. Define mobility of a charge carrier. A potential difference of 6V is applied across a conductor of length 0.12 m. Calculate the drift speed of electrons if the electron mobility is m 2 V -1 s Observe the circuit and find R and potential difference between A and B: 18. State the principle of a Potentiometer. Explain with a circuit diagram how it can be used to compare the emfs of two primary cells. 19. A potentiometer wire of length 100 cm has a resistance of 10 Ω. It is connected in series with an external resistor R and a battery of 2 V of negligible internal resistance. A source of 10 mv is balanced against a length of 40 cm of the potentiometer wire. Find the value of R. 20. a) A current of 2 ma passed through a color coded carbon resistor of yellow, green and orange colors respectively. Calculate the voltage drop. b ) Write the dimensional formula for Resistance. A cylindrical wire is stretched to increase its length by 10%. Calculate % increase in resistance. 21. a) Without using Gauss Law, obtain the expression for electric field at a point at distance y from an infinite long straight charged wire having linear charge density λ. b ) Use Gauss Law to find Electric field at a point near uniformly charged infinite plane sheet. 22. a) Derive an expression for electrostatic potential energy of a system of two charges. b ) Two charges 5 nc and 2 nc are placed at ( 2 cm, 0, 0) and ( y cm, 0, 0 ) in a region with no external electric field. If U = 0.5 µj for the system, Find y. R. c ) Write the formula for capacitance of a spherical capacitor of radius

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