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VITEEE PCME Mock Test - 7


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125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 7

VITEEE PCME Mock Test - 7 for JEE 2023 is part of VITEEE: Subject Wise and Full Length MOCK Tests preparation. The VITEEE PCME Mock Test - 7 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 7 MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 7 below.
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VITEEE PCME Mock Test - 7 - Question 1

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. The rate at which the area increases, when the side is 10 cm is

VITEEE PCME Mock Test - 7 - Question 2

The area bounded by the parabola x = 4 − y2 and the y-axis, in square units is

VITEEE PCME Mock Test - 7 - Question 3

VITEEE PCME Mock Test - 7 - Question 4

The argument and modulus of [(1+i)/(1-i)] are respectively

VITEEE PCME Mock Test - 7 - Question 5

If a is real number such that | z − a i | = | z + a i | , then the locus of z is

VITEEE PCME Mock Test - 7 - Question 6

 for x ≠ 0, f 0 = 0, then f(x) at  x = 0 is

VITEEE PCME Mock Test - 7 - Question 7

If - 9 is the root of the equation , then other two roots are

VITEEE PCME Mock Test - 7 - Question 8

VITEEE PCME Mock Test - 7 - Question 9

Let f(x) = log |x - 1|, x ≠ 1. The value of f ′(1/2)      is

Detailed Solution for VITEEE PCME Mock Test - 7 - Question 9

VITEEE PCME Mock Test - 7 - Question 10

The order and degree of the differential equation (1 + 3dy/dx)2/3 = 4d3y/dx3 are

VITEEE PCME Mock Test - 7 - Question 11

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

VITEEE PCME Mock Test - 7 - Question 12

The general solution of the differential equation  is given by

VITEEE PCME Mock Test - 7 - Question 13

The differential equation of all circles which pass through (0,0) and having centre on y-axis, is

VITEEE PCME Mock Test - 7 - Question 14

VITEEE PCME Mock Test - 7 - Question 15

  then f'(1) is ?

VITEEE PCME Mock Test - 7 - Question 16

∫tan-1x dx =

VITEEE PCME Mock Test - 7 - Question 17

∫ tan5θ dθ =

VITEEE PCME Mock Test - 7 - Question 18

The domain of sin-1x is

VITEEE PCME Mock Test - 7 - Question 19

If f'(2) = 4 and f ' (1) = 2 then 

VITEEE PCME Mock Test - 7 - Question 20

The value of 

VITEEE PCME Mock Test - 7 - Question 21

If A and B are 2 x 2 matrices then (A+B)2=

VITEEE PCME Mock Test - 7 - Question 22

If A is singular matrix of order n, then a (adj A) equals,

VITEEE PCME Mock Test - 7 - Question 23

Reena says "The number I am thinking is divisible by 2 or it is divisible by 3". This statement is false if the number Reena is thinking of is

Detailed Solution for VITEEE PCME Mock Test - 7 - Question 23

This sentence contains the word "or" (disjunction).
A disjunction is only false if BOTH conditions are false.
The only number that is not divisble by 2 and is not divisible by 3 is 11.

VITEEE PCME Mock Test - 7 - Question 24

In an examination there are three objective questions and in each question there are 4 options. The number of ways in which any candidate may not give correct answers to all questions is

VITEEE PCME Mock Test - 7 - Question 25

Box A contains 2 black and 3 red balls, while box B contains 3 black and 4 red balls. Out of these two boxes one is selected at random, and the probability of choosing box A is double that of box B. If a red ball is drawn from the selected box then the probability that it has come from box B is

VITEEE PCME Mock Test - 7 - Question 26

If A and B are two events such that P(A)  = 1/4 , P(B) = 1/2 , P(A ∪ B) = 5/8 then P(A ∩ B)   =

VITEEE PCME Mock Test - 7 - Question 27

A card is taken out of a pack of 52 cards numbered 2 to 53. The probability that the number on the card is a prime number less than 20 is

VITEEE PCME Mock Test - 7 - Question 28

In ∆ABC, if cotA,cotB,cotC are in A.P., then a2,b2,c2 are in

VITEEE PCME Mock Test - 7 - Question 29

The most stable measure of central tendency is

VITEEE PCME Mock Test - 7 - Question 30

The harmonic mean of 4,8,16 is

VITEEE PCME Mock Test - 7 - Question 31

If the sum of first n terms of an A.P. is pn + qn2 where p and q are constants, then common difference of A.P. will be

Detailed Solution for VITEEE PCME Mock Test - 7 - Question 31

For the A.P.
Sn = pn + qn2
Now S1 = p x 1 + q(1)2
S1 = p x q ⇒ T1 = p + q
Also S2 = p x 2 + q(2)2
= 2p + 4q
We have T1 + T2 = 2p + 4q
or T2 = 2p + 4q - T1
or T2 = 2p + 4q - (p + q)
or T2 = p + 3q
Hence common difference = T2 - T1
= p + 3q - (p + q)
= p + 3q - p - q = 2q

VITEEE PCME Mock Test - 7 - Question 32

The solution of the equation x+(1/x)=2 is

VITEEE PCME Mock Test - 7 - Question 33

If the roots of x2+x+a=0 are greater than a, then

VITEEE PCME Mock Test - 7 - Question 34

The points (5,-4,2),(4,-3,1),(7,-6,4),(8,-7,5) are vertices of a

VITEEE PCME Mock Test - 7 - Question 35

If the planes x+2y+Kz=0 and 2x+y-2z=0 are at right angles, then the value of K is

VITEEE PCME Mock Test - 7 - Question 36

If α is a root of 25cos2θ + 5cosθ - 12 = 0, (π/2)<α<π, then sin2α is equal to

VITEEE PCME Mock Test - 7 - Question 37

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

VITEEE PCME Mock Test - 7 - Question 38

The equation of the parabola whose focus is (5, 3) and directrix is 3x - 4y + 1 = 0 is

VITEEE PCME Mock Test - 7 - Question 39

If the position vectors of C and B with respect to B and A are i+j, i-j respectively, the position vector of C with respect to A is

VITEEE PCME Mock Test - 7 - Question 40

A force of magnitude 5 units acting along the vector 2 î - 2 ĵ + k̂ displaces the point of application from (1, 2, 3) to (5, 3, 7), then the work done is

VITEEE PCME Mock Test - 7 - Question 41
The power factor of LCR circuit at resonance is
VITEEE PCME Mock Test - 7 - Question 42

The de-Broglie wavelength of a particle moving with a velocity 2 .25 x 108 m s-1 is equal to the wavelength of a photon. The ratio of kinetic energy of the particle to the energy of the photon is [ velocity of light = 3 x 108 m s-1  ]

Detailed Solution for VITEEE PCME Mock Test - 7 - Question 42

From Compton effect
λ = h/p = c/v [From de-Broglie wavelength]
c p = h v

VITEEE PCME Mock Test - 7 - Question 43
The penetrating power of X - rays increases with the
VITEEE PCME Mock Test - 7 - Question 44
Three different capacitors are connected in series. Then:
VITEEE PCME Mock Test - 7 - Question 45

The internal resistance of a primary cell is 4 Ω. It generates a current of 0.2 A in an external resistance of 21 Ω. The rate at which chemical energy is consumed in providing the current is

VITEEE PCME Mock Test - 7 - Question 46
A laser beam is used for carrying out surgery because it
Detailed Solution for VITEEE PCME Mock Test - 7 - Question 46 As the laser beam is highly monochromatic, directional and coherent, it can be sharply focussed.
Therefore it is used for carrying out surgery
VITEEE PCME Mock Test - 7 - Question 47
A 100 W, 200 V bulb is connected to a 160 volts supply. The actual power consumption would be
VITEEE PCME Mock Test - 7 - Question 48
An ammeter with internal resistance 90Ω reads 1.85 A when connected in a circuit containing a battery and two resistors 700Ω and 410Ω in series. Actual current will be
VITEEE PCME Mock Test - 7 - Question 49

A wire of length L is drawn such that its diameter is reduced to half of its original diameter. If the initial resistance of the wire were 10Ω, its new resistance would be

Detailed Solution for VITEEE PCME Mock Test - 7 - Question 49

VITEEE PCME Mock Test - 7 - Question 50
Keeping the length of the conductor constant, if the radius of the conductor is doubled, then its resistance becomes
VITEEE PCME Mock Test - 7 - Question 51

What will be the ratio of de Broglie wavelengths of proton and α-particle of same energy

Detailed Solution for VITEEE PCME Mock Test - 7 - Question 51

We know , mα = 2 mp

VITEEE PCME Mock Test - 7 - Question 52
The working of a dynamo is based on principle of
VITEEE PCME Mock Test - 7 - Question 53
Which of the following does not obey the phenomenon of mutual induction?
VITEEE PCME Mock Test - 7 - Question 54
The number of turns in the primary coil of a transformer is 200 and the number of turns in secondary coil is 10. If 240 V a.c. is applied to the primary, the output from secondary will be
VITEEE PCME Mock Test - 7 - Question 55
The ozone layer absorbs
VITEEE PCME Mock Test - 7 - Question 56
A charge is placed at the centre of a cube, the flux emitted through its one face is
VITEEE PCME Mock Test - 7 - Question 57
An electron of charge e coulomb passes through a potential difference of V volt. Its energy in joule will be
VITEEE PCME Mock Test - 7 - Question 58
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 - 7 - Question 59
A conducting sphere of radius 10 cm is charged with 10 μC. Another uncharged sphere of radius 20 cm in allowed to touch it for some time. If both the spheres are separated, then surface density of charges on the spheres will be in the ratio of
VITEEE PCME Mock Test - 7 - Question 60
A parallel plate capacitor is first charged and then a dielectric slab is introduced between the plates. The quantity that remains unchanged is
VITEEE PCME Mock Test - 7 - Question 61

A dielectric of thickness 5 cm and dielectric constant 10 is introduced in between the plates of a parallel plate capacitor having plate area 500 sq.cm and separation between plates 10 cm. The capacitance of the capacitor is ∈o = 8.8x10-12  SI unit

VITEEE PCME Mock Test - 7 - Question 62
A straight wire of length 0.5 meter and carrying a current of 1.2 ampere is placed in a uniform magnetic field of induction 2 telsa. The magnetic field is perpendicular to the length of the wire. The force on the wire is
VITEEE PCME Mock Test - 7 - Question 63
A chain reaction is fission of uranium is possible because
VITEEE PCME Mock Test - 7 - Question 64
The half life of a radioactive material depends on
VITEEE PCME Mock Test - 7 - Question 65
The element which does not exhibit radioactivity is
VITEEE PCME Mock Test - 7 - Question 66

The photoelectric work function for a metal surface is 4.125 eV. The cut off wavelength for this surface is

Detailed Solution for VITEEE PCME Mock Test - 7 - Question 66

Work function W0 = hc/λ
∴ λ = hc/Wo  = 12400/4.125 = 3000 Å

VITEEE PCME Mock Test - 7 - Question 67
Which of the following is not dependent on the intensity of incident radiation in a photoelectric experiment ?
VITEEE PCME Mock Test - 7 - Question 68

A man runs towards a mirror with a speed of 15 m-s-1. What is the speed of his image?

VITEEE PCME Mock Test - 7 - Question 69
Which of the following forms a perfect image free from all aberrations?
VITEEE PCME Mock Test - 7 - Question 70
A p-n junction is used as a/an
VITEEE PCME Mock Test - 7 - Question 71
A zener diode works on the principle of
VITEEE PCME Mock Test - 7 - Question 72
An n-p-n transistor having a.c. current gain of 50 is to be used to make an amplifier of power gain of 300. What will be the voltage gain of the amplifier?
VITEEE PCME Mock Test - 7 - Question 73
In a good conductor the energy gap between the conduction band and the valence band is
VITEEE PCME Mock Test - 7 - Question 74
In an n-type semiconductor, which of the following is true?
VITEEE PCME Mock Test - 7 - Question 75
When a semiconductor is heated, its resistance
VITEEE PCME Mock Test - 7 - Question 76
Wave optics is based on wave theory of light put forward by Huygen and modified later by
VITEEE PCME Mock Test - 7 - Question 77
The sun is rotating about is own axis. The spectral lines emitted from the two ends of its equator, for an observer on the earth, will show
VITEEE PCME Mock Test - 7 - Question 78
In a semiconductor, separation of energy gap between conduction and valence bands is of the order of
VITEEE PCME Mock Test - 7 - Question 79
The golden view of sea shell is due to
VITEEE PCME Mock Test - 7 - Question 80

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

VITEEE PCME Mock Test - 7 - Question 81

Which of the following does not give red ppt. with Fehling solution?

VITEEE PCME Mock Test - 7 - Question 82

Which of the following statements is correct regarding ease of dehydration?

VITEEE PCME Mock Test - 7 - Question 83

An aldehyde on oxidation gives

VITEEE PCME Mock Test - 7 - Question 84

The reaction/method that does not give an alkane is

VITEEE PCME Mock Test - 7 - Question 85

Which of the following compounds does not react with NaHSO₃?

VITEEE PCME Mock Test - 7 - Question 86

1-Butene may be converted to butane by reaction with

VITEEE PCME Mock Test - 7 - Question 87

Scurvy is caused due to the deficiency of vitamin

VITEEE PCME Mock Test - 7 - Question 88

The set of numerical coefficients that balances the chamical equation K₂CrO₄ + HCl → K₂Cr₂O₇ + KCl + H₂O

VITEEE PCME Mock Test - 7 - Question 89

Irrespective of the source, pure sample of water always yields 88.89% mass of oxygen and 11.11% mass of hydrogen. This is explained by the law of

VITEEE PCME Mock Test - 7 - Question 90

phospholipids are esters of glycerol with

VITEEE PCME Mock Test - 7 - Question 91

Enzymes, in the living systems

VITEEE PCME Mock Test - 7 - Question 92

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

VITEEE PCME Mock Test - 7 - Question 93

Formic acid when treated with H₂SO₄ gives

VITEEE PCME Mock Test - 7 - Question 94

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

VITEEE PCME Mock Test - 7 - Question 95

Vinegar made from cane sugar, now-a-days synthetically contains

VITEEE PCME Mock Test - 7 - Question 96

The rate, at which a substance reacts at constant temperature, depends upon its

VITEEE PCME Mock Test - 7 - Question 97

A liquid is in equilibrium with its vapour at its boiling point. The molecules in these two phases will have equal

VITEEE PCME Mock Test - 7 - Question 98

Which of the following is not correct?

VITEEE PCME Mock Test - 7 - Question 99

In which one the following reactions does the heat change represents the heat of formation of water

VITEEE PCME Mock Test - 7 - Question 100

The propellants in which fuel and oxidiser are allowed to combine at the time of combustion are

VITEEE PCME Mock Test - 7 - Question 101

Which of the following Fischer's projection formula is identical to D-glyceraldehyde ?

VITEEE PCME Mock Test - 7 - Question 102

If the pressure on a NaCl structure is increased, then its co-ordination number will

VITEEE PCME Mock Test - 7 - Question 103

The IUPAC name of [Cr(NH₃)₆]3+ is

VITEEE PCME Mock Test - 7 - Question 104

Alkyl cyanides are

VITEEE PCME Mock Test - 7 - Question 105

The colour of p-aminoazobenzene is

VITEEE PCME Mock Test - 7 - Question 106

If hydrogen electrode dipped into solution of pH = 3 and pH = 6 and salt bridge is connected the e.m.f. of resulting cell is

VITEEE PCME Mock Test - 7 - Question 107

The standard oxidation no. of the most electronegative element in the products of the reaction BaO2 and dil. H2SO4 is-

Detailed Solution for VITEEE PCME Mock Test - 7 - Question 107

Reaction between BaO2 and H2SO4 is
BaO2 + H2SO4 → BaSO4 + H2O2
The most electron negative element in products is oxygen
Oxidation no. of O in BaSO4 and H2O2 is -2 and -1 respectively

VITEEE PCME Mock Test - 7 - Question 108

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

VITEEE PCME Mock Test - 7 - Question 109

Standard electrode potentials are
Fe2+/Fe (Eo = -0.44 V)
Fe3+/Fe2+ (Eo = - 0.77 V)
Fe2+,Fe3+ and Fe blocks are kept together,then

VITEEE PCME Mock Test - 7 - Question 110

The rate of diffusion of methane at a given temperature is twice that of a gas X. The molecular weight of X is

VITEEE PCME Mock Test - 7 - Question 111

Nickel is purified by thermal decomposition of its

VITEEE PCME Mock Test - 7 - Question 112

Sodium hexametaphosphate is known as

VITEEE PCME Mock Test - 7 - Question 113

In the chemical reaction Ag₂O + H₂O + 2e- → 2Ag + 2OH-

VITEEE PCME Mock Test - 7 - Question 114

What is the catalyst used during the manufacture of nitric acid by Ostwald's method ?

VITEEE PCME Mock Test - 7 - Question 115

Silicon is an important constituent of

VITEEE PCME Mock Test - 7 - Question 116

The 8 : 8 type of packing is present in

VITEEE PCME Mock Test - 7 - Question 117

Bonding in ferric chloride is

VITEEE PCME Mock Test - 7 - Question 118

Number of optically active isomers of tartaric acid

VITEEE PCME Mock Test - 7 - Question 119

Which of the following is a hydrophilic colloidal sol?

VITEEE PCME Mock Test - 7 - Question 120

The metal which is not ferromagnetic is

VITEEE PCME Mock Test - 7 - Question 121

Find the antonym of BASE

VITEEE PCME Mock Test - 7 - Question 122

Fill in the blank with appropriate word.
The man is so ill that he can.........walk.

VITEEE PCME Mock Test - 7 - Question 123

Find the synonym of AUDACIOUS

VITEEE PCME Mock Test - 7 - Question 124

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

He cannot MAKE BOTH ENDS MEET.

VITEEE PCME Mock Test - 7 - Question 125

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

When the solider returned home after the war was over, his wife received him WITH OPEN HANDS.

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