CHAMPIONS ACADEMY www.championsacademy.in CHAMPIONS FST Full Syllabus Test This booklet is your question paper. Answers have to be marked on the provided OMR sheets. This question paper contains questions 75 . Blank sheets are provided for rough work along with the question paper. Log tables, slide rule, Calculators, Cellular phones and other Electronic devices in any form are NOT allowed in the examination hall. If a student is caught copying, he/she will not be allowed to write the exam. On the OMR sheet, write in ink your name, and name of the centre and put your signature in the space provided. Use only blue/black ball point pen to fill the circles. X BATCHES II Roll No. CHAMPIONS TEST SERI E S Time: 3 Hrs Total Marks : 300 FST | PCM - 16 JEE Main
Transcript
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CHAMPIONS ACADEMYwww.championsacademy.in
CHA M PIONS
FSTFull Syllabus Test
This booklet is your question paper. Answers have to be marked on the provided OMR sheets.
This question paper contains questions75 .
Blank sheets are provided for rough work along with the question paper.
Log tables, slide rule, Calculators, Cellular phones and other Electronic devices in any form
are NOT allowed in the examination hall.
If a student is caught copying, he/she will not be allowed to write the exam.
On the OMR sheet, write in ink your name, and name of the centre and put your signature
in the space provided.
Use only blue/black ball point pen to fill the circles.
X BATCHESII
Roll No.
CH
AM
PIO
NS
TE
ST S
ER
IES
Time: 3 HrsTotal Marks : 300
FST | PCM - 16
JEE Main
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CHA M PIONS
PHYSICSSECTION - I (Total Marks: 80)Single Correct Answer Type
4 Marks for correct answer and –1 for wrong answer. This section contains 20 multiple choice
questions, Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct
Q.1 A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. The magnitude
of the angular momentum of the projectile about the point of projection when the particle is at its maximum
height h is
(A) Zero (B) 3mv
4 2g(C)
3mv
2g(D)
3mv
5 2g
Q.2 Which of the following statements is correct?
(A) Both sound and light waves in air are longitudinal
(B) Both sound and light waves in air are transverse
(C) Sound waves in air are transverse while light waves are longitudinal
(D) Sound wave in air are longitudinal while light waves are transverse.
Q.3 The maximum acceleration of a particle in S.H.M in 0a and its maximum velocity is v0.Then amplitude is given by
(A) 20
0
va (B) 0 0a v (C)
20
0
av (D)
0 0
1a v
Q.4 A hollow metallic tube of length L and closed at one end produces resonance with tuning fork of frequency
n. The entire tube is then heated carefully, so that at equilibrium temperature, its length by . If the change
in velocity V of sound is v, the resonance will now be produced by a tuning fork whose frequency is:
(A) V v
4 L
(B) V v
4 L
(C) V v
4 L
(D) V v
4 L
Q.5 Let the angle between two nonzero vectors A and B
be 120 and its resultant be C
(A) C must be equal to A B (B) C must be less than A B
(C) C must be greater than A B (D) C may be eqal to A B
Q.6 If an electron enters into a space between the plates of a parallel plate capacitor at an angle with the
plates and leaves at an angle to the plates, the ratio of it’s kinetic energy while entering the capacitor to
that leaving will be
(A) 2
coscos
(B)
2coscos
(C) 2
sinsin
(D) 2
sinsin
Q.7 Moment of inertia of a circular wire of mass M and radius R about its diameter is
(A) 2MR
2(B) MR2 (C) 2MR2 (D)
2MR4
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CHA M PIONS
Q.8 Two points P and Q lie on either side of an axis XY as shown. It is desired to produce an image of p at Q
using a spherical mirror, with XY as the optic axis. The mirror must be
(A) Converging and positioned to the left of P. X Y
P
Q
(B) diverging and positioned to the left of P.
(C) converging and positioned between P and Q.
(D) diverging and positioned to the right of Q.
Q.9 We use flint glass prism to disperse polychromatic light because light of different colours
(A) travel with same speed
(B) travel with same speed but deviate differently due to the shape of the prism
(C) have same anisotropic properties while travelling through the prism
(D) travel with different speeds through the prism.
Q.10 A proton, a deuteron and an -particle having the same kinetic energy are moving in circular trajectories
in a constant transverse magnetic field. If rp, rd and ra denote respectively the radii of the trajectories of
these particles then
(A) ra = rp < rd (B) ra > rd > rp (C) ra = rd > rp (D) rp = rd = ra
Q.11 An electron moving in a circular orbit of radius r makes n rotations per second. The magnetic field produced
at the centre has magnitude.
(A) Zero (B) 0ne2 r
(C) 0ne2r
(D)
20n e2r
Q.12 ‘n’ identical light bulbs, each designed to draw P power from a certain voltage supply are joined in seriesand that combination is connected across that supply. The power consumed by one bulb in the combinationwill be(A) nP (B) P (C) P/n (D) p/n2
Q.13 Monoatomic, diatomic and triatomic gases whose initial volume and pressure are same, are compressed
till their volume becomes half the initial volume.
(A) If the compression is adiabatic then monoatomic gas will have maximum final pressure.
(B) If the compression is adiabatic then triatomic gas will have maximum final pressure.
(C) If the compression is adiabatic then their final pressure will be same.
(D) If the compression is isothermal then their final pressure will be different.
Q.14 During an experiment an ideal gas obeys an additional equation of state P2V = constant. The initial
temperature and volume of gas are T and V respectively. When it expands to volume 2V, then its temperature
will be :
(A) T (B) 2T (C) 2T (D) 2 2T
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Q.15 If two soap bubbles of different radii are connected by a tube,
(A) air flows from the bigger bubble to the smaller bubble till the sizes become equal
(B) air flows from bigger bubble to the smaller bubble till the sizes are interchanged
(C) air flows from the smaller bubble to the bigger
(D) there is no flow of air.
Q.16 Two particles are executing S.H.M in a straight line. Amplitude A and time period T of both particles areequal. At time t = 0, one particle is at displacement x1 = +A and the other at x2 = A/2 and they are
approaching towards each other. After what minimum time they crooss each other?
(A) T/12 (B) T/4 (C) T/3 (D) 5T/6
Q.17 What is the displacement of a particle, executing SHM of period 3s, at 0.5s after it crosses the mean
position?
(A) 1
amplitude2 (B)
1amplitude
4 (C)
3amplitude
2 (D)
2amplitude
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Q.18 A person standing at a distance of 6 m from a source of sound receives sound wave in two ways, one
directly from the source and other after reflection from a rigid boundary as shown in the figure. The
maximum wavelength for which, the person will receive maximum sound intensity is
(Take person’s ear as pressure detector)
(A) 4 m
(B) 16
m3
(C) 2m
(D) 8
m3
Q.19 Two tuning forks A & B produce notes of frequencies 256 Hz & 262 Hz respectively. An unknown note
sounded at the same time as A produces beats. When the same noteis sounded with B, beat frequency
is twice as large. The unknown frequency could be:
(A) 268 Hz (B) 260 Hz (C) 250 Hz (D) 242 Hz
Q.20 A system of two identical rods (L-shaped) of mass m and length 2 are resting on a peg P as shown
in the figure. If the system is displaced in its plane by a small angle , find the period of oscillations:
(A) 2l2
3g (B) 2 2l
23g
P
(C) 2l
23g
(D) l
33g
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SECTION - II (Total Marks: 20)Integer Answer Type
4 Marks for correct answer and zero marks for wrong answer.This section contains 5 questions.
Q.21 The resultant of two forces of magnitudes 8N and 15N is 17 N. The angle between the forces
of 8 N and 15 N is
Q.22 A parallel plate capacitor of capacity 5 F and plate separation 6cm is connected to a 1V battery and is
charged. A dielectric of dielectric constant 4 and thickness 4 cm is introduced into the capacitor.
The additional charge that flows to the capacitor from the battery is C
Q.23 A 2100 W continuous flow geyser (instant geyser) has water inlet temperature is 10°C, while the water
flows out at the rate of 20 g/sec. The outlet temperature of water must be about
Q.24 What is the radius of a steel sphere that will float on water with exactly half the sphere submerged ?
Density of steel is 7.9 g/cc and surface tension of water is 27 10 N / m
Q.25 The magnetic needle of an oscillation magnetometer, executes 45 oscillations per minute at a
place where the dip is o37 . The oscillation frequency at a place where the dip is o60 will be. :
(the ratio of the magnetic fields at the two places is 405 : 512)
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CHEMISTRYSECTION - I (Total Marks: 80)Single Correct Answer Type
4 Marks for correct answer and –1 for wrong answer. This section contains 20 multiple choice
questions, Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct
Q.26 If a is the initial concentration of the reactant and (a-x) is the concentration at time t for the first-order
reaction (rate constant k1), then:
I. 1k tx a 1 e II. y
50
1 ta x a where y
2 T
III. 1 10
2.303 ak log
t a x
(A) I, II (B) II, III (C) I, III (C) I, II, III
Q.27 Wave number of spectral line for a given transition is x cm -1 for He+, then its value for Be3+
(isoelectronic of He+) for same transition is:
(A) x cm-1 (B) 4x cm-1 (C) 1xcm
4 (D) 2x cm-1
Q.28 NH3 gas is liquefied more easily than N2. Hence:
(A) van der Wall’s constants a and b of NH3> that of N2
(B) van der Wall’s constants a and b of NH3< that of N2
(C) 3 2 3 2a NH a N but b NH b N
(D) a(NH3) < a(N2) but a(NH3) > a(N2)
Q.29 A solution is a mixture of 0.05 M NaCl and 0.05 M NaI. The concentration of iodide in the solution
when AgCl just starts precipitating is equal to:
10 2 16 2sp spK AgCl 1 10 M ; K AgI 4 10 M
(A) 64 10 M (B) 82 10 M (C) 72 10 M (D) 158 10 M
Q.30 Equivalent conductance of BaCl2, H2SO4 and HCl are x1, x2, and x3 S cm2 equiv-1 at infinite dilution.
If specific conductance of saturated BaSO4 solution is of y S cm-1, then Ksp of BaSO4 is:
(A) 3
1 2 3
10 y2 x x 2x (B)
6 2
2
1 2 3
10 y
x x 2x (C)
6 2
2
1 2 3
10 y
4 x x 2x (D) 1 2 3
6 2
x x 2x10 y
Q.31 In the following isotherm:
(A) x
pm
when point A is reached
(B) desorption may start along AB
(C) 1/nxp
m along OA
(D) All the above
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Q.32 A solid has a structure in which W atoms are located at the cube corners of the unit cell, O atoms are
located at the cubes edges and the Na atoms at the cube centres. Lattice is of the type with formula:
(A) Simple cubic, NaWO3 (B) Simple cubic Na2WO3
(C) tetrahedral, NaWO3 (D) body-centred, NaWO3
Q.33 Match the list I (complex ions) with list II (number of unpaired electrons) and
select the correct answer:
LIST I LIST II A. 46CrF
1. One
B. 46MnF 2. Two
C. 46Cr CH 3. Three
D. 46Mn CN 4. Four
5. Five A B C D
(A) 4 1 2 5
(B) 2 5 3 1
(C) 4 5 2 1
(D) 2 1 3 5
Q.34 Correct order of dipole moment is:
(I) NO2
OH
(II) Cl
Cl
(III) CH3
CH3
(A) I = II = III (B) I < II < III (C) I > II > III (D) II < III < I
Q.35 Among the following species, identify the isostructural pairs:
3 3 3 3 3NF , NO , BF , H O , HN
(A) 3 3 3 3NF , NO and BF , H O (B) 3 3 3 3NF , HN and NO , BF (C) 3 3 3 3NF , H O and NO , BF (D) 3 3 3 3NF , H O and HN , BF
Q.36 Indicate the alkyl halides out of the following which can undergogo SN1 reaction:
(A) Cl (B) CH3
H
CH2CH3
Br (C) CH2 CHCl (D) CH2 CHCH2Cl
Q.37 Which of the following Newman projection formulae correctly represents a meso structure?
