Investigatory Project Paper

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					                      Kendriya Vidyalaya Mankhurd Mumbai

        CLASS XII (Science & Commerce) HOLIDAY HOMEWORK (2010)

                           Computer Science and IP


Prepare a project on various transmission medias used in Networks

Prepare a project on Network devices

Prepare a project on Network Topologies

Prepare a project on Communication Protocols

Prepare a project on Computer Viruses


                                   Micro economics

Answer the following high order thinking Questions (one mark)

1) Why is ppc downward sloping from left to right?

2) Why does the problem of choice arise?

3) Why does PPC concave to the origin?

4) What does slop of PPC show?

5) What are the two factors that contribute scarcity?

6) Senior citizens should be given free medical facilities- is it positive or
normative statement?

 II. Three marks questions.

1) Calculate MRT from the following hypothetical data
          Production X          Y
          A             0       15
          B             1       14
          C             2       12
          D             3       9
          E             4       5
          F             5       0
2) Why is Production at a pout towards left hand side from PPC not desirable?

3) Why growth of resources and technology advances shift shift PPC to the right?

4) Why is PPC called opportunity cost curve?

5) Explain effect of economic froth on PPC?

6) Distinguish between effect of a centrally planned economy and a market

7) Define budget line and budget set.

8) Allocate the Rs.1000 If the price of text books Eco. Acc. @ Rs.150 each and
note books @ Rs. Each

9) Define consumer equilibrium .Explain consumer equilibrium in case of single
commodity and double commodities.

9) Define law of demand?

10) What is demand function?

11) Explain law of demand with table and diagrams.

12) What is the difference between micro and macro economics?

13) What happens to the budget jet if both the prices as well as income doubled?

14) What do you mean by opportunity cost?

15) Explain the problem of “what to produce?” in an economy?

Chapter Non Profit organization problems T.S.Grewal

Theory questions page 1.54 – 1.55(27 questions)

Practical problems page 1.55 – 1.70

 50 questions covering receipts and payments account and Income and
Expenditure Account.


Relations and Fractions

   1) Let N Denote the set of all rational numbers and R by the ration on N x N
      defined by (a,b) R (c,d)  ad (b+c) = bc (a+b). Check whether R is an
      equivalence relation on N x N.
   2) Check whether the relation R on the set Z of integirs, given by
      R={(a,b) : 2 divides a-b } is an equivalence relation.
   3) State that the relation R defined by
      R={(a,b) : a-b is deviseble by 3,a,B € Q is an equivalence relation.
   4) Prove that the fraction F : Q  Q given by f(x) = 2x – 3 for all X € Q is a
   5) Let f : R  R be defined by f(x) = 3x – 7 show that f is invertible and hence
      find f¯¹.
                                Inverse Triangular Fractions

      1) Prove tan¯¹ 2/11 + tan¯¹ 7/24=tan¯¹ ½
      2) Find the value of (1) cos¯¹ (cos 7∏6) (2) tan¯¹ ½.

      Sin (                      )

      3) Cos¯¹ 4/5 + Cos¯¹ 12/13 = Cos¯¹ 33/65.
      4) Prove that         9/4 sin¯¹ 1/3 = 9/4 sin¯¹ 2√2/3.

      5) Solve the equations F or X
      (1) tan¯¹(x+1) + tan¯¹ (x-1) = tan¯¹ 8/31
      (2)     tan¯¹ (   ) – ½ tan¯¹ x=0 where x>0.
         a) Adaptations
         b) Confermers
         Q.2)What are the abiotic factors,which are responsible for
         enviormental dangers ?
         Q.3)Explain the population density & population growth .
         Q.4)Explain the exsistence for life & survival .
         Q.5)Explain the different types of age pyramids


1) Investigatory project for Board practical exam.
2) Exercise numericals of solid state , solutions & electro chemistry of NCERT
3) Solve CBSE questions of last five years of solid state, solutions & electro
   chemistry .
4) Solve HOTS of solid state, solutions & electro chemistry from ziet mysore
   website .
5) Other assignments
   a) In a fcc crystal lattice edge length is 400 pm. Find the diameter of the
      greatest sphere which can be fitted into the interstitial void without
      distortion of the lattice.
   b) The density of CsBr is 4.4 g /cc .The unit cell edge length is 400 pm.
      Calculate inter ionic distance in CsBr.
   c) The storage battery contains a solution of sulphuric acid 38%by mass .At
      this concentration vant Hoff factor is 2.50.At what temperature will the
      battery condense to freeze? Kf for water = 1.86 K kg/mole.
   d) Calculate the no: of moles of methanol in 5 litres in its 2 molal solution,if
      the density of solution is 0.981 kg/litre.
      e) Why sodium metal is not obtained at cathode when aqueous Nacl is
         ecletrolysed with platinum electrodes but obtained when molten
         sodium chloride is electrolysed.
      f) Calculate the amount of ice that will separate out on cooling a solution
         containing 50gm of ethylene glycol in 200 gm of water to -9.3oc.




1.What would be the work done if a point charge +q is taken from a point A to the
point B on the circumference of the circle, which is having a +q point charge at
the centre?(1marks)

2. Consider a parallel plate capacitor of capacity 10 mF with air filled in the gap
between the plates. Now one half of the space between the plates is filled with a
dielectric of dielectric constant K = 4 as shown in figure. (1 marks)

3. The graph shows the variation of charge q versus potential difference V for C1
and C2.The two capacitors have some plate separation, but the plate area of C2 is
double than that of C1.Which of the lines in the graph correspond to C1 and C2
and why?(1 mark)
4.Name the dielectric whose molecules have non zero and zero dipole
moment.(1 marks).

5.What orientation of electric dipole in a uniform electric field corresponds to
stable equilibrium?(1 marks)

6. Two point charges +9e and e are kept at distance x apart.At what distance a
charge q should be placed from charge +e, so that q is in equilibrium.(2 marks)

7.Four capacitors are connected as shown in the figure calculate the equivalent
capacitance between the points X and Y.(2 marks)

8.Calculate the work done to dissociate the system of three charges placed on the
vertices of a triangle as shown q = 1.6x 10-10C (2 marks)
9.What is the relation between the charges q1 , q2, q3 if the electric flux through
surface S2 is 8 times of S1

10.Two point charges A and B of value +5 x 10-9 C and + 3 x 10-9C are 6 cm apart in
air .Calculate the work done when charge B is moved by 1 cm towards charge A.(
2 marks).

11. A 300PF capacitor is charged by a 200v supply. it is then disconnected from
the supply and is connected to another uncharged 300PF capacitor. How much
energy is lost in the process?(3 marks)

12. Derive an expression for energy stored in a parallel plate capacitor, and hence
derive an expression for energy density of a capacitor. (3 marks).

13. Derive an expression for toque and potential energy of a dipole (3 marks).

14.Derive the expression for the electric potential due to an electric dipole at any
point on its axis (3 marks).

The electric field components in the figure shown Ex = x ½, Ey = E Z = 0 in which
  = 800 N/Cm ½ .Calculate the electric flux through the cube and the charge
within the cube.The side of cube a = 0.1 cm.

16.State and prove Gauss theorem and give its applications(5 marks)

17.Derive an expression for the electric field strength at a distant point on the axis
and along the equatorial line of the electric dipole.(5 marks).


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