class test phy ch math stat 01052016

8/17/2019 Class Test Phy Ch Math Stat 01052016

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Group-A1 mark each

1.i. How much work is done in moving q C of chargebetween two points seperated by a distance r on anequipotential surface?

ii. Which of the following is the unit of electric flux?(a) Vm–1 (b) Vm (c) Vm2 (d) Vm–2

iii. If a is a 3 x 3 non-singular matrix and k is a realnumber, which one of the following is value of det(kA)?

(a) k det(A) (b) |k| det(A) (c) k 2 det(A) (d) k 3 det(A)

iv. Which one of the following is the derivative of x withrespect to log x?

(a) 1/x2 (b) x (c) log x (d) ex

v. sin log x

dx x

(a) cos log c (b) sin log c

(c) sin log x c (d) cos log c

vi. On dissolving sugar in water at room temperaturesolution feels cool to touch.Under which of the following cases dissolution ofsugar will be most rapid?

(a) Sugar crystals in cold water.

(b) Sugar crystals in hot water.(c) Powdered sugar in cold water.(d) Powdered sugar in hot water.

vii. Considering the formation, breaking and strength ofhydrogen bond, predict which of the followingmixtures will show a positive deviation from Raoult’s

law?

(a) Methanol and acetone.(b) Chloroform and acetone.(c) Nitric acid and water.(d) Phenol and aniline.

SB’s CLASS TEST

Electrostatics, current electricity, solution, coordination com-

pound, solid state chemistry, indefinite integration, matrix

determinant, relation, first order derivatives

Time: 3 hrs FM: 7


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viii. Give an example of a material used for makingsemipermeable membrane for carrying out reverse

osmosis.

ix. Which of the following is not a characteristic of acrystalline solid?

(a) Definite and characteristic heat of fusion.(b) Isotropic nature.(c) A regular periodically repeated pattern of

arrangement of constituent particles in the entirecrystal.(d) A true solid

x. Which of the following arrangements showsschematic alignment of magnetic moments ofantiferromagnetic substances?

(a)

(b)

(c)

(d)

xi. Which of the following oxides shows electricalproperties like metals?

(a) SiO2 (b) MgO (c) SO2(s) (d) CrO2

xii. Cations are present in the interstitial sites in __________.

(a) Frenkel defect

(b) Schottky defect

(c) Vacancy defect

(d) Metal deficiency defect

xiii. Schottky defect is observed in crystals when __________.

(a) some cations move from their lattice site tointerstitial sites.

(b) equal number of cations and anions are missingfrom the lattice.


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(c) some lattice sites are occupied by electrons.

(d) some impurity is present in the lattice.

xiv. The total number of tetrahedral voids in the facecentred unit cell is __________.

(a) 6

(b) 8

(c) 10

(d) 12

xv. A glass slab is introduced between the plates of aparallel plate capacitor. Does the capacitance of the

capacitor increase, decrease or remain unchanged?

xvi. Write true or False:

If E XY E X E Y , then X and Y are independent.

xvii. Write true or False:

1

2 2 E X E X

xviii. Write the formula for the coordination compoundtetraammineaquachloridocobalt (III) chloride.

Group-B2 marks each

2. (i) If1 3

2 2

A

and x

X

x

, then show that

4 AX X .

(ii) How does sprinkling of salt help in clearing thesnow covered roads in hilly areas? Explain thephenomenon involved in the process.

(iii) Why does table salt, NaCl, sometimes appearyellow in colour?

(iv) When two capacitances are connected in series

and in parallel, the equivalent capacitances are 5 F

and 1.2 F respectively. Find their capacitances.

(v) The inensity of an electric field is

5 3 2E i j k

units. Calculate the electric flux passing through 200unit area in the YZ plane.


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Group-C4 marks each

3. Solve by Crammer’s rule:

3 3

3 7

4 2

x y

y z

z x

4. A relation R is defined on as follows:

, ,a b R c d ad bc .

Is the relation (a) reflexive, (b) symmetric, (c) anti-symmetric, (d) transitive? [1 + 1 + 1 + 1]

5. Define electric intensity and potential at an electricfield. How are they related? The electric potential incertain situation is found to depend on x only and isgiven by V(x) = ax – bx3; a, b are constants. Find theposition on the X-axis where the electric intensity iszero. [1 + 1 + 2]

OR

What do you mean by electric dipole? Find anexpression for the force and torque acting on anelectric dipole when placed in a uniform electric

field. [1 + 3]

6. State the Raoult’s law of relative lowering of vapourpressure of solvent.12 g of solid solute is dissolved in 90 g of water. At100oC vapour pressure of the solution is 750 mm Hg.Calculate the relative molecular mass of the solute.(Assume the solute in water does not undergo

association or dissociation.) [2 + 2]

OR

For water, Kb = 0.52oC/m, Kf = 1.86

oC/m.20 g of glucose is dissilved in 100 g of water. (i) If itis cooled to –10oC, find the mass of ice freezed out.(ii) If it is heated to 105oC, find the mass of resulting

solution. [2 + 2]

7. Deduce the relation between current density and driftvelocity. Also deduce Ohm’s law. [2 + 2]

Grouop-D

6 Marks

8. (i) State Gauss law in electrostatics and apply it toshow that the electric intensity inside a hollowspherical charged conductor is zero.(ii) The surface density of a positively charged longvertical plate is Cm–2. A metallic ball of mass Mand charge +q is attached to the plate by means of athread. Find the angle made by the thread with the

plate in equilibrium.(iii) Two point charges +q and –q are separated by adistance x. Identify the zero potential surface for thesystem. [(1 + 2) + 2 + 1]

OR


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(i) A parallel plate capacitor is charged by a batteryand disconnected. A dielectric slab is then introducedbetween the plates leaving no gap. Determine thechanges that would occur in the values of the charge,

capacitance, potential difference and the energystored in the capacitor.(ii) The equivalent capacitance of two capacitorsconnected in series and in parallel are Cs and Cprespectively. Determine the capacitance of eachcapacitor. [4 + 2]

9. Two random variables X and Y are jointly distributed

according to

12 1 , for 1,2;

4

1, for 0,1

2

and

0, 2 .

P Y i i i

P X i i

P X Y p

Compute the correlation coefficient between X and Y.

10. Evaluate (Any two):

(i)1sin

adx

a x

(ii) cos log cosec cot x x x dx

(iii)1 1

dx

x x

(iv)11 1

3 3sin cos x dx

11. (i) Determine the relationship between atomic radiusand edge of a unit cell of a body centred cubiccrystal.

(ii) 3

3 6Cr NH

is paramagnetic while

2

4 Ni CN

is diamagnetic. Explain why?

OR

Draw isomers of the complex ion 22Co en Cl

.

class test phy ch math stat 01052016

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