HOLIDAY HOMEWORK FOR THE SUMMER VACATION (2018-2019) CLASS-XII Commerce/ Science

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THE JAIN INTERNATIONAL SCHOOL, KANPUR
HOLIDAY HOMEWORK FOR THE SUMMER VACATION (2018-2019)
CLASS-XII Commerce/ Science
 ENGLISH: 1) Read the novel ‘The Invisible Man’ thoroughly.
2) Revise all he writing formats.
COMMERCE
BUSINESS STUDIES: Project work given in the class.
ECONOMICS: Project work given in the class.
ACCOUNTS: Accountancy Board project (One comprehensive and two specific)
SCIENCE
PHYSICS: Worksheet
CHEMISTRY: Project work given in the class.
BIOLOGY: Complete biology lab manual as instructed in class.
MATH: Worksheet (Matrix, Determinants and ITF)
OPTIONAL SUBJECTS
PHYSICAL EDUCATION: Project work on any game of your choice
COMPUTER SCIENCE: Worksheet for networking, SQL file pages to be made.
INFORMATION PRACTICES: Project work given in the class.
MATH: Worksheet (Matrix, Determinants and ITF)
FASHION STUDIES: Project work given in the class.
_______________________OPDDALOH YPPAH__________________________ 
The Jain International School, Kanpur
 Class:12 Subject: Physics
Holiday homework
1. Derive an expression for the capacitor of a parallel plate capacitor whose plates are separated by a
dielectric medium of thickness t (t<d).
2. What is the area of the plates of a 2 farad parallel plate capacitor, given that the separation between
the plates is 0.5 cm?
3. State and prove gauss theorem in electrostatic and deduce coulomb’s law from Gauss theorem.
4. Using Gauss theorem derive an expression for electric field intensity at a point charge due to LINE
CHARGE or long length charged wire
5. Two long straight parallel wires carry charges ƛ1 and ƛ2 per unit length. The distance between them is
d/2. Calculate the magnitude of force on the other.
6. Define electric flux. Write its SI unit. A charge q is in closed by a spherical surface of radius R. If the
radius is reduced to half, how would the electric flux through the surface change?
7. Two parallel plate air capacitor have their plate 100 and 500 cm2 respectively if they have the same
charge and potential and the distance between the plates of first capacitor is 0.5 mm, what is the
distance b/w the plates of second capacitor?
8. Derive an expression for the capacitor of a parallel plate capacitor whose plates are separated by a
dielectric medium.
9. Derive an expression for Electric field intensity due to an electrical dipole in axial and broad side
position
10. Draw graphs between electric field vs. r in case of conductor and insulator respectively
11. Define charge and define properties of charge particle, if 2 charged particle separated with a distance
20 cm having value 6µc and 8µc respectively now a Third charge placed between them having value
3µc find the position of equilibrium
12. What is the direction and magnitude of electric field on the center of the square having sides 4 cm
each if four charges having values 2µc, 2µc, -4µc and -4µc are situated at the corners?
13. Consider three charges q1 q2 q3 each equal to q at the vertices of an equilateral triangle of side l.
What is the force on a charge Q placed at the centroid of the triangle?
14. An electron falls through a distance of 1.5 cm in a uniform electric field of value 2×104N/C when the
direction of electric field is reversed; proton falls through the same distance, Compare the time of fall
in each case with free fall. 
The Jain International School
Class- XII Subject- Mathematics (Holiday Assignment)
1) Find the value of cos(tan-1
.
2) Find the principal value of
(
)
 .
3) Find the principal value of
(
)
 .
4) Solve for x:
5) Prove that √
 √
.
6) Write the following function in simplest form:
 √
 √
 , .
7) Prove that:
8) If
9) Solve for x :
(
)
(
)
10) Solve the equation:
(√
 )
(√
 )
.
11) Prove that:
 .
12) Find the matrix A so that A *
+ *
+.
13) Find the inverse of the following matrix, if exists, by using elementary operations:
 [
]
14) For the product of the matrices A = [
] [
] Hence, solve the system of
 equation:
 .
15) Is the function f defined by f(x) = continuous at x = 0?
16) If f(x) = {
 continuous at x=0, find the value of k.
 17) Find the left hand and right hand derivatives of f(x) = ,
 = 2. Hence, show that f is not
 derivable at x = 2.
18) If the function f defined by
 f(x) =
{
√ √
 is continuous at x = 0, find the value of a.
 19) If the function by f(x) =
{
 is continuous in , then find the value of ‘a’ and
‘b’.
 20) Using the properties of determinants, prove that
 |
|
 
Class- XII Subject- Computer Science (Holiday Assignment)
Network and Communication Technologies
1. King Soft Organisation has set up its new center at Mumbai for its office and web based
activities. It has 4 blocks of buildings as shown in the diagram below.
a. Suggest a cable layout of
connections between the blocks.
b. Suggest the most suitable
place (i.e. block) to house the server of this organization with a suitable reason.
c. Suggest the placement of the following devices with justification.
a. Repeater b.Hub/Switch
d. The organization is planning to link its front office situated in the city in a
e. Hilly region where cable connection is not feasible, suggest an economic way to connect it with
reasonably high speed.
2. Knowledge supplement Organisation has set up its new center at Mangalore for its office and
web based activities. It has 4 Blocks of buildings as shown in the diagram below:
Center to center distance between
various blocks
Block A to Block B 50m
Block B to Block C 150m
Block C to Block D 25m
Block A to Block D 170m
Block B to Block D 125m
Block A to Block C 90m
Number of computers
Block A 25
Block B 50
Block C 125
Block D 10
i. Suggest a most suitable cable layout of connections between the blocks.
ii. Suggest the most suitable places (i.e Block) to house the server of Organisation with a
suitable reason.
iii. Suggest the placement of the following devices with justification:
The organization is planning to link its head office situated in City in a hilly region where cable
connection is not feasible, suggest an economic way to connect it with reasonably high speed?
Q3. Give full forms of the following Network and Communication Technology:
VoIP, GSM, MBPS, SMS, SIM, CDMA, WLL, GPRS, TDMA, DHTML, NNTP, MAC
Q4. Write about following:
Cookies, Firewall, Cloud Computing, Cyber Law, Cyber Crime, Virus Worm, Open Source
Softwares




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