rt 2 dps batch
TRANSCRIPT
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Class: XI(DPS) 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-2contains Chemistry and Section-3contains 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 28.
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.
ForQ.1 to Q.4, you will be awarded 3 marks and forQ.5 to Q.8, you will be awarded 4 marks if you have darkenedonly 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.
ForQ.9 & Q.10, you will be awarded 4 marks and forQ.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 Fourstatements (A, B, C, D) given in Column-I and Fivestatements (P, Q, R, S, T) given in Column-II. Any given statement inColumn-I can have correct matching with one or more
statement(s) given inColumn-II. For example, if for a given question, statement B matches with the statement given in Q andR, then for the particular question, against statement B darken the bubbles corresponding to Q and R in the OMR. For eachrow, 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 andzero 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 mustfill 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 darkBlack Ball point Pen only.
REVIEW TEST-2
USEFUL DATA
Atomic 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 1019, m
e= 9.1 1031 kg ]
Take 0
= 8.85 1012 , g = 10 m/s2 unless otherwise stated
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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 cords
A and B as shown in the figure below. The tension in the horizontal cord
A (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) A2B2 (C) BA
(D) )BA(2
Q.5 to Q.8 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct. [4 Marks]
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
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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 of3
2with 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) Nj4i3 (B) Nj80i60
(C) Nj60i80 (D) Nj50i40
Q.8 Find the value of a for which the vectors k9j3i3
and k3jai are parallel.
(A) a = 1 (B) a = 0 (C) a = 3 (D)a =10
[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 = /T
( = mass/length,f= frequency and v = velocity)
He has forgotten what T represents in each equation. Use dimensional analysis to determine the physical
quantity 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.
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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] j3i2S1
[2] j3i5S2
[3] j10i7S3
which of the following combinations will land him into 2nd quadrant where cockroaches have prepared a
pond of dirty water for him ?
(A) 321 SSS
(B) 31 SS
(C) 32 SS
(D) 32 SS
Q.11 to Q.12 has four choices (A), (B), (C), (D) out of which ONE OR MORE may be correct. [5 Marks]
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, momentuangularL
, momentulinearp
& vectorpositionr
,
torque
, = frequency)
(A)2
1mv2 = AA (B) p =
v
A2 2
2
c
v1
(C) sin (kl) = kmE2A
2
(D) = Al
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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-Ican have correct matching with one or more statement(s) given in Column-II.
Q.1 A partricle is moving in xy plane in such a way so that position vector of particle w.r.t. origin at time t is
given by jtit3r 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) vadt
d at t = 2 sec. here a
is acceleration, (S) 13
v
is velocity (T) 6
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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 by
PV = AT + BT2
PPressure, VVolume, T - Temp
Find the dimension of length L in constant B is
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Q.2 If k4j3i2A
& k8j2iB
, Then the value of )BA(A
is N. Find N.
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Q.3 The dot product of 2 vectors is 8 units and the magnitude of their resultant is 41 units. If we rotate the
vectors without changing the magnitude such that they are now perpendicular to each other, what is their
new resultant.
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Q.4 y = x34x2 + 5. The value of 2
2
dx
ydat x = 2 is N. Find N.
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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.
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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 The radius of which of the following orbit is same as that of the first Bohrs orbit of hydrogen atom?
(A) He+ ( n = 2) (B) Li2+ ( n = 3) (C) Li2+ ( n = 2) (D) Be3+ ( n = 2)
Q.2 The respective values of orbital angular momentum of an electron in 1s, 2s, 3d and 3p-orbitals are :
(A) 0, 0, 2
h2,
2
h6 (B) 1, 1,
2
h2,
2
h4
(C) 0, 1, 2
h3,
2
h6 (D) 0, 0
2
h6,
2
h20
Q.3 Which of the following pair of orbitals, the probability of finding the electron is zero in xy plane?
(A) 22 yxyz d4,d3 (B) 2zz d3,p2 (C) zzx p3,d4 (D) None of these
Q.4 de Broglie wavelengths of two particles A and B are plotted against
V
1;
where V is the potential on the particles. Which of the following relations is
correct about the mass of the particles?
(A) mA
= mB
(B) mA
> mB
(C) mA
< mB
(D) mA mB
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Q.5 to Q.8 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct. [4 Marks]
Q.5 An energy of 24.6 eV is required to remove one of the electrons from a helium atom. The energy
required to remove both electrons from helium atom is:
(A) 38.2 eV (B) 49.2 eV (C) 51.8 eV (D) 79 eV
Q.6 Balmer gave an equation for wavelength of visible region of H-spectrum as4n
Kn2
2
. The value of K
in terms of Rydberg constant R, is :
(A) R (B) 4R (C) R/4 (D) 4/R
Q.7 The Schrodinger wave equation for hydrogen atom is
0a/r
0
2/3
0
s2 ea
r2
a
1
24
1
Here, a0
is the Bohr's radius. If the radial node in 2s is r0, then r
0would be equal to :
(A) 2a0
(B)2
a 0(C)
0a2 (D) 2
a0
Q.8 Let us consider following graph for radial
distribution function. Which of the following
has correct matching of curve and orbital ?
(A) A (3p) B (3d) C (3s)
(B) A (3s) B (3p) C (3d)
r(Distance from nucleus)
4 r R( ) 2 2
C
B
A(C) A (3d) B (3p) C (3s)
(D) A (3s) B (3d) C (3p)
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[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 Which of the following sets of quantum numbers is/are not possible ?
n l m s
(A) 4 4 2 +1/2(B) 3 0 0 1/2(C) 3 2 3 1/2(D) 5 3 0 +1/2
Q.10 X2 is isoelectronic with "NO" and has z + 1 neutron. (z is atomic number of X), then
(A) Mass number of X2 is 27 (B) Mass number of X2 is 57
(C) Atomic number of X2 is 28 (D) Number of protons in X2 is 13
Q.11 to Q.12 has four choices (A), (B), (C), (D) out of which ONE OR MORE may be correct. [5 Marks]
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 (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 Which of the following statement(s) is(are) false
(A) The 2nd IE of He atom is four times the IE of H atom and 3rd IE of Li atom is 9 times the IE of Hatom.(B) For a Bohr's atom, ratio of PE : KE : TE is 1:2 : 1(C) Density of nucleus of He atom is double than that of H atom
(D) As we move away from nucleus in Bohr's atom, velocity of electron increases.
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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-Ican have correct matching with one or more statement(s) given in Column-II.
Q.1 Column I Column II
(Orbital) (Nodal properties)
(A) 5s (P) Number of radial node = 1
(B) 3dyz
(Q) Number of angular node = 0
(C) 4dxy
(R) Sum of radial and angular node = 3
(D) 3px
(S) Number of radial node = 0
(T) yz plane is a nodal plane.
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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 In a collection of H-atoms, all electrons jump from n = 5 to ground state (directly or indirectly) without
emitting any line in Paschen series. The number of possible different radiations are
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Q.2 A H-like species is in some excited state (A) and on absorbing a photon of energy 3.868 eV gets
promoted to a new state B. When the electrons from state B return back to ground state directly or
indirectly, photons of ten different wavelengths are observed, in which only seven photons have energy
greater than 3.868 eV. Determine the orbit number of state A.
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Q.3 Find the principal quantum number for an orbital having 22314r/'k rkrkrek)r( .
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Q.4 A single electron system has ionisation energy 11790 kJ/mol. The number of protons in the nucleus of the
system will be ................(take Avegadro number = 6.021023)
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Q.5 If a = maximum number of wavelengths observed when electrons in Bohr's atom transit from 10th
excited state to 6th excited state and substantial atoms are present.
b = Minimum number of H atom require to show all types of transition when electron transit from
10th excited state to 6th excited state.
then calculate the value of a + b.
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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 The value of 81cos
63sin57sin3sin=
(A) 1 (B)2
1(C)
4
1(D)
4
3
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 22is 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] is2
kwhere k is
(A) 9 (B) 7 (C) 5 (D) 3
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Q.5 to Q.8 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct. [4 Marks]
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 =
111
148log 75.0 and y =
3
2sin
3
2sin
4cos
4cos
, then (xy) is the tangent of the angle
(A)12
(B)
8
(C)
12
5(D)
8
3
Q.7 Let m and M be the least and greatest value of 2sin25 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 minus2
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)
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[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 Which of the following statement(s) is/are possible?
(A) 2 sin2 = loge+ loge (B) (a
2 + b2) cos = 2ab(C) (m2 + n2) cosec = m2n2 (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 to Q.12 has four choices (A), (B), (C), (D) out of which ONE OR MORE may be correct. [5 Marks]
Q.11 If sin =5
3,2
< < and cos =
13
5,