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VITEEE PCME Mock Test - 5

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125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 5

VITEEE PCME Mock Test - 5 for JEE 2023 is part of VITEEE: Subject Wise and Full Length MOCK Tests preparation. The VITEEE PCME Mock Test - 5 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 5 MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 5 below.

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VITEEE PCME Mock Test - 5 - Question 1

The rate of change of the volume of a sphere w.r.t. its surface area, when the radius is 2cm, is

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

VITEEE PCME Mock Test - 5 - Question 2

A real value of x will satisfy the equation
[((3 - 4 i x)/( 3 + 4i x))] = α - iβ ( α ,β real),if

A.
α² - β²= -1
B.
α² - β² = 1
C.
α² + β² = 1
D.
α² - β² = 2

VITEEE PCME Mock Test - 5 - Question 3

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

VITEEE PCME Mock Test - 5 - Question 4

The area bounded by the curve y = (x + 1)², y = (x - 1)² and the line y = 1/4 is

A.
1/6
B.
2/3
C.
1/4
D.
1/3

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 4

Given curves are
(x + 1)² = y .....(1)
and (x - 1)² = y .....(2)
Axis of parabola (1) is x = - 1 and vertex is (- 1, 0) and it meets y-axis at (0,1)
Axis of parabola (2) is x = 1 and vertex is (1, 0) and it cuts y - axis at (0, 1)
When y = 1/4
from (2), x - 1 = 1/2
∴ x = 1/2 , 3/2
∴ C ≡ ( 1/2 , 1/4 )
Required area = 2 area BACB

VITEEE PCME Mock Test - 5 - Question 5

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

VITEEE PCME Mock Test - 5 - Question 6

All the roots of the equation zⁿ cos θ_o + z^{n − 1} cos θ₁ + … + cos θ_n = 2 , where θ_o , θ₁ , θ₂ , … , θ_n ∈ R will satisfy

A.
| z | = 1/2
B.
| z | > 1/2
C.
| z | < 1/2
D.
| z | = 1

VITEEE PCME Mock Test - 5 - Question 7

, then the value of x is

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

VITEEE PCME Mock Test - 5 - Question 8

If f(x) = tanx/x , x ≠ 0 ; f x = 1, x = 0 , then the function at x = 0 is

A.
Differentiable
B.
Continuous
C.
Discontinuous
D.
None

VITEEE PCME Mock Test - 5 - Question 9

A.
1/abc
B.
abc
C.
0
D.
ab + bc + ca

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 9

Multiply R₁, R₂, R₃ by a, b, c respectively and divide by abc
Take abc common from C₃ so that C₁, C₃ are identical

VITEEE PCME Mock Test - 5 - Question 10

A solution of the differential equation x (dy/dx)² + (y-x) dy/dx - y = 0 is

A.
(x-y+c) (xy-c)= 0
B.
(x+y+c) (xy-c) = 0
C.
(x-y+c) (2xy-c) = 0
D.
(y-x+C) (xy-c) = 0

VITEEE PCME Mock Test - 5 - Question 11

y = A e^x + B e^2x + C e^3xsatisfies the diferential equation

A.
y ‴ − 6 y ″ + 11 y ′ − 6 y = 0
B.
y ‴ + 6 y ″ + 11 y ′ + 6 y = 0
C.
y ‴ + 6 y ″ − 11 y ′ + 6 y = 0
D.
y ‴ − 6 y ″ − 11 y ′ + 6 y = 0

VITEEE PCME Mock Test - 5 - Question 12

The solution of differential equation (dy/dx)=[(1+y²)/(1+x²)] is

A.
1+xy+c(y-x)=0
B.
x+y=c(1-xy)
C.
y-x=c(1+xy)
D.
1+xy=c(x+y)

VITEEE PCME Mock Test - 5 - Question 13

Which equation has the solution y=A sinx+B cosx?

A.
(d²y/dx²)+y=0
B.
(d²y/dx²) - y=0
C.
(dy/dx)+y=0
D.
none of these

VITEEE PCME Mock Test - 5 - Question 14

If y=log logx, e^y(dy/dx)=

A.
(1/xlogx)
B.
1/x
C.
1/logx
D.
e²

VITEEE PCME Mock Test - 5 - Question 15

If f : A → B is a bijective function then f^-1 ο f=

A.
f ο f ^-1
B.
f
C.
f ^-1
D.
I_A (Identity map of the set A)

VITEEE PCME Mock Test - 5 - Question 16

∫ [sin(logx) + cos(logx)] dx =

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

VITEEE PCME Mock Test - 5 - Question 17

∫x cos x dx =

A.
x sin x + cos x
B.
x sin x - cos x
C.
x cos x + sin x
D.
x cos x - sin x

VITEEE PCME Mock Test - 5 - Question 18

If tan^-1 x + tan^-1 y + tan^-1 z = π/2 , then 1 - xy - yz - zx =

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

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 18

Let tan^-1 x = A, tan^-1 y = B, tan^-1 z = C,
Then x = tan A, y = tan B, z = tan C, A + B + C = π/2
A + B + C = π/2
⇒ tan (A + B + C) is not defined
⇒ 1 - S₂ = 0
⇒ 1 - tan A tan B - tan B tan C - tan C tan A = 0
⇒ 1 - xy - yz - zx = 0

VITEEE PCME Mock Test - 5 - Question 19

A.
2
B.
-2
C.
∞
D.
does not exist

VITEEE PCME Mock Test - 5 - Question 20

A.
0
B.
2
C.
3
D.
4

VITEEE PCME Mock Test - 5 - Question 21

A and B are square matrices of the same order. Which is correct?

A.
(AB)'=A'B'
B.
(AB)'=B'A'
C.
AB=0 If |A|=0 or |B|=0
D.
AB=0 If A=I or B=I

VITEEE PCME Mock Test - 5 - Question 22

"It has two pairs of opposite sides parallel." Which of the following make this open sentence true?

A.
parallelogram
B.
trapezoid
C.
rectangle
D.
both A and C

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 22

Parallelograms and rectangles have two pairs (sets) of parallel sides. A trapezoid has one pair (set) of parallel sides.

VITEEE PCME Mock Test - 5 - Question 23

If A,B,C are matrices of order nxn then (ABC)'=

A.
A'B'C'
B.
C'B'A'
C.
B'C'A'
D.
B'A'C'

VITEEE PCME Mock Test - 5 - Question 24

A parallelogram is cut by two sets of m lines parallel to the sides, the number of parallelogram thus formed is

A.
m²/4
B.
(m + 1)²/4
C.
(m + 2)² /4
D.
(m + 2)²(m + 1)²/4

VITEEE PCME Mock Test - 5 - Question 25

The chance of throwing a total of 7 or 12 with 2 dice, is

A.
(2/9)
B.
(5/9)
C.
(5/36)
D.
(7/36)

VITEEE PCME Mock Test - 5 - Question 26

From a box containing 10 cards, numbered 1, 2,3,......,10. Four cards are drawn together, what is the probability of their sum is even ?

A.
13/18
B.
8/25
C.
7/16
D.
11/21

VITEEE PCME Mock Test - 5 - Question 27

The probabilities that three men hit a target are 1/6 , 1/4 , 1/3 respectively. Each shoots once the target what is the probability that exactly one of the them hits the target?

A.
23/96
B.
42/127
C.
19/48
D.
31/72

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 27

VITEEE PCME Mock Test - 5 - Question 28

A.
B.
C.
D.
none of these

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 28

VITEEE PCME Mock Test - 5 - Question 29

In the expansion of (1 + x)ⁿ,coefficients of 2nd ,3rd and 4th terms are in A.P.Then n is equal to

A.
7
B.
11
C.
9
D.
none of these

VITEEE PCME Mock Test - 5 - Question 30

The mean deviation of the numbers 3, 4, 5, 6, 7 is

A.
0
B.
1.2
C.
5
D.
25

VITEEE PCME Mock Test - 5 - Question 31

The mean age of a combined group of men and women is 30 years. If the means of the age of men and women are respectively 32 and 27, then the percentage of women in the group is

A.
30
B.
40
C.
50
D.
60

VITEEE PCME Mock Test - 5 - Question 32

If equations x = cy + bz, y = az + cx and z = bx + ay have any solution except x = 0, y = 0, z = 0, then the relation between a, b and c is

A.
a² + b² + c² + 3 abc = 0
B.
a² + b² + c² + 2 abc = 0
C.
a² + b² + c² + 2 abc = 1
D.
none of these

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 32

The system of homogeneous equations-
x − cy − bz = 0......(i)
cx − y - bz = 0
bx - ay − z = 0
has non-trivial solution (since x, y, z are not all zero)

VITEEE PCME Mock Test - 5 - Question 33

The value of x² + 2bx + c is positive if

A.
b² - 4c > 0
B.
b² - 4c < 0
C.
c² < b
D.
b² < c

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 33

The given expression be
x² + 2bx + c
Comparing it with Ax² + Bx + c, we get
A = 1, B = 2b, C = c
Also A = 1 > 0
x² + 2bx + c will be positive i.e.
will be of the same sign as that of A,
if B² - 4AC < 0
4b² - 4(1) (c) < 0
or b² < c

VITEEE PCME Mock Test - 5 - Question 34

The equation of the plane through intersection of planes x + 2y + 3z = 4 and 2x + y - z = -5 and perpendicular to the plane 5x + 3y + 6z + 8 = 0 is

A.
7x - 2y + 3z + 81 = 0
B.
23x + 14y - 9z + 48 = 0
C.
51x + 15y - 50z + 173 = 0
D.
none of these

VITEEE PCME Mock Test - 5 - Question 35

The radius of the sphere which passes thro' the points (0,0,0),(1,0,0),(0,1,0) and (0,0,1) is

A.
1/2
B.
1
C.
√3
D.
√3/2

VITEEE PCME Mock Test - 5 - Question 36

If 2sec2α = tanβ + cotβ, then one of the value of (α+β) is

A.
π/4
B.
π/2
C.
π
D.
2π

VITEEE PCME Mock Test - 5 - Question 37

The number of tangents to the circle x² + y² - 2x + 4y = 0 through the point (-1, 2) is

A.
1
B.
2
C.
0
D.
None of these

VITEEE PCME Mock Test - 5 - Question 38

If a circle passes through the point (a, b) and cuts the cirlce x²+ y² = p² orthogonally, then the equation of the locus of its centre is

A.
2ax + 2by - (a² - b² + p²) = 0
B.
x²+ y² - 3ax - 4by + (a² + b² - p²) = 0
C.
2ax + 2by - (a² + b² + p²) = 0
D.
x²+ y² - 2ax - 3by + (a² - b² - p²) = 0

VITEEE PCME Mock Test - 5 - Question 39

If vectors i-3j+2k, -i+2j represent the diagonals of a parallelogram, then its area is

A.
√21
B.
√21/2
C.
2√21
D.
3√21

VITEEE PCME Mock Test - 5 - Question 40

are three non coplanar vectors, then the value of the expression

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

VITEEE PCME Mock Test - 5 - Question 41

An A.C. source is connected to a resistance circuit. Then

A.
Current leads the voltage by $π ∕ 2$ rad
B.
Current and voltage are in phase
C.
Current lags behind the voltage by $π ∕ 2$ rad
D.
Current leads the voltage by $π$

VITEEE PCME Mock Test - 5 - Question 42

To a charged particle, which is moving with a constant initial velocity

\vec{V}

, a uniform magnetic field is applied in the direction of velocity; then

A.
The particle moves in spiral path
B.
The particle moves in circular path
C.
The particle moves in a parabolic path
D.
There is no change in the motion of particle

VITEEE PCME Mock Test - 5 - Question 43

Light of wave length λ and photon energy 2eV falling on a metal surface produces photoelectrons of maximum velocity V. If the λ is decreased by 25% and the maximum velocity of electron is doubled, the work function of the metal is (in eV)

A.
1.6
B.
1.8
C.
1.2
D.
1.5

VITEEE PCME Mock Test - 5 - Question 44

Of the following, the one that does not make use of chemical effect of electric current is

A.
electroplating
B.
electrotyping
C.
thermo electric refrigerator
D.
voltaic cells

VITEEE PCME Mock Test - 5 - Question 45

Consider telecommunication through optical fibres. Which of the following statements is not correct

A.
Optical fibres have extremely low transmission loss
B.
Optical fibres may have homogeneous core with a suitable cladding
C.
Optical fibres can be of graded refractive index
D.
Optical fibres are subject to electromagnetic interference from outside

VITEEE PCME Mock Test - 5 - Question 46

An insulator plate is passed between the plates of a capacitor. Then current

A.
first flows from A to B and then from B to A.
B.
first flows from B to A and then from A to B.
C.
always flows from B to A.
D.
always flows from A to B.

VITEEE PCME Mock Test - 5 - Question 47

Four identical cells each having an electromotive force (e.m.f.) of 12V, are connected in parallel. The resultant electromotive force (e.m.f.) of the combination is

A.
48 V
B.
12 V
C.
4 V
D.
3 V

VITEEE PCME Mock Test - 5 - Question 48

An electrical meter of internal resistance 20

Ω

gives a full scale deflection when one milliampere current flows through it. The maximum current, that can be measured by using three resistors of resistance 12

Ω

each, in milliamperes is

A.
10
B.
8
C.
6
D.
4

VITEEE PCME Mock Test - 5 - Question 49

Two identical cells of the same e.m.f. and same internal resistance give the same current through an external resistance 2 Ω, regardless of whether they are connected in series or parallel. The internal resistance of the cell is

A.
1 Ω
B.
2 Ω
C.
3 Ω
D.
4 Ω

VITEEE PCME Mock Test - 5 - Question 50

Two wires of the same material are given. The first wire is twice as long as the second and has twice the diameter of the second. The resistance of the first will be

A.
Twice of the second
B.
Half of the second
C.
Equal to the second
D.
Four times of the second

VITEEE PCME Mock Test - 5 - Question 51

Which of the following is true for photon

A.
E = hc/λ
B.
E = 1/2mu²
C.
P = E/2v
D.
E = 1/2mc²

VITEEE PCME Mock Test - 5 - Question 52

A choke coil has

A.
Low inductance and high resistance
B.
High inductance and low resistance
C.
High inductance and high resistance
D.
Low inductance and low resistance

VITEEE PCME Mock Test - 5 - Question 53

In an ideal inductor, L =4 H and ω=100 rad/s. The power developed is

A.
V₀ I₀
B.
V₀ I₀/2
C.
2 V₀ I₀
D.
Zero

VITEEE PCME Mock Test - 5 - Question 54

The energy stored in coil carrying current I s U. If current is halved, then energy stored in the coil will be

A.
u/2
B.
u/4
C.
2u
D.
4u

VITEEE PCME Mock Test - 5 - Question 55

Which is having minimum wavelength:

A.
X-rays
B.
Ultraviolet rays
C.
γ-rays
D.
cosmic rays

VITEEE PCME Mock Test - 5 - Question 56

If the electric flux entering and leaving an enclosed surface respectively is φ₁ and φ₂ , the electric charge inside the surface will be

A.
φ₂- φ₁ /ε₀
B.
φ₁+ φ₂ /ε₀
C.
φ₁- φ₂ /ε₀
D.
(φ_1 ^- φ₂)ε₀

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 56

Hint: Here, we have to apply gauss's law to find electric charge.

Solution:

We know that, electric flux ϕ1 (or electric field lines) entering in a closed surface is -ve and electric flux ϕ2 (or electric field lines) leaving a closed surface is +ve.

Hence, net electric flux through the closed surface,

ϕ=ϕ2−ϕ1

Now, according to Gauss' theorem, the net electric flux ϕ passing through a closed surface is equal to the 1/ε0 times of the total charge q, inside the surface.

Step1: Apply gauss's law

Given, Net electric flux, ϕ=(ϕ2−ϕ1)

ϕ=ε0qin

⇒qin=ε0ϕ

∴qin=(ϕ2−ϕ1)ε0

VITEEE PCME Mock Test - 5 - Question 57

Two charges -10 C and + 10 C are placed 10cm apart. Potential at the centre of the line joining two charges is

A.
zero
B.
2 V
C.
-2 V
D.
none of these

VITEEE PCME Mock Test - 5 - 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

VITEEE PCME Mock Test - 5 - Question 59

In C.G.S system the capacity of a spherical conductor is numerically equal to its

A.
Surface area
B.
Volume
C.
Radius
D.
Diameter

VITEEE PCME Mock Test - 5 - Question 60

A coil of n number of turns is wound tightly in the form of a spiral with inner and outer radii a and b respectively. When a current of strength I is passed through the coil, the magnetic field at its centre is

VITEEE PCME Mock Test - 5 - Question 61

If 1000 droplets each of charge q and radius r are mixed to form a big drop, then the potential of big drop, as compared to small droplet will be

A.
10 times
B.
100 times
C.
10⁶ times
D.
1000 times

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 61

If the value of potential on each small drop be V and potential on each small drop be V ^'
V ^' = n ^2/3 V
⇒ V ^' = 1000 ^2/3 V

VITEEE PCME Mock Test - 5 - Question 62

The masses of neutron, proton and deuteron in a.m.u are 1.00893 1.00813 and 2.01473 respectively. The packing fraction of the deuteron in a.m.u is

A.
11.65 x 10^-4
B.
23.5 x 10^-4
C.
73.6 x 10^-4
D.
47.15 x 10^-4

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 62

Packing fraction = (M - A)/A , where M is the atomic mass and A is the mass number.
P = M - A/A = (2.01473 - 2) /2 = 73.6 x 10^-4

VITEEE PCME Mock Test - 5 - Question 63

The nucleus finally formed in fusion of protons in proton-proton cycle is

A.
Helium
B.
Hydrogen
C.
Positron
D.
Neutron

VITEEE PCME Mock Test - 5 - Question 64

Which is not electromagnetic wave in the following?

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

VITEEE PCME Mock Test - 5 - Question 65

Graph of maximum kinetic energy of the photoelectrons against ν, the frequency of the incident radiation on the metal, is a straight line of slope equal to

A.
Work function
B.
Stopping potential
C.
h/e
D.
h

VITEEE PCME Mock Test - 5 - Question 66

Light of wavelength 4000Å is incident on a sodium surface for which the threshold wave length of photo-electrons is 5420Å. The work function of sodium is

A.
4.58 eV
B.
2.29 eV
C.
1.14 eV
D.
0.57 eV

VITEEE PCME Mock Test - 5 - Question 67

Capacitance of a capacitor becomes 7/6 times its original value if a dielectric slab of thickness, t = 2/3 d is introduced in between the plates. 'd' is the separation between the plates. The dielectric constant of the dielectric slab is

A.
14/11
B.
11/14
C.
7/11
D.
11/7

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 67

VITEEE PCME Mock Test - 5 - Question 68

A ray of light is incident on a plane mirror at an angle of 60⁰ . The angle of deviation produced by the mirror is

A.
120⁰
B.
30⁰
C.
60⁰
D.
90⁰

VITEEE PCME Mock Test - 5 - Question 69

In order to increase the angular magnification of a simple microscope, one should increase

A.
the object size.
B.
the aperture of the lens.
C.
the focal length of the lens.
D.
the power of the lens.

VITEEE PCME Mock Test - 5 - Question 70

In forward bias, in a p - n junction the potential barrier

A.
Decreases
B.
Increases
C.
Remains unchanged
D.
Becomes zero

VITEEE PCME Mock Test - 5 - Question 71

Transistor can be used as

A.
full wave rectifier
B.
half wave rectifier
C.
filter
D.
amplifier

VITEEE PCME Mock Test - 5 - Question 72

For a transistor the parameter β = 99. The value of the parameter α is

A.
0.9
B.
0.99
C.
1
D.
9

VITEEE PCME Mock Test - 5 - Question 73

In extrinsic semiconductors

A.
The conduction band and valence band overlap
B.
The gap between conduction band and valence band is more than 16 eV
C.
The gap between conduction band and valence band is near about 1 eV
D.
The gap between conduction band and valence band will be 100 eV and more.

VITEEE PCME Mock Test - 5 - Question 74

Bonding in a germanium crystal (semiconductor) is

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

VITEEE PCME Mock Test - 5 - Question 75

The cause of the potential barrier in a p-n diode is

A.
Depletion of positive charges near the junction
B.
Concentration of positive charges near the junction
C.
Depletion of negative charges near the junction
D.
Concentration of positive and negative charges near the junction

VITEEE PCME Mock Test - 5 - Question 76

At 0⁰K, fermi level for metals

A.
Separate, empty and filled levels
B.
Lies between filled levels
C.
Lies between empty levels
D.
Depends on metal

VITEEE PCME Mock Test - 5 - Question 77

In Young's double slit experiment, the width of the fringes obtained with light of wavelength 6000 Angstrom is 2.0mm. The fringe width, if the entire apparatus is immersed in a liquid of refractive index 1.33, will be

A.
1.5m
B.
1.5cm
C.
1.5mm
D.
1.5km

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 77

Fringe width in Young's double slit experiment β = Dλ/d
When apparatus is immersed in liquid, only wavelength of light (λ) changes
Wavelength of light is liquid,
λ' = λ/n , where n = refractive index of medium
Initial fringe width, β = Dλ/d .....(i)
Fringe width in liquid, β' = Dλ'/d .....(ii)
Dividing Equation (ii) by Equation (i), we get
β/ β = λ'/λ
or β'/β = λ n/λ = 1/n
or β' = β/n
The new fringe width, β' = 2.0/1.33 mm = 1.5 mm

VITEEE PCME Mock Test - 5 - Question 78

What is the effect on the interference fringes in a Young's double slit experiment, if the monochromatic source is replaced by another monochromatic source of shorter wavelength?

A.
Fringe width increases
B.
Fringe width decreases
C.
Interference pattern disappears
D.
No effect

VITEEE PCME Mock Test - 5 - Question 79

In the propagation of light waves, the angle between the direction of vibration and plane of polarisation is

A.
0⁰
B.
90⁰
C.
45⁰
D.
80⁰

VITEEE PCME Mock Test - 5 - Question 80

Both light and sound waves produce diffraction. It is more difficult to observe the diffraction with light waves because

A.
Light wave do not require medium
B.
Wavelength of light waves is far smaller
C.
Light waves are transverse
D.
Speed of light is far greater

VITEEE PCME Mock Test - 5 - Question 81

Acetaldehyde reacts with

A.
Electrophiles only
B.
Nucleophiles only
C.
Free radicals only
D.
Both electrophiles and nucleophiles

VITEEE PCME Mock Test - 5 - Question 82

Glycerol on heating with potassium bisulphate yields

A.
Acetone
B.
Acrolein
C.
Glyceraldehyde
D.
Propanol

VITEEE PCME Mock Test - 5 - Question 83

In Cannizzaro's reaction

A.
Aldehyde is converted into alcohol
B.
Alcohol is converted into aldehyde
C.
Primary amine is converted into isocyanide
D.
Aldehyde is converted into alcohol and sodium carboxylate

VITEEE PCME Mock Test - 5 - Question 84

Which of the following method is most appropriate for the manufacture of methane?

A.
By reduction of CH₂Cl₂
B.
Wurtz reaction
C.
Liquification of natural gas
D.
None of these

VITEEE PCME Mock Test - 5 - Question 85

Which of the following does not turn Schiff's reagent to pink?

A.
Formaldehyde
B.
Benzaldehyde
C.
Acetone
D.
Methyl chloride

VITEEE PCME Mock Test - 5 - Question 86

Ozonolysis of C₇H₁₄ gave 2-methyl-3-pentanone toluene. The alkene is

A.
2-Ethyl-3-methyl-1-butene
B.
3-Ethyl-2-methyl-3-butene
C.
2,5-Dimethyl-3, 4-dimethylhex-3-ene
D.
3-Ethyl-2-methyl-1-butene

VITEEE PCME Mock Test - 5 - Question 87

Which of the following is an electrophilic reagent?

A.
RO^-
B.
BF₃
C.
NH₃
D.
ROH

VITEEE PCME Mock Test - 5 - Question 88

The reaction, CH₂ = CH-CH₃ + HBr → CH₃CHBr - CH₃ is

A.
Nucleophilic addition
B.
Electrophilic substitution
C.
Electrophilic addition
D.
Free radical addition

VITEEE PCME Mock Test - 5 - Question 89

The energy stored in the cells of a living body is in the form of

A.
fats
B.
glucose
C.
ATP
D.
proteins

VITEEE PCME Mock Test - 5 - Question 90

Enzymes are made up of

A.
edible proteins
B.
proteins with specific structure
C.
nitrogen containing carbohydrates
D.
carbohydrates

VITEEE PCME Mock Test - 5 - Question 91

Which of the following substance when boiled with caustic soda evolve ammonia ?

A.
Acetamide
B.
Acetoxime
C.
Aniline
D.
Ethyl amime

VITEEE PCME Mock Test - 5 - Question 92

To become a carbohydrate a compound must contain at least

A.
2 carbons
B.
3 carbons
C.
4 carbons
D.
6 carbons

VITEEE PCME Mock Test - 5 - Question 93

Which salt can be produced by the reaction of carbon monoxide and caustic soda (NaOH)?

A.
CH₃COOH
B.
C₂H₂O₄
C.
HCOONa
D.
HCHO

VITEEE PCME Mock Test - 5 - Question 94

The acid showing salt like character in aqueous solutions is

A.
acetic acid
B.
benzoic acid
C.
formic acid
D.
α-aminoacetic acid

VITEEE PCME Mock Test - 5 - Question 95

A chemical reaction is catalyzed by a catalyst X. Hence X

A.
reduces enthalpy of the reaction
B.
decreases rate constant of reaction
C.
increases activation energy of the reaction
D.
does not affect equilibrium constant of the reaction

VITEEE PCME Mock Test - 5 - Question 96

A glass bulb is filled with NO₂ gas and immersed in an ice bath at 0^oC which becomes colourless after some time . This colourless gas will be

A.
NO₂
B.
N₂O
C.
N₂O₄
D.
N₂O₅

VITEEE PCME Mock Test - 5 - Question 97

Plants and living beings are the examples of

A.
open system
B.
closed system
C.
isolated system
D.
adiabatic system

VITEEE PCME Mock Test - 5 - Question 98

Medicine which is an antibiotic is

A.
Ampicillin
B.
Aspirin
C.
Calmpose
D.
Chloroquine

VITEEE PCME Mock Test - 5 - Question 99

In a closed insulated container a liquid is stirred with a paddle to increase the temperature. Which of the following is true

A.
∆E = W ≠ 0,q = 0
B.
∆E = W = q ≠ 0
C.
∆E =0, W = q ≠ 0
D.
W = 0, ∆E = q ≠ 0

VITEEE PCME Mock Test - 5 - Question 100

The compound having highest dipole moment is

VITEEE PCME Mock Test - 5 - Question 101

Identify the reaction in which the heat liberated corresponds to the heat of formation ( Δ H )

A.
C(diamond) + O₂ g → CO₂ g⁺ heat
B.
2H₂ g + O₂ g → 2 H₂O g + heat
C.
C(diamond) + 2H₂ g → CH₄ g + h e a t
D.
S(rhombic) + O₂ g → SO₂ g + h e a t

VITEEE PCME Mock Test - 5 - Question 102

[Cr(H₂O)₆]Cl₃(at no. of Cr=24) has a magnetic moment of 3.83 BM. The correct distribution of 3d electrons in the Chromium of the complex is

A.
3dxy¹, 3dyz¹, 3dz²¹
B.
(3dx²-y²)¹,(3dz²¹)3dxz¹
C.
3dxy¹,(3dx²-y²)¹3dxz¹
D.
3dxy¹(3dyz¹)3dxz¹

VITEEE PCME Mock Test - 5 - Question 103

Which of the following is produced by reaction of RCN in sodium and alcohol ?

A.
RCONH₂
B.
RCOO⁻NH₄⁺
C.
RCH₂NH₂
D.
R(CH₂)₃NH₂

VITEEE PCME Mock Test - 5 - Question 104

The indicator that is obtained by coupling the diazonium salt of sulphanilic acid with N,N-dimethylaniline is

A.
Phenanthroline
B.
Methyl orange
C.
Methyl red
D.
Indigo

VITEEE PCME Mock Test - 5 - Question 105

The correct structure of Fe(CO)₅ is (Z = 26 for Fe)

A.
Octahedral
B.
Tetrahedral
C.
Square pyramidal
D.
Trigonal pyramidal

VITEEE PCME Mock Test - 5 - Question 106

The cell potential of the following cell at 25 ⁰C (in volts) is
Pt , H₂ (1 atm) | H⁺ 0.01 M ∥ Cu²⁺ (0.1 M) | Cu (E^o Cu²⁺ ∕ Cu = + 0.337 V)

A.
0.308
B.
0.427
C.
-0.308
D.
0.337

VITEEE PCME Mock Test - 5 - Question 107

A smuggler could not carry gold by chemically depositing iron on the gold surface since

A.
gold is denser
B.
iron rusts
C.
gold has higher reduction potential than iron
D.
gold has lower reduction potential than iron

VITEEE PCME Mock Test - 5 - Question 108

The oxidation no. of nitrogen in NaNO₂ is

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

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 108

The formal oxidation state of the nitrogen atom in a nitrite is +3. This means that it is can be either oxidised to oxidation states +4 and +5 or reduced to oxidation states as low as -3.

VITEEE PCME Mock Test - 5 - Question 109

Microcosmic salt is

A.
Na(NH₄)HPO₄.4H₂O
B.
Na(NH₄).H₂O
C.
Na(NH₃)HPO₄.4H₂O
D.
K(NH₄)HPO₃.2H₂O

VITEEE PCME Mock Test - 5 - Question 110

Ether which is liquid at room temperature is

A.
C₂H₅OCH₃
B.
CH₃OCH₃
C.
C₂H₅OC₂H₅
D.
None

VITEEE PCME Mock Test - 5 - Question 111

A container contains 1 mole of a gas at 1 atm pressure and 27^oC, and its volume is 24.6 ltres. If pressure is 10 atm and temperature 327^oC, then new volume is approximately

A.
2 litre
B.
48 litre
C.
10 litre
D.
4.92 litre

VITEEE PCME Mock Test - 5 - Question 112

Percentage of lead in lead pencil is

A.
Zero
B.
20
C.
80
D.
70

VITEEE PCME Mock Test - 5 - Question 113

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

Detailed Solution for VITEEE PCME Mock Test - 5 - Question 113

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

VITEEE PCME Mock Test - 5 - Question 114

Oxidation state of Fe in Fe₃O₄ is

A.
2/3
B.
4/5
C.
5/4
D.
8/3

VITEEE PCME Mock Test - 5 - Question 115

Pick up the correct statement

A.
The ionic crystal of AgBr does not have Schottky defect
B.
The unit cell having crystal crystal parameters, a=b≠c,α=β=90^o,γ=120^ois hexagonal
C.
In ionic compounds having Frenkel defect, the ratio r⁺/r⁻ is high
D.
The coordination number of Na⁺ ion in NaCl is 4

VITEEE PCME Mock Test - 5 - Question 116

Which of the following is least basic ?

A.
NF₃
B.
NH₃
C.
NCl₃
D.
NI₃

VITEEE PCME Mock Test - 5 - Question 117

The isomers are

A.
Identical
B.
Diastereomers
C.
Enantiomers
D.
None of the above

VITEEE PCME Mock Test - 5 - Question 118

The catalytic activity of the transition metals and their compounds is ascribed to

A.
Their chemical reactivity
B.
Their magnetic behaviour
C.
Their unfilled d-orbitals
D.
Their ability to adopt multiple oxidation states and their complexing ability

VITEEE PCME Mock Test - 5 - Question 119

The separation of colloidal particles from those of molecular dimensions is called

A.
dialysis
B.
pyrolysis
C.
photolysis
D.
peptization

VITEEE PCME Mock Test - 5 - Question 120

The brown ring complex compounds is formulated as [Fe(H₂O)₅NO] SO₄. The oxidation state of iron is

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

VITEEE PCME Mock Test - 5 - Question 121

Find the Antonym of TIMID

A.
dashing
B.
outgoing
C.
bold
D.
chivalrous

VITEEE PCME Mock Test - 5 - Question 122

Find the Syonym of AFFLUENT

A.
Prosperous
B.
Poor
C.
Talkative
D.
Close

VITEEE PCME Mock Test - 5 - Question 123

Fill in the blank with appropriate word.
The Hubble Space Telescope will search for planets around other stars, a key to the..........for extra terrestrial life, and examine interstellar dust gases out of which stars are born.

A.
discovery
B.
perception
C.
quest
D.
enquiry

VITEEE PCME Mock Test - 5 - Question 124

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

The staff have felt ON EDGE since they heard the rumour about retrenchment.

A.
nervous
B.
unhappy
C.
disheartened
D.
scared

VITEEE PCME Mock Test - 5 - Question 125

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

It was indeed a shock for her, but she has LATER recovered from it.

A.
afterwards
B.
since
C.
then
D.
No improvement

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VITEEE PCME Mock Test - 5

125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 5

The rate of change of the volume of a sphere w.r.t. its surface area, when the radius is 2cm, is

A real value of x will satisfy the equation [((3 - 4 i x)/( 3 + 4i x))] = α - iβ ( α ,β real),if

Current leads the voltage by π ∕ 2 rad

Current and voltage are in phase

Current lags behind the voltage by π ∕ 2 rad

Current leads the voltage by π

The particle moves in spiral path

The particle moves in circular path

The particle moves in a parabolic path

There is no change in the motion of particle

electroplating

electrotyping

thermo electric refrigerator

voltaic cells

Optical fibres have extremely low transmission loss

Optical fibres may have homogeneous core with a suitable cladding

Optical fibres can be of graded refractive index

Optical fibres are subject to electromagnetic interference from outside

first flows from A to B and then from B to A.

first flows from B to A and then from A to B.

always flows from B to A.

always flows from A to B.

48 V

12 V

4 V

3 V

10

8

6

4

1 Ω

2 Ω

3 Ω

4 Ω

Twice of the second

Half of the second

Equal to the second

Four times of the second

Low inductance and high resistance

High inductance and low resistance

High inductance and high resistance

Low inductance and low resistance

V₀ I₀

V₀ I₀/2

2 V₀ I₀

Zero

u/2

u/4

2u

4u

X-rays

Ultraviolet rays

γ-rays

cosmic rays

zero

2 V

-2 V

none of these

Surface area

Volume

Radius

Diameter

Helium

Hydrogen

Positron

Neutron

Infrared rays

X - rays

γ - rays

Cathode rays

Work function

Stopping potential

h/e

h

4.58 eV

2.29 eV

1.14 eV

0.57 eV

A real value of x will satisfy the equation
[((3 - 4 i x)/( 3 + 4i x))] = α - iβ ( α ,β real),if

Current leads the voltage by $π ∕ 2$ rad

Current lags behind the voltage by $π ∕ 2$ rad

Current leads the voltage by $π$

$γ$ - rays