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B-58, BUDDHA COLONY, PATNA - 800 001 , Mob.: 9334594165 / 66 / 67
XI FOUNDATION REVISION - TEST-1 (PCM ) [ 1 ]
Name of the Candidate : ________________________________________
Roll No. : ________________________________________
Centre Code : ________________________________________
Centre Town : ________________________________________
INSTRUCTIONS
(i) This Paper has 60 Objective type questions and 15 Integer
TypeQuestions. All questions are compulsory.
(ii) The Maximum marks for each question is 4.
(iii) 1 mark will be deducted against each negative response from the
total marks.
(iv) Use of calculator, slide rule, graph paper and trignometric tables is
NOT PERMITTED.
[ Time : 3.00 Hours ] [ Max. Marks : 300 ]Test CODE : XI - Foundation - Test - 1st (2019-2020)
Ascent ProgramA Series of Revision Class, Tests, Discussion and Doubt Program
for
XI FoundationTest - 1st
(PCM)
Help Line : 9334594165 / 66 / 67
B-58, BUDDHA COLONY, PATNA - 800 001, Website: www.goalinstitute.org
16.03.2020Date:
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B-58, BUDDHA COLONY, PATNA - 800 001 , Mob.: 9334594165 / 66 / 67
XI FOUNDATION REVISION - TEST-1 (PCM ) [ 2 ]
01. The van der Waals’ equation of state for some
gases can be expressed as
2
aP (V b) RT
V
where P is the pressure, V the molar volume, T
the absolute temperature of the given sample of
gas, and a, b and R are constants. The dimensions
of a are :
(1) ML5T–2 (2) ML–1T–2
(3) L3 (4) L6
02. A student when discussing the properties of a
medium (except vacuum) writes
Velocity of light in vacuum
= velocity of light in medium
This formula is :
(1) Dimensionally correct
(2) Dimensionally incorrect
(3) Numerically incorrect
(4) Both (1) and (3)
03. If X = a + b, the maximum percentage error in
the measurement of X will be :
(1)a b
100%a b
(2)a b
100%a b a b
(3)a b
100%a b a b
(4)a b
· 100%a b
04. Which of the following have got same
dimensions ?
a. Latent heat
b. Energy per unit mass
c. Gravitational potential
d. Specific heat
(1) “d” and “c” (2) “a” and “d”
(3) “a” and “b” (4) None of these
05. The resultant of two vectors A
and B
is
perpendicular to the vector A
and its magnitude
is equal to half of the magnitude of vector B
.
The angle between A
and B
is :
R
B
90°
A
(1) 120° (2) 150°
(3) 135° (4) None of these
06. The resultant of the three vectors OA, OB
and
OC
, shown in the following figure, is :
45°45°
r
r
A
B
C
r
O
(1) r (2) 2r
(3) r(1 2) (4) r( 2 1)
07. Given 21|A | 2,|A | 3
and 21|A A | 3
. Find
the value of 21 1 2(A 2 A ) · (3 A 4 A )
(1) –64 (2) –60
(3) –62 (4) –61
08. The angle which the vector ^ ^
A 2 i 3 j makes
with y-axis, where ^i and
^j are unit vectors
along x- and y-axes, respectively is :
(1) cos–1 (3/5) (2) cos–1 (2/3)
(3) tan–1 (2/3) (4) sin–1 (2/3)
[Time : 3 Hours] Full Marks : 300
XI FOUNDATION REVISION - TEST-1 (PCM) - 16.03.2020
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B-58, BUDDHA COLONY, PATNA - 800 001 , Mob.: 9334594165 / 66 / 67
XI FOUNDATION REVISION - TEST-1 (PCM ) [ 3 ]
09. In a two dimensional motion of a particle, the
particle moves from point A, position vector 1r
to point B, position vector 2r
. If the magnitudes
of these vectors are, respectively, r1 = 3 and
r2 = 4 and the angles they make with the
x-axis are 1 = 75° and 2 = 15°, respectively,
then find the magnitude of the displacement
vector.
A
B1r
2r12
(1) 15 (2) 13
(3) 17 (4) 15
10. Two vectors a
and b
are at an angle of 60° with
each other. Their resultant makes an angle of
45° with a
. If |b|
= 2 units, then |a|
is :
(1) 3 (2) 3 1
(3) 3 1 (4) 3/2
11. A thief is running away on a straight road in a
jeep moving with a speed of 9 ms–1. A policeman
chases him on a motor cycle moving at a speed
of 10 ms–1. If the instantaneous separation of
the jeep from the motor cycle is 100 m, how long
will it take for the policeman to catch the thief ?
(1) 1 s (2) 19 s
(3) 90 s (4) 100 s
12. A person is throwing two balls into the air one
after the other. He throws the second ball when
the first ball is at the highest point. If he is
throwing the balls every second, how high do they
rise ?
(1) 5 m (2) 3.75 m
(3) 2.50 m (4) 1.25 m
13. A drunkard is walking along a straight road. He
takes 5 steps forward and 3 steps backward and
so on. Each step is 1 m long and takes 1 s. There
is pit on the road 11 m away from the starting
point. The drunkard will fall into the pit after :
(1) 29 s (2) 21 s
(3) 37 s (4) 31 s
14. A particle is dropped from rest from a large height.
Assume g to be constant throughout the motion.
The time taken by it to fall through successive
distances of 1 m each will be :
(1) All equal, being equal to 2/g second
(2) In the ratio of the square roots of the integers
1, 2, 3, ......
(3) In the ratio of the difference in the square
roots of the integers, i.e., 1, ( 2 1),
( 3 2), ( 4 3) , .....
(4) In the ratio of the reciprocals of the square
roots of the integers, i.e., 1 1 1
, , , ....1 2 3
15. A ball is dropped into a well in which the water
level is at a depth h below the top. If the speed of
sound be c, then the time after which the splash
is heard will be given by :
(1)2 1
hgh c
(2)
2 1h
gh c
(3)2 1
hg c
(4)
2 1h
g c
16. A body is projected up a smooth inclined plane
with velocity u from the point A as shown in the
figure. The angle of inclination is 45° and the
top is connected to a well of diameter 40 m. If
the body just manages to cross the well, what is
the value of u ? Length of inclined plane is
20 2 m.
45°
A 40 m
B C
S
(1) 40 m/s (2) 40 2 m/s
(3) 20 m/s (4) 20 2 m/s
17. A ball rolls off the top of a staircase with a
horizontal velocity u m/s. If the steps are h metre
high and b metre wide, the ball will hit the edge
of the nth step, if :
(1) 2
2hun
gb (2)
22hun
gb
(3)
2
2
2hun
gb (4)
2
2
hun
gb
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B-58, BUDDHA COLONY, PATNA - 800 001 , Mob.: 9334594165 / 66 / 67
XI FOUNDATION REVISION - TEST-1 (PCM ) [ 4 ]
18. If a stone is to hit at a point which is at a distance
d away and at a height h above the point from
where the stone starts, then what is the value
of initial speed u if the stone is launched at an
angle ?
(1)g d
cos 2(d tan h)
(2)d g
cos 2(d tan h)
h
u
d
(3)
2
2
gd
hcos
(4)
2gd
(d h)
19. A particle is projected from the ground with an
initial speed of v at angle with the horizontal.
The average velocity of the particle between its
point of projection and highest point of trajectory
is :
(1)2v
1 2cos2
(2)2v
1 2cos3
(3)2v
1 3cos2
(4) v cos
20. The trajectory of a projectile in a vertical plane
is y = ax – bx2, where a and b are constants and
x and y are respectively horizontal and vertical
distances of the projectile from the point of
projection. The maximum height attained by the
particle and the angle of projection from the
horizontal are :
(1)2
1b, tan (b)
2a
(2)
21a
, tan (2b)b
(3)2
1a, tan (a)
4b
(4)
212a
, tan (a)b
Q. No. 21 to 25 Integer Type Questions
21. A bullet fired into a fixed target loses half of its
velocity after penetrating 3 cm. How much
further it will penetrate (in cm) before coming
to rest assuming that it faces constant
resistance to motion ?
22. The acceleration–time graph of a particle moving
along a straight line is as shown in figure.
10
y a/ms–2
4t/s
At what time the particle acquires its initial
velocity ?
23. The velocity–time graph of a body moving in a
straight line is shown.
2 4 6 8 10
v/ms–1
2
1
–1
–2
t/s
The displacement of the body in 10 s is :
24. The number of significant figures in 5.69 × 1015 kg
is :
25. The percentage error in the measurement of
mass and speed are 2% and 3%, respectively.
How much will be the maximum error in the
estimation of KE obtained by measuring mass
and speed ?
26. Number of atoms in the following samples of
substances is the largest in :
(1) 4.0 g of hydrogen (2) 71.0 g chlorine
(3) 127.0 g of iodine (4) 48.0 of magnesium
27. The ratio of number of oxygen atoms (O) in 16.0 g
ozone (O3), 28.0 g carbon monoxide (CO) and 16.0
oxygen (O2) is (Atomic mass : C = 12, O = 16 and
Avogadro’s constant NA = 6.0 × 1023 mol–1)
(1) 3 : 1 : 2 (2) 1 : 1 : 2
(3) 3 : 1 : 1 (4) 1 : 1 : 1
28. In a compound C, H and N atoms are present in
9 : 1 : 3.5 by weight. Molecular weight of
compound is 108. Molecular formula of compound
is :
(1) C2H6N2 (2) C3H4N
(3) C6H8N2 (4) C9H12N3
29. 2 3A 2B 3C AB C
Reaction of 6.0 g of A, 6.0 × 1023 atoms of B, and
0.036 mol of C yields 4.8 g of compound AB2C3. If
the atomic mass A and C are 60 and 80 amu,
respectively, the atomic mass of B is
(Avogadro no. = 6 × 1023) :
(1) 50 amu (2) 60 amu (3) 70 amu (4) 40 amu
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XI FOUNDATION REVISION - TEST-1 (PCM ) [ 5 ]
30. To neutralise completely 20 mL of 0.1 M aqueous
solution of phosphorous acid (H3PO3), the value
of 0.1 M aqueous KOH solution required is :
(1) 40 mL (2) 20 mL
(3) 10 mL (4) 60 mL
31. The orbital angular momentum for an electron
revolving in an orbit is given by h
( 1).2
l l . This
momentum for an s-electron will be given by :
(1) zero (2)h
2
(3)h
2 ·2
(4)1 h
·2 2
32. If the shortest wavelength in Lyman series of
hydrogen atom is A, then the longest wavelength
in Paschen series of He+ is :
(1)5A
9(2)
9A
5
(3)36A
5(4)
36A
7
33. Energy of an electron is given by
218
2
ZE 2.178 10 J
n
.
Wavelength of light required to excite an electron
in an hydrogen atom from level n = 1 to n = 2 will
be :
(h = 6.62 × 10–34 Js and c = 3.0 × 108 ms–1)
(1) 1.214 × 10–7 m (2) 2.816 × 10–7 m
(3) 6.500 × 10–7 m (4) 8.500 × 10–7 m
34. If the radius of first orbit of H atom is a0, the
de-Broglie wavelength of an electron in the third
orbit is :
(1) 4a0 (2) 8a0
(3) 6a0 (4) 2a0
35. Which of the following sets of quantum numbers
is correct for an electron in 4f orbital ?
(1) n = 4, l = 3, m = +1, s = +½
(2) n = 4, l = 4, m = –4, s = –½
(3) n = 4, l = 3, m = +4, s = +½
(4) n = 3, l = 2, m = –2, s = +½
36. Similarity in chemical properties of the atoms
of elements in a group of the Periodic table is
most closely related to :
(1) atomic numbers
(2) atomic masses
(3) number of principal energy levels
(4) number of valence electrons
37. Consider the following ionization enthalpies of
two elements ‘A’ and ‘B’.
Element
1st 2nd 3rd
A 899 1757 14847
B 737 1450 7731
Ionization enthalpy (kJ/mol)
Which of the following statements is correct ?
(1) Both ‘A’ and ‘B’ belong to group–1 where ‘B’
comes below ‘A’.
(2) Both ‘A’ and ‘B’ belong to group–1 where ‘A’
comes below ‘B’.
(3) Both ‘A’ and ‘B’ belong to group–2 where ‘B’
comes below ‘A’.
(4) Both ‘A’ and ‘B’ belong to group–2 where ‘A’
comes below ‘B’.
38. In the long form of the periodic table, the valence
shell e lectronic configuration of 5s25p4
corresponds to the element present in :
(1) Group 16 and period 6
(2) Group 17 and period 6
(3) Group 16 and period 5
(4) Group 17 and period 5
39. Which of the following series correctly
represents relations between the elements from
X to Y ? XY
(1) 3Li 19K Ionization enthalpy increases
(2) 9F 35Br Electron gain enthalpy (negative
sign) increases
(3) 6C 32Ge Atomic radii increases
(4) 18Ar 54Xe Noble character increases
40. Among Al2O3, SiO2, P2O3 and SO2 the correct
order of acid strength is :
(1) Al2O3 < SiO2 < SO2 < P2O3
(2) SiO2 < SO2 < Al2O3 < P2O3
(3) SO2 < P2O3 < SiO2 < Al2O3
(4) Al2O3 < SiO2 < P2O3 < SO2
41. Amongst LiCl, RbCl, BeCl2 and MgCl2 the
compounds with the greatest and the least ionic
character, respectively are :
(1) LiCl and RbCl
(2) RbCl and BeCl2
(3) MgCl2 and BeCl2
(4) RbCl and MgCl2
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XI FOUNDATION REVISION - TEST-1 (PCM ) [ 6 ]
42. Which one of the following pairs of species have
the same bond order ?
(1) CN– and NO+ (2) CN– and CN+
(3) –2O and CN– (4) NO+ and CN+
43. Which one of the following molecules is polar ?
(1) XeF4 (2) IF5
(3) SbF5 (4) CF4
44. The group having triangular planar structure is :
(1) 23 3 3BF , NF , CO (2) 2
3 3 3CO , NO , SO
(3) 23 3 3NH , SO , CO (4) NCl3, BCl3, SO3
45. The group of molecules having identical shape
is :
(1) PCl5, IF5, XeO2F2 (2) BF3, PCl3, XeO3
(3) SF4, XeF4, CCl4 (4) ClF3, XeOF2, XeF3+
Q. No. 46 to 50 Integer Type Questions
46. Total number of lone pair of electrons in 3I ion
is ________ .
47. In the molecular orbital diagram for the
molecular ion, 2N , the number of electrons in
the 2p molecular orbital is ________ .
48. Dissolving 120 g of a compound of (mol. wt. 60)
in 1000 g of water gave a solution of density 1.12
g/mL. The molarity of the solution is ___ .
49. Experimentally it was found that a metal oxide
has formula M0.98O. Metal M, present as M2+
and M3+ in its oxide. Fraction of the metal which
exists as M3+ would be _______ .
50. In an atom, how many orbitals will have the
quantum numbers; n = 3 and l = 2 ?
51. If 1
Q x : x , y Ny
, then :
(1) 1 Q (2) 0 Q
(3) 2 Q (4) none of these
52. Define Na = {an : n N}, then N3 N5 is equal to :
(1) N15 (2) N5
(3) N10 (4) none of these
53. The domain of the function 2
log(x 5)f(x)
x 4x 3
is :
(1) (–, –1) (2) [–3, –1]
(3) R – [–3, –1] (4) (–5, ) – {–3, –1}
54. For non-empty sets A and B, if A B, then
(A × B) (B × A) equals :
(1) A B (2) A × A
(3) B × B (4) none of these
55. The quotient of the identity function by the
reciprocal function is given by
(1) x2 x R (set of real numbers)
(2) 2
1x R {0}
x
(3) x2 x R – {0}
(4) None of these
56. If sets A and B are defined as
4A {(x, y)|y
x , 0 x R
B = {(x, y)|y = x, x > 0, x R}, then :
(1) A B (2) A B =
(3) A B = A (4) none of these
57. The most general value of satisfying the
equations sin = sin and cos = cos is :
(1) 2n + (2) 2n – (3) n + (4) n –
58. In ABC, if a b c
s2
, then
2 2C Bbcos ccos
2 2
is equal to :
(1) s (2) 2s (3) 3s (4) 4s
59. Consider the set of all determinants of order 3
with entries 0 and 1 only. Let B be the subset of
A consisting of all determinants with value 1.
Let C be the subset of the set of all determinants
with value –1 then :
(1) C =
(2) A = B C
(3) B has as many elements as C
(4) none of these
60. The solution of the equation sin m + sin n = 0
is :
(1)(2K 1)
, K Zm n
(2)2K
, K Zm n
(3) both (1) and (2) are true
(4) none of these
61. If F is function such that F(0) = 2, F(1) = 3,
F(x + 2) = 2F(x) – F(x + 1) for x 0, then F(5) is
equal to :
(1) –7 (2) –3 (3) 17 (4) 13
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B-58, BUDDHA COLONY, PATNA - 800 001 , Mob.: 9334594165 / 66 / 67
XI FOUNDATION REVISION - TEST-1 (PCM ) [ 7 ]
62. Which of the following is an empty set ?
(1) {x|x is a real numbr and x2 – 1 = 0}
(2) {x|x is a real number and x2 + 3 = 0}
(3) {x|x is a real number and x2 – 9 = 0}
(4) {x|x is a real number and x2 = x + 2}
63. Let Z denote the set of all integers and
A = {(a, b) : a2 + 3b2 = 28, a, b Z} and
B = {(a, b) : a > b, a, b Z}.
Then the number of elements in A B is :
(1) 2 (2) 3 (3) 4 (4) 6
64. Let A = {–1, 0, 1, 2}, B = {–4, –2, 0, 2} and f,
g : A B be the functions defined by f(x) = x2 – x
and 1
g(x) 2 x 12
. Then
(1) f = g (2) f = 2g
(3) g = 2f (4) none of these
65. In the figure, ABC is a triangle in which
C = 90° and AB = 5 cm. D is a point on AB such
that AD = 3 cm and ACD = 60°. Then the length
of AC is :
60°
C
A BD3 cm
5 cm
(1)3
5 cm7
(2)7
cm3
(3)3
cm7
(4) none of these
66. If f : R R satisfies f(x + y) = f(x) + f(y) x, y R
and f(1) = 7, then n
r 1
f(r)
(1)n(n 1)
2
(2)
7n(n 1)
2
(3) 7n(n + 1) (4) none of these
67. The domain and range of the relation R given by
R = {(x, y) : 6
y xx
; where x, y N and x < 6} is
:
(1) {1, 2, 3}, {7, 5} (2) {1, 2}, {7}
(3) {1, 3}, {5} (4) none of these
68. Let a
tana 1
and
1tan
2a 1
, then +
is :
(1)4
(2)
4
(3)
2
(4)
69. When varies over the real numbers, the
maximum value of cos – cos 2 is :
(1) 2 (2)7
8(3)
9
8(4) 0
70. A function f satisfies the relation f(n2) = f(n) + 6 for
n 2 and f(2) = 8. Then the value of f(256) is
(1) 24 (2) 26 (3) 22 (4) 28
Q. No. 71 to 75 Integer Type Questions
71. If n(A) = 3 and B = {3, 4, 5}, then n(A × B) =
72. The value of
tan 3x tan 2x tan x – tan 3x + tan 2x + tan x =
73. If f(x) = x3 – 1, then find [f(3) f(2)]
11
_____ .
74. The number of solutions of sin x = sin2x between
2
and
2
is _____ .
75. If f(x) = 2x2 + bx + c and f(0) = 3 and f(2) = 1, then
f(1) is equal to ______ .
If you find any probable mistake in the Question, you can send a mail at:
whatsapp/ message on 7564901784
with following details:
Date of Test, Name, Roll No., Contact No. and Explanation of the mistake.
Note: All the request will be accepted till
Tomorrow 05 PM.
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XI FOUNDATION REVISION - TEST-1 (PCM ) [ 8 ]
Space for Rough Work
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XI FOUNDATION REVISION - TEST-1 (PCM ) [ 9 ]
Space for Rough Work
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XI FOUNDATION REVISION - TEST-1 (PCM ) [ 10 ]
Space for Rough Work
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XI FOUNDATION REVISION - TEST-1 (PCM ) [ 11 ]
01.
02.
03.
04.
05.
06.
07.
08.
09.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
(1)
(4)
(3)
(3)
(2)
(3)
(1)
(3)
(2)
(2)
(4)
(1)
(1)
(3)
(1)
(4)
(3)
(2)
(3)
(3)
1
8
6
3
8
(1)
(4)
(3)
(1)
(1)
(1)
(4)
(1)
(3)
(1)
(1)
(3)
(3)
(3)
(4)
(2)
(1)
(2)
(2)
(4)
9
1
2
4
5
(1)
(1)
(4)
(2)
(3)
(1)
(3)
(1)
(3)
(3)
(4)
(2)
(4)
(1)
(1)
(2)
(1)
(1)
(3)
(2)
9
0
3
3
0
XI - Foundation Revision Test -1st
PCM - 16.03.19
01.
02.
03.
04.
05.
06.
07.
08.
09.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
(1)
(4)
(3)
(3)
(2)
(3)
(1)
(3)
(2)
(2)
(4)
(1)
(1)
(3)
(1)
(4)
(3)
(2)
(3)
(3)
1
8
6
3
8
(1)
(4)
(3)
(1)
(1)
(1)
(4)
(1)
(3)
(1)
(1)
(3)
(3)
(3)
(4)
(2)
(1)
(2)
(2)
(4)
9
1
2
4
5
(1)
(1)
(4)
(2)
(3)
(1)
(3)
(1)
(3)
(3)
(4)
(2)
(4)
(1)
(1)
(2)
(1)
(1)
(3)
(2)
9
0
3
3
0
XI - Foundation Revision Test -1st
PCM - 16.03.19