Upload
hathu
View
225
Download
1
Embed Size (px)
Citation preview
Integrated Indian school, Kuwait
Holiday assignment 2017-18
Class xii – b (science stream)
‘Lazy hazy summer days,
Unwind slowly, sun ablaze
Sweetly scented air abounds,
Let’s have some fun and jump around!’
A holiday is supposed to be a break from studies,
explanations and completing tasks. But are holidays
supposed to make us irresponsible kids? NO. So, we’re
going to take up certain responsibilities to prepare for the
forthcoming board exams and also enjoy our holidays
with our Families.
INSTRUCTIONS:
All the given assignments must be completed and
submitted to the respective subject teachers.
Last date : 14th August 2017
A screening test from the given worksheets will be
conducted.
english
Physics
SECTION A: WORKSHEET
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.
MAGNETIC EFFECTS OF CURRENT
1. A current of 10 A flows through a straight wire. Calculate the magnitude
of magnetic field at a point 2 cm away from the wire.
2. A long straight wire carries a current of 35 A. What is the magnitude of the
field B at a point 20 cm from the wire?
3. A current of 10 A flows through a circular coil of 1000 turns and radius
0.1m. Find the magnitude of magnetic field at the centre of coil and at the
end of coil.
4. A circular coil of wire consisting of 100 turns, each of radius 8.0 cm
carries a current of 0.40 A. What is the magnitude of the magnetic field B
at the centre of the coil?
5. A long straight wire in the horizontal plane carries a current of 50 A in
north to south direction. Give the magnitude and direction of B at a point
2.5 m east of the wire.
6. A horizontal overhead power line carries a current of 90 A in east to west
direction. What is the magnitude and direction of the magnetic field due to
the current 1.5 m below the line?
7. What is the magnitude of magnetic force per unit length on a wire carrying
a current of 8A and making an angle of 30º with the direction of a uniform
magnetic field of 0.15 T?
8. A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid
perpendicular to its axis. The magnetic field inside the solenoid is given to
be 0.27 T. What is the magnetic force on the wire?
9. A closely wound solenoid 80 cm long has 5 layers of windings of 400
turns each. The diameter of the solenoid is 1.8 cm. If the current carried is
8.0 A, estimate the magnitude of B inside the solenoid near its centre.
10. A current of 10 A flows in a circular coil of 1000 turns and radius 0.1 m.
Find the magnitude of the magnetic field at the centre of the coil
SECTION B: RECORD WORK
Complete the practical record for section A (7 experiments)
SECTION C: PROJECT
Prepare a working model based on any of the following topic:
Electricity
Magnetism
Optics
Electronics
Make a project report (of the model) comprising:
Aim of the project
Theory
Materials used
Procedure
Uses
Scope for improvisation
Chemistry
I. WORKSHEET BASED ON CBSE BOARD EXAM PAPERS
I. SHORT ANSWER QUESTIONS
1. .How many atoms constitute one unit cell of F. C.C crystal
2. Account for (1) Schottky defect lower the density of related solid (2) conductivity of
silicon increases on doping it With phosphorous
3. A Solid with Cubic crystal is made up of two elements P and Q Atoms of Q are at th
e corner of the cube and pat the body centre what is the formula of the compound .
4. How will you distinguish (1) Crystal lattice and unit cell (2) Tetrahedral and octahed
ral void
5. what is a semiconductor ? Describe the two main types of semiconductors explains
the Mechanism of conduction
6. In terms of band theory what is the difference between Conductor, semiconductor ,
insulator
7. why does Licl acquire pink colour when heated its Li vapours
8. State Henry’s law correlating the pressure of a gas and its solubility in a solvent mention
two applications of the law
9. State Raoult’s law for solutions of volatile liquids. Taking suitable examples explain the
meaning of positive and negative deviations from Raoult’s law.
10. Define the term osmotic pressure. 11. define (1) Isotonic solution (2) Vant Hoff factor
12. state Kohlrausch's law of independent migration of ion . Mention one application of
these law
13. Describe how molar Conductivity varies for strong and weak electrolytes during the
change in Concentration 14. what type of a battery is lead storage battery? write anode and Cathode reaction and
the overall cell reaction occuring in the operation of a lead storage battery
15. what are lyophilic and lyo phobic colloid ? which of these sols Can be easily coagula
ted on the additions of Small amount of electrolyte
16. what is the difference between oil / water and water/oil type emulsion? Give an
example 17. what is the difference between multi molecular and macromolecular colloid ? Give a
n example
18. Define the term (1) Associated colloid (2) peptization (3)Kraft temperature (4)Micell
e
19. write the dispersed phase and dispersion medium of the following colloid (1)Smoke
(2)milk (3)Cheese (4) Fog (5) butter
20. write the name of monomer used for getting the following polymers (1) Teflon
(2) Buna-N (3)Terylene (4) Nylon 6.6 (5) Bakelite (6) Neoprene (7) Nylon-6 (8) Pol
ythene (8) polystyrene (9) Dacron (10) Buna-s
II.NUMERICALS
1. An element with molar mass at gmo1 -1
forms a cubic unit cell with edge
4.05 × 10-8
cm. if its density is 2.7 gcm-3
. what is the nature of unit cell
2. An element with density 11.2gcm-3 forms fcc lattice with edge length 4x 10
-8 cm
.
Calculate the atomic mass :
3. A compound is formed by two elements M and N the element N forms CCP and
atoms occupy one by third of tetrahedral void what is the formula of the compoun
d
4. The density of water of a lake is 1.25 g (mL)–1 and one kg of this water contains 92 g of
Na+ ions. What is the molarity of Na+ ions in the water of the lake? (Atomic mass of Na
= 23.00 u
5. A solution of glycerol in water was preparedby dissolving some glycerol in 500g
of Water, the solution has B. P of 100.42°C. what mass glycerol was dissolved t
o Make this solution (kb for water = 0.512 kkgmol-1 6. A Solutions containing 15g area(molar mass= 60 gmol-I) per litre of Solution in
water has the same osmotic pressure as a Solution of glucose(molar mass = 180)i
n water. calculate the mass of glucose present in one litre of Its solution 7. Calculate the boiling point elevation for a solution, prepared by adding 1g of cacl2
to 200g of Water (kb for water = 0.512kkgmol-l Molar mass of Cacl2 =111gmo1-
1
8. Resistance of a conductivity an filled with 0.1 mol L-l Kcl solution is 100Ω. If the
resistance of the same cell when filled with 0.02M Kcl solution is 520Ω Calculate
the conductivity and molar conductivity of 0. 02M kcl Solution. the conductivity
of 0.IM Kcl solution is 1.29× 10-2Ω-1 cm
9. An aqueous Solution of copper sulphate was electrolysed between pt electrode
using a current of 0.1287A for 50 minute (1) write the cathode reaction (2) Electr
ic charge passed during electrolysis (3)Mass of copper deposited (Atomic mass o
f Cu= 63.5
10. calculate the emf of the following cell Ag/Ag+(10-3)// Cu2+(10-1)/Cu Given
Eo cell= +0.46 and log10n =n
11. A copper-silver cell is setup. The copper ion conc. is 0.10 M. The conc. of Silver
ion is not known. the cell potential is 0.422 V. Determine the ConC. of silver ion
(EoAg+/Ag=+0.80V E0Cu2+/Cu=+0.34V
12. Calculate emf andGo for the following cell Mg/Mg2+(10-3M) // Cu2+(10-4)/C
u
Given Eo Mg2+ /Mg=-2.36 V EoCU2+/cu = +0 •34V l F=96500
13. The electrical resistance of a column of 0.05 M NaOH solution of diameter 1 cm and
length 50 cm is5.55 × 103 ohm. Calculate its resistivity, conductivity and molar
conductivity.
14. The molar conductivity of a 1.5 M solution of an electrolyte is found to be 138.9 S cm2
mol–1.Calculate the conductivity of this solution.
15. The electrical resistance of a column of 0.05 M NaOH solution of diameter 1 cm and
length 50 cm is5.55 × 103 ohm. Calculate its resistivity, conductivity and molar
conductivity.
III. VALUE BASED QUESTIONS
1.Scuba divers when come towards the surface, the pressure gradually decreases resulting in the released
of dissolved gases leading to formation of bubbles of nitrogen gas in the blood which blocks the
capillaries and thus harmful kinds are created. To avoid bends and toxic effects of high concern of
nitrogen gas, the air is diluted with helium. After reading the above passage, answer the following
questions.
i) Why is the harmful condition of bends overcome by the use of helium.
ii) Which law is used to calculate the concentration of gases in solution.
iii) Mention the value associated with providing divers air diluted with helium.
2. Ram takes a open pan to cook vegetables at a hill station while shyam cook the same vegetables in a
pressure cooker at the same place.
(a) Explain with reason who will cook vegetable faster.
(b) Mention the reason for the delay in cooking.
(c) Which value is learnt by the student in the process of cooking food in the pressure cooker.
3.
a) Name the process observed when pressure on solution side is more than osmotic pressure.
(b) Write main use of this process.
(c) Mention the values associated with the above process.
4. Reena planted neem tree in school premisses and Meena planted Neem tree in marshy land near
railway line.
(a) Which student planted Neem tree correctly and why?
(b) Name the chemical substances used to stop decay of such plants.
(c) Mention the values by the plantation.
5. People are advised to limit the use of fossil fuels resulting in Green House Effect leading to a rise in
the temperature of earth. Hydrogen provides an ideal alternative and its combustion in fuel cells.
1. White electrode reaction in H2-O2 fuel cell.
2. How is green house effect reduced by the use of fuel cells?
3. Write the values associated with preference of using fuel cells to fossil fuel.
6. In Apollo Space programs, hydrogen-oxygen fuel cell was used.
(a) Explain why, fuel cell is preferred in space programme.?
(b) Mention the values associated with the decision of using fuel cell?
7. Ira a student of science went with her grandfather to buy a battery for their inverter and camera. They
found two types of batteries, one a lead storage battery and other a Nickel-Cadmium storage battery.
Later was more expensive but lighter in weight. Ira insisted to purchase costlier Nickels-Cadmium
battery.
(a) In your opinion, why Ira insisted for Nickel-Cadmium battery? Give reasons
(b) Write the values associated with above decision?
8. Shyam’s father wants to buy a new car. In the market various options are available. Shyam persuades
his father to buy a hybrid car which can run both on electricity as well as on petrel.
(i) Mention the values associated with this decision.
(ii) Name the battery used for running the car.
(iii) Write the reactions taking place at the anode and cathode of battery.
9. Smoke is colloidal solution of solid particles such as Carbon, arsenic compounds dust, etc. in air
. Precipitation of smoke particles coming form the chimney of factories is carried out by Cottrel
Precipitator and Carbon free air passes out through the chimney.
(a) Name the principle used in the Cottrel Precipitator.
(b) How smoke precepitator causes precipitation and settling of smoke particles.
(c) Name the value learnt by the use of this Cottrel Precipitator.
10. While coming back from school, a student witnesses an accident on road. A person on bike had
suffered injures due to skidding of bike. The student rushed to the aid of biker with the help of some
people, the biker was taken to a nearby hospital. The student discovered that the bike skidded due to
oil
spilled on road. The student arranged for an old cloth and wiped the oil from the road.
i) Mention the values shown by the student in the above case.
ii) The oil spill can also be washed with soap and water. Explain the cleaning action of soap.
2.RECORD COMPLETION
1SALT ANALYSIS-7
2.ORGANIC ANALYSIS-5
3VOLUMETRIC ANALYSIS -4
4. PREPARATION OF COMPOUNDS
Biology
I. Question and Answers Assignment:
1. How does haemozoin affect the human body when released in blood during
Malarial infection?
2. What would have happened if antibiotics were not discovered?
3. Write the name of the enzymes that are used for isolation of DNA from
bacterial and fungal cells respectively for Recombinant DNA technology.
4. Why is an earthworm called a detritivore?
5. “Man can be a primary as well as secondary consumer”. Justify this statement.
6. What could be the reason for the faster rate of decomposition in the tropics?
7. Construct a grazing food chain and detritus food chain using the following, with
five links each: Earthworm, Bird, Snake, Vulture, Grass, Grasshopper, Frog,
Decaying plant matter.
8. Draw the pyramid of biomass in a sea and in a forest. Explain giving reason
why the two pyramids are different.
9. State the function of a reservoir in a nutrient cycle. Explain the simplified
model of carbon cycle in nature.
10. Write a short note on: (a) Adaptations of desert plants and animals
(b) Adaptations of plants to water scarcity (c) Behavioural adaptation in
animals (d) importance of light to plants (e) Effect of temperature/water
scarcity and the adaptation of animals.
11. Explain Verhulst-pearl Logistic growth.
12. You have identified a useful gene in bacteria. Make a flowchart of the steps
that you would follow to transfer this gene to a plant.
13. Explain how Eli Lilly, an American company produced insulin by
Recombinant DNA technology.
14. Highlight any four advantages of genetically modified organisms (GMO’s).
15. Diagrammatically represent the experimental steps in cloning and expressing a
human gene (say the gene for growth hormone) into bacterium like E.coli.
16. How are the DNA fragments separated and isolated for DNA fingerprinting?
Explain.
17. What is PCR? On what principle is it based on? Describe the process of PCR.
18. An organic farmer relies on natural predation for controlling plant pests and
diseases. Justify giving reasons why this is considered to be a holistic
approach.
19. Microbes can be used to decrease the use of chemical fertilisers and pesticide.
Explain how this can be accomplished.
20. How can sewage be used to generate biogas? Explain.
21. Describe a biogas plant.
22. What are the properties of an antibiotic?
23. Explain the process of somatic hybridisation.
24. Mention the cause and effect of inbreeding depression in cattle. How can it be
overcome? Explain.
25. Describe the life cycle of Plasmodium.
26. Why is an antibody molecule represented as H2L2?
27. Name and explain any four lymphoid organs present in humans.
28. Name the drug obtained from Erythroxylum coca and write its effects on the
human body.
29. Name the agent that causes amoebiasis and the human body organ that it
infects. Write the symptoms and the mode of transmission of the disease.
30. What is “Withdrawal Syndrome”? List any two symptoms it is characterised
by.
II. Completion of the “Investigatory Project” on the given topic.
III. Completion of the Record notebook.
COMPUTER SCIENCE
1.Find the correct identifiers out of the following, which can be used for naming
variable, constants or functions in a C++ program :
While, for, Float, new, 2ndName, A%B, Amount2, _Counter
2. Observe the following program very carefully and write the names of those header file(s), which are essentially needed to compile and execute the following program successfully :
typedef char TEXT[80];
void main()
TEXT Str[] = “Peace is supreme”;
int Index=0;
while (Str[Index]!=’\0’)
if (isupper(Str[Index]))
Str[Index++]=’#’;
else
Str[Index++]=’*’;
puts(Str);
3. Observe the following C++ code very carefully and rewrite it after removing any/all syntactical errors with each correction underlined.
Note : Assume all required header files are already being included in the program. #Define float Max=70.0;
Void main()
int Speed
char Stop=’N’;
cin>>Speed;
if Speed>Max
Stop=’Y’;
cout<<Stop<<end
;
4. Write the output of the following C++ program code :
Note : Assume all required header files are already being included in the program.
void Position(int &C1,int C2=3)
C1+=
2;
C2+=
Y;
void main()
int P1=20, P2=4;
Position(P1);
cout<<P1<<”,”<<P2<<end1;
Position(P2,P1);
cout<<P1<<”,”<<P2<<end1;
5. Write the output of the following C++ program code :
Note : Assume all required header files are already being included in the program.
class Calc
char Grade;
int Bonus;
public:
Calc() Grade=’E’;Bonus=0;
void Down(int G)
Grade-
=G;
Void Up(int G)
Grade+=
G;
Bonus++;
void Show()
cout<<Grade<<”#”<<Bonus<<end1;
;
void main()
Calc c;
C.Down(2)
;
C.Show();
C.Up(7);
C.Show();
C.Down(2)
;
C.Show()
;
6. Study the following program and select the possible output(s) from the options (i)
to (iv) following it. Also, write the maximum and the minimum values that can be assigned to the variable NUM.
Note :
- Assume all required header files are already being included in the program.
- random(n) function generates an integer between 0 and n - 1.
void main()
randomize();
int NUM;
NUM=random(3)+2;
char
TEXT[]=”ABCDEFGHIJK”;
for (int I=1;I<=NUM; I++)
for(int J=NUM; J<=7;J++)
cout<<TEXT[J];
cout<<end1
;
7. What is a copy constructor ? Give a suitable example in C++ to illustrate with its definition within a class and a declaration of an object with the help of it.
8.Observe the following C++ code and answer the questions (i) and (ii) :
class Traveller
long PNR;
char TName[20];
public :
Traveller() //Function1
cout<<”Ready”<<end1;
void Book(long P,char N[]) //Function2
PNR = P; strcpy(TName, N);
void Print() //Function3
cout<<PNR << TName <<end1;
~Traveller() //Function4
cout<<”Booking cancelled!”<<end1;
;
(i) Fill in the blank statements in Line 1 and Line 2 to execute Function 2 and Function 3 respectively in the following code :
void main()
Traveller T;
_________ //Line 1
_________ //Line 2
//Stops here
(ii) Which function will be executed at //Stops here ? What is this function referred as ?
9. Write the definition of a class PIC in C++ with following description :
Private Members
- Pno //Data member for Picture Number (an integer)
- Category //Data member for Picture Category (a string)
- Location //Data member for Exhibition Location
(a string)
- FixLocation //A member function to assign
//Exhibition Location as per category
//as shown in the following table
Category Location
Classic Amina
Modern Jim Plaq
Antique Ustad Khan
Public Members
- Enter() //A function to allow user to enter values
//Pno, category and call FixLocation() function
- SeeAll() //A function to display all the data members
10. Answer the questions (i) to (iv) based on the following :
class Exterior
int OrderId;
char Address[20];
protected:
float Advance; public:
Exterior();
void Book(); void View();
;
class Paint:public Exterior
int WallArea,ColorCode; protected:
char Type; public:
Paint();
void PBook(); void PView(); ; class Bill : public Paint
float Charges;
void Calculate(); public :
Bill();
void Billing(); void Print(); ;
(i) Which type of Inheritance out of the following is illustrated in the above example ?
(ii) Write the names of all the data members, which are directly accessible from the member functions of class Paint.
(iii) Write the names of all the member functions, which are directly accessible from an object of class Bill.
(iv) What will be the order of execution of the constructors, when an object of class Bill is declared ?
INFORMATICS PRACTICES
(a) Which communication channel is suitable when very fast communication between two
offices in two different countries is required?
(b) Name the device which handles the connection between two or more networks which may
have different protocols.
(c) Differentiate between Co-axial cable and Fibre Optical Cable.
(d) Write one snooping method used by hackers/crackers?
(e) Mr. Ram is interested in transferring songs from his mobile to Mr. Shyam’s mobile.
Suggest two suitable wireless options he may use for doing the same.
(f) How does denial of service affect Internet Access?
(g) Expand the following abbreviations:
(i) LAMP (ii) WIMP (iii)W3C
(iv) FSF (v) GNU (vi) OSS
2. (a) Ms. Vidya Chauhan is confused between Proprietary Software and Open Source Software.
Mention at least two points of differences to help her understand the same.
(b) A Cloth Show-Room has announced the following festival discounts on the purchase of
items, based on the total cost of the items purchased:
Total Cost Discount (in
percentage)
Less than Rs 2000 5
Rs 2001 to Rs 5000 25
Rs 5001 to Rs 10000 35
Above Rs 10000 50
3. Write a function to compute and display the amount in a text to be paid by the customer
after availing the discount. Notice that the amount should be as a double type parameter.
(c) Name a component that looks like a button and that, when pressed, brings up a menu of
items for the user to choose from.
(d) Using method/function, develop a Java Program to calculate the Area of scalene triangle
using Hero’s formula.
4. (a) Mr. Rangaswami works at a Recreation Park as a system analyst. He has created the
following GUI. When a group arrives at the Recreation Park, the no of people in the group and
whether the group wants to enjoy the Water Park or not is entered. Entry fee is 500 per
person. The person can choose to play at Water Park by selecting the checkbox. Rides of Water Park
will cost 250 extra per person.
(i) Write a code to disable textfields(jTextField2, jTextField3 and jTextField4) when the
program is executed.
(ii) On the click of command button “Calculate” , textfield for “entry fees” should display Entry
Fees per person x Number of People. if Water Park checkbox is selected, textfield for water
charges should display Water Park charges per person x Number of people. Text Field for
“total amount” should display sum of entry fees and Water Park charges for all the people in
group.
(iii) Write Java code to clear all textboxes on the click of “Clear” Button and all text boxes
contain 0.
(iv)Write Java code to close the application on the click “Exit” Button with appropriate
message dialog box.
(5) What will be the output of the following program
(i) int x, y;
x = 5;
y = 1;
while (x > 0)
x = x - 1;
y = y * x;
jTextArea1.append(String.valueOf(y) + “\n”);
(6) int i = 0, x = 0;
for ( i = 1; i < 10; i *=2)
x++;
jTextArea1.append (String.valueOf(x));
(7) The following code has some error(s). Rewrite the correct code and underline all the
corrections made:
(i) Int k=2;sum=0;
Sum =k;
K+=3;
While(k<=20)
jTextField1(Integer.toString(sum));
(ii) Int n=0;
while(m=1;m<=4;m++)
n+=m;
n--;
;
(8) Rewrite the following program code using a if statement.
(i) int C=jComboBox1.getSelectedIndex( );
switch(C)
case 0 : FinalAmt=BillAmt ; break;
case 1 : FinalAmt=0.9 * BillAmt ; break;
case 2 : FinalAmt=BillAmt * 0.8 ; break;
default : FinalAmt=BillAmt ;
(9) Convert the following segment into an equivalent do .......... while loop.
int x, c;
for( x = 10; c = 20; c > = 20; c = c - 2)
x++;
10. Write a statement to make jTextArea1 as un-editable
11. What will be displayed in jTextArea1 after executing the following statement?
jTextArea1.setText(“INDIA\nINCREDIBLE\tINDIA”);
12. How is an entry controlled loop different from exit controlled loop?
13. What is the difference between ‘=’ and ‘==’ operator?
14. What is the output of the following program?
float num;
num= 4 + (float) 7 / (int) 2.0;
jTextField1.setText (String.valueOf(num));
15. Write a java statement to do the following
i. A = PRN/100
ii. l = ab+cd
16. What will be the value of the following if j =5. Justify
a. (6 X ++j) % 5
b. (6 X j++) % 5
17. What is the purpose of default clause and break in switch statement?
18. What will be the content of jTextArea1 after executing the following code.
for (int C =1; C<=4; C++)
jTextArea1.setText (jTextArea1.getText()+ “ “+ Integer.toString (C X C));
PHYSICAL EDUCATION
1. Yoga.
Write procedure, benefits and contraindications of
Vajrasana
Bujangasana
Sukhasana
Tadasana
Shalabhasana.
2. Specialization
Draw a neat diagram of the field/court of any one game of choice from the given list.
(Athletics / Basketball / Football / Handball /Hockey / kho-kho or volleyball)
Write its history,
Latest rules and regulations,
Equipments,
Related sports terminologies and
Skills.
MATHEMATICS
1. Find the value of yx
yx
y
x
11 tantan
2. Find the value of k so that the function f defined by f(x) =
ifxx
ifxkx
,cos
,1 is
continuous at x = π.
3. Evaluate .56
423
2
dxxx
xx
4.
Write the principal value of
2
1sin2
2
1cos 11
.
5.
Examine the continuity of the following functions:
f(x) =
||2
2
1
x
x at x=0
6.
Differentiate
x
x 11tan
21
with respect to x.
7.
If ,yxy ex show that .log
log2xe
x
dx
dy
8.
The surface area of a spherical bubble is increasing at the rate of 2cm2
/s. Find the rate at
which the volume of the bubble is increasing at the instant if its radius is 6cm.
9. Solve for x : cos(tan-1
x) = sin(cot-1
3/4)
10. Prove that cot-1
7 + cot-1
8 +cot-1
18 =cot-1
3.
11. Evaluate dxxx
xx
)2)(1(
32
12. If xpy
q = (x+y)
p+q, prove that
x
y
dx
dy .
13. Find the volume of the largest cylinder that can be inscribed in a sphere of radius
r.
14. Find the intervals in which following function f(x) is increasing or decreasing :
f(x) =2x3—9x
2+12x +15.
15.
Find the approximate value of f(3.02), upto 2 places of decimal, where f(x) = 353 2 xx .
16. Prove that
431
17tan
5
3sin2 11
17. Solve the equation for x: xxx 111 cos)1(sinsin
18. Find
dxxx
x 224
2
19. Evaluate cos
2cos
3
1
20. Differentiate cosx with respect to ex.
21. Find the points on the curve 1254
22
yx
at which the tangents are parallel to x-
axis.
22. Prove that the function f(x) = 10733 23 xxx is increasing on R.
23. Differentiate
x
x 21 1
tan with respect to 21 12cos xx when x 0 .
24. If y=xx prove that .0
12
2
2
x
y
dx
dy
ydx
yd
25. Find the intervals in which the function f(x) = 51243 234 xxx is (a) strictly
increasing (b) strictly decreasing.
26. Show that the function 2x-|x| is continuous but not differentiable at x=0.
27. Differentiate
x
x 11tan
21 with respect to x1tan when x .0
28. Evaluate dxxx
x
65
12
2
29. Evaluate dxxx
x
2
2
2
1
30. Find the values of x for which y= 22xx is an increasing function.
31.
32. If x = asin2t (1+ cos2t) and y =bcos2t (1-cos2t) , show that at t =4
,
a
b
dx
dy .
33. If x = acos sinb and y = cossin ba show that 02
22 y
dx
dyx
dx
ydy .
34. Evaluate
dxxx
x 112
35. Using Lagrange’s Mean Value Theorem,find a point on the parabola y =(x—3)2, where
tangent is parallel to the chord joining (3,0) and (5,4).
36. Show that a cylinder of a given volume which is open at the top has minimum total
surface area ,when its height is equal to the radius of its base.
37. Prove that the height of the cylinder of maximum volume that can be inscribed in a
sphere of radius R is 2R/ 3 .Also find the maximum volume
38. Prove that the semi-vertical angle of the right circular cone of given volume and least
curved surface area is 2cot 1.
39. Prove that 65
56sin
5
3sin
13
12cos 111
40. Find both maximum and minimum value of 3x4 –8x
3+ 12x
2—48x + 25 on the interval
[0,3]