VITEEE PCME Mock Test - 12


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


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This mock test of VITEEE PCME Mock Test - 12 for JEE helps you for every JEE entrance exam. This contains 125 Multiple Choice Questions for JEE VITEEE PCME Mock Test - 12 (mcq) to study with solutions a complete question bank. The solved questions answers in this VITEEE PCME Mock Test - 12 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this VITEEE PCME Mock Test - 12 exercise for a better result in the exam. You can find other VITEEE PCME Mock Test - 12 extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

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

Solution:
QUESTION: 2

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

Solution:
QUESTION: 3

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QUESTION: 4

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

Solution:
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) =

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QUESTION: 6

If α and β are real them 

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QUESTION: 7

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

Solution:
QUESTION: 8

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

Solution:
QUESTION: 9

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

Solution:

( 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

QUESTION: 10

Solution:

QUESTION: 11

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

Solution:
QUESTION: 12

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

Solution:
QUESTION: 13

4[cot-13 + cosec-1(√5)] is equal to

Solution:
QUESTION: 14

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

Solution:
QUESTION: 15

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

Solution:
QUESTION: 16

The value of  is equal to

Solution:
QUESTION: 17

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QUESTION: 18

If a , b , c are positive then

Solution:
QUESTION: 19

 then a =

Solution:
QUESTION: 20

Solution:

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

Solution:
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

Solution:
QUESTION: 23

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

Solution:
QUESTION: 24

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

Solution:
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

Solution:
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

Solution:
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

Solution:
QUESTION: 28

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

Solution:
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 : :

Solution:

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

QUESTION: 30

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

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

Solution:
QUESTION: 32

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

Solution:
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

Solution:
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

Solution:
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

Solution:
QUESTION: 36

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

Solution:
QUESTION: 37

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

Solution:
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 =

Solution:
QUESTION: 39

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

Solution:
QUESTION: 40

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

Solution:
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

Solution:
QUESTION: 42

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

Solution:
QUESTION: 43

In photo electric effect the stopping potential is

Solution:

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.

QUESTION: 44

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

Solution:

The thickness of the foil is negligible

QUESTION: 45

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

Solution:
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?

Solution:

N max = 1011 per m-3

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.

Solution:
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

Solution:
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
Solution:
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 ?

Solution:
QUESTION: 51

The internal resistance of a cell is the resistance of

Solution:
QUESTION: 52

A transformer is employed to

Solution:
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

Solution:
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 :

Solution:

  

QUESTION: 55

Which of the following has the minimum frequency?

Solution:
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

Solution:
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

Solution:
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

Solution:
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

Solution:
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 :

Solution:
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

Solution:
QUESTION: 62
In a nuclear reactor, material used for control rods is
Solution:
QUESTION: 63

When P1530 decays to become Si1430 the particle released is

Solution:
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

Solution:

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

QUESTION: 65
The photoelectric work function of a metal is 5 eV. Its threshold wavelength will be approximately
Solution:
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

Solution:
QUESTION: 67
Which one of the following is true in photoelectric emission
Solution:
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

Solution:
QUESTION: 69

Fraunhofer spectrum is a

Solution:
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

Solution:
QUESTION: 71

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

Solution:

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.

QUESTION: 72

In a P-N junction diode

Solution:
QUESTION: 73

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

Solution:
QUESTION: 74

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

Solution:
QUESTION: 75

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

Solution:
QUESTION: 76

In P-type semiconductor, there is

Solution:
QUESTION: 77

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

Solution:
QUESTION: 78

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

Solution:
QUESTION: 79

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

Solution:
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

Solution:
QUESTION: 81

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

Solution:
QUESTION: 82

Treatment of furfural with NaOH yields

Solution:
QUESTION: 83

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

Solution:
QUESTION: 84

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

Solution:
QUESTION: 85

Carbonyl compounds undergo nucleophilic addition because of

Solution:
QUESTION: 86

1-Butene may be converted to butane by reaction with

Solution:
QUESTION: 87

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

Solution:
QUESTION: 88

The most stable free radical among the following is

Solution:
QUESTION: 89

Which carbohydrate is used in silvering of mirrors?

Solution:
QUESTION: 90

Which amino acid is achrial?

Solution:
QUESTION: 91

Cane sugar on hydrolysis gives

Solution:
QUESTION: 92

Melting points are normally the highest for

Solution:
QUESTION: 93

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

Solution:
QUESTION: 94

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

Solution:
QUESTION: 95

A reversible reaction is said to have attained equilibrium, when

Solution:
QUESTION: 96

A reaction reaches a state of chemical equilibrium only when

Solution:
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

Solution:
QUESTION: 98

Which of the following is an extensive property?

Solution:
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?

Solution:
QUESTION: 100

Synthetic detergents are sodium salts of long chain

Solution:
QUESTION: 101

A chiral compound is

Solution:
QUESTION: 102

In the compound lithium tetrahydroaluminate, the ligands are

Solution:
QUESTION: 103

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

Solution:
QUESTION: 104

Diazo coupling is useful to prepare

Solution:
QUESTION: 105

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

Solution:
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

Solution:
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

Solution:
QUESTION: 108

Faraday constant

Solution:
QUESTION: 109

Which of the following statements is incorrect?

Solution:
QUESTION: 110

Ether which is liquid at room temperature is

Solution:
QUESTION: 111

Which of the following is most dense?

Solution:
QUESTION: 112

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

Solution:
QUESTION: 113

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

Solution:

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

QUESTION: 114

Oxidation state of + 1 for P is found in

Solution:
QUESTION: 115

While phosphorus forms PCl5, nitrogen does not form NCl5 because

Solution:
QUESTION: 116

Which acts as both oxidising as well as reducing agent ?

Solution:
QUESTION: 117

Collodial solution of arsenious sulphide is prepared by

Solution:
QUESTION: 118

Following configuration of the tartaric acid represents

Solution:
QUESTION: 119

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

Solution:
QUESTION: 120

An important ore of copper is

Solution:
QUESTION: 121

Find the Antonym of TACTFUL

Solution:
QUESTION: 122

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

Solution:
QUESTION: 123

Find the synonym of OBSTREPEROUS

Solution:
QUESTION: 124

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

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

Solution:
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 ?

Solution:

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