Holiday Home work 2018-2019

Class XII

Do all work on A4 sheet and file them on the first day of the reopening day.

1. Answer the Midterm exam question paper.

2. Write a short summary of Silars Marner Chapter wise.

3. Enumerate the characters of the following.

1. Eppie 2. Squire Cas 3.Godfrey Cas 4.Silas Marner 5.Miss Dolly Winthrap

6. Aaron Winthrap 7.Prisulla Lammeter 8. Mr. Lammeter 9. Bob Winthrap

10. Dr. Kimb 11.Mrs. Kimble 12. Mr. Snell 13.Mr. Macey 14.Mr. Crackenthorp

15. Molly Farren 16.Nancy Lammeter.

4a. You are P Sharma of Varanasi. You want a teacher to teach your daughter

studying in class X (CBSE Syllabus). Draft an advertisement to be published

in the classified columns of a local newspaper that says.

What subject(s) the tutor is needed for

What expertise/qualification the tutor should have

What time the advertiser would like the tutor to come to teach

Interested tutor(s) should contact the advertiser

4b. Action Shoes India Ltd is introducing a new range of summer shoes for kids.

The range has attractive designs and colours, reasonably priced and

comfortable. Create an attractive display advertisement for a newspaper

introducing the range.

5. A sea storm is expected to hit the states on the east coast of the country within

72 hours. As the Director General Coast Guards. Tamil Nadu, write a notice

warning fisherman, tourists and General public to take all safety precautions

and not to venture into the sea. The notice is to be posted at prominent public

places along the coast.

6. Draft a thought provoking poster on the need of growing more and more trees.

7. Prepare a poster to bring about awareness against the hazards of reckless use

of plastics.

8. As a supplier of books, write a letter to the principal of a school expressing your

inability to supply the order of books placed with you.

In your reply you should thank the principal for the order

(include the no. of the order).

Express your inability to supply the order (give a valid/suitable

reason).

Offer to supply other books or articles of stationary that the

school may require.

Hope that the school will continue to patronise your firm.

10. Write a letter to the Managing Director New Woodland Hotel Bangalore, to find

out the rates for conducting the XII class farewell party on their lawns,

enquiring about the catering cost per head, service charges and advanced to be

paid.

11. As an outgoing student of class XII, you have to give a Valedictory address at a

farewell get together being held in your school. Write a speech that you have to

deliver in about 100 words.

In your speech you should

Introduce yourself and mention the purpose of your speech

Describe your feelings on the occasion of the farewell

Thank the Management, Principal and Teachers for their

contribution in shaping your education and personality

Wind up with a word of advice to your juniors

12. Write an article in 150-200 words on the topic ‘Poverty is the cause of all evils’

to be published in the ‘Young World’ column on the ‘The Hindu’ Chennai.

13. Write a report in about 125 words on the ‘No Tobacco Day’Organised by your

school

14. . You have attended a seminar on how to decrease the burden of studies on

school going children. Write a report in 100-125 words for your school

magazine. You are Ravi/Raveena of Guru Nanak Public School, Kanpur.

15. As president of the students’ forum write a speech to be delivered at the

morning assembly on “Unhealthy Effect of Homework on Children” (200 words).

16. Read any two of the following books and write the book review.

Blue Umbrella-Ruskin Bond

Hot Chocolate is thicker than Blood- Rupa Gulat

The God of Small Things- Arundhathi Roy

i. Author Synopsis

ii. Plot

iii. Characters

iv. Critical Appreciation

17. Do the note making and summary of the following two passages.

I. On the basis of your reading of the above passage make notes on it , in points

only using headings and sub-headings. Use recognizable abbreviations

(wherever necessary-minimum 4) and a format you consider suitable . Also

supply an appropriate title to it.

II. Write the summary in 80 words.

II. Write the summary in 80 words.

HOLIDAYS ASSIGNMENT

SUBJECT: ACCOUNTANCY

CLASS: XII

1. Ram and Raj, decided to do business of fashion garments together under the name of

Mr. Beauty fashion wear. They joined hands as Ram was a good fashion designer and on

the other hand Raj was experienced in marketing such products. They purchased a

commercial space of 500Sq. feet for Rs.5, 00,000. The space so purchased was suitably

decorated to make it fit for such trade. They further invested Rs.1, 00,000 on decoration.

They had invested the above Rs.6, 00,000 by borrowing Rs.3, 00,000 from State Bank

and balance amount was brought equally by Ram and Raj. 30th June, 2016. Annual rate

of Interest is 12%.

Bank Loan and interest repaid in the first year are as follows:

June 30, 2016 = (Rs15, 000+ Rs.9000 interest)

Sept. 30, 2016 = (Rs.15000+ Rs.8, 550 interest)

Dec. 31, 2016 = (Rs15000+ Rs8, 100 interest)

March 31, 2017 = (Rs15000+ Rs7, 650 interest)

They started business on 1st April 2016. Both the partners decided to deposit

Rs.1, 00,000 each in the bank. They deposited Rs.5, 000 for the electricity connection

with BSES Rajdhani power Ltd. They paid a deposit of Rs. 2,000 to MTNL for

telephone connection. They also purchased furniture Rs.10, 000.

All payments were to be made by cheques. All the receipts in cash were to be deposited

in the bank on the same day. They have also decided to share profit equally.

At the end of the year, their results showed the following:

(Rs.)

Total sales 20, 00,000

Total purchase 17, 00,000

Electricity Expenses 40,000

Telephone charges 50,000

Cartage outward 60,000

Travelling Expenses 45,000

Entertainment Expenses 5,000

Maintences Expenses 25,000

Miscellaneous Expenses 15,000

Electricity Expenses 20,000

They withdrew Rs.25, 000 by cheque each month for their personal expenses.

They paid the bank loan regularly.

They are desirous to expand business.

1. Journalise the above transactions. Post them into the Ledger and prepare the Trial

Balance.

2. Prepare the profit and Loss account and Balance sheet. Charge depreciation @5%

on building and 10% on Furniture. Closing stock at the end of the year was Rs.5,

50,000.

3. Calculate the profitability Ratios.

4. They approached the bank for further loan. Compute the ratios that the banker will

require before granting the loan(Solvency Ratios)

5. Compute the ratio that you consider appropriate for analyzing the performance.

6. Prepare the Cash Flow Statement and give your comments.

7. Industry standard of similar business are as follows:

a. Goss profit Ratio 30%

b. Net profit Ratio 15%

c. Return on Capital Ratio 25%

d. Proprietary Ratio 1

e. Stock Turnover Ratio 4.50

f. Working capital Turn Over Ratio 4

g. Fixed Assets Turn Over Ratio 6.00

h. Current Assets Turn Over Ratio 5.

2. The following data are extracted from the published accounts of two companies in an

industry for the year ended 31st March, 2015:

particulars ABC LTD. (RS.) PQR LTD. (RS.)

Sale 32,00,000 30,00,000

Net Profit after Tax 1,23,000 1,58,000

Equity Share Capital(Rs.

10/share fully paid)

10,00,000 8,00,000

General Reserve 2,32,000 6,42,000

6% Long-Term Debt 8,00,000 6,60,000

Creditors 3,82,000 5,49,000

Tax paid 50,000 60,000

Bank credit(Short-Term) 60,000 2,00,000

Fixed Assets 15,99,000 15,90,000

Inventories 3,31,000 8,09,000

Other current Assets 5,44,000 4,52,000

You are required to prepare a statement of Comparative ratios showing liquidity,

Profitability, activity and financial position of the two companies and give your

comments.

3. List the items which are shown under the heading ‘Current Liabilities and Provisions’

as per Schedule VI, Part 1 of Companies Act, 1956.

4. List the items which are shown under the heading ‘ Current Assets’ and Loans and

Advances’ in the Balance sheet of a company as per provision of Schedule VI, Part 1 of

Companies Act, 1956.

Integrated Indian School Kuwait

Biology Holiday assignment

Class - XII (2018-2019)

1. Why do moss plant produce very large number of male gametes?

Provide one reason. What are these gametes called?

2. Why do algae and fungi shift to sexual mode of reproduction just

before the onset of adverse conditions?

3. Why is coconut plant considered as monoecious?

4. A moss plant produces large number of antherozoids, but relatively

only a few egg cells. Why?

5. Why is it difficult to get rid of ‘Water hyacinth’ from a water body?

Name one abiotic component and one biotic component of the

ecosystem that gets affected by its spread in the water body.

6. Mention the unique features with respect to flowering and fruiting in

bamboo species.

7. How are Cucurbita plants different from papaya plants with reference

to the flowers they bear?

8. Suggest two advantages to farmer of using apomictic seeds of hybrid

varieties.

9. Describe the development of endosperm after double fertilization in

an angiosperm. Why does endosperm development precede that of

zygote?

10. Draw a labeled diagram of the sectional view of microsporangium of

an angiosperm.

11. State the function of filiform apparatus found in mature embryo sac of

an angiosperm.

12. What id pollen- pistil interaction and how is it mediated?

13. Explain three advantages the seeds offer to angiosperm.

14. Differentiate between: Autogamy, Geitonogamy and Xenogamy.

15. Explain double fertilization and trace the post-fertilisation events in

sequential order leading to seed formation in a typical dicotyledonous

plant.

16. Why an apple is called as false fruit and a banana a parthenocarpic

fruit? Explain.

17. Name the stage of human embryo at which it gets implanted. Explain

the process of implantation.

18. Explain the development of a secondary oocyte (ovum) in a human

female from the embryonic stage upto ovulation. Name the hormone

involved in this process.

19. Explain the hormonal control of spermatogenesis in human.

20. Differentiate between the major structural changes in the human ovary

during the follicular and luteal phase of the menstrual cycle.

21. What is amniocentesis? How is it misused?

22. How do copper and hormone releasing IUDs act as contraceptives?

23. Why did T. H. Morgan select Drosophilia melanogaster to study sex-

linked genes for his lab experiment?

24. When do a genesist need to carry out a test cross? How is it carried

out?

25. Explain the genetic basis of blood grouping in human population.

26. State and explain the law of dominance proposed by Mendel.

27. With the help of one example, explain the phenomenon of

codominance and multiple allelism in human population.

28. Why is the possibility of a human female suffering from haemophilia

rare. Explain.

29. Explain the process of replication of a retrovirus, after it gains entry

into the human body.

30. Write the life cycle of malarial parasite in the human body when

bitten by an infected female Anopheles.

BUSINESS STUDIES HOLIDAY HOMEWORK CLASS – XII

1. Solve the Mid Term – 1 question paper. 2. Prepare a Project Report for CBSE Annual Examination. 3. Case Studies:

A. A Company wants to modify its existing product in the market due to decreasing sales. You can imagine any product about which you are familiar. What decisions/steps should each level of management take to give effect to this decision?

B. Mega Ltd. was manufacturing water-heaters. In the first year of its operations, the

revenue earned by the company was just sufficient to meet its costs. To increase

the revenue, the company analysed the reasons of less revenue. After analysis

the company decided

To reduce the labour cost by shifting the manufacturing unit to a backward area where labour was available at a very low rate.

To start manufacturing solar water-heaters and reduce the production of electric water-heaters slowly. This will not only help in covering the risks, but also help in meeting other

objectives too.

a) Identify and explain the objectives of management discussed above. b) State any two values which the company wanted to communicate to the

society.

HOLIDAY ASSIGNMENT [2018 – 2019]

ECONOMICS

CLASS: XII

1. Prepare a project work for economics (for CBSE Annual Examination)

2. Make a study guide for economics from completed chapters.

3. Write answers of 1st Mid Term Examination 2018.

INTEGRATED INDIAN SCHOOL

CHEMISTRY HOLIDAY ASSIGNMENT

2018-2019

CLASS 12- SCIENCE

1) Account for: (a) Schottky defect lower the density of related solid (b) Conductivity of silicon increases on doping it with phosphorus 2) How will you distinguish between: (a) Crystal lattice and unit cell (b) Tetrahedral and octahedral 3) An element with molar mass at g/mol forms a cubic unit cell with edge 4.05 x 10^ -8 cm. If density is 2.7 g cm^ -3, what is the nature of the cell? 4) A compound is formed by two elements M and N, the elements N forms CCP and atoms occupy one third of tetrahedral void. What is the formula of the compound? 5) How many crystals constitute one unit cell of FCC crystal? 6) What is a semiconductor? Describe the two main types of semiconductor and explain its mechanism of conduction. 7) An element with density 11.2 g cm^-3 forms FCC lattice with edge length 4 x 10^ -8 cm. Calculate the atomic mass. 8) The density of water of a lake is 1.25g and one kg of this water contains 92g of Na^+ ions. What is the molarity of Na^+ ions in the water of the lake?

9) A solid with cubic crystal is made up of two elements P and Q atoms of Q are at the corner of the cube and P at the body centre. What is the formula of the compound? 10) In terms of Band Theory, What is the difference between conductor, semiconductor and insulator? 11) Calculate the boiling point elevation for a solution, prepared by adding 1g of CaCl2=111 g/mol. 12) A solution containing 15g urea(molar mass=60 g/mol) per litre of solution in water has the same osmotic pressure as a solution of glucose(molar mass=180) in water. Calculate the mass of glucose present in one litre of its solution. 13) State Raoult’s law for solutions of volatile liquids and explain the terms ‘negative deviation’ and ‘positive deviation’. 14) State Kolhrausch’s law of independent migration of ions. Mention one application of this law. 15) A solution of glycerol in water was prepared by dissolving some glycerol in 500g of water, the solution ha BP of 100.42 degree Celsius. What mass glycerol was dissolved to make this solution? 16) Define the term osmotic pressure with any suitable example or application. 17) State Henry’s law correlating the pressure of a gas and its solubility in a solvent. Mention two applications of the law. 18) Define: (a) Isotonic solution (b) Vant Hoff factor 19) An aqueous solution of copper sulphate was electrolysed between electrode using a current 0.1287 A for 50 minutes: (a) Write the cathode reaction (b) Electric Charge passed during electrolysis (c) Mass of copper deposited (Atomic mass of Cu=63.5) 20) Calculate the EMF of the following cell Ag|Ag^+ (10^ -3) || Cu^+2 (10^-1)|Cu. Given (Eo cell= +0.46 and log 10n= n). 21) A copper silver cell is setup. The copper ion conc. is 0.10M. The conc. of silver ion is not known. The cell potential is 0.422V. Determine the conc. of silver ion (Eo Ag^+|Ag = +0.80V, Eo Cu^+2|Cu= +0.34V). 22) The molar conductivity of a 1.5M solution of an electrolyte is found to be 138.9 Scm^2mol^-1. Calculate the conductivity of this solution. 23) The electrical resistance of column of 0.05M NaOH solution of a diameter 1cm and length 50cm is 5.55 x 10^3 ohm. Calculate its resistivity, conductivity and molar conductivity.

24) (a) Name the process observed when pressure on solution side is more than osmotic pressure. (b) Write the main use of this process. (c) Mention the values associated with the above pressure. 25) In Apollo space programs, Hydrogen-Oxygen fuel cell was used. (a) Explain why fuel cell is preferred in space programs? (b) Mention the values associated with the decision of using fuel cell.

HOLIDAY ASSIGNMENT CLASS XII COMPUTER SCIENCE (CODE: 083)

SECTION A

Completion of Practical file Completion of Project on given topic

SECTION B Answer the following questions:

1(a) What do you mean by data encapsulation ?How is it implemented?

1(b) Name the header files to which the following belong: (i) isalnum() (ii) abs()

1(c) Rewrite the corrected code for the following program. Underline each correction (if any): #include<iostream.h> structure Swimmingclub {

int mem number; char memname[20]; char memtype[]="LIG";

}; void main() {

Swimmingclub per1,per2; cin<<"Member Number:"; cin>>memnumber.per1; cout<<"Member Name:"; cin>>per1.membername; per1.memtype="HIG"; per2=per1; cin<<"Member Number:"<<per2.memnumber; cin<<"Member Name"<<per2.memname; cin<<"Member Number:"<<per2.memtype;

}

1(d) What will be the output of the following program:

#include<iostream.h> #include<ctype.h> #include<conio.h> #include<string.h> void ChangeString(char Text[], int &Counter) {

char *Ptr=Text; int Length=strlen(Text); for(;Counter<Length-2;Counter+=2,Ptr++) {

*(Ptr+Counter)=toupper(*(Ptr+Counter)); }

} void main() {

clrscr()' int Position=0; char Messages[]="Pointer Fun"; ChangeString(Message,Position); cout<<Message<<'@"<<Position;

}

1(e) Find the output of the following program: #include<iostream.h> #include<ctype.h> #include<string.h> void Convert(char Str[], int Len) {

for(int Count=0; Count<Len;Count++) {

if(isupper(Str[count])) Str[Count]=tolower(Str[Count]);

else if(islower(Str[Count])) Str[Count]=toupper(Str[Count]);

else if(isdigit(Str[Count])) Str[Count]=Str[Count]+1;

else Str[Count]='*'; }

} void main() {

Char Text[]="CBSE Exam 2005"; int Size=strlen(Text); Convert(Text,Size); for(int C=0,R=size-1;C<=Size/2;C++,R--) {

char Temp=Text[C];

Text[C]=Text[R]; Text[R]=Temp;

} cout<<Text<<endl;

}

1(f) What is the difference between call by value and call by reference? Give example. ?

2(a)

What is the difference between private and protected data members of a class?

2(b)

Answer the questions (i) and (ii) after going through the following class: class Exam {

int year; public:

Exam(it y) { year=y; } //Constructor 1 Exam(Exam &t) //Constructor 1

}; (i) Create an object, such that it invokes Constructor 1. (ii) Write complete definition for constructor 2.

2(c)

Define a class STOCK in C++ with the following description: Private members

ICode of type integer (Item Code) Item of type string (Item Name) Price of type float (Price of each item) Qty of type integer (Quantity in stock) Discount of type float (Discount percentage on the item) A member function FindDisc() to calculate discount percentage as per the

following rule: If Qty <=50 Discount is 0 If50<Qty<=100 Discount is 5 IfQty>100 Discount is 10 Public members

A function Buy() allow user to enter values for ICode, Item, Price, Qty and call function FindDisc() to calculate Discount.

A function Show All() to allow user to view the content of all the data members.

void IDisplay();

}; (i) Which type of Inheritance is depicted by the above example?

(ii) Identify the member function(s) that cannot be called directly from the objects of class Institute from the following:

TEntry() LDisplay() IEntry()

(iii) Write name of all the member(s) accessible from member functions of class Institute. (iv) If class Institute was derived privately from class Learner and privately from class Trainer, then, name the member function(s) that could be accessed through Objects of class Institute.

3(a) void main() (1) {

char ch='A'; fstream fileout("data.dat",ios::out); fileout<<ch; int p=fileout.tellg();

cout<<p; }

2(d) Answer the question (i) to (iv) based on the following code: class Trainer {

char TNo[5], TName[20], Specialisation[10]; int Days; protected: float Remuneration; void AssignRem(float); public: Trainer(); void TEntery(); void TDisplay();

}; class Learner {

char regno[10], LName[20],Prpgram[10]; protected: int Attendeance, Grade; public: Learner(); void LEntery(); void LDisplay();

}; class Institute:public Learner, public Trainer {

char ICode[10],IName[20]; public: Institute(); vod IEntry();

What is the output if the file content before the execution of the program is the string “ABC” (Note that “ “ are not part of the file).

3(b) Assuming that a text file named TEXT.TXT already contains some text written into it,

write a function named vowelwords(), that reads the file TEXT1.TXT and creates a new file named TEXT2.TXT, which shall contains only those words from the file TEXT1.TXT which don’t start with an uppercase vowel(i.e., with ‘A’, ‘E’, ‘I’, ‘O’, ‘U’). For example, if the file TEXT1.TXT contains

Carry Umbrella And Overcoat When it Rains then the file TEXT.2TXT shall contain Carry When it Rains

3(C)

Assuming the class Vehicle as follows: class vehicle {

char vehicletype[10]; int no_of_wheels; public: void getdetails() {

gets(vehicletype); cin>>no_of_wheels;

} void showdetails() {

cout<<"Vehicle Type"<<vehicletype; cout<<"Number of wheels="<<no_of_wheels;

} }; Write a function shoefile() to read all the records present in an already existing binary file SPEED.DAT and display them on the screen, also count the number of records present in the file.

3 (d) Create a function sroot () that returns the square root of its argument. Overload sroot in three ways: have it returned the square root of an integer, a long integer and a double. 3 (e) Differentiate between Public and Protected visibilities in context of Object Oriented Programming giving suitable examples for each.

***********************

HOLIDAY ASSIGNMENT CLASS XII INFORMATICS PRACTICES (CODE: 065)

SECTION :A

Completion of Practical file Completion of Project on given topic

SECTION :B Answer the following questions:

I.(a)What is event driven programming? (b)Name the method to set the value of jTextField. (c)What is the difference between '=' and '==' operator? (d)Give the name of the ternary operator. (e)Write Java code that takes value for side of a square in jTextField1 and calculate area of it to be displayed in jTextField2 (f)A worker_Id consisting of 4 digits is stored in a string variable StrWrkId.Now Mr.Jai Wants to store this Id in integer type of variable IntwrkId. Write a Java statement to do this (g)Define a variable. How can you declare a variable? II.(a)What is the effect of absence of break in switch statement? (b)What is exit control loop? ©Use an if statement to compare the value of an integer called sum against the value 65 and if it is less, print the text string "sorry, try again" (d)Rewrite the following program code using a switch statement.

If(code==1) Month = 'January'; Else if(code==2) Month = 'February'; Else if (code==3) Month='March'; Else if(code==4) Month='April'; Else Month='no match'; (e) The following code has some error(s).Rewrite the correct code underlining all the corrections made. Int k=2;sum=0; { Sum =k; K+=3; } While(k<=20) jTextField1(Integer.toString(sum)); (f)What will be the values of variables 'm' and 'n' after the execution of the following code? Int m,n=0; For(m=1;m<=4;m++)

{ n+=m; n--; }

(g) Ms. Neelam works as a programmer in “Kidz Entertainment Zone”. She has designed a Registration Page to calculate the total fee of summer camp depending upon the number of activities selected by the user considering age eligibility as well. A screenshot of the same is shown below

Help her in writing the code to do the following: i After entering the age in the specified text field, when „Chk Eligibility‟button is clicked, a dialogue box should be displayed with a message “Welcome” if age is in between 3-13 years else the program should be terminated after displaying the message “Sorry! You are either underage or overage!!”. ii. After selecting the desirable activities, total fee should be displayed in the specified text field on the click of “Proceed” button at the rate of Rs. 1000 per activity. iii. A discount of 20% is applicable if more than one activity is chosen by the user. iv. After clicking on the “Net Fee” button, Net Fee should be calculated and displayed in the respective text field as per the given formula:

i. NetFee = Fee – Discount

HOLIDAY HOME WORKS 2018-19

Subject Mathematics

Class XII

1) Prove the following :

Cos [tan−1{sin( cot−1 𝑥 )}] = √1+ 𝑥2

2+ 𝑥2

2) If tan−1 𝑥 + tan−1 𝑦 + tan−1 𝑧 = 𝜋

2 , x , y, z > 0,

then find the value of xy + yz + zx

3) If (tan−1 𝑥)2 + (cot−1 𝑥)2 = 5𝜋2

8,then find x .

4) Solve for x : 2 tan−1(𝑠𝑖𝑛𝑥) = tan−1(2 sec 𝑥 ) , x ≠ 𝜋

2

5) Solve for x : 2 tan−1(𝑐𝑜𝑠 𝑥) = tan−1(2 𝑐𝑜𝑠𝑒𝑐 𝑥 )

6) Solve : cos (tan−1 𝑥) = sin(cot−1 3

4)

7) If 0 < x < 1, then solve the following for x .

tan−1(𝑥 + 1 ) + tan−1(𝑥 − 1) = tan−1 8

31

8) Solve tan−1(𝑥 − 1) + tan−1 𝑥 + tan−1(𝑥 + 1) = tan−1 3𝑥

9) Solve: tan−1 1−𝑥

1+𝑥 =

1

2 tan−1 𝑥, x > 0.

10) Prove that : tan−1 (𝑐𝑜𝑠𝑥

1+𝑠𝑖𝑛𝑥 ) =

𝜋

4−

𝑥

2 , x ∈ (−

𝜋

2 ,

𝜋

2)

11) Prove that : tan−1 (63

16) = sin−1 (

5

13) + cos−1 (

3

5)

12) Prove that : tan−1 𝑥 + tan−1 (2𝑥

1−𝑥2) = tan−1 (3𝑥−𝑥2

1−3𝑥2)

13) Prove that : cos (sin−1 3

5+ cot−1 3

2) =

6

5√13

14) Find the distance between the planes 2x – y + 2z = 5 and 5x – 25y + 5z = 20

15) Find the coordinates of the point where the line through the points ( 3, -4, −5 ) and (

2,-3,1) crosses the plane determined by the points ( 1,2,3) ,( 4,2,-3 ) and ( 0, 4, 3)

16) Write the sum of intercepts cut off by the plane 𝑟. (2𝑖̂ + 𝑗̂ − �̂�) − 5 = 0 on the three

axes.

17) Find the equation of the plane which contains the line of intersection of the planes

𝑟 . ( 𝑖̂ − 2𝑗̂ + 3�̂�) − 4 = 0 𝑎𝑛𝑑 𝑟 . (−2𝑖̂ + 𝑗̂ + �̂�) + 5 = 0 and whose intercept on

x-axis is equal to that of on Y-axis.

18) Find the scalar components of 𝐴𝐵⃗⃗⃗⃗ ⃗⃗ with initial point A (2,1 ) and terminal point B (

−5, 7 ).

19) Vectors �⃗� , �⃗⃗� and 𝑐 are such that �⃗� + �⃗⃗� + 𝑐 = 0⃗⃗ and |�⃗�| = 3, |�⃗⃗�| = 5 and |𝑐| = 7 Then ,

find the angle between |�⃗�| and |�⃗⃗�|.

20) Let �⃗� , �⃗⃗� and 𝑐 be three vectors of magnitudes 3, 4 and 5 , respectively. If each one is

perpendicular to the sum of the other two vectors, then prove that

|�⃗� + �⃗⃗� + 𝑐| = 5√2 .

21)Show that the four points A, B, C and D with position vectors 4 𝑖̂ −5 𝑗̂ + �̂� ,

−( 𝑗̂ + �̂� ), 3 𝑖̂ +9 𝑗̂ +4 �̂� and 4 ( −𝑖̂ + 𝑗̂ + �̂� ), respectively are coplanar.

22)A factory owner purchases two types of machines, A and B for his factory. The

requirements and the limitations for the machines are as follows :

He has maximum area of 9000 m2 available, and 72 skilled labourers who can operate

both the machines. How many machines of each type should he buy to maximise the

daily output?

23) A diet is to contain at least 80 units of Vitamin A and 100 units of minerals. Two

foods F1 and F2 are available. Food F1 costs ₹ . 4 per unit and F2 costs ₹ 6 per unit.

One unit of food F1 contains 3 units of Vitamin A and 4 units of minerals. One unit of

food F2 contains 6 units of Vitamin A and 3 units of minerals. Formulate this as a

linear programming problem and find graphically the minimum cost for diet that

consists of mixture of these two foods and also meets the minimal nutritional

requirements.

24)

25)

HOLIDAY ASSIGNMENT

PHYSICS : CLASS XII

WORKSHEET (to be answered in paper)

ELECTROSTATICS:

1. State Gauss’s theorem in electrostatics. Apply this theorem to derive an

expression for electric field intensity at a point near an infinitely long straight

charged wire.

2. Explain the underlying principle of working of a parallel plate capacitor.

3. A 20 µF capacitor is charged by a 30 V d.c. supply and then connected across

an uncharged 50 µF capacitor. Calculate

i. the final potential difference across the combination.

ii. Initial and final energies. How will you account for the difference in

energies?

4. The battery remains connected to a parallel plate capacitor and a dielectric slab

is inserted between the plates. What will be the effect on its

i. capacity

ii. charge

iii. potential difference

iv. electric field

v. energy stored?

5. An electric dipole is held in a uniform electric field.

i. Show that no translatory force acts on it.

ii. Derive an expression for the torque acting on it.

iii. The dipole is aligned parallel to the field. Calculate the work done in

rotating it through 1800

6. If two similar plates, each of area A having surface charge densities +σ and –σ

are separated by a distance ‘d’ in air, write the expressions for

i. The electric field at points between the two plates.

ii. The potential difference between the plates.

iii. The capacitance of the capacitor so formed.

7. Define the term electric potential due to a point charge. Calculate the electric

potential at the centre of a square of side √2 m, having charges 100 µC, -

50µC, and 20µC and-60µC at the four corners of a square.

8. Two point charges, q1 =10×10-8 C and q2 = -2×10-8 C are separated by a

distance of 60 cm in air.

i. Find at what distance from the 1st charge, q1, would the electric

potential be zero.

ii. Also calculate the electrostatic potential energy of the system.

9. Two capacitors of capacitance 6µF and 12µF are connected in series with a

battery. The voltage across the 6µF capacitor is 2V. Compute the total battery

voltage.

10. An electric dipole is free to move in a uniform electric field. Explain its

motion when it is placed

i. parallel to the field,

ii. perpendicular to the field.

11. An electric dipole of length 10 cm having charges ± 6×10-3 C, placed at 300

with respect to a uniform electric field experiences a torque of 6√3 N-m.

Calculate

i. magnitude of electric field

ii. the potential energy of the dipole.

12. Electric charge is distributed uniformly on the surface of a spherical rubber

balloon. Show how the value of electric intensity and potential vary

i. on the surface

ii. inside and

iii. outside?

13. Draw an equipotential surface for a system, consisting of two charges Q, -Q

separated by a distance ‘r’ apart.

14. Show graphically the variation of charge ‘q’ with time’t’ when a condenser is

charged.

15. What orientation of an electric dipole in a uniform electric field would

correspond to stable equilibrium?

CURRENT ELECTRICITY

1. Define the following terms

(i)Electromotive force

(ii)Drift velocity

(iii)Relaxation time

(iv)Internal resistance of a cell

(v)Resistance

2. The resistance of a copper wire at 27 0C was found to be 100Ω and at 127 0C

was found to be 105Ω. Find the temperate coeff of resistance

3. An aluminium wire has a resistance of 10Ω at 27 0C. The wire is heated to a

temp of 527 0C. Find its new resistance if α = 10-3

4. Explain how a potentiometer can be used to compare the emf of 2 primary

cells.

5. A potentiometer of length 4m is connected across 100V Power supply. It is

then used to compare the emf of 2 primary cells. The balance point obtained

with cell E1 is 1.5m and with cell E2 is 2m. Find the ratio E1/E2. How can a

potentiometer be made more sensitive?

6. Potentiometer wire is of length 4m and has a resistance of 10ohms. It is

connected in series with a resistance of 90 ohm to 200V power supply.

Balance length for an unknown emf E is found to be 3m. Find the unknown

value E.

7. A student while performing the potentiometer experiment could not obtain a

null point. Mention two possible mistakes that he could have made.

8. Two wires A and B are made of the same material, have the same area but

lengths are in the Ratio 2:1. What will be ratio of current flowing through

them when the same potential is applied across each of them?

9. Resistors of 2,3 and 6 ohm are connected in parallel across a 20 Volts power

supply. Find the current, voltage and power loss in each resistance.

10. Explain the balancing condition for a wheatstones bridge. Explain the working

of meterbridge to find the value of unknown resistance.