JIT ENTRANCE TEST 2020
JIT is one of the best developing Engineering Colleges of Davanagere.
Our Vision is “Technical manpower development to build professionally excellent, globally competitive, socially responsible engineers and entrepreneurs with human values”.
The college has excellent infrastructural facilities that include spacious class rooms, tutorial rooms, well equipped laboratories, workshops, drawing halls, seminar halls, digital library, staff rooms, computer center, browsing centre, girls common room, boys common room, Eshikshana room, canteen, transportation and reprographic facility to the students. Along with these, we have well experienced and dedicated faculty, a strong students mentorship program, strong students counselling system in which each student will be attended individually with special care in academics and other cocurricular activities by faculty of JIT.
Jain Institute of Technology, Davanagere is conducting entrance test for PUC students on every Saturday till July 31st of 2020 and offering attractive scholarship for meritorious students.
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1. .The conductivity of semiconductor increases with increase in temperature because
*
number density of charge carriers increases
relaxation time increases
both number density of charge carriers and relaxation time increase
number density of current carriers increases, relaxation time decreases but effect of decrease in relaxation time is much less than increase in number density
2. For a transistor amplifier, the voltage gain
*
remains constant for all frequencies
is high at high and low frequencies and constant in the middle frequency range
is low at high and low frequencies and constant at mid frequencies
constant at high frequencies and low at low frequencies
3. An antenna uses electromagnetic waves of frequency 5 MHz. For proper working, the size of the antenna should be
*
15 m
300 m
15 km
3 km
4. A magnetic needle has a magnetic moment of 5 x 10^2Am^2 and moment of inertia 8*10^6 kgm^2. It has a period of oscillation of 2s in a magnetic field >B. The magnitude of magnetic field is approximately?
*
1.6 x 104 T
0.4 x 104 T
3.2 x 104 T
none of the above
5. A toroid has 500 turns per metre length. If it carries a current of 2 A, the magnetic energy density inside the toroid is
*
0.628 J/m^3
0.314 J/m^3
6.28 J/m^3
3.14 J/m^3
6. Consider the situation given in figure. The wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a semicircular wire, the magnitude of the induced current will
*
increase
remain same
decrease
increase or decrease depending on whether the semicircle bulges towards the resistance or away from it.
7. The frequency of an alternating current is 50 Hz. What is the minimum time taken by current to reach its peak value from rms value?
*
5 x 10^3 s
2.5 x 10^3 s
0.02s
10 x 10^3 s
8. The readings of ammeter and voltmeter in the following circuit are respectively
*
1.2 A, 120 V
1.5 A, 100 V
2.7 A, 220 V
2.2 A, 220 V
9. Two metal plates are separated by 2 cm. The potentials of the plates are 10 V and +30 V. The electric field between the two plates is
*
500 V/m
1000 V/m
2000 V/m
3000 V/m
10. Though the electron drift velocity is small and electron charge is very small, a conductor can carry an appreciably large current because
*
electron number density is very large
drift velocity of electron is very large
electron number density depends on temperature
relaxation time is small
11. capacitor of capacitance C charged by an amount Q is connected in parallel with an uncharged capacitor of capacitance 2C. The final charges on the capacitors are
*
Q/2,Q/2
Q/4,3Q/4
Q/3, 2AQ/3
none of these
12. Masses of three wires of copper are in the ratio 1 : 3 : 5 and their lengths are in the ratio 5 : 3 : 1. The ratio of their electrical resistance are
*
1 : 3 : 5
5 : 3 : 1
1 : 5 : 125
125 : 15 : 1
13. . f P, Q and R are physical quantities having different dimensions, which of the following combinations can never be a meaningful quantity?
*
(PQ)/R
(P+Q)/R
(2PQ)/3R
none of these
14. The trajectory of a projectile projected from origin is given by the equation y = x 2x2 / 5The initial velocity of the projectile is
*
50m/s
5 m/s
25m/s
75m/s
15. During inelastic collision between two objects, which of the following quantity always remains conserved?
*
Total kinetic energy
Total mechanical energy
Total linear momentum
Speed of each body
16. In Rutherford experiment, for headon collision of alphaparticles with a gold nucleus, the impact parameter is
*
zero
of the order of 10^ 14 m
of the order 10^ 10m
of the order of 10^ 6m
17. . Frequency of revolution of an electron revolving in nth orbit of Hatom is proportional to
*
1/n^2
1/n
1/2n
1/n^3
18. A hydrogen atom in ground state absorbs 10.2 eV of energy. The orbital angular momentum of the electron is increased by
*
1.05 x 10^ 34 Js
2.11 x 10^ 34Js
3.16 x 10^ 34Js
4.22 x 10^ 34 Js
19. The end product of decay of 90Th32 is 82Pb208. The number of alpha and beta particles emitted are respectively
*
3, 3
6, 4
6, 0
4, 6
20. Two protons are kept at a separation of 10nm. Let Fn and Fe be the nuclear force and the electromagnetic force between them
*
Fe = Fn
Fe>>Fn
Fe << Fn
Fe and Fn differ only slightly
21. Two particles which are initially at rest move towards each other under the action of their mutual attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass of the system is
*
2v
Zero
1.5v
v
22. A satellite is orbiting close to the earth and has a kinetic energy K. The minimum extra kinetic energy required by it just overcome the gravitation pull of the earth is
*
K
2k
K3
22 K
23. A wire is stretched such that its volume remains constant. The poission’s ratio of the material of the wire is
*
0.50
0.50
0.25
0.25
24.
*
K
K/4
4K
2K
25. Due to Doppler’s effect the shift in wavelength observed is 0.1Å for a star producing wavelength 6000 Å. Velocity of recession of the star will be
*
25 km/s
10 km/s
5 km/s
20 km/s
26. A wheel with 10 spokes each of length ‘L’ m is rotated with a uniform angular velocity 'w' in a plane normal to the magnetic field ‘B’. The emf induced between the axle and the rim of the wheel
*
NwBL^2
wbL^2
0.5wbL^2
2.5NwbL^2
27. . A nucleus of mass 20 u emits a g photon of energy 6MeV. If the emission assume to occur when nucleus is free and rest, then the nucleus will have kinetic energy nearest to (take 1 u = 1.6 ´10^ 27 kg)
*
100 KeV
0.1 KeV
1 KeV
10 KeV
28. When electron jumps from n = 4 level to n = 1 level, the angular momentum of electron changes by
*
4h/2π
3h/2π
2h/2π
2h/3π
29. The rms value of current in a 50 Hz AC circuit is 6A. The average value of AC current over a cycle is
*
1.35
zero
0.677
8.46
30. At certain place, the horizontal component of earth’s magnetic field is 3.0 G and the angle dip at that place is 30°. The magnetic field of earth at that location
*
6.0 G
3.5 G
5.1 G
4.5 G
31 If A={x∶x=4n+1 ,2≤n≤5}, then number of subsets of A is
*
8
15
4
16
32.
*
n^2
Option 2
n^2/(m^21)
m^2
33. An AP consists of 23 terms. If the sum of the three terms in the middle is 141 and the sum of last three terms is 261, then the first term is
*
6
5
4
3
34. If x=2+5i, then the value of the expression x^35x^2+33x49is equal to
*
20
10
20
29
35. If 8≤5x3<7, then x∈
*
(2,2)
(1,2)
(2,∞)
(2,0)
36. The number of signals that can be sent by 6 flags of different colors taking one or more at a time is
*
63
1956
720
21
37. The last four digits in the natural number 7^100 are
*
2731
1301
2511
0001
38. If the major axis of an ellipse is thrice the minor axis, then its eccentricity is equal to
*
1/3
1/√3
1/√2
2√2/3
39. The orthocenter of the triangle whose vertices are (5,2),(1,2)and (1,4) is
*
(1/5,14/5)
(14/5,1/5)
(1/5,1/5)
(14/5,14/5)
40. The distance of the point A(2,3,2) from the xaxis is
*
5
√13
2√5
5√2
41.
*
0
1
1
does not exist
42. The sentence “There are 35 days in a month” is
*
a statement
not a statement
may be statement or not
None of these
43. The image of the point (2,3) on the line x+3y+4=0 is
*
(1, 6)
(1, 6)
(1, 6)
(1, 6)
44.
*
[0, 1]
(0,1)
(1,∞)
(1,∞]
45. Total number of equivalence relations defined in the set S={a,b,c} is equal to
*
5
3!
23
33
46.
*
π
π/2
π/3
π/4
47.
*
2
4
3
5
48.
*
1/x
1/x
1/(x+1 )
1/(x1 )
49.
*
2I
3I
2I
Null Matrix
50. If A and B are symmetric matrices of the same order, then
*
AB is a symmetric matrix.
AB is a skewsymmetric matrix
AB+BA is a symmetric matrix.
ABBA is a symmetric matrix.
51.
*
(1)/11 ,2/11
(1)/11, (2)/11
1/11,2/11
1/( 11) , (2)/11
52. The number of commutative binary operations that can be defined on a set of 2 elements is
*
8
6
4
2
53. Find the area of triangle whose vertices are(2,6)(3,6) and (1,5).
*
30 Sq.units
35 Sq.units
40 Sq.units
15.5 Sq.units
54.
*
13/25
25/13
5/13
25/13
55. If the system of equations x+ayz=0, 2xy+az=0 and ax+y+2z=0, have nontrivial solutions, then a=
*
2
2
√3
√3
56.
*
6,6
6,6
−6, −6
6, 6
57.
*
1/2
1/4
2
3/2
58. The value of c in Mean value theorem for the function f(x) = x(x2) , x ∈ [1,2] is
*
3/2
2/3
1/2
5/2
59. The distance between the point (1,1) and the tangent to the curve y=e^2x + x^2 drawn at the point x=0 is
*
1/( √5)
(1)/√5
2/√5
(2)/√5
60.
*
an increasing function.
a decreasing function.
an even function.
None of these.
61. The position of the point in time ‘t’ is given by x=a+btct^2,y=at+bt^2. Its acceleration at time t is
*
bc
b+c
2b2c
2√(b^2+c^2 )
62.
*
0
1
1/(1x^2 )
1/(1+x^2 )
63.
*
1
1
( 4acb^2)/a^2
0
64.
*
y/x
x/y
1+ log(x/y)
(1+logx)/(1+logy )
65.
*
1/2
1/2
1
1
66.
*
Option 1
Option 2
Option 3
Option 4
67.
*
Option 1
Option 2
Option 3
None of these
68.
*
Option 1
Option 2
Option 3
Option 4 None of these
69.
*
e^x tan(x/2)+C
e^x cot(x/2)+C
1/2 e^x tan(x/2)+C
1/2 e^x cot(x/2)+C
70.
*
(e^2e^(1) )
1/3 (e^2e^(1) )
1/2 (e^2e^(1) )
None of these
71. Which salt can be used to identify coloured cations?
*
Borax
Microcosmic salt
Both (1) and (2)
None of these
72. If the nitrogen atom had electronic configuration 1s^7, it would have energy lower than that of the normal ground state configuration 1s^2 2s^2 2p^3, because the electrons would be closer to the nucleus. Yet 1s^7 is not observed because it violates
*
Heisenberg’s uncertainty principle
Hund’s rule
Pauli’s exclusion principle
Bohr postulate of stationary orbits
73. The unit of specific conductivity is
*
ohm cm1
ohm cm2
ohm1 cm
ohm1 cm1
74. In carbon60, all carbon atoms are
*
sp^2  hybridized with a truncated icosahedron shpae
sp^2  hybridized with a square antiprism shape
sp^2  hybridized with a diamond shape
sp^2  hybridized with a graphitelike shape
75. Which of the following is called Baeyer’s reagent?
*
Alkaline KMnO4 solution
Neutral KMnO4 solution
Saturated KMnO4 solution
Acidic KMnO4 solution
76. Alkaline KMnO4 solutionNeutral KMnO4 solutionSaturated KMnO4 solutionAcidic KMnO4 solution
*
muffle furnace and blast furnace respectively
reverberatory furnace and regenerative furnace respectively
blast furnace and regenerative furnace respectively
reverberatory furnace and blastfurnace respectively
77. The WurtzFittig reaction involves
*
two molecules of aryl halides
two molecules of alkyl halides
one molecule each of aryl halide and alkyl halide
one molecule each of aryl halide and phenol
78. If electron, hydrogen, helium and neon nuclei are all moving with the velocity of light, then the wavelengths associated with these particles are in the order
*
electron > hydrogen > helium > neon
electron > helium > hydrogen > neon
electron < hydrogen < helium < neon
neon < hydrogen < helium < electron
79. How many coulombs of electricity are required for the oxidation of 1 mole of H2O to O2?
*
9.65×10^4 C
4.825×10^5 C
1.93×10^5 C
1.93×10^4 C
80. Which order is correct in spectrochemical series of ligands?
*
Cl^<F^<C_2 O_4^(2)<NO_2^<CN^
CN^<C_2 O_4^(2)<Cl^>NO_2^<F^
F^<Cl^<NO_2^< CN^<C_2 O_4^(2)
C_2 O_4^(2)<F^<Cl^>NO_2^<CN^
81. Which represents ReimerTiemann reaction?
*
Option 1
Option 2
Option 3
Option 4
82. The compressibility factor of a gas is less than unity at STP, therefore
*
Vm>22.4 L
Vm<22.4 L
Vm=22.4 L
Vm=44.8 L
83. Which of the following statements is false?
*
London smog is oxidizing in nature
London smog contains H2SO4 droplets
London smog is formed in winter
London smog causes bronchitis
84.
*
√8
√15
√24
√35
85. The difference between ∆H and ∆U at constant volume is equal to
*
R
P∆V
V∆P
3/2 R
86. How many isomers of C2H11OH will be primary alcohols?
*
5
4
2
3
87. Which of the following is satisfied by an ideal solution?
*
Formation of an azeotropic mixture
∆Smix=0
Raoult’s law is obeyed under particular set of conditions only
∆Hmix=0
88. The geometrical arrangement of electron pairs and shape of I_3^ are respectively
*
trigonal bipyramidal geometry, linear shape
hexagonal geometry Tshape
triangular planar geometry, triangular shape
tetrahedral geometry, pyramidal shape
89. The compound used for the preparation of UF6 in the enrichment of 92 U^235 is
*
AlF3
CaF2
HF
ClF3
90. Which of the following statements is true for the electrochemical Daniell cell?
*
Electrons flow from copper electrode to zinc electrode
Current flows from zinc electrode to copper electrode
Cations move towards copper electrode
Cations move towards zinc electrode
91. In solid CuSO4.5H2O copper is coordinated to
*
4 water molecules
5 water molecules
1 sulphate molecule
1 water molecule
92. Which one is correct?
*
Freon14 is CF4, Freon13 is CF3Cl, Freon12 is CF2Cl2 and Freon11 is CFCl3.
Freons are chlorofluorocarbons
Freons are used as refrigerants
All the above
93. The equilibrium constant K_p for the reaction: PCl_5⇌PCl_3+Cl_2 is 1.6 at 200°C. The pressure at which PCl5 will be 50% dissociated at 200° C is
*
3.2 atm
4.8 atm
2.4 atm
6.4 atm
94. Which of the following statements is correct regarding ease of dehydration of alcohols?
*
Primary > Secondary
Secondary > Tertiary
Tertiary > Primary
None of these
95. Which of the following carbohydrates is used in silvering of mirrors?
*
Sucrose
Cellulose
Starch
Glucose
96. Which of the following metal in the ionic state is smaller in aqueous state ?
*
lithium
sodium
potassium
caesium
97. The unit of specific conductivity is
*
ohm cm1
ohm cm2
ohm1 cm
ohm1 cm1
98. In carbon60, all carbon atoms are
*
sp^2  hybridized with a truncated icosahedron shpae
sp^2  hybridized with a square antiprism shape
sp^2  hybridized with a diamond shape
sp^2  hybridized with a graphitelike shape
99. Which of the following is called Baeyer’s reagent?
*
Alkaline KMnO4 solution
Neutral KMnO4 solution
Saturated KMnO4 solution
Acidic KMnO4 solution
100.Roasting and smelting are generally carried out in
*
muffle furnace and blast furnace respectively
reverberatory furnace and regenerative furnace respectively
blast furnace and regenerative furnace respectively
reverberatory furnace and blastfurnace respectively
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