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VITEEE PCME Mock Test - 9

125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 9

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This mock test of VITEEE PCME Mock Test - 9 for JEE helps you for every JEE entrance exam. This contains 125 Multiple Choice Questions for JEE VITEEE PCME Mock Test - 9 (mcq) to study with solutions a complete question bank. The solved questions answers in this VITEEE PCME Mock Test - 9 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this VITEEE PCME Mock Test - 9 exercise for a better result in the exam. You can find other VITEEE PCME Mock Test - 9 extra questions, long questions & short questions for JEE on EduRev as well by searching above.

QUESTION: 1

For all real x, the minimum value of 1 - x + x²/1 + x + x² is

A.
0
B.
1/3
C.
1
D.
3

Solution:

QUESTION: 2

AOB is the positive quadrant of the ellipse x²/a² + y²/b² = 1, where OA = a, OB = b. The area between the arc AB and the chord AB of the ellipse is

A.
1/2 ab(π + 2)
B.
1/4 ab(π - 4)
C.
1/4 ab(π - 2)
D.
None of these

Solution:

Required area

QUESTION: 3

If |z| = 4 and arg z = (5π/6), then the value of z is

A.
2√3 - 2i
B.
2√3 + 2i
C.
-2√3 + 2i
D.
-√3 + i

Solution:

QUESTION: 4

If z₁ and z₂ are two non-zero complex numberssuch that |z₁ + z₂| =|z₁| + |z₂|,then arg z₁ -arg z₂ is equal to

A.
π/2
B.
-π
C.
0
D.
-π/2

Solution:

QUESTION: 5

A.
abc
B.
2abc
C.
3abc
D.
4abc

Solution:

QUESTION: 6

A.
16/3
B.
3/16
C.
-3/16
D.
-16/3

Solution:

QUESTION: 7

where [x] denotes the greatest integer less than or equal to x, is continuous at x = 2, then the value of a is equal to

A.
− 1
B.
0
C.
1
D.
4

Solution:

QUESTION: 8

A.
0
B.
N
C.
2N + 1
D.
N + 2

Solution:

QUESTION: 9

The differential equation representing the family of curves y²= 2c(x+√c), where c is a positive perimeter, is of

A.
order 1, degree 3
B.
order 1, degree 2
C.
degree 3 order 3
D.
degree 4 order 4

Solution:

QUESTION: 10

The differential equation | dy/dx | + | y | + 3 = 0 admits

A.
Infinite number of solutions
B.
No solution
C.
A unique solution
D.
Many solutions

Solution:

QUESTION: 11

A.
1
B.
-1
C.
does not exist
D.
none of these

Solution:

QUESTION: 12

Find the degree of (y₂)² − √ y₁ = y³

A.
2
B.
3
C.
4
D.
1/2

Solution:

QUESTION: 13

If x dy = y(dx + y dy), y > 0 and y (1) = 1, then y (-3) is equal to

A.
1
B.
3
C.
5
D.
-1

Solution:

QUESTION: 14

If the function f(x) = cos² x + cos²(π/3 + x) - cos x.cos(π/3 + x) is constant, then the value of this constant is

A.
0
B.
3/4
C.
1
D.
4/3

Solution:

QUESTION: 15

( d/dx )(x² + cos x)⁴ =

A.
4(x² + cos x)(2x - sin x)
B.
4(x² + cos x)³.(2x - sin x)
C.
4(x² - cos x)³.(2x - sin x)
D.
4(x² + cos x)³. (2x + sin x)

Solution:

d/dx(x² + cos x)⁴

= 4.(x² + cos x)³ x d/dx (x² + cos x)
= 4(x² + cos x)³ x (2x - sin x)

QUESTION: 16

A.
1/2 [ x + log | sin x − cos x | ] + c
B.
x + log | sin x − cos x | + c
C.
log | sin x − cos x | − x + c
D.
None

Solution:

QUESTION: 17

∫[sin(logx) + cos(logx)] dx =

A.
x cos(logx) + c
B.
sin(logx) + c
C.
cos(logx) + c
D.
x sin(logx) + c

Solution:

QUESTION: 18

The domain of sin^-1 x is

A.
(− π,π)
B.
[- 1, 1]
C.
(0, 2π)
D.
(− ∞, ∞)

Solution:

QUESTION: 19

if f : R→R be such that f(1) = 4 and f^'(1) = 12 then

A.
e²
B.
e^1/2
C.
1/e³
D.
e³

Solution:

QUESTION: 20

Which of the following is the converse of the statement: "If x > 4, then x + 2 > 5"?

A.
If x+2 < 5, then x < 4
B.
If x is not greater than 4, then x + 2 is not greater than 5
C.
If x + 2 > 5, then x > 4
D.
If x + 2 is not greater than 5, then x is not greater than 4

Solution:

To form the CONVERSE of a statement, the "If" and the "then" sections of the statement switch places.

QUESTION: 21

The value of lim

A.
e/2
B.
-e/2
C.
e/3
D.
− e/4

Solution:

QUESTION: 22

If A and B are two matrices such that AB = B and BA = A, then A²+ B² =

A.
2AB
B.
2BA
C.
A + B
D.
AB

Solution:

QUESTION: 23

In how many ways can 5 prizes be given to 4 students if any student can receive more than one prize?

A.
1024
B.
625
C.
120
D.
620

Solution:

Required ways = 4 x 4 x 4 x 4 x 4 = 4⁵

QUESTION: 24

Which of the following statement is false?

A.
Every skew symmetric matrix of odd order is non-singular
B.
If the determinant of a square matrix is non zero, then matrix is non-singular
C.
The adjoint symmetric matrix of symmetric matrix is symmetric
D.
The adjoint matrix of a diagonal matrix is diagonal

Solution:

The determinant of skew-symmetric matrix of odd order is always zero
Therefore the inverse of skew-symmetric matrix does not exist

QUESTION: 25

If A and B are two independent events in a given sample space and the probability that both A and B occur is 0.16 while the probability that neither occurs is 0.36. The probabilities P(A) and P(B) are respectively

A.
0.6, 0.6
B.
0.8, 0.2
C.
0.4, 0.4
D.
0.9, 0.4

Solution:

QUESTION: 26

From a well shuffled pack of playing cards, two cards drawn one by one with replacement. The probability that both are aces is

A.
2/51
B.
1/51
C.
1/221
D.
none of these

Solution:

For the first card drawn , probability of ace is 4/52 .
Then for the second card, after the first ace is drawn, there are only 3 aces left out of 51 cards,
So probability is 3/51 .
The probability of performing two independent activities such as this is actually the product of the probabilities:
( 4/52 ) x ( 3/51 ).
This reduces to ( 1/13 ) x ( 1/17 ) = 1 221

QUESTION: 27

In shuffling a pack of cards 3 are accedentally dropped, then the chance that missing card should be of different suit is

A.
169/425
B.
261/425
C.
104/425
D.
none of these

Solution:

We have to find out the probability of 3 cards of different suits out of four suits
The ways of choosing three suits out of four = ⁴C₃
Since, each suit has 13 cards, the ways of choosing 1 card = ¹³C₁ = 13

QUESTION: 28

If b,c and sinB are given such that ∠B is acute and b<c sinB, then

A.
No triangle is possible
B.
One triangle is possible
C.
Two triangle are possible
D.
One right angled triangle is possible

Solution:

When two sides and angle opposite to one of then be given. In this case, the triangle is not always uniquely determined. It is quite possible to have no triangle, one triangle and two triangles with this type of data.
So, it is called an ambiguous case.
Let b, c and B are given parts.
When B is acute and b < c sin B, then there is no triangle
By Cosine Law
b² = c² + a² - 2ac cos B
⇒ a² - 2ac cos B = b² - c²
⇒ a² - 2ac cos B + c² cos² B
= b² - c² + c² cos² B
⇒ (a - c cos B)² = b² - c² (1 - cos² B)
= b² - c² sin² B

This equation helps us to determine a, when b, c and B are being given. We observe that:
When b < c sin B, then a is imaginary and so there is no solution.

QUESTION: 29

The number of terms of the A.P. 3, 7, 11, 15,...to be taken so that the sum is 406 is

A.
5
B.
10
C.
12
D.
14

Solution:

QUESTION: 30

The mean of 5 observations is 4.4 and their variance is 8.24. If three observations are 1, 2 and 6, the other two observations are

A.
4 and 8
B.
4 and 9
C.
5 and 7
D.
5 and 9

Solution:

QUESTION: 31

The mode of the following items is 0,1,6,7,2,3,7,6,6,2,6,0,5,6,0, is

A.
0
B.
5
C.
6
D.
2

Solution:

QUESTION: 32

p and q are the roots of x² + ax + b = 0, then equation whose roots are p²q, q²p is

A.
x² + abx + b³ = 0
B.
x² - abx + b³ = 0
C.
bx² + x + a = 20
D.
x² + ax + ab = 0

Solution:

p + q = - a, p.q = b
Now, p² q + q² p = pq(p + q)
= b(-a) = - ab
p²q . q²p = (pq)³ = b³
The required equation is
x² - (p²q + q²p) x+ (p²q . q²p) = 0
x² + abx + b³ = 0

QUESTION: 33

If the roots of the equation x²+2mx+m²-2m+6=0 are equal, then the value of m is

A.
3
B.
0
C.
2
D.
-1

Solution:

QUESTION: 34

The locus of x²+y²+z²=0 is

A.
(0,0,0)
B.
a sphere
C.
a circle
D.
none of these

Solution:

QUESTION: 35

The angle between the lines 2x=3y=-z and 6x=-y=-4z, is

A.
0⁰
B.
30^o
C.
45⁰
D.
90^o

Solution:

QUESTION: 36

The equation sinx+cosx=2 has

A.
infinite solution
B.
two solutions
C.
unique solution
D.
no solution

Solution:

QUESTION: 37

If the pair of lines ax²+ 2hxy + by² + 2gx + 2fy + c = 0 intersect on the y-axis then

A.
2fgh = bg² + ch²
B.
bg² ≠ ch²
C.
abc = 2fgh
D.
none of these

Solution:

QUESTION: 38

If |a|=3, |b|=4, |c|=5 and a+b+c=0, the angle between a and b is

A.
0
B.
π/6
C.
π/3
D.
π/2

Solution:

QUESTION: 39

is equal to

A.
50
B.
-50
C.
25
D.
-25

Solution:

QUESTION: 40

The point on the axis of y which is equidistant from (-1, 2) and (3, 4) is

A.
(0, 4)
B.
(0, 5)
C.
(5, 0)
D.
None of these

Solution:

QUESTION: 41

The ratio of secondary to the primary turns in a transformer is 3:2. If the power output be P, then the input power neglecting all loses must be equal to

A.
5 P
B.
1.5 P
C.
P
D.
2/5 P

Solution:

QUESTION: 42

In photoelectric effect, the photoelectric current

A.
Increases when the frequency of incident photon increases
B.
Decreases when the frequency of incident photon decreases
C.
Does not depend on the photon frequency but depends only on the intensity of incident beam
D.
Depends both on the intensity and frequency of the incident beam of light

Solution: Higher photocurrent implies, higher no. of electrons emitted/sec which in turn implies higher no. of photons incident per sec per unit area of higher intensity.
Moreover by increasing frequency, energy of incident photon gets changed but not their number

QUESTION: 43

The penetrating power of X - rays increases with the

A.
Increase in its velocity
B.
Decreases in its velocity
C.
Decrease in its frequency
D.
Increase in its frequency

Solution:

QUESTION: 44

A parallel plate condenser with oil between the plates (dielectric constant of oil K = 2) has a capacitance C. If the oil is removed, then capacitance of the capacitors becomes

A.
C/2
B.
C/√2
C.
2 C
D.
√2C

Solution:

On removing the oil, the capacitance of the capacitor will become.
C ′ = C/K = C/2

QUESTION: 45

A steady current of 1.5 A flows through a copper voltameter for 10 min. If the electrochemical equivalent of copper is 30 x 10^-5 g C^-1 , the mass of copper deposited on the electrode will be

A.
0.40g
B.
0.50g
C.
0.67g
D.
0.27g

Solution:

QUESTION: 46

A laser beam is used for carrying out surgery because it

A.
is highly monochromatic
B.
is highly coherent
C.
is highly directional
D.
can be sharply focussed

Solution: As the laser beam is highly monochromatic, directional and coherent, it can be sharply focussed.
Therefore it is used for carrying out surgery

QUESTION: 47

Two wires of same metal have the same length but their cross-sections are in the ratio 3:1. They are joined in series. The resistance of the thicker wire is 10 Ω. The total resistance of the combination will be

A.
40 Ω
B.
40/3 Ω
C.
5/2 Ω
D.
100 Ω

Solution:

QUESTION: 48

A galvanometer can be used as a voltmeter by connecting a

A.
High resistance in series
B.
Low resistance in series
C.
High resistance in parallel
D.
Low resistance in parallel

Solution:

QUESTION: 49

In a potentiometer experiment, two primary cells are connected in series to support each other and then connected to oppose each other. The balance point are obtained at 4 m and 1 m respectively. The ratio of electromotive forces of the two cells is

A.
4:1
B.
2:1
C.
5:3
D.
5:4

Solution:

QUESTION: 50

The resistance of a 10 m long wire is 10 Ω. Its length is increased by 25% by stretching the wire uniformly. The resistance of wire will change to (approximately)

A.
12.5 Ω
B.
14.5 Ω
C.
15.6 Ω
D.
16.6 Ω

Solution:

QUESTION: 51

The core of a transformer is laminated so that

A.
Ratio Es/Ep is increased
B.
Rusting of core may be stopped
C.
Energy losses due to eddy currents be reduced
D.
Change in flux is increased

Solution:

QUESTION: 52

A particle which has zero rest mass and non-zero energy and momentum must travel with a speed

A.
Less than c
B.
Greater than c
C.
Equal to c, the speed of light in vacuum
D.
Tending to infinity

Solution:

QUESTION: 53

The coefficient of mutual inductance, when magnetic flux changes by 2 X 10^-2 Wb and current changes by 0.01 A is

A.
2 H
B.
4 H
C.
3 H
D.
8 H

Solution:

QUESTION: 54

The energy stored in a 50 mH inductor carrying a current of 4 A will be

A.
0.4 J
B.
4.0 J
C.
0.8 J
D.
0.04 J

Solution:

QUESTION: 55

Maxwell in his famous equation of electromagnetism introduced the concept of

A.
a.c.current
B.
d.c.current
C.
displacement current
D.
impedance

Solution:

QUESTION: 56

A point charge q is placed at a distance a/2 directly above the centre of a square of side a. The electric flux through the square assuming it to be one face of the cube is

A.
q/∈₀
B.
q/6 ∈₀
C.
q/4 ∈₀
D.
none of these

Solution:

QUESTION: 57

A charge of 5 C is given a displacement of 0.5 m. The work done in the process is 10 J. The potential difference between the two points will be

A.
25 V
B.
1 V
C.
0.25 V
D.
2 V

Solution:

QUESTION: 58

n small drops of same size are charged to V volt each. They coalesce to form a bigger drop. The potential of the bigger drop is

A.
n times the potential of each small drop
B.
1/n times the potential of each small drop
C.
n^1/3 time the potential of each small drop
D.
n^2/3 time the potential of each small drop

Solution:

QUESTION: 59

A capacitor of 10 μF charged up to 250 volts is connected in parallel with another capacitor of 5 μF charged up to 100 volts. The common potential is

A.
500 V
B.
400 V
C.
300 V
D.
200 V

Solution:

QUESTION: 60

If an unchanged capacitor is charged by connecting it to a battery, then the amount of energy lost as heat is

A.
Q V
B.
Q V²
C.
1/2Q V
D.
1/2Q V²

Solution:

QUESTION: 61

A charged particle of mass 5 x 10^-6 Kg is held stationary in space by placing it in an electric field of strength 10⁶ N C^-1 directed vertically downwards. The charge on the particle is g = 10 m s^-2

A.
− 20 x 10^-5 μ C
B.
− 5 x 10^-5 μ C
C.
5 x 10^-5 μ C
D.
Q/2

Solution:

QUESTION: 62

A cyclotron oscillator frequency is 10 MHz. If radius of its dees 60 cm, then magnetic field for accelerating the protons is (Given e = 1.6 x 10^-19C, mp = 1.67 x 10^-27 kg)

A.
0.11 T
B.
0.22 T
C.
0.44 T
D.
0.66 T

Solution:

v = 10 MHz = 10 x 10⁶ Hz = 10⁷ Hz
R = rm = 60 cm = 0.6 m
e = 1.6 x 10^-19 C
m = 1.67 x 10^-27 kg
resonance v = Be/2πm
or B = 2πmv/e

QUESTION: 63

Which shows radioactivity?

A.
Protium
B.
Deuterium
C.
Tritium
D.
None of these

Solution:

QUESTION: 64

The nucleus of ₅₆Ba¹⁴¹ contains ---- neutrons

A.
56
B.
141
C.
85
D.
58

Solution:

QUESTION: 65

Sodium surface is subjected to ultraviolet and infrared radiations separately and the stopping potential of photoelectrons determined. Then the stopping potential is

A.
Equal in both cases
B.
More when ultraviolet is used
C.
More when infrared is used
D.
May be more or less for ultraviolet depending upon its intensity as compared to the intensity of infrared light

Solution:

QUESTION: 66

Which is not electromagnetic wave in the following?

A.
Infrared rays
B.
X - rays
C.
$γ$ - rays
D.
Cathode rays

Solution:

QUESTION: 67

Which of the following is not dependent on the intensity of incident radiation in a photoelectric experiment ?

A.
Work function of the surface
B.
Amount of photoelectric current
C.
Stopping potential will be reduced
D.
Maximum K.E. of photoelectrons

Solution:

QUESTION: 68

A glass slab is placed in the path of convergent light. The point of convergence of light

A.
Moves towards the glass slab
B.
Moves away from the glass slab
C.
Remains at the same point
D.
Undergoes a lateral shift

Solution:

QUESTION: 69

A ray of light is incident at 60^o on a prism of refracting angle 30^o . The emergent ray is at an angle 30^o with the incident ray. The value of refractive index of the prism is

A.
√3/4
B.
√3/2
C.
3
D.
2√3

Solution:

Angle of prism = 30^o = A
Angle of incidence = i₁ = 60^o
Angle of emergence = i₂ = ?
Angle of devation = D = 30^o
∴ i₂ = A + D - i₂ = 30 + 30 - 60 = 0^o
⇒ r₂ = 0^o
∴ r₁ = A-r₂ = 30 - 0 = 30^o
∴ μ = sin i 1 sin r 1 = sin 60^o /sin 30^o = √ 3

QUESTION: 70

The current gain for a transistor working as common-base amplifier is 0.96. If the emitter current is 7.2 mA, then the base current is

A.
0.29 mA
B.
0.35 mA
C.
0.39 mA
D.
0.43 mA

Solution:

QUESTION: 71

A rectifier converts

A.
light energy into electrical energy
B.
high frequency into low frequency
C.
alternating current into direct current
D.
mechanical energy into electric energy

Solution:

QUESTION: 72

If a half wave rectifier is used to convert 50HZ a.c into d.c number of pulses present in the rectified output voltage is

A.
25
B.
50
C.
75
D.
100

Solution:

QUESTION: 73

Bonding in a germanium crystal (semiconductor) is

A.
Metallic
B.
Ionic
C.
Vander Waal's type
D.
Covalent

Solution:

QUESTION: 74

Depletion layer consists of

A.
electrons
B.
protons
C.
mobile ions
D.
immobile ions

Solution:

QUESTION: 75

In an insulator, the forbidden energy gap between the valence band and conduction band is of the order of

A.
1 MeV
B.
0.1 MeV
C.
1 eV
D.
5 eV

Solution:

QUESTION: 76

GaAs is

A.
Element semiconductor
B.
Alloy semiconductor
C.
Bad conductor
D.
Metallic semiconductor

Solution:

QUESTION: 77

When two coherent monochromatic light beams of intensities I and 4I are superimposed, the ratio between maximum and minimum intensities in the resultant beam is

A.
9:1
B.
1:9
C.
4:1
D.
1:4

Solution:

QUESTION: 78

If wavelength of a photon is 6000 Å, then energy of this photon will be

A.
0.66 eV
B.
1.66 eV
C.
2.06 eV
D.
3.5 eV

Solution:

QUESTION: 79

A ray of light falls on a transparent glass slab of refractive index 1.62. If the reflected ray and the refracted ray are mutually perpendicular, the angle of incidence is

A.
tan^-1(1.62)
B.
tan^-1(1/1.62)
C.
tan^-1(1.33)
D.
tan^-1(1/1.33)

Solution:

QUESTION: 80

For diffraction of light, the condition for nth secondary minimum is that path difference is equal to [Here a is the width of slit, n is the order of diffraction, λ is the wavelength of light and θ n gives the direction of nth secondary minimum ]

A.
a sin θ_n = n λ
B.
a sin θn = (2 n + 1) λ
C.
a sin θ n = (2 n + 1) λ/2
D.
a sin θ_n = n λ/2

Solution:

QUESTION: 81

Mild oxidation of glycerol with H₂O₂/FeSO₄ gives

A.
Glyceraldehyde only
B.
Dihydroxyacetone only
C.
Both of these
D.
None

Solution:

QUESTION: 82

A compound A has a molecular formula C₂Cl₃OH. It reduces Fehling solution and on oxidation produces a monocarboxylic acid B. A can also be obtained by the action of Cl₂ on Ethanol. A is

A.
Chloral
B.
CHCl₃
C.
CH₃Cl
D.
Chloroacetic acid

Solution:

QUESTION: 83

Which of the following gives iodoform on heating with a solution of l₂ containing Na₂CO₃ ?

A.
Ethyl alcohol
B.
Acetone
C.
Ethyl alcohol as well as acetone
D.
Methyl alcohol

Solution:

QUESTION: 84

Propyne on hydrolysis in presence of HCl and HgSO₄ gives

A.
Acetaldehyde
B.
Acetone
C.
Formaldehyde
D.
None

Solution:

QUESTION: 85

Pentene-1 with HCl gives

A.
3-Chloropentane
B.
2-Chloropentane
C.
1, 2-Dichloropentane
D.
1-Chloropentane

Solution:

QUESTION: 86

An alkane C₇H₁₆ is produced by the reaction of Lithium di (3-pentyl) cuperate with ethyl bromide. The structural formula of product is

A.
3-Methylhexane
B.
2-Ethylpentane
C.
3-Ethylpentane
D.
n-Heptane

Solution:

QUESTION: 87

The ratio of the molar amounts of H₂S needed to precipitate the metal ions from 20 mL each of 1M Cd(NO₃)₂ and 0.5 M CuSO₄ is

A.
1 : 1
B.
2 : 1
C.
1 : 2
D.
Indefinite

Solution:

As Cd²⁺ and Cu²⁺, both are dipositive ions but Cu²⁺ has one half of the concentration compared to that of the Cd²⁺. Thus, the molar amount of the H₂S used to precipitate the metals ions Cd²⁺ and Cu²⁺ is 2 : 1.

QUESTION: 88

Point out the incorrect statement about resonance?

A.
Resonance structures should have equal energy
B.
In resonance structures, the constituent atoms must be in the same position
C.
In resonance structures, there should not be same number of electron pairs
D.
Resonance structures should differ only in the location of electrons around the constituent atoms.

Solution:

QUESTION: 89

Enzyme trypsin converts

A.
Proteins into α-amino acids
B.
Starches into sugar
C.
Glucose into glycogen
D.
α-Amino acids into proteins

Solution:

QUESTION: 90

What is the main reason for the fact that carboxylic acids can undergo ionization?

A.
Absence of alpha-hydrogen
B.
Resonance stabilization of the carboxylate ion
C.
High reactivity of alpha-hydrogen
D.
Hydrogen bonding

Solution:

QUESTION: 91

Glucose reacts with acetic anhydride to form

A.
monoacetate
B.
tetra-acetate
C.
penta-acetate
D.
hexa-acetate

Solution:

QUESTION: 92

When propanamide reacts with Br₂ and NaOH then which of the following compounds is formed ?

A.
Ethyl alcohol
B.
Propyl alcohol
C.
Propyl amine
D.
Ethylamine

Solution:

QUESTION: 93

Which amino acid has no assymmetric carbon atom?

A.
Histidine
B.
Glycine
C.
α-Alanine
D.
Threonin

Solution:

QUESTION: 94

In the above reaction , product P is

Solution:

QUESTION: 95

A reaction reaches a state of chemical equilibrium only when

A.
The reactants and the products are reacting
B.
The concentrations of the reactants and products become equal
C.
The products react together at the same rate at which they are formed
D.
All the reactants and the products are in the same state of matter

Solution:

QUESTION: 96

Which of the following favours the backward reaction in a chemical equilibrium?

A.
increasing the concentration of one of the reactants
B.
add negative catalyst
C.
removal of atleast one of the products at regular intervals
D.
increasing the concentration of one or more of the products

Solution:

QUESTION: 97

The enthalpy change of a reaction does not depend on

A.
state of reactants and products
B.
nature of reactants and products
C.
different intermediate reactions
D.
initial and final enthalpy change of reaction

Solution:

QUESTION: 98

In an endothermic reaction, the value of ∆H is

A.
Zero
B.
Positive
C.
Negative
D.
Constant

Solution:

QUESTION: 99

The minimum energy required by molecules to react is called

A.
Kinetic energy
B.
Potential energy
C.
Neutralisation energy
D.
Activation energy

Solution:

QUESTION: 100

The synthetic product which closely resembles with the natural musk in odour is

A.
musk xylene
B.
musk ketone
C.
musk ambrette
D.
all of these

Solution:

QUESTION: 101

The colour of p-aminoazobenzene is

A.
Orange
B.
Congo red
C.
Bismark brown
D.
Indigo

Solution:

QUESTION: 102

Caranalite is a

A.
Simple salt
B.
Double salt
C.
Alum
D.
Coordination compound

Solution:

QUESTION: 103

The effective atomic number of Cr (at. no. 24) in [(Cr(NH₃)₆] Cl₃ is

A.
35
B.
27
C.
33
D.
36

Solution:

QUESTION: 104

When dilute H₂SO₄ is electrolysed at room temperature between Pt electrodes. The substance liberated at anode is

A.
S
B.
SO₃
C.
H₂
D.
O₂

Solution:

QUESTION: 105

Structural formula of ethanenitrile is

A.
C₂H₅C ≡ N
B.
CH₃C ≡ N
C.
C₂H₅NO₂
D.
CH₃NO₂

Solution:

QUESTION: 106

Which of the following will exhibits geometrical isomerism ?

A.
1-Phenyl-2butene
B.
3-Phenyl-1-butene
C.
2-Phenyl-1-butene
D.
1,1-Diphenyl-1-propene

Solution:

QUESTION: 107

How many litres of O₂ at STP are needed to complete the combustion of 39 g of liquid benzene as per equation given below ?
2C₆H₆(l) + 15O₂(g) →12CO₂(g) + 6H₂O(g)

A.
84 l
B.
74 l
C.
11.2 l
D.
22.4 l

Solution:

QUESTION: 108

Galena is an ore of

A.
Gallium
B.
Lead
C.
Tin
D.
Germanium

Solution:

QUESTION: 109

tert-Butyl methyl ether on heating with HI of one molar concentration gives

A.
CH₃OH +(CH₃)₃CI
B.
CH₃I +(CH₃)₃COH
C.
CH₃I +(CH₃)₃CI
D.
None of these

Solution:

QUESTION: 110

The correct order of the mobility of the alkali metal ions in aqueous solution is

A.
Na⁺ > K⁺ > Rb⁺ > Li⁺
B.
K⁺ > Rb⁺ > Na⁺ > Li⁺
C.
Rb⁺ > K⁺ > Na⁺ > Li⁺
D.
Li⁺ > Na⁺ > K⁺ > Rb⁺

Solution:

QUESTION: 111

At cathode, the electrolysis of aqueous Na₂SO₄ gives

A.
Na
B.
H₂
C.
SO₃
D.
SO₂

Solution:

QUESTION: 112

The standard E⁰_red. values of A,B,C are 0.68V,- 2.54 V,-0.50V respectively.The order of their reducing power is

A.
A > B > C
B.
A > C > B
C.
C > B > A
D.
B > C > A

Solution:

QUESTION: 113

C₄H₄O₄ can be:

A.
a cyclic ester of dibasic acid
B.
a cis-dibasic acid
C.
a trans-dibasic acid
D.
all are true

Solution:

QUESTION: 114

Crystals of covalent compounds always have

A.
Atoms as their structural units
B.
Molecules as their structural units
C.
Ions held together by electrostatic forces
D.
High melting points

Solution:

QUESTION: 115

If molecular weight of KMnO₄ is M, then its equivalent weight in acidic medium would be

A.
M
B.
M/2
C.
M/5
D.
M/8

Solution:

QUESTION: 116

P₄O₁₀ has short and long P-O bonds. The number of short P-O bonds in this compound is

A.
1
B.
3
C.
2
D.
4

Solution:

P₄O₁₀ has four P = O bonds which are shorter than P-O single bonds.
Each P atom has three P-O single bonds and one P = O bond, i.e.,
a total of four P-O linkages

QUESTION: 117

In chemical reaction, catalyst:

A.
alters the amount of the products
B.
lowers the activation energy
C.
decreases the ∆H of forward reaction
D.
increases the ∆H of forward reaction

Solution:

QUESTION: 118

Which of the following oxides of Nitrogen is anhydride of HNO₃

A.
N₂O₃
B.
N₂O₄
C.
N₂O₅
D.
N₂O

Solution:

QUESTION: 119

Which of the following is a non-transition element?

A.
Co
B.
Pb
C.
Ce
D.
Ag

Solution:

QUESTION: 120

When KI and CuSO₄ solutions are mixed, it gives

A.
K₂SO₄ + I₂
B.
Cu₂I₂ + K₂SO₄
C.
CuI₂ + K₂SO₄
D.
Na₂SO₄ + I₂

Solution:

QUESTION: 121

Find the Antonym of NADIR

A.
Progress
B.
Liberty
C.
Zenith
D.
Modernity

Solution:

QUESTION: 122

Fill in the blank with appropriate word.
Manuring in agricultural fields increases........

A.
income
B.
fertility
C.
profitability
D.
productivity

Solution:

QUESTION: 123

Find the Syonym of ACCENTUATED

A.
Projected
B.
Exhibited
C.
Sharpened
D.
Mitigated

Solution:

QUESTION: 124

Out of the given alternatives, choose the one which can be substituted for the given capitalised word.

Being an introvert, he will eat his HEART OUT.

A.
eat too much
B.
keep brooding
C.
invite trouble
D.
suffer silently

Solution:

QUESTION: 125

Improve the sentence by choosing best alternative for capitalised part of the sentence.

No one could explain how a calm and balanced person like him could PENETRATE such a mindless act on his friends.

A.
perpetuate
B.
perpetrate
C.
precipitate
D.
No improvement

Solution:

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For all real x, the minimum value of 1 - x + x2/1 + x + x2 is

AOB is the positive quadrant of the ellipse x2/a2 + y2/b2 = 1, where OA = a, OB = b. The area between the arc AB and the chord AB of the ellipse is

If |z| = 4 and arg z = (5π/6), then the value of z is

5 P

1.5 P

P

2/5 P

Increases when the frequency of incident photon increases

Decreases when the frequency of incident photon decreases

Does not depend on the photon frequency but depends only on the intensity of incident beam

Depends both on the intensity and frequency of the incident beam of light

Increase in its velocity

Decreases in its velocity

Decrease in its frequency

Increase in its frequency

is highly monochromatic

is highly coherent

is highly directional

can be sharply focussed

40 Ω

40/3 Ω

5/2 Ω

100 Ω

High resistance in series

Low resistance in series

High resistance in parallel

Low resistance in parallel

4:1

2:1

5:3

5:4

12.5 Ω

14.5 Ω

15.6 Ω

16.6 Ω

Less than c

Greater than c

Equal to c, the speed of light in vacuum

Tending to infinity

0.4 J

4.0 J

0.8 J

0.04 J

a.c.current

d.c.current

displacement current

impedance

q/∈₀

q/6 ∈₀

q/4 ∈₀

none of these

25 V

1 V

0.25 V

2 V

500 V

400 V

300 V

200 V

Protium

Deuterium

Tritium

None of these

56

141

85

58

Equal in both cases

More when ultraviolet is used

More when infrared is used

May be more or less for ultraviolet depending upon its intensity as compared to the intensity of infrared light

Infrared rays

X - rays

γ - rays

Cathode rays

Work function of the surface

Amount of photoelectric current

Stopping potential will be reduced

For all real x, the minimum value of 1 - x + x²/1 + x + x² is

AOB is the positive quadrant of the ellipse x²/a² + y²/b² = 1, where OA = a, OB = b. The area between the arc AB and the chord AB of the ellipse is

$γ$ - rays