Rt 2 Ptp Batch

Class: XI(PTP) Date: 03/06/2012 Time: 3.30 Hours. Max. Marks: 249

VERY IMPORTANT

A. The question paper consists of 3 section (Section-1 contains Physics, Section-2 contains Chemistry and Section-3

contains Mathematics). Please fill the OMR answer Sheet accordingly and carefully.

B. Each Section contains (12 questions in Part-A, 1 question in Part-B and 5 questions in Part-C) and total number

of pages are 29.

C. Please ensure that the Question Paper you have received contains ALL THE QUESTIONS in each Section

and PAGES. If you found some mistake like missing questions or pages then contact immediately to the

Invigilator.

INSTRUCTIONS

PART-A

1. Q.1 to Q.8 are single correct type questions. Each question has four choices (A), (B), (C) and (D) out of which

ONLY ONE is correct.

For Q.1 to Q.4, you will be awarded 3 marks and for Q.5 to Q.8, you will be awarded 4 marks if you have darkened

only the bubble corresponding to the correct answer and zero mark if no bubble are darkened. In all other cases,

minus one (�1) mark will be awarded.

2. Q.9 to Q.12 are multiple correct type questions.Each question has four choices (A), (B), (C) and (D) out of which

ONE OR MORE may be correct.

For Q.9 & Q.10, you will be awarded 4 marks and for Q.11 & Q.12, you will be awarded 5 marks if you have

darkened only the bubble corresponding to the correct answer and zero mark if no bubble are darkened. In all other

cases, minus one (�1) mark will be awarded.

PART-B

3. Q.1 is Matrix Match type question. Each question has Four statements (A, B, C, D) given in Column-I and Five

statements (P, Q, R, S, T) given in Column-II. Any given statement in Column-I can have correct matching with one or more

statement(s) given in Column-II. For example, if for a given question, statement B matches with the statement given in Q and

R, then for the particular question, against statement B darken the bubbles corresponding to Q and R in the OMR. For each

row, you will be awarded 3 marks in which you have darkened the bubble(s) corresponding to the correct answer.

Thus Q.1 carries a maximum of 12 marks.

PART-C

4. Q.1 to Q.5 are Integer Type questions. The answer to each question is upto 4 digit ranging from 0 to 9999.

The correct digit below the question number in the OMR is to be bubbled.

For each question, you will be awarded 5 marks if you darken the bubble corresponding to the correct answer and

zero mark if no bubble is darkened.

For example, if for a given question, your answer is 25, then for the particular question, against question number you must

fill as 0025 in the OMR. No negative marks will be awarded in this section.

5. Indicate the correct answer for each question by filling appropriate bubble in your answer sheet.

6. Use of Calculator, Log Table, Slide Rule and Mobile is not allowed.

7. The answers of the questions must be marked by shading the circle against the question by dark Black Ball point Pen only.

REVIEW TEST-2

USEFUL DATAAtomic weights: Al = 27, Mg = 24, Cu = 63.5, Mn = 55, Cl = 35.5, O = 16, H = 1, P = 31, Ag = 108, N = 14, Li = 7,I = 127, Cr = 52, K=39, S = 32, Na = 23, C = 12, Br = 80, Fe = 56, Ca = 40, Zn = 65.5, Ti = 48, Ba = 137, U = 238,Co= 59, B =11, F = 19, He = 4, Ne = 20, Ar = 40 , Mo = 96[Take : ln 2 = 0.69, ln 3 = 1.09, e = 1.6 × 10�19, me= 9.1 × 10�31 kg ]Take 0 = 8.85 × 10�12 , g = 10 m/s2 unless otherwise stated

PHYSICS

SPACE FOR ROUGH WORK

XI (PTP) RT-2 Page # 2

PART-A[SINGLE CORRECT CHOICE TYPE]

Q.1 to Q.4 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct. [3 Marks]

Q.1 Choose the correct statement

(A)

ACCBAB (B)

ACBCAB

A C

B

(C)

ABBCAC (D)

ABCABC

Q.2 A 100 Newton weight is suspended in a corner of a room by two cordsA and B as shown in the figure below. The tension in the horizontal cordA (TA) is (A) 50 N (B) 100 N(C) 200 N (D) 173.2 N

Q.3 If we compare 3 units : milimetre, kilogram and microsecond. Which unit is largest ?(A) milimetre (B) microsecond(C) kilogram (D) the units are not comparable

Q.4 The value of )BA()BA(

is:

(A) 0 (B) A2 � B2 (C) BA

(D) )BA(2

PHYSICS




Q.5 If A

makes an angle , and from x, y and z axis respectively then sin2 + sin2 + sin2 =

(A) 0 (B) 1 (C) 2 (D) None of these

Q.6 Can the resultant of 2 vectors be zero:(A) yes, when the 2 vectors are same in magnitude and direction(B) no(C) yes, when the 2 vectors are same in magnitude but opposite in sense (direction).

(D) yes, when the 2 vectors are same in magnitude making an angle of 3

2 with each other

Q.7 A string is pulled with a force F = 100 N as shown in the figure. Write Fas a vector. y

x

A

F

B

(1,1)

(4,5)(A) Nj�4i�3 (B) Nj�80i�60

(C) Nj�60i�80 (D) Nj�50i�40

Q.8 Find the value of a for which the vectors k�9j�3i�3

and k�3j�ai� are parallel.

(A) a = 1 (B) a = 0 (C) a = 3 (D)a = �10

PHYSICS



[MULTIPLE CORRECT CHOICE TYPE]

Q.9 to Q.10 has four choices (A), (B), (C), (D) out of which ONE OR MORE may be correct. [4 Marks]

Q.9 A student taking a quiz finds on a reference sheet the two equations :

f = 1/T and v = µ/T

(µ = mass/length, f = frequency and v = velocity)He has forgotten what T represents in each equation. Use dimensional analysis to determine the physicalquantity T in each equation.(A) In first equation T represents tension. (B) In first equation T represents time(C) In second equation T represents torque. (D) In second equation T represents tension.

Q.10 A confused oggy (cartoon character) is standing at the origin of coordinates. To catch the cockroaches,he has a choice of 3 displacements

[1] j�3i�2S1

[2] j�3i�5S2

[3] j�10i�7S3

which of the following combinations will land him into 2nd quadrant where cockroaches have prepared apond of dirty water for him ?

(A) 321 SSS

(B) 31 SS

(C) 32 SS

(D) 32 SS

PHYSICS




Q.11 Which of the following statement(s) is correct about a scalar quantity(i) it must remain conserved in a process.(ii) can never have negative value(iii) does vary from changing orientation of axis(iv) has same value for observers with different orientation of axis(A) (i) (B) (ii) (C) (iii) (D) (iv)

Q.12 A bull's eye student curiously picks up a book I.E. Irodov and tries to understand the answers given atthe end of the book using his new found knowledge of physics. He marks four answers. In which of them

A has the same units as that of angular momentum ? (Useful formula prL

, T

2 , c is velocity of

light, Fr

, l is length, momentumangularL

, momentumlinearp

& vectorpositionr

,

torque

, = frequency)

(A) 2

1mv2 = AA (B) p =

v

A2 2

2

c

v1

(C) sin (kl) = kmE2

A2

(D) = Al

PHYSICS



PART-B[MATRIX TYPE]

Q.1 has four statements (A, B, C, D) given in Column-I and five statements (P, Q, R, S, T) given in Column-II.Any given statement in Column-I can have correct matching with one or more statement(s) given in Column-II.

Q.1 A partricle is moving in x�y plane in such a way so that position vector of particle w.r.t. origin at time t is

given by j�ti�t3r 2 (here r is in meter & t is in second)

Column-I Column-II(A) speed (in m/s) of particle at t = 2 sec. (P) 2(B) magnitude of acceleration of particle (in m/s2) (Q) 4 at t = 2 sec.(C) magnitude of average velocity (in m/s) of particle (R) 5 in time interval t = 0 to t = 2 sec.

(D) v·adt

d

at t = 2 sec. here a

is acceleration, (S) 13

v

is velocity (T) 6

PHYSICS



PART-C[INTEGER TYPE]

Q.1 to Q.5 are "Integer Type" questions. (The answer to each of the questions are upto 4 digits)

Q.1 The equation of gas is given byPV = AT + BT2

P � Pressure, V � Volume, T - Temp

Find the dimension of length L in constant B is

PHYSICS



Q.2 A body begins to move with an initial velocity of 2 ms�1 and continues to move at a constant accelerationa. Ten seconds later a second body begins to move from the same point with an initial velocity of12 ms�1 in the same direction with the same acceleration. What is the maximum acceleration a (in m/s2)atwhich it would be possible for the second body to overtake the first ?

PHYSICS



Q.3 The dot product of 2 vectors is 8 units and the magnitude of their resultant is 41 units. If we rotate thevectors without changing the magnitude such that they are now perpendicular to each other, what is theirnew resultant.

PHYSICS



Q.4 A particle moves along a horizontal line and its velocity () changes with time (t) as shown in the figure.

Calculate the total distance travelled (in meter) by particle from t = 0 to t = 12 sec.

PHYSICS



Q.5 If |b||a|

, a is directed at 45° from the +x-axis in anticlockwise direction & b

is directed at 195°

from + x-axis in anti clockwise direction (ACW) and bad

then d

is directed at an angle ________degree to +x- axis in ACW direction.


CHEMISTRY




Q.1 In a collection of H-atoms, all electrons jump from n = 5 to ground state (directly or indirectly) withoutemitting any line in Paschen series. The number of possible different radiations are(A) 7 (B) 8 (C) 6 (D) 5

Q.2 Which of the following electronic configuration is related to bridge as well as typical element :(A) [He] 2s2 2p1 (B) [Ar] 3d2 4s2 (C) [Ne] 3s2 (D) [Ar] 3d10 4s2

Q.3 Ratio of de-Broglie wavelength of electrons in 2 energy levels in a H-like atom is 2 : 1, the ratio offrequency of revolution is

(A) 1

4(B)

1

2(C)

8

1(D)

4

1

Q.4 What is the spin multiplicity of sulphur atom(A) 2 (B) 3 (C) 4 (D) 5


Q.5 A light beam of wavelength 310 nm strikes a metal of work function 2 eV. If ejected electron comesout after making 2 collisions & in each collision it lost 50% of its K.E. with which it is moving, thende-Broglie wavelength when it comes out metal plate is(A) 17.32 Å (B) 50 Å (C) 14.14 Å (D) infinite


CHEMISTRY


Q.6 What is the group number (IUPAC) and period number respectively of element �A�, if its electronic

configuration is [Xe] 4f7 5d0 6s2

(A) 7,6 (B) 2, 6 (C) 3, 7 (D) 3, 6

Q.7 The given diagram shows points P1, P2, P3 & P4 in 1s orbital

P4

P3P2

P1

The correct order of increasing radial probability at these points are(A) P1 = P2 = P4 > P3 (B) P1 = P3 < P2 = P4 (C) P1 = P3 > P2 = P4 (D) P1 = P2 = P4 < P3

Q.8 Among the following electronic configuration of atoms which one has larger size.(A) [Ar] 3d10 , 4s2 (B) [Ar] 3d10 4s1 (C) [Ar] 3d54s2 (D) [Ar] 3d10 4s2 4p3



Q.9 If uncertainity in velocity is 6.62 × 10�12 m/sec., for a particle of mass of

05.0 gm. Its uncertainity in the

position (in m) may be (Given h = 6.62 × 10�34Js)(A) 0.5 × 10�18 (B) 10�18 (C) 0.8 × 10�18 (D) 0.5 × 10�17


CHEMISTRY


Q.10 Which of the following statements (s) is/are correct(A) The value of Z

eff. is same on 3s & 3p electrons of phosphorus according to Slater�s rules.

(B) If maximum value of principal quantum number is 4 of an atom, than maximum 36 electrons arethere in an atom.

(C) Only one electron has m = �2 value in Fe3+ ion

(D) Cu2+ ion has more unpaired electron than Cu atom.


Q.11 Out of the following options in which case is the velocity of electron greater than 1.5 × 106 m/s(Given : hc = 1240 eV � nm}

(A) An electron moving in the 1st Bohr radius of H-atom.(B) The electron which is accelerated from rest position by a potential of 3.4 V.(C) The electron having de-Broglie wavelength of 2 × 0.529 Å

(D) The electron with maximum K.E emitted from a metal whose threshold wavelength is 200 nm and is subjected to light of wavelength 124 nm.

Q.12 Select correct code about the following atoms:a = [Ne] 3s2, 3p3

b = [Xe] 4f14, 5d10 , 6s2

c = [He] 2s2, 2p5

d = [Ar] 4s2

(i) Element �b� is a d-block element and exist in liquid state.

(ii) Element �a� is a pnicogen and contains 3 electrons in valance shell of its atom.

(iii) Element �c� is a halogen & formula of its oxide is R2O

7 (Mendeleev�s)

(iv) Element �d� is a Rare earth metal and its group is 2 (IIA) in periodic table.

(A) (i) & (ii) (B) (i) , (ii) & (iii) (C) (iii) & (iv) (D) (i) & (iv)


CHEMISTRY


PART-B[MATRIX TYPE]


Q.1 Column-I Column-II

(A) Telluric Helix (P) Chancourtois

(B) Eka-silicon (Q) Contains ns2 electrons

(C) Inner transition elements (R) Germanium

(D) Chalcogens (S) Selenium

(T) Uranium


CHEMISTRY



Q.1 to Q.5 are "Integer Type" questions. (The answer to each of the questions are upto 4 digits)

Q.1 If photon having wavelength 6.2 nm was allowed to strike a metal plate having work function 50 eV thencalculate uncertainity in wavelength (in m) of emitted electron with K·Emax, if uncertainity in the momen-tum is 1.8 × 10�27 kg m/s (Given h = 6 × 10�34 J sec). Fill your answer by mulitplying 1015.


CHEMISTRY


Q.2 Consider d-electrons of Fe atom:-(i) Pairs of exchange energy = A (ii) Pairs of Coulombic repulsion energy = B(iii) Electrons which have l = 2 value = C (iv) Spin multiplicity = DWrite sum of A, B, C & D


CHEMISTRY


Q.3 A H-like species is in some excited state (A) and on absorbing a photon of energy 3.868 eV getspromoted to a new state B. When the electrons from state B return back to ground state directly orindirectly, photons of ten different wavelengths are observed in which only seven photons have energygreater than 3.868 eV. Determine the orbit number of state A.


CHEMISTRY


Q.4 If ratio of angular momentum of electron in orbit to orbital is nearly 1.22. Suppose such type orbitalshave highest energy & completely filled up in this atom than calculated shielding constant for distantelectron (your answer reported in multiplication of 100)


CHEMISTRY


Q.5 Find the principal quantum number for an orbital having 22

31

4r/'k rkrkrek)r( .

MATHEMATICS





Q.1 If 0 x < 10 then number of integral solution of the inequality 511

47

)7x()6x(|4x|

)9x()6x5(x

0, is

(A) 7 (B) 9 (C) 5 (D) 6

Q.2 sin (1560°) + cos (� 3030°) + tan (� 1260°) has the value equal to

(A) � 3 (B) 3 (C) 0 (D) 1

Q.3 If = 12

then the value of the expression E =

cot

cot1

tan

tan1 22

is equal to

(A) 8 (B) 4 (C) 12 (D) 24

Q.4 If 2sin2x + 3sin x + 1 = 0 then the sum of all the values of x lying in [0, 2] is 2

k where k is

(A) 9 (B) 7 (C) 5 (D) 3

MATHEMATICS




Q.5 Number of values of x lying in [0, 2] and satisfying the equation sin x + cos x = 1, is(A) one (B) two (C) three (D) four

Q.6 Let x =

111148

log 75.0 and y =

32

sin3

2sin

4cos

4cos

, then (x � y) is the tangent of the angle

(A) 12

(B) 8

(C) 125

(D) 8

3

Q.7 Let m and M be the least and greatest value of 2sin2 � 5 cos + 2 R , then (2m + M) equals(A) 0 (B) 1 (C) 4 (D) 15

Q.8 Let a denotes the logarithm of 3.0 to the base 1.0 , b denotes the logarithm of 243 to the base 81

and c denotes the number whose logarithm to the base 0.64 is minus 2

1. Then the value of

ab

c, is

(A) lies between 4 and 5. (B) odd composite.(C) odd prime. (D) lies in (1, 3)

MATHEMATICS





Q.9 Which of the following statement(s) is/are possible?(A) 2 sin2 = loge + log

e (B) (a2 + b2) cos = 2ab

(C) (m2 + n2) cosec = m2 � n2 (D) cot = 2.375

Q.10 Possible value(s) of satisfying the equation 4 sin2 + 3sin312 = 0 can be

(A) 6

7(B)

3

2(C)

3

5(D)

6

11


Q.11 If sin = 5

3 ,

2

< < and cos =

13

5, < <

2

3, then the correct statement(s) is(are)

(A) tan ( � ) = 1663

(B) tan ( + ) = 5633

(C) sin = 25

24(D) cos 2=

169

119

Q.12 The following figure illustrate the graph of a quadratic trinomial y = ax2 + bx + c, then which of thefollowing is(are) necessarily holds ?

(A) 0c

ba2

(B) a � b � c < 0 x

y

O

(C) abc < 0 (D) bc < 0

MATHEMATICS



PART-B[MATRIX TYPE]


Q.1 COLUMN-I COLUMN-II

(A) The value of

627627log2 is equal to (P) 0

(B) If P(x) = 3 (sin4x + cos4x + 1) � 2 (sin6x + cos6x) (Q) 1

then the value of

5P is equal to (R) 2

(C) If =

100cos222

20sin20cos then the value of 42 is equal to (S) 3

(D) If (xyz)x + y + z = 1 where xyz 1 and log3 (xyz) = � 1, (T) 4then logxyz (x

3 + y3 + z3) equals

MATHEMATICS




Q.1 to Q.5 are "Integer Type" questions. (The answer to each of the questions are upto 4 digits)[5 Marks]

Q.1 If

13cos4sin6cos3sin2cossin

13sin4sin6sin3sin2sinsin = tan (k), then find k.

MATHEMATICS



Q.2 Let the exact value of cos7

+ cos2

7

� 2 cos3

7

is a rational number in the form

q

p, where p and

q are integers. Find (p + q).

MATHEMATICS



Q.3 Let f = 7

6sec

7

5sec

7

4sec

7

3sec

7

2sec

7sec0sec

and c = cot 1° + cot 2° + cot 3° + ......... + cot 177° + cot 178° + cot 179°.

Find (f 2 + c2 ).

MATHEMATICS



Q.4 Find the number of real values of x satisfying the equation log2 (4x + 1 + 4) · log2 (4

x + 1) = 3.

MATHEMATICS



Q.5 Find the exact value of cosec 170° + 3 sec 170°.

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