Class XI

31 Pages·2012·0.99 MB·English

NEW ERA PUBLIC SCHOOL
Holiday Homework (2017-18)
Class: XI
Subject: English
Q1.Write a review of Tuesdays with Morrie by Mitch Albom. Include the following:
• Author’s Page
• Discuss the impact of ALS on Professor Morrie
• Professor’s Morrie’s response to the disease
• Problem with self-pity( Explain in context of Professor Morrie and your life)
• “Life is about getting the best out of the present moment”. Discuss in context of the
text.
• What did you learn from Professor Morrie’s curriculum? Elaborate.
Q2. Research on the state of elderly in India. Based on your research discuss the
following issues:
• Plight of old people in India. Support your arguments with facts.
• Reasons for their neglect.
• Measures taken by theold age homes to support the elderly.
• A case studyof severed relationship between parents and children.
Note-Q1 & Q2 to be done on A4 size sheets and submitted in separate files.
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NEW ERA PUBLIC SCHOOL
Holiday Homework (2017-18)
Class: XI
Subject:Mathematics
Topic: Sequences And Series
1) Writethe first four terms of the sequence given by
a) an = 4 n² + 3 b) an = n (n – 2) /( n + 3) c) an = ( n² + 1) / (2n – 3)
2) If for a sequence, Sn = 2 (3n – 1), find its first four terms.
3) Which term of the A.P. -1, -5/6, -2/3, ……………… is 10/3?
4) Which term of the sequence, 5, 2, -1 ,……………….. is -55?
5) Find the sum of first n odd natural numbers.
6) Find the sum of the series 2/9 + 1/3 + ½ +………………….+ 81/32.
7) The first and the last term of an A.P. are 1 and 11. If the sum of these terms is 36, find the
number of terms in the A.P.
8) The third and the seventh term of an A.P. are 12 and 24 respectively. Find its 10thterm.
9) The third, sixth and the last term of a G.P. are 6, 48 and 3072. Find its first term and the
common ratio.
10)The sum of four numbers in an A.P. is 24 and the product of the squares of extremes is
729. Find the numbers.
11)The sum of first two terms of a G.P. is (-4) and the fifth term is 4 times the third term.
Find the G.P.
12)The fourth term of an A.P. is equal to 3 times its first term and the seventh term exceeds
twice the third term by 1. Find the first term and the common difference of the A.P.
13)Find the sum of all the two digit numbers.
14)Find the fifth term from the end of the sequence, -5, -2, 1, 4 , …………….85.
15)Find the 8th term from the end of the sequence, 2, 6, 18 ,……………….39366.
16)Find the sum of first 19 terms of an A.P. whose nth term is 2n + 1.
17)Find the sum of all the natural numbers between 100 and 300 which are divisible by 5.
18)The sum of first 15 terms of an A.P. is 105 and the sum of next 15 terms is 780.
Find the A.P.
19)Find three numbers in A.P. whose sum is 21 and product is 315.
20)Find three numbers in G.P. whose sum is 19 and product is 216.
21)Find three numbers in G.P. whose sum is 21 and the sum of whose squares is 189.
22)Find the sum of first five terms of the sequence 3, 6, 12……………….
23)Find the sum of the series 1 – ½ + ¼ -1/8 + ………………upto 8 terms.
24)Find the sum of the series 1+ 1/3 + 1/9 + 1/27 + …………… to infinity.
25)The common ratio of a G.P. is ( -4/5) and the sum to infinity is 80/9. Find its first term.
26)Find the sum of the following series:
i. 1² + 3² + 5² +……………………..to n terms.
ii. 1 + 3 + 7 + 15 + 31 +…………………..to n terms.
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iii. + +………………to n terms.
iv. 2 x 5 + 5x 8 + 8 x 11 + ………………to n terms.
∗ ∗ + ∗
v. 1² + 4² + 7² +……………………..to n terms.
vi. 1 x 3 x 5 + 2 x 4 x 6 + 3 x 5 x 7 +…………….to n terms.
vii. 6 + 9 + 16 + 27 + 42 +………………………to n terms.
27)Find the nth term of the series 1 + 1/ (1+2) + 1 / (1+2+3) +……………..Also find the sum
of first terms.
28)Divide 20 into four parts which form an A.P. such that the product of the first and the
fourth term bears a ratio 2:3 to the product of the second and the third term.
29)Find the sum of the series (10)³ + (11)³ + …………………….+ (20)³ .
30)Find the sum to n term of the series whose nth term is
i. n (n+1) (n + 3)
ii. n² -2n + 2 + 2n
Topic: Sets
1. If A={1,2,3,4,5,}, B = {4,5,6,7,8} ,C ={7,8,9,10,11}, find
(i)AUB (ii) BU C (iii) (AU B)UC (iv)(AU B)∩C
2. If A = {a,b,c,d,e}, B ={a,c,e,g} and C = {b,e,f ,g}, find
(i)A∩(B-C) (ii) A-(BU C) (iii)A-(B∩ C)
3. If U={1,2,3,4,5,6,7,8,9}, A= {1,2,3,4}, B ={2,4,6,8} and C ={1,4,5,6}, find
(i)A' (ii)(B')' (iii) (AU B)' (iv) (A∩B)'
4. If A and B are two sets such that n(A) =37,n(B) =26 and n(AUB) =51,find n(A∩B).
5. If A and B are two sets such that n(A) =24, n(B) =22, n(A∩ B) =8,find
(i)n(AU B) (ii) n(A-B) (iii)n(B-A)
6. In acommittee of 30 members, 50 people speak Hindi, 20 speak English and 10 speak
both Hindi and English. How many speak at least one of these two?
7. In a group of 50 students, 30 like tea, 25like coffee and 16 like both. How many like
(i) Either tea or coffee (ii) Neither tea nor coffee
8. In a group of 40 students, 26 take samosa,18 take burger and 8 take neither of the two.
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How many take both samosa and burger? Is taking samosa and burger good for health?
9. There are 2000 students in a school. Out ofthese 1000 play cricket, 600 play basketball
and 550 play football, 120 play cricket and basketball, 80 play basketball and football
and 150 play cricket and football and 45 play all the three games. How many students
play none of the games?
10. Write down all possible subsets of each of the following sets:
(i){a} (ii) {0,1} (iii) {a,b,c} (iv) {1,{1}}
11. Write down all possible proper subsets of each of the following sets:
(i){1,2} (ii) {1,2,3} (iii) {1}
12. A survey shows that 76% of the Indians like oranges whereas 62% like bananas.
What percentage of the Indians like both oranges and bananas?
13. In a survey of 700 students in a college,180 were listed as drinking Limca, 275 as
drinking Miranda and 95 were listed drinkingboth Limca as well as Miranda. Find
how many students were drinking neither Limca nor Miranda.
14. Out of 500 car owners investigated, 400 owned Maruti car and 200 owned Hyundai
car and 50 owned both the cars. Is this data sufficient?
15. There are 40 students in a Chemistry class and 60 students in a Physics class. Find the
number of students who areeither in Physics class or Chemistry class in the following cases:
(i) The two classes meet at the same hour.
(ii) The two classes meet at different hours and 20 students are enrolled in
both the subjects.
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Topic: Mathematical Induction
1. Using the principle of mathematical induction,prove each of the following for all n N:
(i) 1+3+5+7+…………….+(2n-1) = n2.
€
(ii) 12+ 32 + 52 +…………+(2n -1 )2 =
( )( )
(iii) n(n+1)(n+2) is a multiple of 6.
(iv) + + +………..+ =
× × × ( )( )
2. Prove by principle of mathematical induction that for all nЄ N,n2 + n is even natural
number.
3. Using principle of mathematical induction,prove that
(i) 41n – 14nis a multiple of 27.
(ii) 7n – 3nis divisible by 4
(iii)10n+ 3.4n+2+ 5 is divisible by 9.
Topic: Mathematical Reasoning
1. Rewrite the followingstatement with “if-then” in five different ways conveying the same
meaning: “If a natural number is odd then its square is also odd.”
2. Identify the quantifier in each of the following statements:
(i) For every real number x,x+4 is greater than x.
(ii) There exists a real number which is twice itself .
3. Write the negation of each of the following statements:
(i) For every real number x, x + 0 = x = 0 + x
(ii) For every real number x,x is less than x+1.
(iii)There exists a capital for every state in India.
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NEW ERA PUBLIC SCHOOL
Holiday Homework (2017-18)
Class:XI
Subject: Chemistry
General Instructions:-
1. Do the given assignment in the class-work or assignment notebook.
2.A copy ofthe assignment should also be pasted.
Chapter 1 –Some Basic Concepts of Chemistry
Q1)1.6 g of a hydrocarbon on complete combustion gave 4.4 g of CO and 3.6g of H O.
2 2
Show that this data proves law of conservation of mass.
Q2)2.16g of copper metal when treated with nitric acid followed by ignition of the nitrate
gave2.7 g of CuO. In another experiment 1.15g of copper oxide upon reduction with
hydrogen gave 0.92 g of copper. Show that the above data illustrates the law of definite
proportion.
Q3)3.2 g of sulphur combines with 3.2 g of oxygen to form compound in one set of
conditions. In another set 0.8g of sulphur combines with 1.2 g of oxygen to form another
compound. State the law illustrated by the chemical combination.
Q4)Cu gives two oxides. On heating 1 g of each in hydrogen theygave 0.888 g of0.799 g of
the metal respectively. Show that these results agree with law of multiple proportions.
Q5)Which of the following weighs the most:
(i) 50g of Fe (ii) 5g atoms of nitrogen (iii) 1x1023 atoms of carbon?
Q6)Calculate the amount present in grams in:
(a)0.75gatoms of sulphur (b)2.5 g atom of phosphorus.
Q7)Calculate the number of molecules present in 280 mLof oxygen at STP.
Q8)Calculate the no. of molecules in a drop of water weighing 0.05 g.
Q9)3 g of H reacts with 24 g of O to form H O.
2 2 2
(i)Which is the limiting agent?
(ii)Calculatethe maximum amount of H O that can be formed.
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(iii)Calculate the amount of the reactant is left unreacted.
Q10)What mass of slaked lime would be required to decompose completely 4 g of NH Cl
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and what would be the mass of each product?
Q11)A solution is prepared by dissolving 18.25 g of NaOH in distilled water to give 200 cm3
of the solution. Calculate the molarity.
Q12)Concentrated aqueous sulphuric acid is 98% pure by mass and has a density1.84 g/cm3.
What volume of concentrated acid is required to make 5 Lof 0.5M H SO solution?
2 4
Q13)How many moles and grams of NaCl are there in 250 cm3 of a 0.5M NaCl solution?
Q14)0.1931 g ofdiamond gave 0.704 g of carbon dioxide on complete combustion.
Calculate the percentage purity of diamond.
Q15)Calculate the empirical and molecular formula for thefollowing:
(i)C -34.6%, H-3.84% & O-61.56% (Molecular Mass –104u)
(ii)54.2%ofC, 9.2%of H, 36.6%ofO (Molecular Mass –88u)
Q16)Solution A contains 10g of glucose dissolved in 250 mL water and solution B contains
30g of sugar dissolved in 500 mL water. Compare their molarities.
Q17)A commercially available sample of H SO is 15%H SO by wt. (density = 1.10
2 4 2 4
g/mL). Calculate molarity, molality and mole fraction of H SO in the given solution.
2 4
Q18)Methane burns in oxygen to form CO and H O.
2 2
(i)Writea balanced equation and calculate the amount of CO and H O formed when 8 g of
2 2
methane reacts with O .
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(ii) What will be the limiting agent when the above amount of CH reacts with 29 g of O .
4 2
Q19)A compound on analysis gave the following data –
Na–14.31%, S -9.97%, H-6.22% and the rest oxygen.
Calculate the molecular formula of the compound assuming that hydrogen in the compound
is present in combination with oxygen as water of crystallisation.
[Given: Molar mass of the compound is 322 g/mol]
Q20)How much KClO should be heated to produce 2.24 Loxygen at STP?
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Q21)What volumeof oxygen at STP is required to effect complete combustion of 200 cm3 of
acetylene and what would be the volume of carbon dioxide formed?
Q22) How many significant figures are there in each of the following numbers:
(a) 6.200 (b) 0.052 (c) 7.5×104 (d) 0.00050 (e) 67.32–6.3
(f) 4.2+7.589 (g) (5.56)2(8.24)/(3.6) (h) 18.567/(8.1×2)
Q23) What is unit factor? Using it convert the following into S.I units:
(a) 500 Mg (b) 41 pm (c) 5.96 g/cm3 (d) 3 inches (e) 7 L
(f) 1.75 ergs (g) 4.4 dynes (h) 5 eV (i) 27◦C (j) 6 calorie
Q24)Express the following in scientific notation:
(a) 0.000055 (b) 266,0000 (c) 27003 (d) 3.0112 (e) 278.00
Q25) Round up upto three significant figures:
(a) 64.216 (b) 11.2108 (c) 0.05487 (d) 3707 (e) 66.55 (f) 8.345
Chapter 2 –Structure of Atom
Q1)Calculate the atomic number, mass number, number of protons, electrons and neutrons
present in the element with the notation .
Q2) Calculate the wavelength and wave number of radiations having a frequency of 4×1014
Hz. U
Q3) When electromagnetic radiation of wavelength 300 nm falls on the surface of sodium,
electrons are emitted with a kinetic energy of 1.68×105 J/mol. What is the minimum energy
needed to remove an electron from sodium? What is the maximum wavelength that will cause
a photoelectron to be emitted?
Q4) In the infrared region of the atomic spectrum of hydrogen, a line is obtained at 1026 Å.
Calculate the energy of photon of this wavelength. (h = 6.626×10-34 Js)
Q5) What is the ratio between the energies of two radiations, one with a wavelength of 6000
Å and the other with 2000 Å?
Q6) Calculate the wavelength of the spectral line obtained in the spectrum of Li2+ ion when
the transition takes place between two levels whose sum is 4 and difference is 2.
Q7) Calculate the velocity of electron in the first Bohr orbit of hydrogen atom.
[Given:-Bohr radius = 0.529 Å, h = 6.626×10-34 Js, mass of the electron = 9.1×10-31
kg]
Q8) To which orbit will the electron in the hydrogen atom jump on absorbing 12.1 eV of
energy?
Q9) Calculate the wavelength associated with an electron moving with a velocity of 103 m/s.
[Given:-h = 6.626×10-34 Js, mass of electron = 9.1×10-31 kg]
Q10) Calculate the momentum of a particle which has a de Broglie wavelength of 0.1 nm.
Q11) Calculate the kinetic energyof an α-particle which has a wavelength of 12 pm.
[Given:-mass of α-particle = 6.64×10-27 kg]
Q12) Calculate the uncertaintyin the velocity of a wagon of mass 3000 kg whose position is
known to an accuracy of ±10 pm.
Q13) A proton is accelerated to a velocity of 3×107 m/s. If the velocity can be measured with
a precision of ±0.5%, calculate the uncertaintyin position of proton.
[Given:-mass of proton = 1.66×10-27 kg, h = 6.626×10-34Js]
Q14) Calculate the total number of radial and angular nodes for 5d and 4p orbitals. Also
determine the values of n, l and m for these orbitals.
Q15) Which of the following sets of quantum numbers are not possible? Justify your answer.
(i) n = 3,l = 2, m = 0, s = - (ii) n = 3,l = 3, m =-2, s =- (iii) n =3,l = 4, m
= 0, s = + 1 1
2 2
Q16a) What will be the maximum number of electrons for orbital with n = 5?
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b) Calc2ulate the maximum number of electrons for orbital with l = 3.
Q17) Write the electronic configuration for the following:-
(a) Mn2+ (Z = 25) (b) Brˉ (Z = 35) (c) Cu2+ (Z = 29) (d) Pd (Z = 46)
(e) Co3+(Z = 27)
Q18) An element with mass number 81 contains 31.7% more neutrons as compared to
protons. Assign the atomic symbol.
NEW ERA PUBLIC SCHOOL
Holiday Homework (2017-18)
Class: XI
Subject:Biology
Topic:
1. Cell structureand function
2. Cell cycleand cell division
1.What is cell theory? Who modified thehypothesis ofSchleiden &Schwann?
2.Howdoes cytokinesis in plant cell differ from that in animal cell?
3.Distinguish between-
(i)plastid andplasmid
(ii)chromatinmaterial andsister chromatid
(iii)cristaeand cisternae
4. In atypical prokaryoticcell, explain thestructureandfunction ofeach ofthefollowing:
(i)plasmamembrane(ii)capsule(iii)mesosomes (iv)flagellum
(v)pili andfimbriae (vi)plasmid
5.What arethedifferences between: metaphase I&metaphase II, anaphase I
&anaphase II.Givesignificance ofmeiosis.
6.“Fluid-mosaicmodel ofcell membrane”was given bySinger-Nicolson. Explain
thestructurewith help oflabelled diagram.
7.Whydoes golgi apparatus remain in closeassociation with E.R.?
8.Describethefollowing: (a)homologous chromosomes (b)synapsis (c)bivalent
(d)chiasmata. Drawdiagrams to illustrate your answer.
9.With thehelp ofadiagram, explain thestructure ofmitochondria.
10.Classifythetypes of plastids foundin plant cell. Namethepigments present
in eachand also list thefunction performed .
11.What is thesignificance ofGostageof cell cycle?
12.What is karyokinesis andcytokinesis? What arethethreephases ofinterphase? Explain.
13.What is thefunction ofpores in thenuclear envelope?
14With help ofdiagrams describevarious events ofdifferent stages ofmitosis.
15. Identifyvarious types ofchromosomes based on theposition ofcentromere.
NEW ERA PUBLIC SCHOOL
Holidays Home Work (2017-18)
Class:XI
Subject: Physics
General Instructions:
1. A copyof this assignment should be pasted in the class-work register.
2. All the questions should be solved in classwork register only.
1. Write the dimensional formulae for the following physical quantities:
(i)Gravitational constant (ii)Power (iii)Young’s Modulus
(iv) Coefficient of viscosity (v)Surface tension (vi)Planck’s constant
2. By the use of dimensions, show that energy per unit volume is equal to the pressure.
3. Taking velocity, time and force as the fundamental quantities find the dimensions of mass.
4. The density of mercury is 13.6 g/cm3in CGS system.Find its value in SI units.
5. Find the value of 100 J on a system which has 20 cm, 250 g and half minute as fundamental
units of length, mass and time.
6. Find the dimensions of a / b in the equation: F=a √x +bt2, where F is force, x is distance and t
is time.
7. Find the dimensions of the terms a, b, c in equation v=at +b / t +c.
8. Derive the following relationships using dimensions:
(a) The velocity ‘v’of a wave along a plucked string depends on the tension ‘T’ in the string, its
length ‘l’ and the mass ‘m’ of the string.
(b)The terminal velocity ‘v’ of a steel sphere moving under gravity through a viscous liquid
depends on the weight of the sphere ‘mg’, the coefficient of viscosity ’η’ and the radius of the
sphere ‘r’.
9.Thediameter of the given wire was measured eight times by a screw gauge as: 0.036 cm,
0.038 cm, 0.039 cm, 0.037 cm, 0.035 cm, 0.036 cm, 0.034 cm, 0.035 cm. Find the diameter of
the wire, the absolute error and the relative error.
10. The refractive index was found to be 1.54, 1.53, 1.51, 1.50, and 1.52 in successive
measurements. Calculate the refractive index of glass and the percentage error in its
measurement.
11. In an experiment to determine the value the Young’s modulus of elasticity of a steel wire
using the formula Y =M gl / πr2e the percentage errors in the measurement of m, l, r and e
were 2%, 1%, 2% and 1% respectively. Find the percentage error incurred in the measurement
of Y.
12. The initial and final temperatures of a water bath are (21.0 ±0.5) C and (42.5 ±0.5) C.
What is the rise in temperature of the water bath and the greatest fractional error in the
determination of the rise in temperature?