CODE : CYAN
29442/QB/HYD-NCO-CO / IITJEE / 14-2-2011 / IITJEE
NARAYANA IIT ACADEMY
INDIA IITJEE MODEL Time : 3:00
GRAND TEST-15 (PAPER -1)
Exam Date : 19-2-2011 Max Marks : 240
ID.NO :
INSTRUCTIONS :
1) This booklet is your Questions Paper containing 60 questions. Maximum marks: 240. 2) The question paper consists of 3 parts (Chemistry, Mathematics and Physics).Each part has 4 sections. 3) Section-I contains 8 multiple choice questions. Q.No: 1 to 8, 21 to 28 and 41 to 48. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct. For each questions in Section I, you will be awarded 3 marks if you have darkened only the bubble corresponding to the correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus one (-1) mark will be awarded. 4) Section-II contains 4 multiple correct answer(s) type questions. Q.No: 9 to 12, 29 to 32 and 49 to 52. Each question has 4 choices (A), (B), (C) and (D), out of which ONE OR MORE is/are correct. For each question in Section II, you will be awarded 4 marks if if you have darkened darkened all the bubble(s) corresponding to the correct correct choice(s) for the answer, answer, and zero mark if i f no bubble is darkened. In all other cases, minus one (-1) mark will be awarded. 5) Section-III contains 2 paragraphs. Based upon each paragraph, 3 multiple choice questions bearing Q.No: 13 to 18, 33 to 38, 53 to 58 have to be answered. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. For each question in Section III, you will be awarded 4 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubble is darkened. In all other cases minus one(-1) mark will be awarded. 6) Section-IV contains 2 questions. Q.No: 19, 20, 39, 40 and 59, 60. Each question contains statements given in two columns, which have to be matched. The statements in Column I are labeled A, B, C and D, while the statements in Column II are labeled p, q, r, s and t. Any given statement in Column I can have correct matching with ONE OR MORE statement(s) in Column II. I I. For each question questi on in Section IV, you will be awarded 2 marks for each row in which you have darkened the bubble(s) corresponding to the correct answer. Thus, each question in this section carries a maximum of 8 marks. There is no negative marking for incorrect answer(s) for this section.
This Question paper contains 20 Pages
GRAND TEST-15 PAPER-1_19-02-11
CHEMISTRY SECTION-1
Section-I contains 8 multiple choice questions. Each question has 4 choices (A) , (B) , (C) and (D) , out of which ONLY ONE is correct. For each questions in Section I , you will be awarded 3 marks if you have darkened only the bubble corresponding to the correct correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrect answer , minus one (-1) mark will will be awarded. 1) Analysis shows that nickel oxide consists of nickel ions with 96% ions having d 8
configuration and 4% ions having d 7 configuration which among following best represents the formula of the nickel oxide ? (Atomic number of Ni = 28) A) Ni1.02O
B) Ni0.96O
C) Ni0.97O
D) Ni0.98O
2) Which of following statements is correct for the complex K Fe CN O 4 5 2
having t26g , eg0 electronic configuration? A) d 2 sp3 hybridized and diamagnetic
B) sp3d 2 hybridized and paramagnetic
C) sp3d 2 hybridized and diamagnetic
D) d 2 sp 3 hybridized and paramagnetic
3) An electron in an atom jumps from one energy level to another energy level in such a x way that its kinetic kinetic energy energy changes changes from from ' x ' to . The change in potential energy will
4
be A)
3 x 2
B)
3 x 8
C)
3 x 4
D)
3 x 4
4) The reaction 2 A g B g 2 AB g is second order in A and first order in B . 2 2
When 10 mole of A and 4 mol B2 are taken in vessel of volume 2dm3 together, and the
initial rate is 2 10 3 mole dm3 s 1 . What will be the rate when half quantity of the B2 has reacted ? A)
4.3 103 mol dm 3 s 1
B)
3.6 104 mol dm d m 3 s 1
C)
3.6 103 mol dm 3 s 1
D)
3.2 103 mol dm 3 s 1
Space for rough work
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GRAND TEST-15 PAPER-1_19-02-11
5) Which of the following can give immediate turbidity on treatment with Lucas Reagent?
A)
B)
CH 3 CH 2 CH 2 OH
OH
C)
OH
D) CH 2
CH CH 2 OH
6) Most stable conformer of 2-fluoro ethanol is
A)
B)
F
C)
F
D)
OH
H
H
H
OH
H
H
H
H
H
H
H
F
OH
H
H
H H
H H
OH
F
7) Consider the following equilibria : CH 3COOH H 2 O H 3O CH 3COO CH COOH H 2 SO4 CH 3COOH 3 2 H NO H 2 SO4 HNO3 2 3
NH 3 H 2O NH 4
HSO4
HSO4
OH
Select the incorrect statement among the following A) H 2 SO4 is a stronger acid than HNO3 B) NH 4 is weaker acid than H 2O C)
Acetic acid is stronger acid than H 2O
D) H 2O is a weaker acid than H 2 SO4 and HNO3 both Space for rough work
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GRAND TEST-15 PAPER-1_19-02-11
8) Nitrogen and oxygen exist as diatomic but their congeners are P4 and S8 respectively
because A) Phosphorus and sulphur are solids B) Phosphorus and sulphur catenate due to the existence of d-orbitals and form strainles structures C) Phosphorus and sulphur polymerise as soon as they are formed D) Catenation tendency of P and S is stronger because of the high P-P and S-S bond energies as compared to N-N and O-O bond energies SECTION-2
Section-II contains 4 multiple correct answer(s) type questions. Each question has 4 choices (A) , (B) , (C) and (D) , out of which ONE OR MORE is/are correct. For each question in Section II you will be awarded 4 marks if you have darkened all the bubble(s) corresponding to the correct choice(s) for the answer , and zero mark if no bubble is darkened. In all other cases , minus one (-1) mark will be awarded. 9) Product (s) formed during this reaction are *
CH2 - CH2 - OTs
A)
AcONa * AcOH C isotopic carbon
*
B)
* CH2 - CH 2 - OTS
D)
CH2 - CH2 - OAc
C)
* CH2 - CH 2 - OAc
CH = CH 2
OAc
10) Which of the following set of molecules have same shape but different hybridization
A) H 2O, SnCl2
B) XeO3 , BrF 3
C) XeO4 , SF 4
Space for rough work
D) BeCl , I 2 3 Page 4 of 20
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GRAND TEST-15 PAPER-1_19-02-11
11) A On is oxidized to AO by KMnO in acidic medium. If 1.34 mmol of A On requires 2 3 4 2
32.2mL of 0.05 M acidified KMnO4 solution for complete oxidation, which of the following statement (s) is (are) correct? A) The value of n = 2 B) Empirical formula of oxide is AO C) 1.0 mol of A2On would require 1.0mol of acidified K 2Cr2O7 solution D)
can be a metal from second group of Periodic Table
12) CaCO3
A B gas
A H 2O C CB
D
white ppt
H 2O
H 2O D B gas
E
Boil BaCl
F
2 water soluble white ppt Select the correct option(s) for white ppts. shown in the above reactions.
A) CaCO3
B) MgCO3
C) BaCO3
D) Na2CO3
SECTION-3
Section-III contains 2 paragraphs. Based upon each paragraph , 3 multiple choice questions have to be answered. Each question has 4 choices (A) , (B) , (C) and (D) out of which ONLY ONE is correct. For each question in Section III , you will be awarded 4 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubble is darkened. In all other cases , minus one (-1) mark will be awarded. P)
crystallize in rock salt structure. Its cell parameter can be determined by various experimental methods like electrical conductivity measurement, colligative properties measurement, pH measurement etc. A cubic crystal of CuSO4 of edge length 17.1mm is dissolved in water to make 500ml solution of pH 5.
3
7 1.9
2
Cu H O OH H O ; K 105 Given : Cu H 2O 6 H 2O 2 5 3
13) Moles of CuSO4 dissolved in water to make above solution is
A) 105
B) 2 105
C) 2 104
Space for rough work
D) 5 106 Page 5 of 20
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GRAND TEST-15 PAPER-1_19-02-11
14) Edge length of FCC unit cell of copper sulphate is
A)
B)
0
190 A
C)
0
270 A
D)
0
120 A
15) If the given solution of CuSO is made 1M with respect to NH , 4 3 2 15 . is 10 M K f for the formation of Cu NH 3 4
A) 1010 P)
B) 108 O
NH
0
300 A
Cu 2 becomes
C) 2 108
D) 2 1010
OH
conc. H2 SO4 Polymerize 2 P3 P P 1 2 Mild acid medium
16) Which type of the isomerism can be shown by P1 ?
A)
Geometrical isomerism
B)
Optical isomerism
C)
Tautomerism
D)
All of these
17) The conversion of P1 to P2 involves
A) Nitrene
B) Electron deficient nitrogen
C) Negatively charge Nitrogen
D) Electron deficient oxygen
18) Which of the following is monomer of P3.
A) Caprolactol
B) Caprolactum
C) Isoprene
Space for rough work
D) Caprolactone
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GRAND TEST-15 PAPER-1_19-02-11
SECTION-4 Section-IV contains 2 questions. Each question contains statements given in two columns , which have to be matched. The statements in Column I are labeled A , B , C and D , while the statements in Column II are labeled p , q , r , s and t. Any given statement in Column I can have correct matching with ONE OR MORE statement(s) in Column II. For each question in Section IV , you will be awarded 2 marks for each row in which you have darkened the bubble(s) corresponding to the correct answer. Thus , each question in this section carries a maximum of 8 marks. There is no negative marking for incorrect answer(s) for this section.
19) Match the Following: Column I (Compounds)
(a)
CH 3 C H |
Column II (Can be differentiated by)
CH 3 & CH 3 CH 2 CH 2OH
(p) Lucas reagent
OH
(b)
(q) Victor Meyer test CH 3 |
CH 2
CH CH 2 OH & CH 3 C CH 3 |
OH
(c)
CH2 - CH 3
(r)
Cl CH CH3
Iodoform test
& Cl
(D)
H 2C CHCl & CH 3 C Cl 3
(s) Aqueous AgNO3
20) Match the Following: Column I
Column II
(a)
Linear shape
(p) CS 2
(b)
Sp hybridization
(q) N 3
(c)
sp 3d hybridization
(r) I 3
(d)
CO2 is isostructural to
(s) NCO (t) NO 2
Space for rough work
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GRAND TEST-15 PAPER-1_19-02-11
MATHEMATICS SECTION-1 Section-I contains 8 multiple choice questions. Each question has 4 choices (A) , (B) , (C) and (D) , out of which ONLY ONE is correct. For each questions in Section I , you will be awarded 3 marks if you have darkened only the bubble corresponding to the correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrect answer , minus one (-1) mark will be awarded.
21) Let f x P x q, p 0 is onto when defined from
1,1 to 0,2 , then
cot 1 tan 2 sin 1 sin 3 is equal to 2 A) f 0
1 2
B) f 1
C) f
D) f 1
22) A certain polynomial P x when divided by x a, x b, x c leaves remainders a, b, c
respectively. The remainder when: P x is divided by x a x b x c is (where a, b, c are constants) A) 0
C) a x b c
B) x
D) a x 2 b x c
23) The equation of line segment AB is y x. If A & B lie on same side of line mirror
2 x y 1, then the equation of image of AB with respect to line mirror 2 x y 1 is A) y 7 x 5
B) y 7 x 6
24) 21 x 2 y 2 z 2
A) C)
C) y 3 x 7
x 2 y 4 z 2 , then x, y, z are in
A.P. H.P.
25)
Let g x
B) D) f x c
f x 2c
f x 3c
f c
f 2c
f 3c
f
D) y 6 x 5
' c
f
' 2 c
where c is constant then lim
x 0
g x x
f
G.P. Not in A.P. /G.P./H.P.
,
' 3 c
is equal to
Space for rough work
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A) 0
GRAND TEST-15 PAPER-1_19-02-11
D) f c
C) 1
B) 1
26) Let f : R 3,5 be a differentiable function such that lim f x f x
' x 3,
then lim f x x
A) B) C) D)
Can be obtained and is equal to 4 Can be obtained and is equal to 3 Can be obtained and is equal to 5 Can not be obtained from the given information
27) The number of solutions of the equation 2 cos x
A) 8
B) 2
28) If f x 3 x
A) B) C) D)
sin x in 2 , 2 is
C) 3
x 2 and g x sin x, then domain of
D) 4 fog x is
2 n , n I 2 7 11 2 n 6 ,2 n 6 nI 2 n , n I 6 4 m 1 ; m I 2 n 7 , 2 n 11 2 6 6 nI SECTION-2
Section-II contains 4 multiple correct answer(s) type questions. Each question has 4 choices (A) , (B) , (C) and (D) , out of which ONE OR MORE is/are correct. For each question in Section II , you will be awarded 4 marks if you have darkened all the bubble(s) corresponding to the correct choice(s) for the answer , and zero mark if no bubble is darkened. In all other cases , minus one (-1) mark will be awarded. 29) Equation of a tangent to the parabola y 2 y
8 x which makes an angle 45 with the line
3 x 5 is
A) 2 x y 1 0
B) y 2 x 1
C) x 2 y 8 0
Space for rough work
D) x 2 y 8 0 Page 9 of 20
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30)
GRAND TEST-15 PAPER-1_19-02-11 7
2
Let J
1 cot 1 cot 1 x dx and x 1
K
sin x dx sin x 2
Then which of the following alternative(s) is/are correct? A) 2 J 3 K 8
B) 4 J 2 K 2 26 2 C) 2 J K 3
D)
J K
2 5
31) If 3sin sin 2 then
A) cot cot cot 3cot 2 6
B) sin cos sin
C) 2sin sin cos
D) tan 2 tan
32) If Rolle’s Theorem is applicable to the function f x defined by
a x2 b , x 1 1 , x 1 f x c , x 1 x in the interval 3,3 , then which of the following alternative(s) is/are correct ? b c 3
A)
abc 2
B)
a
C)
2 a 4 b 3c 8
D)
4 a 2 4 b2 5 c 2 15
SECTION-3
Section-III contains 2 paragraphs. Based upon each paragraph , 3 multiple choice questions have to be answered. Each question has 4 choices (A) , (B) , (C) and (D) out of which ONLY ONE is correct. For each question in Section III , you will be awarded 4 marks if you darken the bubble corresponding to the correct answer and zero m ark if no bubble is darkened. In all other cases , minus one (-1) mark will be awarded. Space for rough work
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GRAND TEST-15 PAPER-1_19-02-11
P) If r th term of a series can be written as a f r f r 1 , then r n
Sn 33)
a r f n f 0 and r 1
lim
n
S n , then
4 r 1 5 r Value of 2 r r r 1 B) is 5
A) is 5 34)
S
Value of cos1 1
50
1
sin n sin1
C) is 10 50
1 cos n is equal to
B) sin 500 sin10
A) sin500
35) If 3 3! 4 4! 5 5! .... 50 terms
A) 45
D) Grows without bound
B) 50
C) sin 510 sin10
D)
1 2
a ! b ! then a b is equal to C) 47
P) Let f x be a polynomial of degree n and let
D) 48
1, 2 ,......n be its real roots.
If R be any arbitrary number, then f x can uniquely be expressed as f x C0 x
n 1
n
C1 x C2 x polynomial g x 2 x3 6 x 2 7 x 5
n2
..... Cn 1 x C n for a
36) If g x C x 2 3 C x 2 2 C x 2 C , then C0 C1 C2 C3 0 1 2 3
A) 90
B) 91
C) 92
D) 0
37) If g x C x 2 3 C x 2 2 C x 2 C , then C 2 is equal to 0 1 2 3
A) 40
B) 39
38) For g x C x 2 3 C x 2 2 C x 2 C , then C 3 0 1 2 3
A) 30
B) 31
D) 41
C) 41
C) 32
Space for rough work
D) 31
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GRAND TEST-15 PAPER-1_19-02-11
SECTION-4 Section-IV contains 2 questions. Each question contains statements given in two columns , which have to be matched. The statements in Column I are labeled A , B , C and D , while the statements in Column II are labeled p , q , r , s and t. Any given statement in Column I can have correct matching with ONE OR MORE statement(s) in Column II. For each question in Section IV , you will be awarded 2 marks for each row in which you have darkened the bubble(s) corresponding to the correct answer. Thus , each question in this section carries a maximum of 8 marks. There is no negative marking for incorrect answer(s) for this section.
39) Match the Following: Column I
(A)
dy dx
(B)
dy dx
e x
y
(p) y 3 2 x 2 x 2 y c
1
x y 1 e x
Column II
y
4 xy 2 3 y 2 2x2
(q) x k e sin 1 y x 0
(C) x dy y dx x 2 y 2 dx
(r)
(D) x 4 x dy y dx y 2 1 x 2 y 2 x dy y dx 0
(s) x y e x y c
3
1 y tan x y c 3 x 1
40) Match the Following: Column I
Column II
(A)
The number of positive integral solutions of the equations (p) 2 x1 x2 x3 x4 1050 is , then is divisible by
(B)
If n is the number between 500 and 4000 that can be (q) 3 formed with the digits 2,3,4,5,6 when repetition is not allowed, then n is divisible by
(C)
If 3 is the number of solutions of x y z 15, such that (r) x 1, y 2 and z 3, then 3 is divisible by
5
(D)
The largest integer n for which 34 ! is divisible by 3 n has (s) its factors as
11
Space for rough work
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GRAND TEST-15 PAPER-1_19-02-11
PHYSICS SECTION-1 Section-I contains 8 multiple choice questions. Each question has 4 choices (A) , (B) , (C) and (D) , out of which ONLY ONE is correct. For each questions in Section I , you will be awarded 3 marks if you have darkened only the bubble corresponding to the correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus one (-1) mark will be awarded.
41) The magnetic flux through each of five faces of a neutral playing dice is given by NWb, where N 1 t o 5 is the number of spots on the face. Thus flux is
positive (out-ward) for N even and negative (in ward) for N odd. What is the flux through the sixth face of the die? A) 3Wb
B) 4 Wb
C) 3 Wb
D) 4 Wb
42) Three liquids A,B and C are at temperature of 600 C , 550 C and 500 C respectively 4 g
of A mixed with 3g of C gives 550 C and 2g of A mixed with 3 g of B gives 57 0 C . The temperature of the mixture when equal masses of B and C are mixed is A) 52.10 C
B) 550 C
C) 52.50 C
D) 530 C
43) The binding energies of the atom of elements A & B are E a & E b respectively. Three
atoms of the element B fuse to give one atom of element A. This fusion process is accompained by release of energy e. Then Ea, E b are related to each other as A) Ea e 3E b
B) Ea 3E b
C) Ea e 3E b
D) Ea 3Eb e 0
44) In the system shown in figure find the angular frequency of small oscillations of block
of mass M. Here Pulley has moment of inertia I about horizontal axis passing through O. In equilibrium, Line OA is horizontal:
A) R
K
2 I MR 2
B) R
K
2 M
C)
R
K
D) R
I
2
Space for rough work
K
2 I MR 2 Page 13 of 20
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GRAND TEST-15 PAPER-1_19-02-11
45) Two rods are joined between fixed supports as shown in the figure. Condition for no change in the length of individual rods with the increase of temperature (α 1 , α 2 linear
expansion co efficient, A1, A2 area of cross section of rods, y1 , y 2 Young modulus)
A) A1 A2
α 1 y1
B) A1
α 2 y2
A2
L1 α 1 y1
C) A1
L 2 α 2 y2
A2
L 2 α 2 y 2
D) A1
L1 α1 y1
A2
α 2 y2 α1 y1
46) A jet traveling at a constant speed of 1.20 10 2 m / s executes a vertical loop with a
radius of 5.00 10 2 m . (See Fig). find the magnitude of the force of the seat on a 70.0kg pilot at the top of the loop. (Take g 10 m / s 2 )
A) 1316N
B) 2700N
C) 700N
D) 2000N
47) Consider the circuit shown in figure (Assume that batteries and ammeter are ideal).
Initially when the key K is open reading of ammeter is I. now if key k is closed. Space for rough work
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GRAND TEST-15 PAPER-1_19-02-11
A)
If ε 2 ε1 reading of ammeter will not change
B)
If ε 2 2 ε1 reading of ammeter will not change
C)
If ε 2 ε1 reading of ammeter will be zero
D)
If ε 2 ε1 reading of ammeter will be more than I.
48) Two point charges + q and -4q are placed at
a,0 and a, 0 . Take electric field
intensity to be positive if it is along positive x direction and negative if along negative x direction. The variation of the electric field intensity as one moves along the x axis is A)
B)
C)
D)
SECTION-2
Section-II contains 4 multiple correct answer(s) type questions. Each question has 4 choices (A) , (B) , (C) and (D) , out of which ONE OR MORE is/are correct. For each question in Section II , you will be awarded 4 marks if you have darkened all the bubble(s) corresponding to the correct choice(s) for the answer , and zero mark if no bubble is darkened. In all other cases , minus one (-1) mark will be awarded. 49) The potential at a is higher than the potential at b which of the following statements
about ideal inductor can be true?
Space for rough work
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A) B) C) D)
GRAND TEST-15 PAPER-1_19-02-11
If I is from a to b, it is steady If I is from a to b, it is increasing If I is from b to a, it is decreasing If I is from b to a, it is increasing
50) A single conservative force acts on a 1kg particle that moves along x axis . The 2
potential energy of the particle varies with x as U 20 x 2 here U is in joules and x is in meters. When the particle is at x 5 m , its kinetic energy is 20 J . Then which of the following is/are correct? A) Mechanical energy of particle is
.
B) Least and greatest value of x between which particle can move is 2 29 m and
2
29 m respectively
C) Maximum kinetic energy of the particle is 29 J D) At x 2 the body is in equilibrium
particles A and B have charge and mass q, m and q, 2m respectively. They are projected simultaneously from same height h horizontally towards each other with velocity v0 . Assume acceleration due to gravity to be
51) Two
uniform and vertically downward. Neglect the force due to magnetic field and effect of time verying magnetic and electric field. Assume that distance D is sufficiently large so that there is no collision between these particles. Select the correct statements:
A) The time to hit the ground is independent of v0 . B) The two particles will be always at the same height. C) The particle B will be always below the particle A. D) The particle A will be always below the particle B. Space for rough work
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52) A sound wave of length of frequency v travels horizontally to the right. It is reflected
from a large vertical plane surface moving to left with a speed u. the speed of sound in medium is c. A) B)
The number of waves striking the surface per second is The wavelength of reflected wave is
c u c
v
c c u v c u
C) The frequency of the reflected wave as observed by the stationary observer is v
c u c u
D) The number of beats heard by a stationary listener to the left of the reflecting surface is
uv cu SECTION-3
Section-III contains 2 paragraphs. Based upon each paragraph , 3 multiple choice questions have to be answered. Each question has 4 choices (A) , (B) , (C) and (D) out of which ONLY ONE is correct. For each question in Section III , you will be awarded 4 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubble is darkened. In all other cases , minus one (-1) mark will be awarded. P) The figure shows a cylinder container, fitted with a piston. It contains two immiscible incompressible liquids with densities ρ 1 and ρ 2 . A block floats in equilibrium in the
position shown.
Space for rough work
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53) Suppose the spring is initially in compressed state. Now, if the piston is moved
downwards slowly then A) B) C) D)
Spring will become more compressed Spring will become less compressed The compression in spring will remain same as before. Nothing can be said
54) Suppose the spring is initially in compressed state. Now, if the whole system is moved
with some acceleration upward then A) B) C) D)
Spring will become more compressed Spring will become less compressed The compression in spring will remain same as before. Nothing can be said
55) Suppose the spring is initially in relaxed state. The piston is moved downward slowly
and the whole system is accelerated upward then A) B) C) D) P)
Spring will become compressed Spring will become stretched No change will occur in the state of the spring . Nothing can be said
A small block of mass m, can move without friction on the outside of a fixed vertical circular track of radius R. The block is attached to a spring of natural length R/2 and spring constant k. The other end of spring is connected to a point at height R/2 directly above the centre of track..
56) If the block is released from rest when the spring is in horizontal state (see figure) then
at that moment, A) B) C)
3 kR 2 4m
Tangential acceleration is g Radial acceleration is
g
2
Tangential acceleration is
kR 3
4m g
2
3 1
3 1
kR 3
4m
3 1
Space for rough work
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D)
Radial acceleration is g
3 kR 2 4m
GRAND TEST-15 PAPER-1_19-02-11
3 1
57) Consider block to be at rest at top most point A of track. If the block is slowly pushed
from rest at the highest point A, when the spring reaches in horizontal state, then. A)
3kR 2 Spring potential energy is 2 3 4 B) 2 kR 2 Spring potential energy is 3 1 8 C)
mgR 2 D) 3mgR Gravitational potential energy (taking U 0 at θ 0 ) is 8 Gravitational potential energy (taking U 0 at θ 0 ) is
58) If the complete setup is in a gravity free space, then the minimum speed v required at 0
the highest point A to just reach the lowest point is A) C)
2 R R
k m k
B)
3 R k 2 m D) Motion not possible in gravity free space
m SECTION-4
Section-IV contains 2 questions. Each question contains statements given in two columns , which have to be matched. The statements in Column I are labeled A , B , C and D , while the statements in Column II are labeled p , q , r , s and t. Any given statement in Column I can have correct matching with ONE OR MORE statement(s) in Column II. For each question in Section IV , you will be awarded 2 marks for each row in which you have darkened the bubble(s) corresponding to the correct answer. Thus , each question in this section carries a maximum of 8 marks. There is no negative marking for incorrect answer(s) for this section.
59) An electric circuit is shown. In the circuit there are three elements X,Y and Z. The high
potential point is shown by positive sign and low potential point is shown by negative sign. In one column different conditions are given and in other column effects are given, match them properly. Any of the circuit element is either battery or resistor. Space for rough work
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This Question paper contains 20 Pages
Column I
(a) (b) (c) (d)
GRAND TEST-15 PAPER-1_19-02-11
Column II
If X is a resistance If X is a battery If Y is a resistance If Y is a battery
(p) (q) (r) (s) (t)
current will flow clockwise current will flow anticlockwise Z will act like a load Z will act like a source It is not possible to decide whether Z is a battery or resistor
60) Match the Following:
In each situation of Column – I a physical quantity related to orbiting electron in a hydrogen like atom is given. The terms ‘Z’ and ‘n’ given in Column – II have usual meaning in Bohr’s theory, Match the quantities in Column – I with the terms they depend on in Column – II Column I
(A) (B) (C)
Column II
Frequency of orbiting electron (p) In directly proportional to Z 2 Angular momentum of orbiting (q) Is directly proportional to n electron Magnetic moment of orbiting electron (r) Is inversely proportional to n3
(D)
The average current due to orbiting of (s) electron
Is independent of Z
IF YOU HAVE GENUINE ACADEMIC PROBLEMS PAPERS SETTERS : HYD-KCO-C MATHS : MR.ALOK KUMAR – 9030929949 - : : MR. G.Bheem Reddy-9492041854 PHYSICS : MR.VYOMSHEKAR- 7842094189 : : MR.JAFARUDDIN-9866090432 CHEMISTRY: MR. LAWRENCE – 9703804794 : DR.R.V.S.MURTHY-9949187103.
Space for rough work
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