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VITEEE PCME Mock Test - 11


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125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 11

VITEEE PCME Mock Test - 11 for JEE 2023 is part of VITEEE: Subject Wise and Full Length MOCK Tests preparation. The VITEEE PCME Mock Test - 11 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 11 MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 11 below.
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VITEEE PCME Mock Test - 11 - Question 1

With a given surface area, the volume of a right circular cylinder will be maximum if height is

VITEEE PCME Mock Test - 11 - Question 2

The smaller area enclosed by the circle x2 + y2 = 9 and the line x = 1 is

VITEEE PCME Mock Test - 11 - Question 3

The function f(x) = tan x/x for x ≠ 0 ; f (0) = 1 at x = 0 is

VITEEE PCME Mock Test - 11 - Question 4

If n is not a multiple of 3 then ωn + ω2n =

VITEEE PCME Mock Test - 11 - Question 5

If 1 , ω , ω2  , … ωn-1 are the n, nth roots of unity and z1 and z2 are any two, complex numbers, then 

VITEEE PCME Mock Test - 11 - Question 6

VITEEE PCME Mock Test - 11 - Question 7

VITEEE PCME Mock Test - 11 - Question 8

VITEEE PCME Mock Test - 11 - Question 9

For solving dy/dx=4x+y+1 suitable substitution is

VITEEE PCME Mock Test - 11 - Question 10

The solution of the equation cosx cosy (dy/dx)=-sinx siny is

VITEEE PCME Mock Test - 11 - Question 11

The differential equation of family of lines which passes (1,-1) is

VITEEE PCME Mock Test - 11 - Question 12

If f : R → R is defined by f x = 2 x + | x | then f (3x) − f (-x)   − 4 x =

VITEEE PCME Mock Test - 11 - Question 13

VITEEE PCME Mock Test - 11 - Question 14

If f(x)   = e -1/x2 , x ≠ 0, and f(0) = 0 then f ′(0)    is

Detailed Solution for VITEEE PCME Mock Test - 11 - Question 14

VITEEE PCME Mock Test - 11 - Question 15

y = A e+ B e2x + C e3x  satisfies the diferential equation

VITEEE PCME Mock Test - 11 - Question 16

∫logx dx =

Detailed Solution for VITEEE PCME Mock Test - 11 - Question 16

 

= x log x − ∫ d x + c
= x log x − x + c

VITEEE PCME Mock Test - 11 - Question 17

∫[(1)/(4x2+9)]dx =

VITEEE PCME Mock Test - 11 - Question 18

If sin-1x − cos-1x = π/6 , then x =

VITEEE PCME Mock Test - 11 - Question 19

VITEEE PCME Mock Test - 11 - Question 20

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

VITEEE PCME Mock Test - 11 - Question 21

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

VITEEE PCME Mock Test - 11 - Question 22

∼ [ p ∧ q → ∼ p ∨ q ] is

VITEEE PCME Mock Test - 11 - Question 23

In how many ways can 4 boys and 3 girls be seated in a row of 7 chairs if the boys and girls alternate?

VITEEE PCME Mock Test - 11 - Question 24

If A is a non-singular, then adj A is

VITEEE PCME Mock Test - 11 - Question 25

When two dice are thrown, the probability of getting the sum 10 or 11 is

VITEEE PCME Mock Test - 11 - Question 26

A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. The probability that it is actually a six is

VITEEE PCME Mock Test - 11 - Question 27

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is

VITEEE PCME Mock Test - 11 - Question 28

In a Δ A B C , 2s = perimeter and R = circumradius. Then s/R is equal to

Detailed Solution for VITEEE PCME Mock Test - 11 - Question 28

 = sin A + sin B + sin C .

 

VITEEE PCME Mock Test - 11 - Question 29

If m is a root of the equation (1 - ab) x2 - (a2 + b2)x - (1 + ab) = 0, and m harmonic means are inserted between a and b, then the difference between the last and the first of the means equals

VITEEE PCME Mock Test - 11 - Question 30

The coefficient of correlation r satisfies

VITEEE PCME Mock Test - 11 - Question 31

The roots of the equation (q-r)x+ (r-p)x + (p-q)=0 are

VITEEE PCME Mock Test - 11 - Question 32

The harmonic mean of 4,8,16 is

VITEEE PCME Mock Test - 11 - Question 33

If α , β , γ are the roots of x3 − 2 x2 + 3x − 4 = 0, then the value of α 2β2 + β2γ2+ γ2α 2 is

VITEEE PCME Mock Test - 11 - Question 34

The distance between the parallel planes x + 2y - 3z = 2 and 2x + 4y - 6z + 7 = 0 is

VITEEE PCME Mock Test - 11 - Question 35

Lines OA, OB are drawn from 0 with directions cosines proportional to < 1, -2, -1 > ans < 3, -2, 3 > respectively. The direction ratios of the normal to the plane AOB are

VITEEE PCME Mock Test - 11 - Question 36

If 5cos2θ+2cos2(θ/2)+1=0, -π<θ<π, then θ=

VITEEE PCME Mock Test - 11 - Question 37

If the straight lines x = 1 + s, y = -3 - λs, z = 1 + λs and x = t/2, y = 1 + t, z = 2 - t, with parameters s and t respectively, are co-planar, then λ equals

VITEEE PCME Mock Test - 11 - Question 38

The equation of the parabola whose focus is (1,-1)and directrix is x + y + 7 = 0 is

VITEEE PCME Mock Test - 11 - Question 39

A force of magnitude 5 units along the vector 2 î − 2j^ + k^  displaces the point of application from (1,2,3) to (5,3,7), then the work done is

VITEEE PCME Mock Test - 11 - Question 40

If axb = cxb = 0, then

VITEEE PCME Mock Test - 11 - Question 41

The time constant of an LR circuit represents the time in which the current in the circuit

VITEEE PCME Mock Test - 11 - Question 42

The work function of Potassium is 2.0 eV. When it is illuminated by light of wavelength 3300 A0 photoelectrons are emitted. The stopping potential of photoelectrons is

Detailed Solution for VITEEE PCME Mock Test - 11 - Question 42

λ = 3300 A0 = 330 nm
hu = 1240 330 = 3.757
eV0 = hu - W = 3.757 - 2 = 1.757eV
⇒ V0 = 1.757 V

VITEEE PCME Mock Test - 11 - Question 43

X - rays are

VITEEE PCME Mock Test - 11 - Question 44

Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be:

VITEEE PCME Mock Test - 11 - Question 45

The electrochemical equivalent of magnesium is 0.126 mg/C. A current of 5 A is passed in a suitable solution for one hour. The mass of the magnesium deposited will be

VITEEE PCME Mock Test - 11 - Question 46

Optical fibres uses the phenomenon of

VITEEE PCME Mock Test - 11 - Question 47

If the resistance of a conductor is 5 Ω at 50oC and 7 Ω at 100oC, then the mean temperature coefficient of resistance of the material is

VITEEE PCME Mock Test - 11 - Question 48

The electric intensity E, current density j and specific resistance k are related to each other by the relation

VITEEE PCME Mock Test - 11 - Question 49

In an experiment to measure the internal resistance of a cell, by a potentiometer, it is found that the balance point is at a length of 2 m, when the cell is shunted by a 5 Ω resistance and is at a length of 3m when the cell is shunted by a 10 Ω resistance. The internal resistance of the cell is

VITEEE PCME Mock Test - 11 - Question 50

Two resistances R₁ and R₂ are made of different materials. The temperature coefficient of the material of R₁ is α and of the material of R₂ is −β. The resistance of the series combination of R₁ and R₂ will not change with temperature, if R₁/R₂ equals

VITEEE PCME Mock Test - 11 - Question 51

Gases begin to conduct electricity at low pressure because

VITEEE PCME Mock Test - 11 - Question 52

The primary and secondary coils of a transformer have 50 and 1500 turns respectively. If the magnetic flux φ linked with the primary coil is given by φ = φ 0 + 4t, where φ is in weber, t is time in second and φ 0 is a constant, the output voltage across the secondary coil is

Detailed Solution for VITEEE PCME Mock Test - 11 - Question 52

No. of turns across primary Np = 50
Number of turns across secondary Ns = 1500
Magnetic flux linked with primary, Φ = Φ0 + 4t
∴ Voltage across the primary,
Vp = dΦ /dt = d/dt (Φ0 + 4t) = 4 volt
Aslo, Vs /Vp = Ns /Np
∴ Vs = ( 1500/50 ) x 4 = 120 V

VITEEE PCME Mock Test - 11 - Question 53

At resonance, in a series LCR circuit, which relation does not hold

VITEEE PCME Mock Test - 11 - Question 54
Maxwell in his famous equation of electromagnetism introduced the concept of
VITEEE PCME Mock Test - 11 - Question 55

A solenoid of length 20 cm area of cross-section 4 cm2 and having 4000 turns is placed inside another solenoid of 2000 turns having a cross-section area 8 cm2 and length 10 cm. The mutual inductance of the system is

VITEEE PCME Mock Test - 11 - Question 56

A charge is placed at the centre of a cube, the flux emitted through its one face is

VITEEE PCME Mock Test - 11 - Question 57

A hollow metal sphere of radious 10 cm is charged such that the potential on its surface is 80V. The potential at the centre of the sphere is

VITEEE PCME Mock Test - 11 - Question 58

Two equal charges, q each are placed at a distance of 2a, and a third charge -2q is placed at the mid point. The potential energy of the system is

VITEEE PCME Mock Test - 11 - Question 59

The capacities of three capacitors are in ratio 1 : 2 : 3. Their equivalent capacity when connected in parallel is 60/11 μ F more than that when they are connected in series. The individual capacities of capacitors in μ F are

VITEEE PCME Mock Test - 11 - Question 60

Two insulated matallic spheres of 3 μ F and 5 μ F are charged to 300V and 500V respectively. The energy loss when they are connected by a wires is...

VITEEE PCME Mock Test - 11 - Question 61

Half life period of lead is

VITEEE PCME Mock Test - 11 - Question 62

A long copper pipe carries a current. Then the magnetic field is

VITEEE PCME Mock Test - 11 - Question 63

In the following reaction the energy released is 4 1H1 → 2He4  + 2 +1e0 + energy

VITEEE PCME Mock Test - 11 - Question 64

An infinite number of identical capacitors, each of capacitance 1 μ F, are connected as in the figure. The equivalent capacitance between 'A' and 'B' is

Detailed Solution for VITEEE PCME Mock Test - 11 - Question 64

Rows contain capacitors 1, 1/2 , 1/4 , 1/8 ... μF
All in parallel. Therefore effective capacity
C = 1 + 1/2 + 1/4 + 1/16 + ...
It is a Geometrical progression with common ratio 1/2
So C = 1/(1 - 1/2 ) = 2 μF

VITEEE PCME Mock Test - 11 - Question 65

When P1530  decays to become Si1430 the particle released is

VITEEE PCME Mock Test - 11 - Question 66

When the light source is kept 20 cm away from a photocell, stopping potential is 0.6 V is obtained. When the source is kept 40 cm away, the stopping potential will be

VITEEE PCME Mock Test - 11 - Question 67

The slope of frequency of incident light and stopping potential for a given surface will be

VITEEE PCME Mock Test - 11 - Question 68

Continuous emission spectrum is also called

VITEEE PCME Mock Test - 11 - Question 69

Rainbow is due to

VITEEE PCME Mock Test - 11 - Question 70

The potential in the depletion layer is due to

VITEEE PCME Mock Test - 11 - Question 71

In an n-p-n transistor, p-acts as a/an

VITEEE PCME Mock Test - 11 - Question 72

In a n-p-n transistor amplifier, the collector current is 9 mA. If 90% of the electron from the emitter reach the collector, then

VITEEE PCME Mock Test - 11 - Question 73

The band gap in Germanium and silicon in eV respectively is

VITEEE PCME Mock Test - 11 - Question 74

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

VITEEE PCME Mock Test - 11 - Question 75

In the forward bias arrangement of a p-n junction diode

VITEEE PCME Mock Test - 11 - Question 76

A p-type semiconductor is

VITEEE PCME Mock Test - 11 - Question 77

The penetration of light into the region of geometrical shadow is called

VITEEE PCME Mock Test - 11 - Question 78

When a source is linear, the wavefront is

VITEEE PCME Mock Test - 11 - Question 79

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?

VITEEE PCME Mock Test - 11 - Question 80

Which of the following property of light waves is not observed in sound waves?

VITEEE PCME Mock Test - 11 - Question 81

2R ― OH + 2Na → 2RONa + H₂. In the above reaction the reactivity of different alcohols is

VITEEE PCME Mock Test - 11 - Question 82

Formaldehyde +NH₃→Y. The product of Y is

VITEEE PCME Mock Test - 11 - Question 83

The reagent SnCl₂/HCl is used in

VITEEE PCME Mock Test - 11 - Question 84

A compound A has molecular formula C₂Cl₃OH. It reduce Fehling's solution and on oxidation gives a monocarboxylic acid B. A is obtained by the action of Cl₂ on ethyl alcohol. A is

VITEEE PCME Mock Test - 11 - Question 85

1-Butene may be converted to butane by reaction with

VITEEE PCME Mock Test - 11 - Question 86

To which of the following four types does this reaction belong? B- + R - A → B - R + A-

VITEEE PCME Mock Test - 11 - Question 87

A compound possesses 8% sulphur by mass. The least molecular mass is

VITEEE PCME Mock Test - 11 - Question 88

The reaction/method that does not give an alkane is

VITEEE PCME Mock Test - 11 - Question 89

Enzymes belong to the class of compounds

VITEEE PCME Mock Test - 11 - Question 90

Oxytocin is

VITEEE PCME Mock Test - 11 - Question 91

Self condensation of two moles of ethyl acetate in presence of sodium ethoxide yields

VITEEE PCME Mock Test - 11 - Question 92

An example of water soluble vitamin is

VITEEE PCME Mock Test - 11 - Question 93

The acid showing salt like character in aqueous solutions is

VITEEE PCME Mock Test - 11 - Question 94

Reaction of acids with alcohols is also known as

VITEEE PCME Mock Test - 11 - Question 95

If a mixture containing 3 moles of hydrogen and 1 mole of nitrogen is converted completely into ammonia, the ratio of volumes of reactants and products at the same temperature and pressure would be

Detailed Solution for VITEEE PCME Mock Test - 11 - Question 95

3H2 + N2 → 2NH3
∴ 3V 1V → 2V
Total initial volume = 3V + 1V = 4V
Final volume = 2V
Hence, ratio of initial and final volume will be 2 : 1

VITEEE PCME Mock Test - 11 - Question 96

The equilibrium constant for the following reaction will be 3 A + 2 B → C

VITEEE PCME Mock Test - 11 - Question 97

A system is said to be in thermodynamic equilibrium when it is in

VITEEE PCME Mock Test - 11 - Question 98

The heats of dissociation (k.cals/mole) of methane and ethane are 360 and 620 respectively. From these, C - C bond energy (k.cals/mole) in ethane can be evaluated as

VITEEE PCME Mock Test - 11 - Question 99

If the enthalpy of vaporisation of water is 186.5 J mol-1, the entropy of its vaporisation will be

VITEEE PCME Mock Test - 11 - Question 100

Amoxillin is semi-synthetic modification of

VITEEE PCME Mock Test - 11 - Question 101

The outer orbital hybridisation is involved in

VITEEE PCME Mock Test - 11 - Question 102

The IUPAC name of (CH₃)₂CHCH₃ is

VITEEE PCME Mock Test - 11 - Question 103

An electrolyte

VITEEE PCME Mock Test - 11 - Question 104

Which of the following reagent can be used to convert benzene diazonium chloride into benzene ?

VITEEE PCME Mock Test - 11 - Question 105

Aromatic nitriles (ArCN) are not prepared by

Detailed Solution for VITEEE PCME Mock Test - 11 - Question 105

In Ar-X (Aryl halides) C-X bond has partial double bond character and hence is difficult to break.

VITEEE PCME Mock Test - 11 - Question 106

Hybridization of Fe in K₃Fe(CN)₆ is

VITEEE PCME Mock Test - 11 - Question 107

Conductivity (Unit:siemen's S) is directly proportionally to the area of the vessel and the concentration of the solution in it and is inversely proportional to the length of vessel,then the unit of constant of proportionally is

VITEEE PCME Mock Test - 11 - Question 108

When the densities of the ore particles and gangue particles are different, then the ore is concentrated by

VITEEE PCME Mock Test - 11 - Question 109

White lead is

VITEEE PCME Mock Test - 11 - Question 110

A gas a diffuses 5 times faster than gas B. Density of A compared with B is

VITEEE PCME Mock Test - 11 - Question 111

The pH of aqueous KCl solution is 7.0. This solution was electrolysed for a few seconds using Pt electrodes. Which of the following is correct?

VITEEE PCME Mock Test - 11 - Question 112

Heating of methyl phenyl ether with HI gives

VITEEE PCME Mock Test - 11 - Question 113

Which of the following reacts rapidly with oxygen in air at ordinary temperature

VITEEE PCME Mock Test - 11 - Question 114

Adsorption due to strong chemical forces is called

VITEEE PCME Mock Test - 11 - Question 115

In crystal structure of sodium chloride, the arrangement of Cl- ions is

VITEEE PCME Mock Test - 11 - Question 116

Which one of the following is used in the industrial preparation of nitric acid by Ostwald's process ?

VITEEE PCME Mock Test - 11 - Question 117

Which of the following is not a redox reaction?

VITEEE PCME Mock Test - 11 - Question 118

Which is the correct statement for major product?

VITEEE PCME Mock Test - 11 - Question 119

Transition metals mostly are

VITEEE PCME Mock Test - 11 - Question 120

Bell metal is an alloy of

VITEEE PCME Mock Test - 11 - Question 121

Find the Antonym of FLEXIBLE

VITEEE PCME Mock Test - 11 - Question 122

Find the Syonym of AMBITION

VITEEE PCME Mock Test - 11 - Question 123

Fill in the blank with appropriate word.
The twins are so alike that I cannot.......one from the other.

VITEEE PCME Mock Test - 11 - Question 124

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

The old man CUT TO THE QUICK when his rich son refused to recognise him.

VITEEE PCME Mock Test - 11 - Question 125

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

After a few minutes the unconscious boxer began to come OUT.

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