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# VITEEE PCME Mock Test - 12

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## 125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 12

VITEEE PCME Mock Test - 12 for JEE 2023 is part of VITEEE: Subject Wise and Full Length MOCK Tests preparation. The VITEEE PCME Mock Test - 12 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 12 MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 12 below.
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VITEEE PCME Mock Test - 12 - Question 1

### If x = a (θ + sinθ), y = a(1 - cosθ), then at θ = π/2, the length of the normal is

VITEEE PCME Mock Test - 12 - Question 2

### Area bounded by parabola y2 = x and st.line 2 y = x is

VITEEE PCME Mock Test - 12 - Question 3
VITEEE PCME Mock Test - 12 - Question 4

If w= 1 and w ≠ 1, then (1 + w)(1 + w2)(1 + w4)(1 + w8) =

VITEEE PCME Mock Test - 12 - Question 5

If R → R is continuous such that f (x + y)   = f(x) + f(y), ∀ x ∈ R , y ∈ R , and f(1) = 2 then f(100) =

VITEEE PCME Mock Test - 12 - Question 6

The area of the curve |x|+|y|=4 is

VITEEE PCME Mock Test - 12 - Question 7

If α and β are real them

VITEEE PCME Mock Test - 12 - Question 8

If the function f is defined by f(x)   = x/1 + | x | then at what points is f differentiable

VITEEE PCME Mock Test - 12 - Question 9

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

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 9

( d/ dx )2 - x . dy/dx + y = 0
y = 2x - 4
∴ dy dx = 2
So, ( dy dx )2 - x . dy dx + y
= (2)2 - x x 2 + 2x - y
= 4 - 2x + 2x - y
= 0

VITEEE PCME Mock Test - 12 - Question 10

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 10

VITEEE PCME Mock Test - 12 - Question 11

The solution of the differential equation cos(x + y)dy = dx is

VITEEE PCME Mock Test - 12 - Question 12

(d2y/dx2)2 + x(dy/dx)2 is a differential equation of

VITEEE PCME Mock Test - 12 - Question 13

4[cot-13 + cosec-1(√5)] is equal to

VITEEE PCME Mock Test - 12 - Question 14

The solution of differential equation 2y sin x(dy/dx)=2 sinx cosx - y2 cosx; x=(π/2), y=1, is

VITEEE PCME Mock Test - 12 - Question 15

The function f(x) = x- 3x- 24x + 5 is increasing in the interval

VITEEE PCME Mock Test - 12 - Question 16

The value of  is equal to

VITEEE PCME Mock Test - 12 - Question 17

VITEEE PCME Mock Test - 12 - Question 18

If a , b , c are positive then

VITEEE PCME Mock Test - 12 - Question 19

then a =

VITEEE PCME Mock Test - 12 - Question 20

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 20

VITEEE PCME Mock Test - 12 - Question 21

The order of the matrix A is 3 x 5 and that of B is 2x3 . The order of the matrix BA is

VITEEE PCME Mock Test - 12 - Question 22

Which of the following is not a statement in logic ?
1. Earth is planet .
2. Plants are living object .
3. √-3 is rational number .
4. x2 - 5x + 6 < 0, where x ∈ − R

VITEEE PCME Mock Test - 12 - Question 23

If all the elements of a 3 x 3 matrix A are 1, then A2 → 3 A is

VITEEE PCME Mock Test - 12 - Question 24

How many words can be formed by taking letters 4 at a time out of letters of the word MATHEMATICS?

VITEEE PCME Mock Test - 12 - Question 25

A die is thrown 100 times. If getting an even number is considered a success, then the variance of the number of successes is

VITEEE PCME Mock Test - 12 - Question 26

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 - 12 - Question 27

Of cigarette smoking population 70% are men and 30% are women, 10% of these men and 20% of women smoke wills. Probability that a person seen smoking a wills to be male is

VITEEE PCME Mock Test - 12 - Question 28

If in any ∆ABC, a=(√3+1)cm and ∠B=300, ∠C=450, then the area of triangle is

VITEEE PCME Mock Test - 12 - Question 29

a, b, c are three unequal numbers such that a, b, c are in A.P. ; b - a, c - b, a are in G.P., then a : b : c : :

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 29

Since a, b, c are in A.P.,
∴ b - a = c - b
Also b - a, c - b, a are in G.P
∴ (c - b)2 = (b - a)a
⇒ (b - a)2 = (b - a)a
⇒ b - a = a
⇒ b = 2a
Also c = 2b - a = 2(2a) - a = 3a
∴ a : b : c = a : 2a : 3a = 1 : 2 : 3

VITEEE PCME Mock Test - 12 - Question 30

The median of 10, 14, 11, 9, 8, 12, 6 is

VITEEE PCME Mock Test - 12 - 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

VITEEE PCME Mock Test - 12 - Question 32

If the roots of 4x3  − 12x2 + 11 x + k = 0 are in A.P. then k =

VITEEE PCME Mock Test - 12 - Question 33

If the roots of the equation (2k+1)x2 - (7k-3)x+k+2=0 are reciprocal of each other, the value of k is

VITEEE PCME Mock Test - 12 - Question 34

A tetrahedron has vertices at O (0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C (-1, 1, 2). Then the angle between the faces OAB and ABC will be

VITEEE PCME Mock Test - 12 - Question 35

The equation of the sphere concentric with the sphere
x2 + y2 + z2 - 4x - 6y - 8z - 5 = 0 and which passes through the point (0, 1, 0) is

VITEEE PCME Mock Test - 12 - Question 36

If tan (cotx) = cot(tanx), then sin2x is equal to

VITEEE PCME Mock Test - 12 - Question 37

Locus of mid point of the portion between the axes of x cosα + y sinα = p where p is constant is

VITEEE PCME Mock Test - 12 - Question 38

Two tangents are drawn from the point (-2, -1) to the parabola y2 = 4x. If α is the angle between these tangents, then tan α =

VITEEE PCME Mock Test - 12 - Question 39

A unit vector perpendicular to each of the vectors (-6î+8k̂), (8î+6k̂) forming a right handed system is

VITEEE PCME Mock Test - 12 - Question 40

The projection of the vector î - 2 ĵ + k̂ on the vector 4 î - 4 ĵ + 7 k̂ is

VITEEE PCME Mock Test - 12 - Question 41

A circuit consists of a resistor, an inductor and a capacitor connected in series. If resistance of the resistor is 25 Ω and the value of inductive reactance is equal to capacitive reactance, then net impedance of the circuit will be

VITEEE PCME Mock Test - 12 - Question 42

The force experienced by the cathode rays when they pass through an electric field of intensity E → is

VITEEE PCME Mock Test - 12 - Question 43

In photo electric effect the stopping potential is

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 43

In the photoelectric effect is that the stopping potential is a function of the frequency of the incident light. As shown in Figure, there is even a cutoff frequency ν0 below which there is no photoelectric effect occurs, regardless of the intensity of the light.

A plot of stopping potential vs. frequency of incident light (Cathode: Sodium ; Cutoff frequency νo =4.39x 1014 Hz
Hence option (A) is correct.

VITEEE PCME Mock Test - 12 - Question 44

A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 44

The thickness of the foil is negligible

VITEEE PCME Mock Test - 12 - Question 45

For electroplating a spoon, it is placed in the voltameter at

VITEEE PCME Mock Test - 12 - Question 46

In short wave communication waves of which of the following frequencies will be reflected back by the ionospheric layer having electron density 1011 per m-3?

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 46

N max = 1011 per m-3

VITEEE PCME Mock Test - 12 - Question 47

Which statement is true ?
(i) Kirchhoff's law is not equally applicable to both AC and DC.
(ii) Semiconductors have a positive temperature coefficient of resistance.
(iii) Meter bridge is least sensitive when the resistance of all the four arms of the bridge are of the same order .
(iv) The emf of a cell depends upon the size and area of electrodes.

VITEEE PCME Mock Test - 12 - Question 48

The resistance of series combination of two equal resistances is S. When they are joined in parallel, the total resistance is P. If S=nP, then the possible value of n is

VITEEE PCME Mock Test - 12 - Question 49
The electrical resistance of a mercury column in a cylindrical container is R. When the same mercury is poured into another cylindrical container twice the radius of the first, then resistance of mercury column is
VITEEE PCME Mock Test - 12 - Question 50

A beam of electrons is moving with constant velocity in a region having electric and magnetic fields of strength 20 Vm-1 and 0.5 T at right angles to the direction of motion of the electrons. What is the velocity of the electrons ?

VITEEE PCME Mock Test - 12 - Question 51

The internal resistance of a cell is the resistance of

VITEEE PCME Mock Test - 12 - Question 52

A transformer is employed to

VITEEE PCME Mock Test - 12 - Question 53

The induced e.m.f. produced in the primary and secondary coils is 2 mV and 5 mV respectively. If the rate of change of current is 20 A-s-1, then coefficient of mutual induction of the secondary coil is

VITEEE PCME Mock Test - 12 - Question 54

A transformer is having 2100 turns in primary and 4200 turns in secondary. An a.c. source of 120 V, 10 A is connected to its primary. The secondary voltage and current are :

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 54

VITEEE PCME Mock Test - 12 - Question 55

Which of the following has the minimum frequency?

VITEEE PCME Mock Test - 12 - Question 56

Eight dipoles of charges of magnitude e are placed inside a cube. The total electric flux coming out of the cube will be

VITEEE PCME Mock Test - 12 - Question 57

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 - 12 - Question 58

Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p. If P is a point at a distance r from the centre of the dipole and the line joining centre to this point makes an angle θ with the axis of the dipole, then potential at the point P is given by

VITEEE PCME Mock Test - 12 - Question 59

An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will be

VITEEE PCME Mock Test - 12 - Question 60

A point charge Q is placed at a distance d from the centre of an uncharged conduction sphere of radius R. The potential of the sphere is d > R :

VITEEE PCME Mock Test - 12 - Question 61

A long solenoid has a radius a and number of turns per unit length is n. If it carries a current I, then the magnetic field on its axis is directly propotional to

VITEEE PCME Mock Test - 12 - Question 62
In a nuclear reactor, material used for control rods is
VITEEE PCME Mock Test - 12 - Question 63

When P1530 decays to become Si1430 the particle released is

VITEEE PCME Mock Test - 12 - Question 64

A body of capacity 4 μ F is charged to 80V and another body of capacity 6 μ F is charged to 30V. When they are connected the energy lost by 4 μ F is

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 64

E1 = 1/2 C1V2; E2 = 1/2 C2V2

VITEEE PCME Mock Test - 12 - Question 65
The photoelectric work function of a metal is 5 eV. Its threshold wavelength will be approximately
VITEEE PCME Mock Test - 12 - Question 66

If M(A;Z), M p and M n denote the masses of the nucleus Z A X , proton and neutron respectively in units of u (1u=931.5 MeV/C2) and BE represents its bonding energy in MeV, then

VITEEE PCME Mock Test - 12 - Question 67
Which one of the following is true in photoelectric emission
VITEEE PCME Mock Test - 12 - Question 68

When a beam of light is used to determine the position of an object, the maximum accuracy is achieved if the light is

VITEEE PCME Mock Test - 12 - Question 69

Fraunhofer spectrum is a

VITEEE PCME Mock Test - 12 - Question 70

When A is the internal stage gain of an amplifier and β is the feedback ratio, then the amplifier becomes as oscillator if

VITEEE PCME Mock Test - 12 - Question 71

In a common-base amplifier, the phase difference between the input signal voltage and output voltage is

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 71

A common-emitter amplifier is shown in the figure (A).
In this Circuit , the output signal is an amplified version of the input signal and is 180 degrees out of phase with the input signal.

Common emitter Amplifier

Common Base Amplifier

Figure (B) is a common-base amplifier. In this circuit the output signal is an amplified version of the input signal and is in phase with the input signal. In both of these circuits, the output signal is controlled by the base-to-emitter bias. As this bias changes (because of the input signal) the current through the transistor changes.

VITEEE PCME Mock Test - 12 - Question 72

In a P-N junction diode

VITEEE PCME Mock Test - 12 - Question 73

To obtain p - type extrinsic semiconductor, the impurity element to be added to Germanium should be of valence

VITEEE PCME Mock Test - 12 - Question 74

Which of the following statement is true about p-type semiconductors?

VITEEE PCME Mock Test - 12 - Question 75

When the conductivity of a semiconductor is only due to breaking of covalent bonds, the semiconductor is called

VITEEE PCME Mock Test - 12 - Question 76

In P-type semiconductor, there is

VITEEE PCME Mock Test - 12 - Question 77

Bright colours exihibited by spider's web exposed to sun light are due to

VITEEE PCME Mock Test - 12 - Question 78

When distance between source of light and observer decreases, then the apparent frequency of light

VITEEE PCME Mock Test - 12 - Question 79

Who was the first to demonstrate the phenomenon of interference of light?

VITEEE PCME Mock Test - 12 - Question 80

A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the first minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of slit is

VITEEE PCME Mock Test - 12 - Question 81

Which of the following compounds can exist in optically active form?

VITEEE PCME Mock Test - 12 - Question 82

Treatment of furfural with NaOH yields

VITEEE PCME Mock Test - 12 - Question 83

When acetaldehyde is treated with Fehling's solution, the following precipitate is formed

VITEEE PCME Mock Test - 12 - Question 84

Wurtz reaction involves the interaction of alkyl halides in dry ether with

VITEEE PCME Mock Test - 12 - Question 85

Carbonyl compounds undergo nucleophilic addition because of

VITEEE PCME Mock Test - 12 - Question 86

1-Butene may be converted to butane by reaction with

VITEEE PCME Mock Test - 12 - Question 87

The number of atoms contained in 11.2 L of SO₂ at S.T.P. are

VITEEE PCME Mock Test - 12 - Question 88

The most stable free radical among the following is

VITEEE PCME Mock Test - 12 - Question 89

Which carbohydrate is used in silvering of mirrors?

VITEEE PCME Mock Test - 12 - Question 90

Which amino acid is achrial?

VITEEE PCME Mock Test - 12 - Question 91

Cane sugar on hydrolysis gives

VITEEE PCME Mock Test - 12 - Question 92

Melting points are normally the highest for

VITEEE PCME Mock Test - 12 - Question 93

From the following values of dissociation constants of four acids which value represents the strongest acid ?

VITEEE PCME Mock Test - 12 - Question 94

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

VITEEE PCME Mock Test - 12 - Question 95

A reversible reaction is said to have attained equilibrium, when

VITEEE PCME Mock Test - 12 - Question 96

A reaction reaches a state of chemical equilibrium only when

VITEEE PCME Mock Test - 12 - Question 97

100cc of 0.1M HCl and 100cc of 0.1 M NaOH solutions are mixed in a calorimeter. If the heat liberated is 'Q' kcal, the heat of neutralization ( Δ H ) (in kcal) of HCl(aq) and NaOH(l) is

VITEEE PCME Mock Test - 12 - Question 98

Which of the following is an extensive property?

VITEEE PCME Mock Test - 12 - Question 99

What is the amount of heat liberated (in k.cal) when one mole of aquesous NaOH reacted with one mole of aqueous HCl solution?

VITEEE PCME Mock Test - 12 - Question 100

Synthetic detergents are sodium salts of long chain

VITEEE PCME Mock Test - 12 - Question 101

A chiral compound is

VITEEE PCME Mock Test - 12 - Question 102

In the compound lithium tetrahydroaluminate, the ligands are

VITEEE PCME Mock Test - 12 - Question 103

In Fe(CO)5 , the Fe ---- C bond possesses

VITEEE PCME Mock Test - 12 - Question 104

Diazo coupling is useful to prepare

VITEEE PCME Mock Test - 12 - Question 105

In the presence of acid, the hydrolysis of methyl cyanide gives

VITEEE PCME Mock Test - 12 - Question 106

The equivalent conductivity of 0.1 M weak acid is 100 times less than that at infinite dilution.The degree of dissociation is

VITEEE PCME Mock Test - 12 - Question 107

A current liberates 0.504 g of hydrogen in 2 hours, the amount of copper liberated from a solution of CuSO₄ by the same current flowing for the same time would be

VITEEE PCME Mock Test - 12 - Question 108

VITEEE PCME Mock Test - 12 - Question 109

Which of the following statements is incorrect?

VITEEE PCME Mock Test - 12 - Question 110

Ether which is liquid at room temperature is

VITEEE PCME Mock Test - 12 - Question 111

Which of the following is most dense?

VITEEE PCME Mock Test - 12 - Question 112

The internal energy of one mole of an ideal gas is given by

VITEEE PCME Mock Test - 12 - Question 113

A crystal lattice with alternate positive and negative ions has radius ratio 0.524. Its coordination number is

Detailed Solution for VITEEE PCME Mock Test - 12 - Question 113

Radius ratio of the given crystal lattice is in the range of 0.414 - 0.732. So the coordination number is 6.

VITEEE PCME Mock Test - 12 - Question 114

Oxidation state of + 1 for P is found in

VITEEE PCME Mock Test - 12 - Question 115

While phosphorus forms PCl5, nitrogen does not form NCl5 because

VITEEE PCME Mock Test - 12 - Question 116

Which acts as both oxidising as well as reducing agent ?

VITEEE PCME Mock Test - 12 - Question 117

Collodial solution of arsenious sulphide is prepared by

VITEEE PCME Mock Test - 12 - Question 118

Following configuration of the tartaric acid represents

VITEEE PCME Mock Test - 12 - Question 119

The + 3 ion of which one of the following has half-filled 4f subshell ?

VITEEE PCME Mock Test - 12 - Question 120

An important ore of copper is

VITEEE PCME Mock Test - 12 - Question 121

Find the Antonym of TACTFUL

VITEEE PCME Mock Test - 12 - Question 122

Fill in the blank with appropriate word.
I.......missed the train this morning as I got up late

VITEEE PCME Mock Test - 12 - Question 123

Find the synonym of OBSTREPEROUS

VITEEE PCME Mock Test - 12 - Question 124

Fill in the blanks with the most suitable idiom/phrase.

Let us now _____ and work for the advancement of the country .

VITEEE PCME Mock Test - 12 - Question 125

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

Let's buy a new sari with the annual bonus, CAN WE ?

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