BAL BHARATI PUBLI C SCHOOL, PITAMPU RA, DELHI – 1100 34
CLASS – XI
(2016-17)
HOLIDAY HOMEWORK
ENGLISH:
Write a summary of three National and International events that have been featured in the
newspapers / news channels on television.
You may follow the given format:
a) Paste the newspaper clipping.
b) Write a brief summary in your own words about the issue.
c) Write your comments/analysis / opinion about the matter.
MATHEMATICS:
Q.1.
Find the domain and range of the following functions:
(i).
f ( x) 
(ii).
f ( x) 
x
(iii).
x
f ( x)  x x
(iv).
f ( x)  2  2 x  x 2
(v).
f ( x) 
(vi).
f ( x )  sin 2 x  cos 4 x
(vii).
f ( x) 
(viii).
Q.2.
2x  3
x  3x  2
2
x2
x  8x  4
2
1
1  2 sin x
f ( x )  x 2  6 x  10
(ix).
f ( x) 
(x).
f ( x) 
tan x
tan 3x
x2  2x 1
x 2  8 x  12
If f is a real valued function defined by f ( x ) 
Prove that f (2 x) 
Q.3.
x 1
x 1
3 f ( x)  1
f ( x)  3
Find the domain and range of following function graphically:
a) f ( x )  1  x  3
b) f ( x )  2  x  5
Q.4.
Solve for x :
x3  x
a)
>1
x2
x 2  5x  6
0
x2  x 1
b)
Q.5.
c)
x 2  5x  6  6
d)
f ( x )  x 2  2 x  24  x 2  3x  4
Prove that:
a) sin 36 sin 72 sin 108 sin 144 
b)
5
16
cos 5 x  cos 4 x
 (cos 2 x  cos x )
1  2 cos 3x
 2

 4
 3
c) sin 3 x  sin 3 
 x   sin 3 
 x 
sin 3 x
4
 3

 3

Q.6.
Find the minimum and maximum value of 3 cos x  4 sin x  8
Q.7.
Draw the graph of y  sin x, y  sin 2 x, y  sin
x
( 2    2 ) on the same graph with three
2
different colours and write their periods.
Q.8.
Solve the following equations:
(i).
7 cos 2   3 sin 2   4
x
1  0
2
(iii).
4 sin x sin 2 x sin 4 x  sin 3x
Q.9. Write all the trigonometric identities 2 times.
(ii).
5 cos 2 x  2 cos 2
PHYSICS:
SECTION 1
Q.1. What is the dimensional formula of gravitational constant?
Q.2.
Write down the limitations of dimensional analysis.
Q.3.
Which of the following is the most precise device for measuring length :(a) avernier calipers with 20 divisions on sliding scale. (b) a screw gauge of pitch 1 mm &
100 divisions on circular scale.(c) an optical instrument that can measure length to within
a wavelength of light ?
Q.4
Subtract 0.2 kg from 34 kg with due regard to significant figures.
Q.5
Name same physical quantities that have same dimension.
Q.6.
Name the physical quantities that have dimensional formula [ML–1 T–2]
Q.7.
Give two examples of dimension less variables.
Q.8.
Given relative error in the measurement of length is .02, what is the percentage error?
SECTION 2
Q.1. Differentiate between fundamental and derived units. Give examples also.
Q.2.
Ultrasonic sent by a SONAR return back to it after reflection from a rock under water
after a time lapse of 2.2 second. If the velocity of ultrasonic in water is 1450 m/s, find
the depth below the water surface.
Q.3.
The length of a rod as measured in an experiment was found to be 2.48m,2.46m, 2.49m,
2.50m and 2.48m. Find the average length, absolute errorand percentage error. Express
the result with error limit.
Q.4.
Write the dimensions of a and b in the relation: energy, distance &time respectively.
Q.5.
Write the dimensions of a/b in the relation F =
and t is time.
Q.6.
Check the corrections of the relation.
meaning.
Q.7.
Wavelength λassociated with a moving particle depends upon its mass m, its velocity v
and Planck’s constant. h. Find dimensionally the relation between these quantities.
Q.8.
Derive by the method of dimensions, an expression for the energy of a body executing
S.H.M., assuming that this energy depends upon; the mass (m), the frequency (v) and the
amplitude of vibration (r).
Consider a simple pendulum. The period of oscillation of simple pendulum depends on its
length and acceleration due to gravity. Derive the expression for its time period.
Q.9.
Where E, x & t represent
Where F is force, x is distance
Where the letters have their usual
Q.10. What is meant by significant figures? How are these counted?
Q.11. Define the terms (i) mean absolute error. (ii) Relative error and (iii) percentage error.
How are they calculated?
Q.12. A physical quantity P is related to four observables a, b, c and d as follows:- P =
The
percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2% resp. What is
the percentage error in measurement of P?
Q.13. State the number of significant figures in
(i)
0.007 (ii) 2.64 × 1024 kg(iii) 0.2370 g (iv) 0.2300m(v) 86400 m
Q.14. Using dimensions convert (a) 1 newton into dynes (b) 1 erg into joules.
Q.15. Magnitude of force experienced by an object moving with speed v is given by F = kv2. Find
dimensions of k.
Q.16. The sides of a rectangle are (10.5 ± 0.2) cm and (5.2 ± 0.1) cm. Calculate
its perimeter with error limits.
Q.17. The mass of a box measured by a grocer’s balance is 2.3 kg. Two gold pieces 20.15 g and
20.17 g are added to the box.(i) What is the total mass of the box?(ii) The difference in
masses of the pieces to correct significant figures.
Q.18. 5.74 g of a substance occupies 1.2 cm3. Express its density to correctsignificant figures.
Q.19. If displacement of a body s = (200 ± 5) m and time taken by it t = (20 +0.2) s, then find
the percentage error in the calculation of velocity.
Q.20. If the error in measurement of mass of a body be 3% and in the measurement of velocity
be 2%. What will be maximum possible error in calculation of kinetic energy.
VECTORS
1. Calculate the angle between a 2 N force and a 3 N force so that their resultant is 4 N.
2. When the angle between two vectors of equal magnitude is 2/3, prove that the
magnitude of the resultant is equal to either.
3. The resultant of two equal forces acting at right angles to each other is 1414 dyne. Find
the magnitude of either force.
4. A particle is acted upon by four forces simultaneously
(i)30 N due east (ii) 20 N due North (iii) 50 N due West (iv) 40 N due South. Find the
resultant force on the particle.
5. Two equal forces have the square of their resultant equal to three times the product of
their magnitude. Find the angle between them.
6. Two forces acting on a particle in opposite direction have the resultant of 10 N. If they
act at right angle to each other, the resultant is 50 N find the two forces.
7. Find the length of (A + B) and (A- B) where A = 3i +2j and B = i – 2j + 3k.
8. For what value of a, is A = 2i +aj + k is perpendicular to B = 4i – 2j – 2k?
9. Find the angle between the vectors A = i + 2j – k and B = - i + j – 2k.
10. Show that the vectors A = 2i – 3j – k and B = -6i + 9j + 3k are parallel to each other.
11. If A = i – j +k and B = 2i + j +k then find AB.
12. Find a unit vector perpendicular to each of the vectors 3i + j + 2k and 2i – 2j + 4k.
13. Prove that ( A – B )  ( A + B) = 2 ( AB)
14. Find the components of the vector A = 2i + 3j along the directions of vectors i + j and i –
j.
15. The sides of parallelogram are A = 2i – j + k and B = 2i + j + k, find the area of the
parallelogram.
16.
A river 800 m wide flow at the
rate of 6 km/h. A swimmer can swim at 10 Km/h in still water, wishes to cross the river
straight. (a) Along what direction must he strike? (b) What should be his resultant
velocity? (c) How much time he would take?
17.
A stream flows with a velocity
of 5km/h. Find in what direction a swimmer, whose velocity in still water is 13km/h,
should start to swim in order to cross the stream perpendicularly.
18.
A boat can be rowed with a
velocity of 10 km/h in still water. If the stream flows at 3 km/h in a river 500 m wide.
Find the direction in which the head of the boat must point so that the motion of the
boat may be right angles to the current. Also find the time taken by it to cross the river.
19.
A force of 20 N makes an angle
of 30 with X axis. Express it in component form.
20.
One
of
the
rectangular
components of a velocity of 100km/h is 50km/h. Find the other component.
CALCULUS
1. Find the derivative of
(a) y = 3x2 + 2x – 3
(b) y = x sin x
(c) y = (x2 + 2) ½
(d) y = (6x2 + 3x) (5x – 4)
(e) Given that the displacement of a particle is given by the equation y = 2t2 + 3t – 4, find
velocity at time t = 2 sec.
(f) The position function x (t) of a particle moving along X – axis is given by
x = 4.0 – 6.0 t2,
with x in meters and t in seconds (a) at what tiem and (b) where does the particle
stops (momentarily)?
At what time does the particle pass through the origin?
2. Integrate:
(a) 5x3 – 4x + 2
(b) 3x2 + 2x – 1/x
(c) If the velocity of a particle is given by the equation, v = 20 – 3t, find its acceleration.
Is the acceleration uniform or varying?
(d) If the position of a particle is given by x = 20 t – 5t3, where x is in meters and t is in
seconds, when if ever, is the particle’s velocity zero? (b) When is its acceleration
zero?
(e) Integrate 4x3 – 3x2 + 2x - 4 between x = 1 to x = 3
CHEMISTRY:
SOME BASIC CONCEPT OF CHEMISTRY
1. How much potassium chlorate should be heated to produce 5.6L of oxygen at NTP?
2. Write an expression for molarity and molality of a solution.
3. Calculate the weight of lime (CaO) obtained by heating 200g of 90% pure lime stone.
4. What are 1molal and 1 molar solution?
5. 5litres of water are added to 2L of 5 molar HCl solutions. What is the molarity of resulting
solution?
6. What volume of 10M HCl and 3M HCl should be mixed to obtain 1L of 6M HCl solution?
7. At NTP, what will be the volume of molecules of 6.022 × 1021H2?
8. Calculate the number of molecules and atoms present in 0.25 moles of CO2?
9. Give one example each of a molecule in which empirical formula and molecular formula are
(i) same (ii) Different.
10. 1L of a gas at STP weighs 2.97g. What is molecular mass?
11. Write empirical formula of following –
CO, Na2CO3,KCl, C6H12, H2O2, H3PO4, Fe2O3, N2O4.
12. Calculate the number of moles and atoms in the following masses –
(i) 5.6g of Fe (ii) 4.0mg of Ca
13. Vitamin C is essential for the prevention of scurvy. Combustion of 0.2000g of vitamin C gives
0.2998g of CO2 and 0.819g of H2O. What is the empirical formula of vitamin C?
14. Molality of NaOH 5 molal. Calculate Molarity if density of the solution is 1.8 gml-1.
15. State law of definite proportions.
16. Explain law of multiple proportions with an example.
17. State Avogadro’s law.
18. Write Postulates of Dalton’s atomic theory.
19. Define one atomic mass unit (amu).
20. Calculate molecular mass of – C2H6, C12H22O11, H2SO4, H3PO4
PROJECT
GIVE A DETAIL REPORT ON ANY ONE THE FOLLOWING TOPICS UNDER THE FOLLOWINF
HEADINGS
1.
PROJECT DETAIL (1 PAGE)
2.
COLLECTION OF LATEST DATA AVAILABLE ( NEWS PAPERS, MAGAZINES ETC.)
3.
COMPARATIVE STUDY OF THE DATA ( BAR DIAGRAM/GRAPHICAL REPRESENTATION)
4
INTERPRETATION AND STEPS THAT ARE BEING TAKEN AND CAN BE TAKEN TO CHECK
POLLUTION





Role of particulate on atmospheric pollution
Hazards of Tropospheric pollution
Green chemistry as an alternate tool for reducing pollution
Role of foreign material on properties of water
International standards for drinking water
BIOLOGY:
1) Select any one disease / disorder (of your choice) where in the pathogen has become
antibiotic/ drug resistant . Collect relevant information under the following headings
a)
b)
c)
d)
Cause of the disease
Symptoms
Diagnostic tests
Prevention and cure
(you may select diseases listed in NCERT)
Present your information in laminated A3 pastel sheets
Maximum 2 pastel sheets to be used .
2) Complete the assignments/worksheets given before the summer break.
ENGINEERING GRAPHICS:
Q.1.
Make a presentation on the concept of “Orthographic Projections”taking any one of the
following topics :
a) Orthographic Projections of a point
b) Orthographic Projections of a line
c) Orthographic projection of simple machine blocks.
Using PPT or Video Clips
Q.2.
Draw Orthographic projections of following machine blocks.
i)
ii)
iii)
(iv)
(v)
(vi)
(vii)
(Viii)
(ix)
(X)
Computer Science (C++):
1) Write an algorithm and draw a flowchart for the following
a) To Find the minimum and maximum number from a set of n numbers, where n is
taken from the user .
b) To reverse a given number n , where n is taken from the user. For Eg. If the input is
123 , the o/p should be 321.
2) Answer the following questions
a) What are the different types of errors? Explain with examples.
b) What are the steps to create a working program?
c) What are the different uses and modules of documentation?
3) Convert each of the following :
a) (59)10 ( )8
b) (10101.0101)2 ( )10
c) (6.215)10 ( )2
d) (37FD)16 ( ) 10
4) Develop a website “ ENTERPRENUER IN THE MAKING: MY IDEA OF A STARTUP” using HTML
and CSS.
a) Use JavaScript or PHP to enhance your website.
b) Take help from www.w3schools.com, if required.
c) Your website should contain minimum of 3 webpages.
d) Your are required to submit the softcopy in a CD . Write your name , class ,sec and
admno on top of the CD with a marker .
INFORMATICS PRACTICES
1)
What is the role of an output unit? Discuss various types of output devices along with
their working mechanism.
2)
What do you understand by computer security, various threats to computer security and
possible solutions to computer security?
3)
Compile a list of anti-virus software which offers you free online scanning of your
computer.
4)
Design a GUI application as shown in the diagram. Writ e the code for “SUBMIT” button.
4)
Develop a website “ ENTERPRENUER IN THE MAKING: MY IDEA OF A STARTUP” using HTML
and CSS.
a) Use JavaScript or PHP to enhance your website.
b) Take help from www.w3schools.com , if required.
c) Your website should contain minimum of 3 webpages.
d) Your are required to submit the softcopy in a CD . Write your name , class ,sec and
admno
on top of the CD with a marker .
B.Studies:
Q.1. Name the following services:
i) The service which helps in removing hindrance of place.
ii) The service which helps in removing hindrance of time.
iii) The service which helps in removing hindrance of risk.
iv) The service which helps in removing hindrance of knowledge.
Q.2.
Compare business with employment and profession.
(Any5)
Q.3. What is partnership deed? What is its role in partnership firm?
Q.4. If registration is optional, why do partnership firms willingly go through this legal
formality and get themselves registered? Explain.
Q.5. Which cooperative society aims at eliminating middlemen to achieve economy in
operations?
Q.6.
Differentiate between: (2 points each)
i) Limited liability and unlimited liability
ii) Active partner and nominal partner
iii) Karta and coparceners
Q.7. A promoter identifies a lot of potential in the business of import of LED televisions from a
foreign country. However, it needs huge finance, which cannot be arranged. Whether it is
feasible to start a business?
Q.8. List the documents required for the incorporation of business to be filed with the
Registrar of Company.
Q9.
a) It is the main document of the company.
b) It is the subsidiary document of the company.
Identify and compare between them on the basis of
i) Objectives
ii) Relationship
iii) Validity
iv) Alteration
ACCOUNTANCY:
1. Paste a financial statement of any company from newspaper, company’s annual report or
internet and highlight 10 accounting terms in it and write their meanings.
2. Prepare accounting equation on the basis of the following transactions:
a. Commenced business with cash Rs. 1,00,000 out of which he deposited 60,000 in Bank.
b. Bought goods for cash Rs. 30,000 and on credit Rs. 40,000.
c. Purchased a machinery for Rs. 2,00,000 by raising a loan from P. N Bank.
d. Sold goods costing Rs. 20,000 at a profit of 20% on cost to Mohan on credit.
e. Withdrawn goods of Rs. 5,000 and cash Rs. 4,000 for personal use.
f. Paid interest on loan Rs. 4,000 and installment of bank loan 20,000 by cheque.
3. Fill in the blanks:
case Capital
(31.12.2012)
Capital
(1.1.2012)
1
2
?
20,000
10,000
?
Profit/ Loss
(during
2012)
5,000
(1,000)
3
4
21,000
10,000
10,000
20,000
?
5000
Drawings
(during 2012)
2,000
3,000
Fresh capital
introduced
during 2012
1,000
4,000
2,000
?
10,000
1000
4. Explain the following principles:
a) Historical cost principle
b) Matching principle.
c) Dual aspect principle
d) Business entity concept
e) Materiality concept.
5. Explain the Accounting process.
6. Journalise the following transactions:
a. Goods worth Rs. 2,000 were distributed as free samples.
b. Shyam started business with cash Rs. 50,000.
c. Furniture purchased for Rs. 5000.
d. Machinery sold for Rs. 10000.
e. Goods purchased for Rs. 3000.
f. Depreciation on machinery Rs. 500.
g. A debtor, Sohan is declared insolvent. Received a cheque of 25 paisa in a rupee on
a debt of Rs. 1,000 which was deposited in the bank.
h. Withdrew goods for personal use Rs. 1000.
i. Bought goods of list price Rs. 20,000 from Ram less 20% trade discount and 2% cash
discount and paid 50% by cheque.
j. Goods worth Rs. 8,000 were destroyed by fire and it was fully insured.
k. Withdrew cash from bank Rs. 4,000 for office use and Rs. 1,000 for private use.
l. Bought machinery from Rama Stores for Rs. 28,000 and paid freight Rs. 1,000,
carriage Rs. 200 and installation charges Rs. 800.
ECONOMICS:
1.
Explain the importance of statistics in formulating economic policies.
2.
Legally, zamidari system of land revenue has been abolished in independent India. Yet
Indian agriculture continues to be in a state of backwardness. What in your opinion is the
principal reason for this situation.
3.
Can we depend on MNCs to achieve our objective of ‘inclusive growth’.
(Inclusive growth means the growth which is employment generating)
4.
Exports from India have tended to lag behind our imports. Do you think that the Make in
India campaign introduced by the Prime Minister Narendra Modi would be able to enhance
the exports?
5.
On the basis of the features of a good questionnaire , Draft a questionnaire on any one of
the following topics:
i)
Consumer Awareness (Consumer durables).
ii)
iii)
Success of Odd-Even rule in Delhi.
Relevance of LPG subsidy.
GEOGRAPHY:
Q.1.
Giving three suitable examples explain how Geography as a Social Science discipline
studies the ‘spatial organization’ and ‘spatial integration’.
Q.2.
Geography borrows its content from various other sciences and then analyses the content
with the geographical perspective. Pick up any six branches of Geography and explain the
given statement with respect to their relationship with other physical and social sciences.
Discuss the evolution of Atmosphere and Hydrosphere and their role in the origin of life
on Earth.
Q.3.
Q.4.
Q.5.
Q.6.
One of the important evidence regarding the structure of the interior of the Earth is
Seismic waves. Explain the phenomena through Shadow Zone. Also draw its diagram.
Rocks do not remain in their original form for long but may undergo transformation.
Elucidate the statement citing at least three examples.
Human beings by disturbing vegetation, ploughing and cultivating soil also help in mixing
and creating new contacts between air water and minerals in the earth material. What
type of weathering is referred to in the given statement? Explain this type of weathering
giving three suitable examples.
POLITICAL SCIENCE:
Read the chapter “Rights in the Indian constitution”. Read some relevant real life case
studies/issues for each of the six Fundamental Rights where you think that a particular
Fundamental Right has been violated.
For all the six case studies on the violation of each of the Fundamental Rights, draw a political
cartoon bearing a satire on the anomaly in the theoretical and practical application of these
Rights.
PSYCHOLOGY
1.
With the help of a diagram explain the steps of a scientific research.
2.
Define the following terms:
(a) objectivity
(b) sample
(c) data
(d) population
(e) hypothesis
3.
Differentiate between:
(a) naturalistic and controlled observation
(b) participant and non participant observation
(c) control and experimental group.
4.
Explain the important aspects of correlational research.
5.
Differentiate between a survey and interview
6.
Differentiate between
(a) verbal, non-verbal and performance test
(b) individual and group test
(c) Power and speed test
7.
Identify the independent and dependent variables in the following descriptions of
experiments:
A. Students watched a cartoon either alone or with others and then rated how funny they
found the cartoon to be.
B. A comprehension test was given to students after they had studied textbook material
either in silence or with the television turned on.
C. Some elementary school teachers were told that a child’s parents were college
graduates, and other teachers were told that the child’s parents had not finished high
school; they then rated the child’s academic potential.
8.
Try and design an experiment from the following hypotheses.
a. The more time people spend using social media, the less able they are to express
themselves in conversation.
Experiment:
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
Independent Variable:
Dependent Variable:
b. Drinking energy drinks makes people more aggressive.
Experiment:
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
Independent Variable:
Dependent Variable:
c. Taking a nap in the afternoon makes people more relaxed and less irritable for the
rest of the day.
Experiment:
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
Independent Variable:
Dependent Variable:
9.
Watch Brain Games episodes on Nat Geo. Prepare a summary of any two episodes. Also
discuss any 5 concepts discussed in those episodes in details. HAPPY GAMING.
 Do the holidays homework in an A4 size activity file in a neat and presentable manner.
 Wherever possible add diagrams, pictures and examples to enhance the answers.
HISTORY:
Q.1.
Do you think that it would be possible to liveany wheretoday ,exactly as the stone age
man lived? Give your arguments.
Q.2.
Do you think that Mao Zedong and the Communist Party of China were successful in
liberating China and laying the basis of its current success ?
Q.3.
How were Islamic architectural forms different from those of the Roman Empire ?
Illustrate with examples.
Q.4.
Write an account of the journey of an African boy of seventeen captured and taken to
Brazil as a slave.(Recommended reading “roots” by Alex Hailey)
Q.5.
Suppose the emperor Trajan had actually managed to conquer India and the Romans had
held on to the country for several centuries. In what ways do you think India might be
different today?
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