Jh Venkateshwar International School Sector-18, Dwarka, New Delhi-78 Holiday Homework Worksheet ( ) CLASS-XI

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1 Jh Venkateshwar International School Sector-18, Dwarka, New Delhi-78 Holiday Homework Worksheet ( ) CLASS-XI ENGLISH Section A Writing Q.1 Schools have been closed due to excessive air-pollution. Prepare a poster to bring out awareness for a clean environment. Q.2 On behalf of your parents draft a formal invitation to be sent to your friends and relatives on the occasion of their fiftieth wedding anniversary. Q.3 As the Principal of a reputed college, you have been invited to inaugurate a book exhibition in your neighbourhood. Draft a reply to the invitation in not more than 50 words, expressing your inability to attend the function. Section B Literature Q.4 In the poem Childhood written by Markus Nathen, the poet found adults hypocrites. Justify the statement. ( words) Q.5 How does the end of the play justify the title Mother s Day? ( words) Q.6 We have not inherited this earth from our forefathers; we have borrowed it from our children. Justify this statement with reference to the article The Ailing Planet: The Green Movement s Role written by Nani Palkhivala. ( words) Note: Revise Integrated Grammar and Note Making exercises from SLM. MATHEMATICS STRAIGHT LINES 1. Find the slope of the line, which makes an angle of 30 with the positive direction of y-axis measured anticlockwise. 2. The slope of a line is double of the slope of another line and the tangent of the angle between them is given as 1/ 3, find the slope of the lines. 3. The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle. 4. Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and ( 1, 1) are the vertices of a right angled triangle. 5. Find the equation of the straight line which makes an angle of 15 0 with the positive direction of x-axis & which cuts an intercept of length 4 on the negative direction of y-axis. 6. Find the equation of line which cuts off an intercept 4 from the x-axis and makes an angle of 30 0 with the y-axis. 1

2 7. Find the equation of the straight line which passes through the point (1, 2) and makes an angle θ with the positive direction of x-axis where cosθ = 1/3. 8. The length L (in centimetrs) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if L = when C = 20 and L = when C = 110, express L in terms of C. 9. A line through the point A (2, 0) which makes an angle of 30 0 with the positive direction of x - axis is rotated about A in clockwise direction through an angle Find the equation of straight line in the new position. 10. Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and 6, respectively. 11. Find the equation of the line passing through the point of intersection of the lines 4x + 7y 3 = 0 and 2x 3y + 1 = 0 that has equal intercepts on the axes. 12. Find the equation of the straight line (s) which cut off an intercept 4 from the y-axis and are equally inclined to the axes. 13. Find the equation of line through (3, 4) and parallel to the line y = 3x Find the equation of the straight line passing through the point (2, 3) and perpendicular to the line 4x - 3y - 10 = Find the area of the triangle formed by the lines y x = 0, x + y = 0 and x k = Find the image of the point ( 8, 12) with respect to the line mirror 4x + 7y + 13 = Find the angle between the lines y - 3 x 5 = 0 and 3 y - x + 6 = Find the distance between the lines 15x + 8y - 34 = 0 and 15x + 8y + 31 = Find the values of θ and p, if the equation x cos θ + y sinθ = p is the normal form of the line 3 x + y +2 = At what point the origin be shifted, if the coordinates of a point (4, 5) becomes ( 3, 9)? PHYSICS MECHANICS OF FLUIDS Q. 1. A swimmer is swimming at a depth of 10m inside water. Calculate the absolute and gauge pressure that he will experience. Q. 2. A trough is filled with mercury and a pipe is immersed in it such that mercury rises in the pipe. Find the height upto which mercury rises. Q. 3. In a hydraulic press, the area of wider piston in 10m and that of the smaller piston is 10cm. A force of 100N is applied on the smaller piston. Find the force that the wider piston will exert Q. 4. In a hydraulic lift with A=10m and a = 1cm, a car of 1000Kg is kept on the bigger piston. Find the weight that should be kept on the smaller piston to lift the car. Q. 5. Show that a cylinder whose density is greater than that of water will never float in water. 2

3 Q. 6. A cylinder of radius 10cm, length 10m and density 500Kg/m is floating in water. Find a) Height of cylinder inside water b) Volume of cylinder inside water c) Up thrust acting on the cylinder d) Buoyant force acting on the cylinder e) Apparent weight Q. 7. A film of soap solution is extended from 10*10cm to 20*20cm. The surface tension of the solution is 50 dynes/cm. Find the amount of work done in this process and the surface energy of the film. Q. 8. A cube of side 10cm is floating in a liquid of density 2gm/cc. The mass of the cube is 1000gms. Find the height of the cube outside water. How much force should be applied on top of the cube so as to fully immerse it. Q. 9. Explain the following a) Pascal's law b) Hydrostatic paradox c) Archimedes principle d) Reynolds number e) Stoke's law Q. 10. An oil drop is put on the surface of cold water. Explain what will happen. Also explain what would have happened had the water been hot. Q. 11. Explain Bernoulli s principle and derive the corresponding Bernoulli s equation. Q. 12. Briefly explain the cleansing action of detergents Q. 13. What is viscosity? A metal plate of area 5m2 rests on a liquid film of thickness 5mm. A force of 100N pulls the plate and it moves with a constant velocity of 2m/s. Find the coefficient of viscosity of the liquid. Q. 14. Water is stored in an overhead tank at a height of 10m. Find the velocity of water coming out of a tap located at the ground level. Q. 15. State the units and dimensions of the following quantities a) Coefficient of viscosity b) Reynold number c) Surface Tension d) Pressure e) Density 3

4 CHEMISTRY THERMODYANAMICS 1) Why internal energy is a state function but work is not? 2) What is an adiabatic process? Give example. 3) What is first Law of thermodynamics? Give its mathematical representations. 4) Under what condition H becomes equal to U? 5) Derive the relation of work done for a reversible process at constant temperature. 6) List the important sign conventions for heat & work. 7) What are extensive & intensive properties? Give two egs of each. 8) Calculate the standard internal energy change for the reaction at 25 0 C:- C 2 H 4 (g) + 3O 2 (g) CO 2 (g) + 2H 2 O (l) H for C 2 H 4 (g) = kj/mole, CO 2 = kj/mole H 2 O = kj/mole R = J/K/mole. 9) Calculate the enthalpy of combustion of ethylene to form CO 2 &H 2 O(g) at 298K & 1 atm pressure. Theenthalpies of formation of CO 2, H 2 O & C 2 H 4 are 3937, , kj/mole respectively. 10) Calculate the bond enthalpy of HCl. Given that the bond enthalpies of H 2 & Cl 2 are 430 kj/mole & 242 kj/mole respectively & H f for HCl is -91 kj/mole. 11) Find the entropy change involved in conversion of 1 mole of solid ice at 273K to liquid water at the same temperature (latent heat of fusion = 6025J/mole). 12) Calculate the equilibrium constant K for the reaction at 400K. 2NOCl (g) NO(g) + Cl 2 (g) Given that r H 0 = 80 K J /mole r S 0 = 120 K J/mole at 400 K 13) The standard free energy change for a reaction is kj/mole. If the standard enthalpy change is kj/mole. Calculate the standard entropy change at 298K. 14) H & S of a chemical reaction are kj/mole& J/K/mole respectively. Find free energychange at 27 0 C & also predict the feasibility of the reaction. 15) How is Gibbs free energy related to enthalpy, entropy & temperature of a system? How is this used indetermining the spontaneity of a process? 16) Illustrate the following with suitable examples:- a) Enthalpy atomization b) Enthalpy of combustion c) Bond Energy d) Enthalpy of solution e) Lattice enthalpy 4

5 BIOLOGY 1. It is observed that deficiency of a particular element showed its symptoms initially in older leaves and then in younger leaves. (i) Does it indicate that the element is actively mobilized or relatively immobile? (ii) Name two elements that are highly mobile and two which are relatively immobile. (iii) How is the aspect of mobility of elements important to horticulture and agriculture? 2. We find that Rhizobium forms nodules on the roots of leguminous plants. Also, Frankia forms nitrogen fixing nodules on the roots of non-leguminous plant Alnus. (i) What kind of relationship is exhibited in the above? How is it exhibited? (ii) Explain how Rhizobium forms root nodules in leguminous plants. (iii) State the net chemical equation for nitrogen fixation. 3. Hydroponics has been a very successful technique for growing crop plants. Explain this technique in detail. 4. What are the essential elements for plants? How is the essentiality of an element determined? Explain the criteria. 5. A farmer adds Na, Ca, Mg and Fe regularly to his field and yet he observes that the plants show deficiency of Ca, Mg and Fe. Give a valid reason and suggest a way to help the farmer improve the growth of plants. 6. What can we conclude from the statement that the action and absorption spectrum of photosynthesis overlap? At which wavelength do they show peaks and why? 7. Why is RuBisCo enzyme more appropriately called RuBP Carboxylase Oxygenase? What important role does it play in photosynthesis? Explain the difference between C3 and C4 plants in relation to the above. 8. Draw a schematic representation of the following: (i) Calvin Cycle (ii) Hatch and Slack Pathway 9. State 3 differences between: (i) Light reaction and Dark Reaction (ii) Cyclic and Non-cyclic Photophosphorylation 10. Who gave the Chemiosmotic hypothesis? Explain the process of photophosphorylation as described by it. 5

6 Practice the following questions : ECONOMICS Chapter -10 Measures of Dispersion Q1. Calculate range and its coefficient from the following data on marks obtained by 7 students. 10, 14, 18, 22, 45, 60, 65 Q2. The following are the prices of shares of ABC company Ltd., from Monday to Friday. Calculate range and its coefficient. Days Monday Tuesday Wednesday Thursday Friday Price ( ) Q3. From the data given on wages, find range and its coefficient. Wages No. of workers Q4. Find range and its coefficient using the data given below. Marks No. of students Q5. Find inter-quartile range, quartile deviation and coefficient of quartile deviation from the following data: 30, 31, 40, 35, 47, 44, 42, 48, 50, 55, 56 Q6. Find out quartile deviation and its coefficient from the following data: Roll no Marks Q7. Calculate inter-quartile range, quartile deviation and coefficient of quartile deviation from the following data. Marks Number of students Q8. Find out inter-quartile range, quartile deviation and coefficient of quartile deviation from the following information on wages and number of workers. Wages No. of workers Q9. Compute Quartile deviation and its coefficient from the following data. X f Q10. Calculate mean deviation and its coefficient from the following data. (use mean). X F Q11. Calculate mean deviation and its coefficient from the following data (use median). X f Q12. Calculate mean deviation and its co-efficient from the following data using arithmetic mean: X f Q13. Calculate mean deviation and its coefficient from median. Marks No. of students Q14. Calculate mean deviation and its coefficient using (i) Arithmetic mean (ii) Median. X F

7 Q15. Calculate standard deviation (use direct method and short cut method) and its coefficient from the following data. X f Q1 Write the answers to following questions: MULTIMEDIA WEB TECHNOLOGY 1. Write about following operators: a. Relational b. Arithmetic c. Logical d. Conditional e. Increment f. Compound assignment 2. Explain the purpose of following statements in Javascript a. alert() b. prompt() c. confirm() 3. Explain the two selection statements in Javascript. Also write their syntax 4. What is the purpose of default and break statement in switch case. Explain with the help of an example. 5. Write a Javascript program to accept a number and check if it is divisible by 3 or not. COMPUTER SCIENCE Assignment on functions and arrays 1. Write a c++ program to accept two numbers and print all the prime numbers between the two numbers. 2. Write a function in C++ which accepts an integer array and its size as arguments and replaces elements having even values with its half and elements having odd values with twice its value 3. Write a function in C++, which accepts an integer array and its size as arameters and rearranges the array in reverse. 4. Write a function in C++, which accepts an integer array and its size as arguments and swap the elements of every even location with its following odd location. 5. Write a function in C++ which accepts a 2D array of integers and its size as arguments and displays the elements which lie on diagonals. [Assuming the 2D Array to be a square matrix with odd dimension i.e., 3x3, 5x5,7x7 etc ] 7