Vidya Niketan (Birla Public School), Pilani

Winter Assignment 2018

Class XI (Chemistry)

1. Calculate the oxidation number of sulphur, chromium and nitrogen in H2SO5, Cr2O7

2– and

NO3–. Suggest structure of these compounds. Count for the fallacy.

2. While Sulphur dioxide and hydrogen peroxide can act as oxidising as well as reducing agents

in their reactions, ozone and nitric acid act only as oxidants. Why?

3. Balance the following redox reactions by ion – electron method :

(a) MnO4– (aq) + I– (aq) ----MnO2 (s) + I2(s) (in basic medium)

(b) MnO4– (aq) + SO2 (g) ------ Mn2+ (aq) + HSO4

– (aq) (in acidic solution)

4. Depict the galvanic cell in which the reaction; Zn(s) + 2Ag+(aq) ----Zn2+(aq) +2Ag(s)

takes place, Further show:

(i) which of the electrode is negatively charged,

(ii) the carriers of the current in the cell, and

(iii) individual reaction at each electrode.

5. Given the standard electrode potentials,

K+/K = –2.93V, Ag+/Ag = 0.80V, Hg2+/Hg = 0.79V, Mg2+/Mg = –2.37V. Cr3+/Cr = –0.74V

Arrange these metals in their increasing order of reducing power.

6. Derive Kp= Kc (RT)Δ n for a chemical reaction.

7. Explain the following terms: - (i) Solubility product (KSP) and ionic product (QSP) (ii)

Common ion effect (iii) Buffer solution (iv) Lewis concept of acids and bases (v) Bronsted

concept of acids and bases

8. Calculate the degree of hydrolysis and pH of a 0.1 M sodium acetate solution. Kh for sodium

acetate = 5.6 x 10-10 .[ Ans:- h = 7.48 x 10-5 and pH = 8.88]

9. The solubility of AgCl in water at 298 K is 1.06 x 10-5 mole per litre. Calculate its solubility

product at this temperature. [Ans:-KSP = 1.12 x 10-10 mol2 L-2]

10. Calculate ihe pH of the resultant mixture of 10 mL of 0.1 M H2SO4 and 10 mL of 0.1 M of

KOH. [Ans: pH = 1.301]

11. State the following:- (i) First law of thermodynamics (ii) second law of thermodynamics (iii)

Third law of thermodynamics (iv) Hess’s law of constant heat summation.

12. At 298 K, Kp for the reaction, N2O4 (g) ⇌ 2 NO2 (g) is 0.98. Predict whether the reaction is

spontaneous or not.

13. The enthalpy of formation of carbon monoxide and steam are – 110.5 and – 243.0 kJ

respectively. Calculate the heat of reaction when steam is passed over coke as,

C(s) + H2O (g) -- CO (g) + H2 (g) [Ans; ∆r H =+ 132.5 kJ]

14. Define the following:- (i) Surface tension (ii) Viscosity (iii) Critical temperature (iv) Boyle

temperature (v) Hydrogen bonding (vi) Compressibility factor (vii) Root mean square speed

(viii) Most probable speed

15. Pay load s defined as the difference between the mass of displaced air and the mass of the

balloon. Calculate the payload when a balloon of radius 10 m, mass 100 kg is filled with

helium at 1.66 bar at 270C. (Density of air = 1.2 kg m-3 and R = 0.083 bar dm3 K-1)

[ Ans; 3811.11kg]

16. Describe intermolecular forces.

17. Derive ideal gas equation, PV = nRT.

18. What do you mean by the terms: - (i) Isotherm (ii) Isobar (iii) Isochore (iv) SATP.

19. Explain kinetic molecular theory of gases.

20. Explain the liquefaction of gases.

BIRLA PUBLIC SCHOOL

ASSIGNMENT FOR WINTER VACATIONS (2018-19)

CLASS XI

SUBJECT: ACCOUNTANCY

Q.1 “XYZ” Company purchased a machinery on 01.04.2014 for Rs. 100000. On 1.07.2014

Company purchase another machinery for Rs. 20000. 01.07.2016 company sold one half

(½) of machinery for Rs. 35000 which was purchased on 01.04.2014, and on the same

date company purchase another machinery for Rs. 30000. On 31.12.2016 company sold

second machinery for Rs. 12000 which was purchased on 01.07.2014. Prepare machinery

A/C for 4 years from 01.04.2014 to 31.03.2018. Assuming that depreciation charged on

Machinery 10% pa by using straight line method.

Q.2 A,B,C company purchased a furniture for Rs. 50000/- on 1.04.16. On 1st July 2016

purchased another furniture for Rs. 25000/-. On 1st July 2017 company sold the first

furniture for Rs. 40000/- and on the same date purchased another furniture for Rs. 10000.

Prepare Furniture A/C and provision for depreciation A/C till the end of 31s March’2018 .

Deprecation charged 20% per annum by using straight line method.

Q 3“Ashok Leyland” Company purchased a machinery on 01.04.2004 for Rs. 300000. On

1.10.2005 Company purchase another machinery for Rs. 20000. 01.10.2006 company sold one third

(1/3) of machinery for Rs. 65000 which was purchased on 01.04.2004, and on the same date

company purchase another machinery for Rs. 40000.. Prepare machinery A/C for 4 years from

01.04.2004 to 31.03.2007. Assuming that depreciation charged on machinery 10% pa by using

Diminishing Balance method.

4.From the following particulars prepare Bank Recounciliation statement on 31.12.2010.

(a) Balance as per Cash Book Rs. 15000.

(b) Cheque deposited in to bank on 16.12.2010 for Rs. 3000, credited in to

pass book on 5th Jan. 2011.

(c) Interest Rs.140 credited by bank and Bank Charges Rs. 100.

(d) Cheque worth Rs. 8000 issued but not presented for payment till 31.12.2010.

(e) A cheque of Rs. 500 deposited in to Bank dishonoured.

(f) Bank debited customer A/C Rs. 500 and credited Rs. 800 without the knowledge of the

customer

5. Prepare Bank Reconciliation statement from the following data as on 31.12.2017.

(a) Balance as per Pass Book Rs. 65000.

(b) Cheque deposited but not yet credited by the Bank Rs. 4500.

(c) Another cheque Rs2000 as deposited but dishonoured.

(d) Cheque issued but not yet present for payment Rs.6000.

(e) Interest on investment not recorded in cash Book Rs.300.

(f) A cheque of Rs.2420 received from customer, although entered in the Cash Book

was not sent to Bank

(g) Payment side of cash book under cast by Rs2000.

(h) Cheque drawn Rs 1200 and Rs 2500 on 25.12.2017 out of which cheque Rs2500 was

encashed before 31.12.2017.

(i) Three cheques of Rs 2000,Rs2500 and Rs3000 paid in to bank but 3rd cheque Rs3000

cleared on 5.1.2018.

(j) Bank debited Rs100 for collection charges.

Q.6 Prepare Bank Reconciliation Statement from the given data as on 30th June’2018.

(a) Debit balance as per cash book Rs. 50000.

(b) Cheque issued to creditor but not yet presented for payment Rs. 3000.

(c) Interest allowed by Bank Rs. 200

(d) A cheque deposited in to Bank but dishonoured amounting Rs. 4000.

(e) Bank charged charged by Bank Rs. 300

(f) Directly deposited by customer in our account Rs. 5000.

(g) Two cheques deposited amounting Rs. 7000 & Rs. 9000 in the month of June

but out of these cheque amounting Rs. 7000 credited in the account on 3rd July.

(h) Bank paid House tax on behalf of customer Rs. 600.

(i) Interest debited by Bank Rs. 1500.

(j) Receipt side of Cash Book Under cast Rs. 1500.

Winter Vacation Assignment

Business Studies - XI

Both section XI-C & E have to develop the projects in the following manner. Topics are roll call wise

and main headings have been suggested to develop projects.

Roll call 1 to 10 Roll call 11 to 20 Roll call 21 onwards

MNC On line retailers Famous Indian Entrepreneurs

Introduction Introduction Brief profile

Profile Origin and promoters Professional achievements

Main rivals Main rivals Area of activity

Present status Present situation All ventures- Successful or failed

Future prospects Future plans Present case

Future plans

Kindly submit by 25/01/2019

K.K.Acharya

BIRLA PUBLIC SCHOOL, PILANI

WINTER VACATION HOME ASSIGNMENTS 2018-19 CLASS-11

SUBJECT-HINDUSTANI MUSIC (PER INSTRUMENTAL) 5TH & 6TH

1. Auto Biography of Ustaad Ahmed Jaan Thirakawa.

2. Auto Bio graphy of Pt. Anokhe Lal Mishra

3. Brief note on Banaras Gharana

4. Practice Taal Notation (written) all Kayada, Compositions, and all prescribed taal.

BIRLA PUBLIC SCHOOL, PILANI (RAJ)

WINTER VACATION HOME ASSIGNMENT 2018-2019

CLASS – XI

PHE

1. Revise chapter 4 to 10 of your text book and complete your notes.

2. Prepare a project file on any one game.

3. Prepare a project on AAPHER Test.

4. Computation of BMI from family and neighbors & graphical representation of the data.

5. Pictorial presentation of any five Asanas for improving concentration.

6. Improve your Endurance & strength during winter vacations. Devote at least one hour for

improving your physical fitness.

VIDYA NIKETAN

(BIRLAPUBLIC SCHOOL)

PILANI – 333031 (RAJASTHAN)

Winter Assignment Class 11th

Sequences & Series

Q.1. The sums of n terms of two arithmetic progressions are in the ratio 5n + 4 : 9n +6. Find the ratio

of their 18th terms.

Q.2. Show that the sum of (m + n)th and (m – n)th terms of an A.P. is equal to twice the mth term.

Q.3. If an=n2+3n. Find Sn.

Q.4. The sum of n terms of two arithmetic progressions are in the ratio (3n + 8) : (7n + 15). Find the

ratio of their 12th terms.

Q.5. The ratio of the sums of n terms of two A.P is (7n +1) : (4n +27).find the ratio of their 11th

terms.

Q.6. The ratio of the sums of n terms of two A.P is (3n +4): (5n+6 ).find the ratio of their 5 th terms.

Q.7. There are n A.M between 1 and 23 such thart the ratio of last mean to the first mean is 7:1. find

the value of n.

Q.8. AM.s have been inserted between 1 and 31 so that the ratio of 7th and (n-1)th means is 5:9. find

the value of n

Q.9. Find two numbers whose AM=34 and GM=16

Q.10. The AM of two positive numbers a and b (a>b)is twice the GM Prove that a:b =2 +√3 : 2-√3

Q.11. For the what value of n ,(a n-1 + b n-1) / (a n +b n )is GM of a and b .?

Q.12. Construct a quadriatic equation in x so that AM of its root is Aand GM is G.

Q.13. Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

Q.14. The sums of n terms of two arithmetic progressions are in the ratio 5n + 4 : 9n + 6. Find the

ratio of their 18th terms.

Q.15. If a , b, c are in AP . prove that b+c , c+a, a+b are in AP.

Q.16. If a , b, c are in AP. Prove that 1/bc, 1/ac,1/ab are also in AP.

Q.17. If a , b, c are in AP.prove that 1/( √b + √c),1/ (√c +√a),1/( √a + √b) are in AP.

Q.18. If a , b, c are in AP.prove that a2(b +c), b2(c +a), c2 (a+b) are in AP.

Q.19. If a , b, c are in AP. Prove that (b+c)2- a 2,(c+a)2 -b2,(a+b)2-c2 are in AP.

Q.20. If a , b, c are in AP .prove that a(b+c)/bc, b(c+a)/ca, c(a+b)/ab are in AP.

Q.21. If a , b, c are in AP prove that b+c-a, c+a-b,a+b-c .are in AP.

Q.22. If a , b, c are in AP.prove that bc-a2,ca-b2,ab-c2 are in AP.

Q.23. If a2,b2,c2 are in AP.then show that 1/(b+c),1/(c+a),1/(a+b) are in AP.

Q. 24. If a2,b2,c2 are in AP.then show that a/b+c,b/c+a,c/a+b.are in AP.

Q.25. If (b+c-a)/a,(c+a-b)/b,(a+b-c)/c are in AP.prove that 1/a,1/b,1/c are also in AP.

Q.26. Find the sum of the series 12 + 42 + 72 +….

Q.27. Find the sum of the series 2 + 11 + 101 + 1001 + ............. To n terms.

Q.28. Find the least n for which the sum of the series 1 + 2 + 4 + 8 + ........... is greater than 10000.

Q.29. Find the sum of the sequence 8, 88, 888, 8888,------- to n terms.

Q.30. Find the sum of 0.7 + 0.77 + 0.777 + ------- to n terms.

Q.31. The sum of 4 numbers in GP is 40 and arithemetic mean of first and last is 18 .find the

numbers.

Q.32. The AM of two numbers exceeds the GM by 8 and ratio of the numbers is 4 .find the numbers.

Q.33. Find the value of n so that may be the geometric mean between a and b.

Q.34. The sum of two numbers is 6 times their geometric means, show that numbers are in the ratio of

.

Q.35. Find the sum to n terms of the series: 1 + 5 + 12 + 22 + 35 + - - -

Q.36. Find the sum to n terms of the series : 3 ´ 12 + 5 ´ 22 + 7 ´ 32 +------------

Q.37. If a,b,c are in GP.and then show that x, y, z are in AP

Q.38. If p,q,r are in AP.show that pth,qth,and rth terms of any GP are in GP.

Q.39. If pth , qth and rth terms of a G.P. are a, b and c respectively. Prove that aq-r br-p cp-q =1.

Q.40. If S1, S2, S3 are the sums of first n natural numbers, their squares and their cubes respectively,

show that 9 S22 = S3 (1 + 8S1).

Q.41. Sum of the first p, q and r terms of an A.P. are a, b and c respectively. Prove that

Q.42. If the coefficient of ar - 1, ar and ar + 1 in the expansion of (1 + a)n are in arithmetic

progression, prove that n2 - n(4r + 1) + 4r2 - 2 = 0.

Q.43. One side of a square is 10cm. The mid points of its sides are joined to form another square

whose midpoints are again joined to form one more square and this process is continued

indefinitely.find the sum of the areas of all the squares so formed.

Q44. A ball is dropped from a height of 48 m and rebounds two- third of the distance it falls .if it

continues to fall and rebounds in this way how far it travels before coming to rest.

Q.45. One side of an equilateral triangle is 12 m .the midpoints of its sides are joined to form another

triangle whose midpoints in turn are joined to form still another triangle. This process is continued till

6 triangles are formed.Find sum of perimeters of all the triangles.

Q46. If S be the sum, P be the product and R be the sum of the reciprocals of n terms of a GP, show

that

Straight Lines

Q.1. Find the value of K such that the line joining the points (2, K) and (-1, 3) is parallel to the line

joining (0, 1) and (-3, 1).

Q.2. Show that points (a, b + c), (b, c + a), (c, a + b) are collinear.

Q.3. Show that points (at12 , 2at1) , (at22 , 2at2) and (a , 0 ) are collinear if t1t2 = - 1

Q.4. The slope of a line is double of the slope of another line. If tangent of the angle between them is

1/3, find the slope of the lines.

Q.5. Find the equation of the straight line passing through (4,-2) and making an angle of 600 with the

negative direction of Y axis.

Q.6. A line perpendicular to the line segment joining the points (1,0) and (2,3) divides it in the ratio

1:n. Find the equation of the line.

Q.7. The slope of a line is double of the slope of another line. If tangent of the angle between them is

1/3, find the slope of the lines.

Q.8. Three points P (h, k), Q ( x1, y1) and R (x2, y2) lie on a line. Show that

(h x1) ( y2 y1) = (k y1) (x2 x1).

Q.9. Find the equation of the line that has y intercept 4 and is parallel to the line 2x 3y =7

Q.10. Find the equation of the line that has x intercept - 3 and is perpendicular to line 3x+5y =4.

Q.11. Prove that the lines 7x 2y + 5 = 0 and 14x 4y 8 = 0 are parallel to each other.

Q.12. Prove that the lines 3x 2y + 5 = 0 and 4x + 6y 23 = 0 are perpendicular.

Q.13. The slope of a line is double of the slope of another line. If tangent of the angle between them is

1/3, find the slope of the lines.

Q.14. A line perpendicular to the line segment joining the points (1,0) and (2,3) divides it in the ratio

1:n. Find the equation of the line.

Q.15. Find the coordinates of the orthocentre of the triangle formed by the lines x+y-6=0 and 3y = 5x

+ 2.

Q.16. Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes

through the point (2, 3).

Q.17. Find the equation of a line which passes through the point (3, - 2) and is inclined at 600 to the

line √3x + y = 1.

Q.18. Find the equation of a line which passes through the point (x1 , y1) and perpendicular to the

line xy1 + x1y = a2

Q.19. Find equation of the line passing through the point (2,2) and cutting off intercepts on the axes

whose sum is 9.

Q.20. Reduce the equation Ö3 x + y 8 = 0 into normal form. Find the value of w and p.

Q.21. If p and q are the lengths of perpendiculars from the origin to the lines x cosq y sinq = k cos 2q

and x sec q + y cosec q = k, respectively, prove that p2 + 4 q2 = k2.

Q.22. A line such that its segment between the axis is bisected at the point (x1, y1). prove that the

equation of the line is

Q.23. In the triangle ABC with vertices A (2, 3), B (4, 1) and C (1, 2), find the equation and length of

altitude from the vertex A.

Q.24. Find equation of the line which is equidistant from parallel lines 9x + 6y -7 =0 and 3x + 2y

+6=0

Q.1. Find . Hence, Evaluate .

Q.2. Show that 9n+1 – 8n -9 is divisible by 64.

Q.3. Find a if the 17th and 18th terms of the expansion of (2 + a)50 are equal.

Q.4. Find the middle term in the expansion of (1 + x)2n, where n is a positive integer.

Q. 5. Find a positive value of m for which the coefficient of x2 in the expansion of (1 + x )m is 6.

Q.6. Find the middle terms in the expansions of .

Q.7. Find the term independent of x in the expansion of

Q.8. Find the coefficient of in the product (1 + 2x)6 (1 – x)7 using binomial theorem.

Q.9. Find the rth term from the end in the expansion of (x + a)n.

Q.10. Find the expansion of using binomial theorem.

Q.11. In the expansion of (1+a)m+n, prove that coefficients of am and an are equal.

Q.12. The second, third and fourth terms in the binomial expansion of (x + a)n are 240, 720 and 1080

respectively. Find x, a and n.

Q.13. If the coefficients of in the expansion of the (1 + a)n are in arithmetic

progression, prove that n2 - n(4r +1) + 4 r2 – 2 = 0.

Q.14. The coefficients of the (r – 1)th , rth and (r + 1)th terms in the expansions of (x +1)n are in the

ratio of 1 : 3 : 5. Find n and r.

Q.15. Find n if the ratio of the 5 th term from the beginning to the 5 th term from the end

in the expansion of .

Q.16. Evaluate :

.

Q.17. Find the value of a so that the term independent of x in the expansion of

Q.18. Find the 11th term from the end in the expansion of

Ajay Kumar Pandey (H.O.D. Mathematics Department)

VIDYA NIKETAN

(BIRLAPUBLIC SCHOOL)

PILANI – 333031 (RAJASTHAN)

Economics winter school assignment class XI COM

Q:1 Solve ten questions of elasticity of demand using percentage method.

Q:2 Solve ten questions of elasticity of supply using percentage method.

Q:3 Solve ten numerical questions of cost.

Q:4 Make one project on elasticity of demand.

BIRLA PUBLIC SCHOOL, PILANI

WINTER- ASSIGNMENT

CLASS 11

English

1. AS the Vice-Principal draft, a notice in 50 words informing the prefects, monitors and the

other discipline in-charge students of a leadership Training Camp being organized by the

school.

2. Design a poster to be issued by the Ministry of Health in public interest warning people

against the dangers of smoking.

3. You are a travel agent and conduct tours in India and abroad. Create an advertisement in 50

words offering attractive discounts during summer vacation.

4. You lost your briefcase while travelling in Delhi, Metro. Create an advertisement in 50 words

for the Lost and Found Columns of a newspaper.

5. You are Arpit /Arpita of St. Sebastian High School. Delhi and commute to your school

everyday by the newly started Metro Rail. You notice the benefits of travelling by Metro and

decide to write an article to be published in a local newspaper under the heading ‘Metro Rail,

A boon for Traffic’.

6. Prepare a poster on behalf of the municipal authority of your city advising citizens on ways to

save water.

7. Write an article about the impact of revolution brought by Information Technology in India to

be published in your school magazine in about 150-200 words.

8. Children usually come to school without taking breakfast in the morning and eat junk food

from the school canteen. This habit affects adversely the performance of the students in the

academics and sports. Write a speech in about 150-200 words to be given in your school

assembly about ‘How Health is affected by Lifestyle’.

Compiled By

Varsha Ratta

Home Assignment for Class XI Bio 2018-19

1-Rivision of syllabus taught.

2- Prepare a list of all Endocrine glands of human beings, there secretions and functions.

3- Prepare a list of all bones their names and location of human skeleton system.

4- Prepare a diet chart of 15 days including sources of Fats, Carbohydrates, Proteins and Minerals .