SAMPLE PAPER
+1 Moving to +2 (Non Medical)
INSTRUCTIONS :
1.
This paper contains 45 questions divided in 3 Sections. 3 marks will be awarded for correct answer
and –1 for wrong answer.
Section A : Physics (Q.1 to 15)
Section B : Chemistry (Q. 16 to 30)
Section C : Mathematics (Q. 31 to 45)
2.
Sample paper is designed in a way to give a fair idea to a student about the pattern of paper and the type
of questions which will be asked in the actual test.
3.
Number of questions, total marks, difficulty level of questions and time allotted for the paper might vary
in the actual test.
4.
Child may use this sample paper as a practice paper to get accustomed to the pattern of actual test.
SECTION – A
PHYSICS
1.
Two blocks of masses 7 kg and 3 kg are
3.
connected by a spring of stiffness
1000 Nm–1 and placed on a smooth
horizontal surface. They are acted by
horizontal forces of 72 N and 32 N in
opposite directions as shown in the fig.
When accelerations of the blocks are
equal and constant, the extension of the
4.
spring is
32 N
72 N
(a) 6 kgs–1
(b) 60 kgs–1
(c) 600 kgs–1
(d) 6000 kgs–1
The surface energy of a liquid drop of
radius r is proportional to
(a) r3
(b) r2
(c) r
(d)
3 kg
7 kg
2.
A 6000 kg rocket is set for vertical
firing. If the exhaust speed is
1000 ms–1, the gas ejected per second to
supply the thrust needed to overcome
the weight of the rocket is
[Take g = 10 ms–2]
(a) 4 cm
(b) 5 cm
(c) 6 cm
(d) 8 cm
5.
1
r
A bullet moving with a velocity of 800
A vertical column 50 cm long at 50ºC
balances another column of same liquid
60 cm long at 100ºC. The coefficient of
volume expansion of the liquid is
ms–1 passes through two plates of widths
(a) 0.004/ºC
(b) 0.0004/ºC
(c) 0.002/ºC
(d) 0.0002/ºC
d1 and d2. In passing through each of
them, it loses a velocity of 200 ms–1. If
both the plates offer same resistance
to the motion of bullet, then the ratio
d1/d2 is
(a)
(c)
7
5
(b)
4
3
(d)
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5
7
3
4
6.
A sphere of radius R, density r and
specific heat s is heated to temperature
q and then cooled in an enclosure at
temperature q 0 . Its rate of fall of
temperature will be proportional to
(a) Rrs
(c)
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R
rs
(b)
1
Rrs
(d)
rs
R
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7.
8.
An oxygen cylinder of volume 30 litres
has an initial gauge pressure of 15 atm
and a temperature of 27ºC. After some
oxygen is withdrawn from the cylinder,
the pressure drops to 11 atm and its
temperature drops to 17ºC. Estimate
the mass of oxygen taken out of the
cylinder (R = 8.3 J mole–1 K–1, Molecular
mass of O2 = 32)
(a) 131 g
(b) 141 g
(c) 153 g
(d) 164 g
9.
Which of the following graphs correctly
represents
the
variation
of
b = – (dV/dP)/V with P for an ideal gas
at constant temperature ?
b
b
(a)
(b)
P
P
A fixed mass of ideal gas undergoes
changes of pressure volume starting at
L, as shown in figure.
b
b
(c)
(d)
P
P
10.
A simple pendulum of length l and
having a bob of mass m is suspended in
a car. The car is moving on a circular
track of radius R with a uniform speed
Which graph shows how temperature
(measured in Kelvin) changes with
volume ?
v. If the pendulum makes small
oscillations in radial direction about its
equilibrium position, what will be its
time period
(a)
l
(a) 2p
1
æ 2 v4 ö 2
çç g + 2 ÷÷
R ø
è
(b)
(b) 2p
(c)
(c) 2p
(d)
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(d) 2p
l
æ
v2 ö
çç g +
÷
R ÷ø
è
l
1/2
æ 2 v4 ö
çç g - 2 ÷÷
R ø
è
l
g
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11.
12.
A whistle string of frequency 1000 Hz
is sounded on a car travelling towards
a cliff with a velocity of 18m s–1 normal
to the cliff. If c = 330 ms–1, then the
apparent frequency of the echo as heard
by the car driver is nearly
(a) 1115 Hz
(b) 115 Hz
(c) 67 Hz
(d) 47.2 Hz
Two spheres are placed as shown and a
forces are applied as indicated. What
will happen ? Assume the surface to be
rough & spheres to be smooth.
5g
in the left direction
13
(b)
4g
in the left direction
5
(c)
g
in the left direction
5
(d) None of these
14.
M1 R
F
R
4
(a)
A particle of mas m is placed at A on a
horizontal rotating platform having a
smooth groove. Find the reaction force
applied by groove on particle when it
reaches B. Angular velocity of platform
is constant = w
F
y
(a) Forward for the first sphere and
backward for the second sphere
Horizontal plane
(b) Backward for the first sphere and
forward for the second sphere
(a) mg
(c) Forward for both the spheres
(b)
(d) Backward for both the spheres
(c) zero
A scale has a mass ‘m’ and a length ‘L’.
One end of the scale is resting on a
smooth surface of a wedge and the other
end against a smooth vertical wall. The
scale makes an angle 45º with the
horizontal. The wedge has also the
same mass ‘m’. The wedge in turn is
resting on a smooth horizontal surface.
The angle of the wedge is 45º. Calculate
the acceleration of the wedge
m
B
x
The direction of the friction is :
13.
A
O
High Friction
(d)
15.
(mg)2 + 4m2 w4 (y 2 - x 2 )
(mg)2 + m2 w4 2(y 2 - x 2 )
In a projectile motion, what should be
the minimum initial angle of projection
such that the distance of the particle
from projection point always increases
in one time of flight
m
q
-1
(a) q < sin
(c) q < 60º
2 2
3
-1
(b) q < sin
3
4
(d) None of these
m
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SECTION–B
CHEMISTRY
16.
One commercial system removes SO2
emission from smoke at 95ºC by
following set of reactions :
20.
At
moderate
gas is given by :
SO2Cl2 + H2O ® H2SO4 + HCl
Z = 1 + 0.34p –
H2SO4 + Ca(OH)2 ® CaSO4 + H2O
kelvin)
Assuming the process to be 95%
efficient, how many grams of CaSO4
may be produced from 100 g of SO2 ?
18.
What is the Boyle’s temperature of this
gas ?
(b) 83 g
(a) 298 K
(b) 340 K
(c) 202 g
(d) 252 g
(c) 470 K
(d) 680 K
49
r
(a)
10x
49x
(b)
10r
10x
r
(c)
49
10r
(d)
49x
21.
The first I.E. of Na, Mg, Al and Si are in
the order :
(a) Na < Mg < Al < Si
(b) Na < Al < Mg < Si
(c) Na < Al < Si < Mg
(d) Na > Mg > Al > Si
22.
When iodine is dissolved in aqueous
potassium iodide, the shape of the
Consider the following reaction :
species formed is :
Cl- (aq) + CrO24- (aq) + H2O(l) ¾¾®
(a) linear
(b) angular
(c) triangular
(d) see-saw
Cl2(g) + Cr(OH)3 (s) + OH–(aq)
If chloride (Cl–) is being consumed at
0.276 mol L–1 s–1, how fast is hydroxide
(OH–) produced ?
23.
(b) 0.046 mol L–1 s–1
hybridisation of the central atom ?
24.
(c) 0.092 mol L–1 s–1
(a) sp2
(b) sp3
(c) sp3d
(d) sp3d2
Under what conditions will a reaction
that isn’t spontaneous at room
(d) 0.465 mol L–1 s–1
temperature become spontaneous as
Gases tend to show marked deviation
from real gas behaviour at
(a) high temperature and high pressure
(b) low temperature and low pressure
(c) high temperature and low pressure
(d) low temperature and high pressure
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A hypothetical AB4 molecule has two
lone pairs of electrons on A. What is the
(a) 0.166 mol L–1 s–1
19.
160p
(p in bar and T in
T
(a) 49 g
A solution of sulphuric acid has density
r g/mL and it is x % H2SO4 by weight.
The normality of this solution is
the
compressibility factor for a particular
SO2 (g) + Cl2 (g) ® SO2Cl2 (g)
17.
pressures,
the temperature increases ?
(a) DHº = + and DSº = +
(b) DHº = + and DSº = –
(c) DHº = – and DSº = +
(d) DHº = – and DSº = –
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25.
Given the following reactions with their
respective DHºRXN ,
(c) ln K
(d) ln K
Reaction I : C(s) + 2H2 (g) ® CH4 (g)
DHºRXN = –74.9 kJ
Reaction II : C(s) + 2Cl2 ® CCl4 (l)
DHºRXN =
Reaction III :
28.
For the equilibrium
–139 kJ
SrCl2.6H2O(s) ƒ SrCl2.2H2O(s) + 4H2O(g) ;
the equilibrium constant Kp = 16 ×10–12
atm4 at 1ºC. If one litre of air saturated
with water vapour at 1ºC is exposed to
a large quantity of SrCl2.2H2O(s), what
weight of water vapour will be absorbed?
Saturated vapour pressure of water at
1ºC = 7.6 torr.
1
1
H2 (g) + Cl2 (g) ® HCl(g)
2
2
DHºRXN = –92.3 kJ
Calculate the DHºRXN for the following
reaction :
CH4 (g) + 4Cl2 (g) ¾¾® CCl4 (l) + 4HCl(g)
26.
(a) 433.3 kJ
(b) –433.3 kJ
(c) 217.5 kJ
(d) –217.5 kJ
29.
Heat absorbed by a system in going
through a cyclic process shown in figure
is :
(b) 3.25 g
(c) 2.3 mg
(d) 6.4 mg
N
N
H
A
H
N
N
H
H
B
V (in L)
30
P (in KPa)
N
H
C
(a) 107 p J
(b) 106 p J
(a) 218 nm
(b) 310 nm
(c) 102 p J
(d) 104 p J
(c) 425 nm
(d) 612 nm
Which ln K vs 1/T plot is correct for an
equilibrium that shifts toward reactants
at higher temperatures ?
(b) ln K
(a) ln K
N
Molecule A has the above configuration.
To make it have the configuration of
molecule C, the p bond in molecule A
must be broken thereby forming
molecule B where rotation around the
N to N single bond occurs. The p bond
then reforms giving you molecule C.
What is the wavelength of light, l (in
nm), required to initiate this process ?
10
27.
(a) 6 mg
Given the bond enthalpies N = N
(711 kJ/mol) and N – N (163 kJ/mol)
H
30
10
1/T
1/T
30.
A beam of specific kind of particles of
velocity 2.1 × 107 m/s is scattered by a
gold (Z = 79) nuclei. Find out specific
charge (charge/mass) of this particle if
the distance of closest approach is
2.5 × 10–14 m.
(a) 4.84 × 107 C/kg (b) 4.84 × 10–7 C/kg
(c) 2.42 × 107 C/kg (d) 3 × 10–12 C/kg
1/T
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1/T
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SECTION–C
MATHEMATICS
31.
For real q, value of sin2 q + cos4q lies in
35.
the interval :
2x2 – 2(2a + 1) x + a (a – 1) = 0
é3 ù
(b) ê ,1ú
ë4 û
(a) [1, 2]
é1 5 ù
(c) ê , ú
ë 4 16 û
has roots a and b satisfying the
condition a < a < b, are :
(d) none of these
36.
6
32.
33.
æ1 + i 3 ö
æ1 - i 3 ö
÷÷ + çç
÷÷
The value of çç
è1 - i 3 ø
è1 + i 3 ø
(a) 2
(b) – 2
(c) 1
(d) 0
If x > 0, and log2x + log2
+ log2
The values of a for which the equation
37.
2
equals :
38.
(d) 5
(d) none of these
Calculate the number of ways in which
(a) 10
(b) 4
(c) 6
(d) 7
The coefficient of x4 in the expansion
of (1 + x + x2 + x3)11 is
2
(c) 4
(c) (–¥, –3) È (0, ¥)
dices can be six.
is :
( 8 x ) + log (16 x ) + .... = 4 then x
(b) 3
(b) (0, ¥)
the sum of upper faces of four distinct
6
( x ) + log ( 4 x )
(a) 2
(a) (–3, 0)
(a) 990
(b) 605
(c) 810
(d) none of these
A and B play a game where each is
asked to select a number from 1 to 25.
If the two numbers match, both of them
win a prize. The probability that they
will not win a prize in a single trial, is
34.
Number of solutions for x –2–2 [x]=0,
2
(where [.] denotes greatest integer
function) is
(a) zero
(b) one
(c) two
(d) infinite
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(a)
1
25
(b)
(c)
2
25
(d) none of these
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25
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39.
The value of cos
2p
4p
6p
+ cos
+ cos
is:
7
7
7
(a) a circle whose radius is less than
2a
3
(b) a circle whose radius is greater
(a) 1
(c)
40.
(b) –1
1
2
(d) -
than
1
2
(c) a circle whose radius is equal to
2a
3
(d) None of the above
Let d (P, OA) £ min {d (P, AB), d (P, BC), d
(P, OC)} where d denotes the distance
2a
3
43.
from the point to the corresponding line
Normal AO, AA 1, AA 2 are drawn to
parabola y2 = 8x from the point A (h, 0).
and S be the region consisting of all
If triangle OA1A2 is equilateral, then
those points P inside the rectangle
possible values of ‘h’ is
OABC such that O = (0, 0), A = (3, 0),
B = (3, 2) and C = (0, 2), which satisfy
the above relation, then area of the
region S is
41.
(a) 2 sq unit
(b) 3 sq unit
(c) 4 sq unit
(d) None of these
44.
(a) 26
(b) 24
(c) 28
(d) None of these
Length of major axis of ellipse is three
times the length of minor axis, then
eccentricity is
Let ABC be a triangle, two of whose
(a)
vertices are (15, 0) and (0, 10). If the
1
3
(b)
1
3
orthocentre is (6, 9), then the third
vertex is
(c)
(a) (15, 10)
(b) (10, – 15)
(c) (0, 0)
(d) None of these
45.
42.
Consider the circle x2 + y2 = a2. Let A
(a, 0) and D be a given interior point of
1
(d)
2
The roots of the equation
(x – a) (x – b) = abx2 are always
(a) real
the circle. If BC be an arbitrary chord of
(b) imaginary
the circle through point D, then the
(c) can’t be discussed
locus of the centroid of D ABC is
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2 2
3
(d) none of these
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ANSWER KEY
PHYSICS
1. (c)
2. (a)
3. (b)
4. (b)
5. (a)
6. (b)
7. (b)
8. (b)
9. (a)
10. (a)
11. (a)
12. (d)
13. (a)
14. (b)
15. (a)
CHEMISTRY
16. (c)
17. (c)
18. (d)
19. (d)
20. (c)
21. (b)
22. (a)
23. (d)
24. (a)
25. (b)
26. (c)
27. (c)
28. (d)
29. (a)
30. (a)
MATHEMATICS
31. (b)
32. (a)
33. (c)
34. (b)
35. (c)
36. (a)
37. (a)
38. (b)
39. (d)
40. (a)
41. (d)
42. (a)
43. (c)
44. (d)
45. (a)
Dream on !!
š›œ•š›œ•
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