text: JEE  >  VITEEE PCME Mock Test - 13
  
  # VITEEE PCME Mock Test - 13
  
  Test Description
  
  ## 125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 13
  
  VITEEE PCME Mock Test - 13 for JEE 2023 is part of VITEEE: Subject Wise and Full Length MOCK Tests preparation. The VITEEE PCME Mock Test - 13 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 13 MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 13 below.
  Solutions of VITEEE PCME Mock Test - 13 questions in English are available as part of our VITEEE: Subject Wise and Full Length MOCK Tests for JEE & VITEEE PCME Mock Test - 13 solutions in Hindi for VITEEE: Subject Wise and Full Length MOCK Tests course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt VITEEE PCME Mock Test - 13 | 125 questions in 150 minutes | Mock test for JEE preparation | Free important questions MCQ to study VITEEE: Subject Wise and Full Length MOCK Tests for JEE Exam | Download free PDF with solutions
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  VITEEE PCME Mock Test - 13 - Question 1
  
  ### If the slope of the normal to the curve x3 = 8a2y, a > 0, at a point in the first quadrant is - 2/3, then the point is
  
  VITEEE PCME Mock Test - 13 - Question 2
  
  ### Area bounded by parabola y2 = x and st.line 2 y = x is
  
  VITEEE PCME Mock Test - 13 - Question 3
  
  ### If ω is a cube of unity and equation  has one root . Then
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 3
  
  ⇒ x = 0
  ∵ x2 + 5 = 0. Not possible ∀ x ∈ R
  
  VITEEE PCME Mock Test - 13 - Question 4
  
  If 1 + i is the conjugate of (x+iy)(1-2i), then
  
  VITEEE PCME Mock Test - 13 - Question 5
  
  Let y = | x | + | x − 2 | . Then dy/dx at x = 2 is
  
  VITEEE PCME Mock Test - 13 - Question 6
  
  If | z1 − 1 | < 1 , | z2 − 2 | < 2 , | z3 − 3 | < 3 then | z1 + z2 + z3 |
  
  VITEEE PCME Mock Test - 13 - Question 7
  
  If f: R → R defined by  is continuous function, then
  
  VITEEE PCME Mock Test - 13 - Question 8
  
  The value of
  
  VITEEE PCME Mock Test - 13 - Question 9
  
  The order of the differential equation y(dy/dx)=x/(dy/dx)+(dy/dx)3 is
  
  VITEEE PCME Mock Test - 13 - Question 10
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 10
  
  VITEEE PCME Mock Test - 13 - Question 11
  
  The solution of differential equation (xdy/dx) = y+x2 is
  
  VITEEE PCME Mock Test - 13 - Question 12
  
  The solution of the equation xdy-ydx=0 is
  
  VITEEE PCME Mock Test - 13 - Question 13
  
  The order of differential equation (d2y/dx2)= (1+dy/dx)1/2 is
  
  VITEEE PCME Mock Test - 13 - Question 14
  
  If f x = x − x2 + x3 − x4 + … ∞ , | x | < 1, then f′(x) =
  
  VITEEE PCME Mock Test - 13 - Question 15
  
  If f(x) = log (1 + x/1 - x), then f(2x/1 + x2) is equal to
  
  VITEEE PCME Mock Test - 13 - Question 16
  
  VITEEE PCME Mock Test - 13 - Question 17
  
  sin(sin-1(1/2) + cos-1(1/2))=
  
  VITEEE PCME Mock Test - 13 - Question 18
  
  VITEEE PCME Mock Test - 13 - Question 19
  
  VITEEE PCME Mock Test - 13 - Question 20
  
  VITEEE PCME Mock Test - 13 - Question 21
  
  ∼ [ p ↔ q ] is
  
  VITEEE PCME Mock Test - 13 - Question 22
  
  m [ − 3,4 ] + n [ 4 − 3 ] = [ 10 − 11 ] ⇒ 3 m + 7 n =
  
  VITEEE PCME Mock Test - 13 - Question 23
  
  All diagonal elements of skew symmetric matrix are
  
  VITEEE PCME Mock Test - 13 - Question 24
  
  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 - 13 - Question 25
  
  If A and B are two independent events in a given sample space and the probability that both A and B occur is 0.16 while the probability that neither occurs is 0.36. The probabilities P(A) and P(B) are respectively
  
  VITEEE PCME Mock Test - 13 - Question 26
  
  If the mean of a Poisson's Distribution is λ, then its standard deviation is
  
  VITEEE PCME Mock Test - 13 - Question 27
  
  If in a Δ A B C , 3 a = b + c then tanB/2 .tan C/2 is equal to
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 27
  
  VITEEE PCME Mock Test - 13 - Question 28
  
  If A and B are two mutually exclusive events such that P(B) = 2P(A) and A ∪ B = S. Then P(A) is equal to
  
  VITEEE PCME Mock Test - 13 - Question 29
  
  If (a, b), (c, d), (e, f) are the verices of a triangle such that a, c, e are in G.P. with common ratio r and b, d, f are in G.P. with common ratio's then the area of the triangle is
  
  VITEEE PCME Mock Test - 13 - Question 30
  
  For a frequency distribution mean deviation from mean is computed by
  
  VITEEE PCME Mock Test - 13 - Question 31
  
  The mode of the following items is 0, 1, 6, 7, 2, 3, 7, 6, 6, 2, 6, 0, 5, 6, 0
  
  VITEEE PCME Mock Test - 13 - Question 32
  
  p and q are the roots of x2 + ax + b = 0, then equation whose roots are p2q, q2p is
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 32
  
  p + q = - a, p.q = b
  Now, p2 q + q2 p = pq(p + q)
  = b(-a) = - ab
  p2q . q2p = (pq)3 = b3
  The required equation is
  x2 - (p2q + q2p) x+ (p2q . q2p) = 0
  x2 + abx + b3 = 0
  
  VITEEE PCME Mock Test - 13 - Question 33
  
  If the two roots of the equation x2-3x+2=0 are equal, roots are
  
  VITEEE PCME Mock Test - 13 - Question 34
  
  The smallest radius of the sphere passing thro'(1,0,0),(0,1,0) and (0,0,1) is
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 34
  
  Let the sphere be
  x2 + y2 + z2 + 2ux + 2vy + 2wz + d' = 0 ...(i)
  It passes through the points (1, 0, 0), (0, 1, 0), (0, 0, 1)
  ∴ 1 + 2y + d' = 0...(ii)
  1 + 2v + d' = 0 ...(iii)
  1 + 2w + d' = 0 ...(iv)
  From (ii), (iii), (iv), we get u = v = w = - d' + 1/2
  Let r denote the radius of (i)
  ∴ r2 = u2 + v2 + w2 - d'
  = 3 ( d' + 1/2 )2 - d'
  = 3/4 (d' + 1)2 - d'
  r will be minimum if d is minimum.
  
  VITEEE PCME Mock Test - 13 - Question 35
  
  The equation of the sphere with centre (3, 6, -4) and touching the plane
  2x - 2y - z - 10 = 0 is
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 35
  
  As the required sphere touches the plane
  2x - 2y - z - 10 = 0 .....(1)
  ∴ Radius of the required sphere = ⊥ from the center (3, 6, -4) of the required sphere to the plane (1)
  
  ∴ The required equation of the sphere is given by
  (x - 3)2 + (y - 6)2 + (z + 4)2 = 16 (Central form)
  ⇒ x2 + 9 - 6x + y2 + 36 - 12y + z2 + 16 + 8z = 16
  ⇒ x2 + y2 + z2 - 6x - 12y + 8z + 45 = 0
  
  VITEEE PCME Mock Test - 13 - Question 36
  
  If cosθ+cos7θ+cos3θ+cos5θ=0, then θ=
  
  VITEEE PCME Mock Test - 13 - Question 37
  
  The vertex of the parabola
  y= 4(a' - a) (x - a) is
  
  VITEEE PCME Mock Test - 13 - Question 38
  
  Two common tangents to the circle x2 + y2 = 2a2 and parabola y2 = 8ax are
  
  VITEEE PCME Mock Test - 13 - Question 39
  
  If  are unit vectors and then the value of is equal to
  
  VITEEE PCME Mock Test - 13 - Question 40
  
  Consider A, B, C and D with position vectors 7î - 4ĵ + 7k̂, î - 6ĵ + 10k̂, -î -3ĵ + 4k̂ and 5î - ĵ + 5k̂ respectively. Then ABCD is a
  
  VITEEE PCME Mock Test - 13 - Question 41
  
  A step-up transformer is used on a 120V line to provide a potential difference of 2400 V. If the primary coil has 75 turns, the number of turns in the secondary coil is
  
  VITEEE PCME Mock Test - 13 - Question 42
  
  A positron and a proton are accelerated by the same accelerating potential. Then the ratio of the associated wavelengths of positron and proton will be [M = mass of proton; m = mass of positron]
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 42
  
  Since both proton and positron have the same charge
  
  VITEEE PCME Mock Test - 13 - Question 43
  
  A particle of mass 0.6 gm and having charge of 25 nC is moving horizontally with a uniform velocity 1.2 x 104  m s-1 in a uniform magnetic field, then the value of the magnetic induction is (g = 10 m s-2)
  
  VITEEE PCME Mock Test - 13 - Question 44
  
  A condenser is connected across another charged condenser. The energy in the two condensers will be
  
  VITEEE PCME Mock Test - 13 - Question 45
  
  The resistance of a cell does not depend upon
  
  VITEEE PCME Mock Test - 13 - Question 46
  
  A laser beam is used for carrying out surgery because it
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - 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 - 13 - Question 47
  
  The temperature coefficient of resistance for a wire is 0.00125/ oC. At 300 K its resistance is 1 ohm. The temperature at which the resistance becomes 2 ohm is
  
  VITEEE PCME Mock Test - 13 - Question 48
  
  In a Wheatstone bridge all the four arms have equal resistance R. If the resistance of the galvanometer arm is also R, The equivalent resistance of the combination as seen by the battery is
  
  VITEEE PCME Mock Test - 13 - Question 49
  
  The resistance of an ammeter is 13 Ω and its scale is graduated for a current upto 100A. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto 750A by this meter. The value of shunt resistance is
  
  VITEEE PCME Mock Test - 13 - Question 50
  
  The effective resistance of two resistors in parallel is 12/7 Ω. If one of the resistors is disconnected the resistance becomes 4 Ω. The resistance of the other resistor is
  
  VITEEE PCME Mock Test - 13 - Question 51
  
  A caesium photocell, with a steady potential difference of 60V across, is illuminated by a bright point source of light 50cm away. When the same light is placed 1m away the photoelectrons emitted from the cell
  
  VITEEE PCME Mock Test - 13 - Question 52
  
  A choke coil has
  
  VITEEE PCME Mock Test - 13 - Question 53
  
  When current cahnge from + 2 A to -2 A in 0.05 s, an e.m.f. of 8 V is induced in a coil. The coefficient of self inductance of the coil is
  
  VITEEE PCME Mock Test - 13 - Question 54
  
  A coil of wire of radius r has 600 turns and a self inductance of 108 mH. The self inductance of a similar coil of 500 turns will be
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 54
  
  As L ∝ N2
  ∴ L = 108 x (500/600)2 = 75 mH
  
  VITEEE PCME Mock Test - 13 - Question 55
  
  Heat radiations propagate with the speed of
  
  VITEEE PCME Mock Test - 13 - Question 56
  
  A charge q is placed at the corner of a cube of side l. The electric flux passing through the cube is
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 56
  
  Eight cubes, each side l, are required to form a Gaussian surface
  So that the charge q at the corner of a small cube appears at the centre of the bigger cube
  According to Gauss's law, the electric flux through the bigger cubes = q/∈0
  Hence the electric flux through the given small cube =q/8∈0
  
  VITEEE PCME Mock Test - 13 - Question 57
  
  Consider the situation shown in figure. Work done in carrying a point charge from k to A, B, C are WA , WB , Wrespectively. Which one is true?
  
  VITEEE PCME Mock Test - 13 - 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 - 13 - 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 - 13 - Question 60
  
  When a body is connected to the earth, then electron from the earth, flow into the body. It means that the body is
  
  VITEEE PCME Mock Test - 13 - Question 61
  
  Inside a hollow charged spherical conductor, the potential at every point
  
  VITEEE PCME Mock Test - 13 - Question 62
  
  Two wires of equal length are placed perpendicular to the plane of paper at a distance of 5 cm from each other. If the currents flowing in first and second wires are 2 A and 5 A respectively in opposite direction, then the resultant magnetic field at mid-point of both the wires is
  
  VITEEE PCME Mock Test - 13 - Question 63
  
  Out of the following which has no charge?
  
  VITEEE PCME Mock Test - 13 - Question 64
  
  The element which does not exhibit radioactivity is
  
  VITEEE PCME Mock Test - 13 - Question 65
  
  What is the particle x in the following nuclear reaction?
  
  VITEEE PCME Mock Test - 13 - Question 66
  
  Find the kinetic energy of the photoelectrons emitted when light of wavelength 4000 Å is incident on a metal of work function 2 eV (find approximately)
  
  VITEEE PCME Mock Test - 13 - Question 67
  
  In photoelectric effect experiment, the stopping potential for incident light of wave-length 4000 Å is 2 volt. If the wavelength is changed to 3000 Å, the stopping potential is
  
  VITEEE PCME Mock Test - 13 - Question 68
  
  The resolving power of a telescope depends on
  
  VITEEE PCME Mock Test - 13 - Question 69
  
  When a glass prism of refracting angle 600 is immersed in a liquid its angle of minimum deviation is 300 . The critical angle of glass with respect to the liquid medium is
  
  VITEEE PCME Mock Test - 13 - Question 70
  
  An n - type and p - silicon can be obtained by doping pure silicon with:
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 70
  
  For obtaining ‘n’ type semi conductor V group element is doped with silicon.
  Ex: Phosphorus
  For obtaining ‘p’ type semiconductor III group element is doped with silicon.
  Ex: Indium
  
  VITEEE PCME Mock Test - 13 - Question 71
  
  On increasing the reverse bias to a large value, in a p-n junction diode, the current
  
  VITEEE PCME Mock Test - 13 - Question 72
  
  In an npn transistor, the emitter current is
  
  VITEEE PCME Mock Test - 13 - Question 73
  
  At OK temperature, a p-type semiconductor
  
  VITEEE PCME Mock Test - 13 - Question 74
  
  Depletion layer consists of
  
  VITEEE PCME Mock Test - 13 - Question 75
  
  The dominant contribution to current comes from holes in case of
  
  VITEEE PCME Mock Test - 13 - Question 76
  
  In intrinsic semiconductor at room temperature, number of electrons and holes are
  
  VITEEE PCME Mock Test - 13 - 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 - 13 - Question 78
  
  If the phase differenc between light waves from two slits of Young's double slit experiment is π radian, then the central fringe will be
  
  VITEEE PCME Mock Test - 13 - Question 79
  
  In the propagation of light waves, the angle between the direction of vibration and plane of polarisation is
  
  VITEEE PCME Mock Test - 13 - Question 80
  
  Both light and sound waves produce diffraction. It is more difficult to observe the diffraction with light waves because
  
  VITEEE PCME Mock Test - 13 - Question 81
  
  Ethylene reacts with 1% cold alkaline KMnO₄ to give
  
  VITEEE PCME Mock Test - 13 - Question 82
  
  Which of the following is hypnotic ?
  
  VITEEE PCME Mock Test - 13 - Question 83
  
  Consider the following compounds :
  I. HCHO II.CH₃CHO III. CH₃COCH₃
  The reactivities of these compounds are such that
  
  VITEEE PCME Mock Test - 13 - Question 84
  
  Which of the following reagent react differently with HCHO and CH₃CHO and CH₃COCH₃
  
  VITEEE PCME Mock Test - 13 - Question 85
  
  1-Butene may be converted to butane by reaction with
  
  VITEEE PCME Mock Test - 13 - Question 86
  
  The significant figures of the number 6.0023 are
  
  VITEEE PCME Mock Test - 13 - Question 87
  
  12 g of Mg (at. mass 24) on reacting completely with acid gives hydrogen gas, the volume of which at S.T.P would be
  
  VITEEE PCME Mock Test - 13 - Question 88
  
  How many monochlorobutanes will be obtained on chlorination of n-butane?
  
  VITEEE PCME Mock Test - 13 - Question 89
  
  Which of the following element is responsible for oxidation of water to O₂ in biological processes?
  
  VITEEE PCME Mock Test - 13 - Question 90
  
  When three different amino acid molecules condense, then how many different tripeptide molecules are formed?
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 90
  
  When two amino acids condense they form a dipeptide and water. A tripeptide is made up from three amino acids. If the three amino acids are all different then there are six possible ways in which they can combine
  
  VITEEE PCME Mock Test - 13 - Question 91
  
  Which is correct statement?
  
  VITEEE PCME Mock Test - 13 - Question 92
  
  Melting points are normally the highest for
  
  VITEEE PCME Mock Test - 13 - Question 93
  
  Which of the following compounds on boiling with KMnO₄ and the subsequent acidification will not give benzoic acid ?
  
  VITEEE PCME Mock Test - 13 - Question 94
  
  Hydrolysis of an ester gives a carboxylic acid which on Kolbe's electrolysis yields ethane. The ester is
  
  VITEEE PCME Mock Test - 13 - Question 95
  
  Which one of the following informations can be obtained on the basis of Le Chatelier principle ?
  
  VITEEE PCME Mock Test - 13 - Question 96
  
  Two moles of HI was heated in a sealed tube at 440 oC till the equilibrium was reached. HI was found to be 22% decomposed. The equilibrium constant for dissociation is
  
  VITEEE PCME Mock Test - 13 - Question 97
  In an endothermic reaction, the value of ∆H is
  VITEEE PCME Mock Test - 13 - Question 98
  
  In which of the following reactions, heat liberated is known as standard heat of formation of CO2?
  
  VITEEE PCME Mock Test - 13 - Question 99
  
  Which of the following is an example of intensive property?
  
  VITEEE PCME Mock Test - 13 - Question 100
  
  Which of the following is antipyretic?
  
  VITEEE PCME Mock Test - 13 - Question 101
  
  The number of possible structural isomers of C₄H₁₀O is
  
  VITEEE PCME Mock Test - 13 - Question 102
  
  Which one of the following cyano complexes would exhibit the lowest value of paramagnetic behaviour?
  (At. No. : Cr = 24, Mn = 25, Fe = 26, Co = 27)
  
  VITEEE PCME Mock Test - 13 - Question 103
  
  The hydrid state of Ni in Ni(CO)₄ is
  
  VITEEE PCME Mock Test - 13 - Question 104
  
  In the following reaction C₆H₆NH₂ + CHCl₃ + 3NaOH → A + 3B + 3C the product A is
  
  VITEEE PCME Mock Test - 13 - Question 105
  
  When electricity is passed through aqueous solution of aluminium chloride, 13.5 g of Al are deposited. The number of faradays of electricity passed must be
  
  VITEEE PCME Mock Test - 13 - Question 106
  
  Which one of the following is not the correct reaction of aryl diazonium salts?
  
  VITEEE PCME Mock Test - 13 - Question 107
  
  A certain current liberate 0.5 g of hydrogen in 2 h. How many grams of copper can be liberated by the same current flowing for the same time in a copper sulphate solution?
  
  VITEEE PCME Mock Test - 13 - Question 108
  
  If the standard electrode potential of Cu2+/Cu electrode is 0.34 V, what is the electrode potential at 0.01 M concentration of Cu2+? (T = 298K)
  
  VITEEE PCME Mock Test - 13 - Question 109
  
  Cassiterite is concentrated by
  
  VITEEE PCME Mock Test - 13 - Question 110
  
  Ethyl chloride is converted into diethyl ether by
  
  VITEEE PCME Mock Test - 13 - Question 111
  
  White P when boiled with strong solution of caustic soda produces
  
  VITEEE PCME Mock Test - 13 - Question 112
  
  The components present in producer gas are
  
  VITEEE PCME Mock Test - 13 - Question 113
  
  Oxygen and cyclopropane at partial pressure of 570 torr and 170 torr respectively are mixed in a gas cylinder. What is the ratio of the number of moles of cyclopropane to the number of moles of oxygen ?
  
  VITEEE PCME Mock Test - 13 - Question 114
  
  In H₂O₂, the oxidation state of oxygen is
  
  VITEEE PCME Mock Test - 13 - Question 115
  
  Which of the following fluorides does not exist ?
  
  VITEEE PCME Mock Test - 13 - Question 116
  
  The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is
  
  VITEEE PCME Mock Test - 13 - Question 117
  
  Which of the following can't be explained by adsorption?
  
  VITEEE PCME Mock Test - 13 - Question 118
  
  Among the following ions in aqueous solution, the ion is likely to be colourless
  
  VITEEE PCME Mock Test - 13 - Question 119
  
  The addition of Br2 to E-but-2-ene gives
  
  VITEEE PCME Mock Test - 13 - Question 120
  
  Among the following which is used as an electrolyte in electroplating a baser metal with gold?
  
  VITEEE PCME Mock Test - 13 - Question 121
  
  find the synonym of DELECTABLE
  
  VITEEE PCME Mock Test - 13 - Question 122
  
  Fill in the blank with appropriate word.
  Waking at three o'clock, I heard the........of thunder
  
  VITEEE PCME Mock Test - 13 - Question 123
  
  Find the Antonym of SULKY
  
  VITEEE PCME Mock Test - 13 - Question 124
  
  Choose the alternative which best expresses the meaning of the idiom/phrase.
  
  To take with a grain of salt
  
  VITEEE PCME Mock Test - 13 - Question 125
  
  Improve the sentence by choosing best alternative for capitalised part of the sentence.
  
  He should move on to the next point, and not HARP ONE STRING ONLY.
  
  ## VITEEE: Subject Wise and Full Length MOCK Tests
  
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  ## VITEEE: Subject Wise and Full Length MOCK Tests
  
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explanation: The provided text is a VITEEE (Vellore Institute of Technology Engineering Entrance Examination) mock test for the PCME (Physics, Chemistry, Mathematics, and English) subjects. It contains 125 multiple-choice questions (MCQs) designed to prepare students for the VITEEE exam. The questions cover a wide range of topics in Physics, Chemistry, Mathematics, and English. 
  
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  # VITEEE PCME Mock Test - 13
  
  Test Description
  
  ## 125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 13
  
  VITEEE PCME Mock Test - 13 for JEE 2023 is part of VITEEE: Subject Wise and Full Length MOCK Tests preparation. The VITEEE PCME Mock Test - 13 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 13 MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 13 below.
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  VITEEE PCME Mock Test - 13 - Question 1
  
  ### If the slope of the normal to the curve x3 = 8a2y, a > 0, at a point in the first quadrant is - 2/3, then the point is
  
  VITEEE PCME Mock Test - 13 - Question 2
  
  ### Area bounded by parabola y2 = x and st.line 2 y = x is
  
  VITEEE PCME Mock Test - 13 - Question 3
  
  ### If ω is a cube of unity and equation  has one root . Then
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 3
  
  ⇒ x = 0
  ∵ x2 + 5 = 0. Not possible ∀ x ∈ R
  
  VITEEE PCME Mock Test - 13 - Question 4
  
  If 1 + i is the conjugate of (x+iy)(1-2i), then
  
  VITEEE PCME Mock Test - 13 - Question 5
  
  Let y = | x | + | x − 2 | . Then dy/dx at x = 2 is
  
  VITEEE PCME Mock Test - 13 - Question 6
  
  If | z1 − 1 | < 1 , | z2 − 2 | < 2 , | z3 − 3 | < 3 then | z1 + z2 + z3 |
  
  VITEEE PCME Mock Test - 13 - Question 7
  
  If f: R → R defined by  is continuous function, then
  
  VITEEE PCME Mock Test - 13 - Question 8
  
  The value of
  
  VITEEE PCME Mock Test - 13 - Question 9
  
  The order of the differential equation y(dy/dx)=x/(dy/dx)+(dy/dx)3 is
  
  VITEEE PCME Mock Test - 13 - Question 10
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 10
  
  VITEEE PCME Mock Test - 13 - Question 11
  
  The solution of differential equation (xdy/dx) = y+x2 is
  
  VITEEE PCME Mock Test - 13 - Question 12
  
  The solution of the equation xdy-ydx=0 is
  
  VITEEE PCME Mock Test - 13 - Question 13
  
  The order of differential equation (d2y/dx2)= (1+dy/dx)1/2 is
  
  VITEEE PCME Mock Test - 13 - Question 14
  
  If f x = x − x2 + x3 − x4 + … ∞ , | x | < 1, then f′(x) =
  
  VITEEE PCME Mock Test - 13 - Question 15
  
  If f(x) = log (1 + x/1 - x), then f(2x/1 + x2) is equal to
  
  VITEEE PCME Mock Test - 13 - Question 16
  
  VITEEE PCME Mock Test - 13 - Question 17
  
  sin(sin-1(1/2) + cos-1(1/2))=
  
  VITEEE PCME Mock Test - 13 - Question 18
  
  VITEEE PCME Mock Test - 13 - Question 19
  
  VITEEE PCME Mock Test - 13 - Question 20
  
  VITEEE PCME Mock Test - 13 - Question 21
  
  ∼ [ p ↔ q ] is
  
  VITEEE PCME Mock Test - 13 - Question 22
  
  m [ − 3,4 ] + n [ 4 − 3 ] = [ 10 − 11 ] ⇒ 3 m + 7 n =
  
  VITEEE PCME Mock Test - 13 - Question 23
  
  All diagonal elements of skew symmetric matrix are
  
  VITEEE PCME Mock Test - 13 - Question 24
  
  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 - 13 - Question 25
  
  If A and B are two independent events in a given sample space and the probability that both A and B occur is 0.16 while the probability that neither occurs is 0.36. The probabilities P(A) and P(B) are respectively
  
  VITEEE PCME Mock Test - 13 - Question 26
  
  If the mean of a Poisson's Distribution is λ, then its standard deviation is
  
  VITEEE PCME Mock Test - 13 - Question 27
  
  If in a Δ A B C , 3 a = b + c then tanB/2 .tan C/2 is equal to
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 27
  
  VITEEE PCME Mock Test - 13 - Question 28
  
  If A and B are two mutually exclusive events such that P(B) = 2P(A) and A ∪ B = S. Then P(A) is equal to
  
  VITEEE PCME Mock Test - 13 - Question 29
  
  If (a, b), (c, d), (e, f) are the verices of a triangle such that a, c, e are in G.P. with common ratio r and b, d, f are in G.P. with common ratio's then the area of the triangle is
  
  VITEEE PCME Mock Test - 13 - Question 30
  
  For a frequency distribution mean deviation from mean is computed by
  
  VITEEE PCME Mock Test - 13 - Question 31
  
  The mode of the following items is 0, 1, 6, 7, 2, 3, 7, 6, 6, 2, 6, 0, 5, 6, 0
  
  VITEEE PCME Mock Test - 13 - Question 32
  
  p and q are the roots of x2 + ax + b = 0, then equation whose roots are p2q, q2p is
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 32
  
  p + q = - a, p.q = b
  Now, p2 q + q2 p = pq(p + q)
  = b(-a) = - ab
  p2q . q2p = (pq)3 = b3
  The required equation is
  x2 - (p2q + q2p) x+ (p2q . q2p) = 0
  x2 + abx + b3 = 0
  
  VITEEE PCME Mock Test - 13 - Question 33
  
  If the two roots of the equation x2-3x+2=0 are equal, roots are
  
  VITEEE PCME Mock Test - 13 - Question 34
  
  The smallest radius of the sphere passing thro'(1,0,0),(0,1,0) and (0,0,1) is
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 34
  
  Let the sphere be
  x2 + y2 + z2 + 2ux + 2vy + 2wz + d' = 0 ...(i)
  It passes through the points (1, 0, 0), (0, 1, 0), (0, 0, 1)
  ∴ 1 + 2y + d' = 0...(ii)
  1 + 2v + d' = 0 ...(iii)
  1 + 2w + d' = 0 ...(iv)
  From (ii), (iii), (iv), we get u = v = w = - d' + 1/2
  Let r denote the radius of (i)
  ∴ r2 = u2 + v2 + w2 - d'
  = 3 ( d' + 1/2 )2 - d'
  = 3/4 (d' + 1)2 - d'
  r will be minimum if d is minimum.
  
  VITEEE PCME Mock Test - 13 - Question 35
  
  The equation of the sphere with centre (3, 6, -4) and touching the plane
  2x - 2y - z - 10 = 0 is
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 35
  
  As the required sphere touches the plane
  2x - 2y - z - 10 = 0 .....(1)
  ∴ Radius of the required sphere = ⊥ from the center (3, 6, -4) of the required sphere to the plane (1)
  
  ∴ The required equation of the sphere is given by
  (x - 3)2 + (y - 6)2 + (z + 4)2 = 16 (Central form)
  ⇒ x2 + 9 - 6x + y2 + 36 - 12y + z2 + 16 + 8z = 16
  ⇒ x2 + y2 + z2 - 6x - 12y + 8z + 45 = 0
  
  VITEEE PCME Mock Test - 13 - Question 36
  
  If cosθ+cos7θ+cos3θ+cos5θ=0, then θ=
  
  VITEEE PCME Mock Test - 13 - Question 37
  
  The vertex of the parabola
  y= 4(a' - a) (x - a) is
  
  VITEEE PCME Mock Test - 13 - Question 38
  
  Two common tangents to the circle x2 + y2 = 2a2 and parabola y2 = 8ax are
  
  VITEEE PCME Mock Test - 13 - Question 39
  
  If  are unit vectors and then the value of is equal to
  
  VITEEE PCME Mock Test - 13 - Question 40
  
  Consider A, B, C and D with position vectors 7î - 4ĵ + 7k̂, î - 6ĵ + 10k̂, -î -3ĵ + 4k̂ and 5î - ĵ + 5k̂ respectively. Then ABCD is a
  
  VITEEE PCME Mock Test - 13 - Question 41
  
  A step-up transformer is used on a 120V line to provide a potential difference of 2400 V. If the primary coil has 75 turns, the number of turns in the secondary coil is
  
  VITEEE PCME Mock Test - 13 - Question 42
  
  A positron and a proton are accelerated by the same accelerating potential. Then the ratio of the associated wavelengths of positron and proton will be [M = mass of proton; m = mass of positron]
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 42
  
  Since both proton and positron have the same charge
  
  VITEEE PCME Mock Test - 13 - Question 43
  
  A particle of mass 0.6 gm and having charge of 25 nC is moving horizontally with a uniform velocity 1.2 x 104  m s-1 in a uniform magnetic field, then the value of the magnetic induction is (g = 10 m s-2)
  
  VITEEE PCME Mock Test - 13 - Question 44
  
  A condenser is connected across another charged condenser. The energy in the two condensers will be
  
  VITEEE PCME Mock Test - 13 - Question 45
  
  The resistance of a cell does not depend upon
  
  VITEEE PCME Mock Test - 13 - Question 46
  
  A laser beam is used for carrying out surgery because it
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - 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 - 13 - Question 47
  
  The temperature coefficient of resistance for a wire is 0.00125/ oC. At 300 K its resistance is 1 ohm. The temperature at which the resistance becomes 2 ohm is
  
  VITEEE PCME Mock Test - 13 - Question 48
  
  In a Wheatstone bridge all the four arms have equal resistance R. If the resistance of the galvanometer arm is also R, The equivalent resistance of the combination as seen by the battery is
  
  VITEEE PCME Mock Test - 13 - Question 49
  
  The resistance of an ammeter is 13 Ω and its scale is graduated for a current upto 100A. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto 750A by this meter. The value of shunt resistance is
  
  VITEEE PCME Mock Test - 13 - Question 50
  
  The effective resistance of two resistors in parallel is 12/7 Ω. If one of the resistors is disconnected the resistance becomes 4 Ω. The resistance of the other resistor is
  
  VITEEE PCME Mock Test - 13 - Question 51
  
  A caesium photocell, with a steady potential difference of 60V across, is illuminated by a bright point source of light 50cm away. When the same light is placed 1m away the photoelectrons emitted from the cell
  
  VITEEE PCME Mock Test - 13 - Question 52
  
  A choke coil has
  
  VITEEE PCME Mock Test - 13 - Question 53
  
  When current cahnge from + 2 A to -2 A in 0.05 s, an e.m.f. of 8 V is induced in a coil. The coefficient of self inductance of the coil is
  
  VITEEE PCME Mock Test - 13 - Question 54
  
  A coil of wire of radius r has 600 turns and a self inductance of 108 mH. The self inductance of a similar coil of 500 turns will be
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 54
  
  As L ∝ N2
  ∴ L = 108 x (500/600)2 = 75 mH
  
  VITEEE PCME Mock Test - 13 - Question 55
  
  Heat radiations propagate with the speed of
  
  VITEEE PCME Mock Test - 13 - Question 56
  
  A charge q is placed at the corner of a cube of side l. The electric flux passing through the cube is
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 56
  
  Eight cubes, each side l, are required to form a Gaussian surface
  So that the charge q at the corner of a small cube appears at the centre of the bigger cube
  According to Gauss's law, the electric flux through the bigger cubes = q/∈0
  Hence the electric flux through the given small cube =q/8∈0
  
  VITEEE PCME Mock Test - 13 - Question 57
  
  Consider the situation shown in figure. Work done in carrying a point charge from k to A, B, C are WA , WB , Wrespectively. Which one is true?
  
  VITEEE PCME Mock Test - 13 - 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 - 13 - 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 - 13 - Question 60
  
  When a body is connected to the earth, then electron from the earth, flow into the body. It means that the body is
  
  VITEEE PCME Mock Test - 13 - Question 61
  
  Inside a hollow charged spherical conductor, the potential at every point
  
  VITEEE PCME Mock Test - 13 - Question 62
  
  Two wires of equal length are placed perpendicular to the plane of paper at a distance of 5 cm from each other. If the currents flowing in first and second wires are 2 A and 5 A respectively in opposite direction, then the resultant magnetic field at mid-point of both the wires is
  
  VITEEE PCME Mock Test - 13 - Question 63
  
  Out of the following which has no charge?
  
  VITEEE PCME Mock Test - 13 - Question 64
  
  The element which does not exhibit radioactivity is
  
  VITEEE PCME Mock Test - 13 - Question 65
  
  What is the particle x in the following nuclear reaction?
  
  VITEEE PCME Mock Test - 13 - Question 66
  
  Find the kinetic energy of the photoelectrons emitted when light of wavelength 4000 Å is incident on a metal of work function 2 eV (find approximately)
  
  VITEEE PCME Mock Test - 13 - Question 67
  
  In photoelectric effect experiment, the stopping potential for incident light of wave-length 4000 Å is 2 volt. If the wavelength is changed to 3000 Å, the stopping potential is
  
  VITEEE PCME Mock Test - 13 - Question 68
  
  The resolving power of a telescope depends on
  
  VITEEE PCME Mock Test - 13 - Question 69
  
  When a glass prism of refracting angle 600 is immersed in a liquid its angle of minimum deviation is 300 . The critical angle of glass with respect to the liquid medium is
  
  VITEEE PCME Mock Test - 13 - Question 70
  
  An n - type and p - silicon can be obtained by doping pure silicon with:
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 70
  
  For obtaining ‘n’ type semi conductor V group element is doped with silicon.
  Ex: Phosphorus
  For obtaining ‘p’ type semiconductor III group element is doped with silicon.
  Ex: Indium
  
  VITEEE PCME Mock Test - 13 - Question 71
  
  On increasing the reverse bias to a large value, in a p-n junction diode, the current
  
  VITEEE PCME Mock Test - 13 - Question 72
  
  In an npn transistor, the emitter current is
  
  VITEEE PCME Mock Test - 13 - Question 73
  
  At OK temperature, a p-type semiconductor
  
  VITEEE PCME Mock Test - 13 - Question 74
  
  Depletion layer consists of
  
  VITEEE PCME Mock Test - 13 - Question 75
  
  The dominant contribution to current comes from holes in case of
  
  VITEEE PCME Mock Test - 13 - Question 76
  
  In intrinsic semiconductor at room temperature, number of electrons and holes are
  
  VITEEE PCME Mock Test - 13 - 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 - 13 - Question 78
  
  If the phase differenc between light waves from two slits of Young's double slit experiment is π radian, then the central fringe will be
  
  VITEEE PCME Mock Test - 13 - Question 79
  
  In the propagation of light waves, the angle between the direction of vibration and plane of polarisation is
  
  VITEEE PCME Mock Test - 13 - Question 80
  
  Both light and sound waves produce diffraction. It is more difficult to observe the diffraction with light waves because
  
  VITEEE PCME Mock Test - 13 - Question 81
  
  Ethylene reacts with 1% cold alkaline KMnO₄ to give
  
  VITEEE PCME Mock Test - 13 - Question 82
  
  Which of the following is hypnotic ?
  
  VITEEE PCME Mock Test - 13 - Question 83
  
  Consider the following compounds :
  I. HCHO II.CH₃CHO III. CH₃COCH₃
  The reactivities of these compounds are such that
  
  VITEEE PCME Mock Test - 13 - Question 84
  
  Which of the following reagent react differently with HCHO and CH₃CHO and CH₃COCH₃
  
  VITEEE PCME Mock Test - 13 - Question 85
  
  1-Butene may be converted to butane by reaction with
  
  VITEEE PCME Mock Test - 13 - Question 86
  
  The significant figures of the number 6.0023 are
  
  VITEEE PCME Mock Test - 13 - Question 87
  
  12 g of Mg (at. mass 24) on reacting completely with acid gives hydrogen gas, the volume of which at S.T.P would be
  
  VITEEE PCME Mock Test - 13 - Question 88
  
  How many monochlorobutanes will be obtained on chlorination of n-butane?
  
  VITEEE PCME Mock Test - 13 - Question 89
  
  Which of the following element is responsible for oxidation of water to O₂ in biological processes?
  
  VITEEE PCME Mock Test - 13 - Question 90
  
  When three different amino acid molecules condense, then how many different tripeptide molecules are formed?
  
  Detailed Solution for VITEEE PCME Mock Test - 13 - Question 90
  
  When two amino acids condense they form a dipeptide and water. A tripeptide is made up from three amino acids. If the three amino acids are all different then there are six possible ways in which they can combine
  
  VITEEE PCME Mock Test - 13 - Question 91
  
  Which is correct statement?
  
  VITEEE PCME Mock Test - 13 - Question 92
  
  Melting points are normally the highest for
  
  VITEEE PCME Mock Test - 13 - Question 93
  
  Which of the following compounds on boiling with KMnO₄ and the subsequent acidification will not give benzoic acid ?
  
  VITEEE PCME Mock Test - 13 - Question 94
  
  Hydrolysis of an ester gives a carboxylic acid which on Kolbe's electrolysis yields ethane. The ester is
  
  VITEEE PCME Mock Test - 13 - Question 95
  
  Which one of the following informations can be obtained on the basis of Le Chatelier principle ?
  
  VITEEE PCME Mock Test - 13 - Question 96
  
  Two moles of HI was heated in a sealed tube at 440 oC till the equilibrium was reached. HI was found to be 22% decomposed. The equilibrium constant for dissociation is
  
  VITEEE PCME Mock Test - 13 - Question 97
  In an endothermic reaction, the value of ∆H is
  VITEEE PCME Mock Test - 13 - Question 98
  
  In which of the following reactions, heat liberated is known as standard heat of formation of CO2?
  
  VITEEE PCME Mock Test - 13 - Question 99
  
  Which of the following is an example of intensive property?
  
  VITEEE PCME Mock Test - 13 - Question 100
  
  Which of the following is antipyretic?
  
  VITEEE PCME Mock Test - 13 - Question 101
  
  The number of possible structural isomers of C₄H₁₀O is
  
  VITEEE PCME Mock Test - 13 - Question 102
  
  Which one of the following cyano complexes would exhibit the lowest value of paramagnetic behaviour?
  (At. No. : Cr = 24, Mn = 25, Fe = 26, Co = 27)
  
  VITEEE PCME Mock Test - 13 - Question 103
  
  The hydrid state of Ni in Ni(CO)₄ is
  
  VITEEE PCME Mock Test - 13 - Question 104
  
  In the following reaction C₆H₆NH₂ + CHCl₃ + 3NaOH → A + 3B + 3C the product A is
  
  VITEEE PCME Mock Test - 13 - Question 105
  
  When electricity is passed through aqueous solution of aluminium chloride, 13.5 g of Al are deposited. The number of faradays of electricity passed must be
  
  VITEEE PCME Mock Test - 13 - Question 106
  
  Which one of the following is not the correct reaction of aryl diazonium salts?
  
  VITEEE PCME Mock Test - 13 - Question 107
  
  A certain current liberate 0.5 g of hydrogen in 2 h. How many grams of copper can be liberated by the same current flowing for the same time in a copper sulphate solution?
  
  VITEEE PCME Mock Test - 13 - Question 108
  
  If the standard electrode potential of Cu2+/Cu electrode is 0.34 V, what is the electrode potential at 0.01 M concentration of Cu2+? (T = 298K)
  
  VITEEE PCME Mock Test - 13 - Question 109
  
  Cassiterite is concentrated by
  
  VITEEE PCME Mock Test - 13 - Question 110
  
  Ethyl chloride is converted into diethyl ether by
  
  VITEEE PCME Mock Test - 13 - Question 111
  
  White P when boiled with strong solution of caustic soda produces
  
  VITEEE PCME Mock Test - 13 - Question 112
  
  The components present in producer gas are
  
  VITEEE PCME Mock Test - 13 - Question 113
  
  Oxygen and cyclopropane at partial pressure of 570 torr and 170 torr respectively are mixed in a gas cylinder. What is the ratio of the number of moles of cyclopropane to the number of moles of oxygen ?
  
  VITEEE PCME Mock Test - 13 - Question 114
  
  In H₂O₂, the oxidation state of oxygen is
  
  VITEEE PCME Mock Test - 13 - Question 115
  
  Which of the following fluorides does not exist ?
  
  VITEEE PCME Mock Test - 13 - Question 116
  
  The edge length of face centred unit cubic cell is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is
  
  VITEEE PCME Mock Test - 13 - Question 117
  
  Which of the following can't be explained by adsorption?
  
  VITEEE PCME Mock Test - 13 - Question 118
  
  Among the following ions in aqueous solution, the ion is likely to be colourless
  
  VITEEE PCME Mock Test - 13 - Question 119
  
  The addition of Br2 to E-but-2-ene gives
  
  VITEEE PCME Mock Test - 13 - Question 120
  
  Among the following which is used as an electrolyte in electroplating a baser metal with gold?
  
  VITEEE PCME Mock Test - 13 - Question 121
  
  find the synonym of DELECTABLE
  
  VITEEE PCME Mock Test - 13 - Question 122
  
  Fill in the blank with appropriate word.
  Waking at three o'clock, I heard the........of thunder
  
  VITEEE PCME Mock Test - 13 - Question 123
  
  Find the Antonym of SULKY
  
  VITEEE PCME Mock Test - 13 - Question 124
  
  Choose the alternative which best expresses the meaning of the idiom/phrase.
  
  To take with a grain of salt
  
  VITEEE PCME Mock Test - 13 - Question 125
  
  Improve the sentence by choosing best alternative for capitalised part of the sentence.
  
  He should move on to the next point, and not HARP ONE STRING ONLY.
  
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distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a VITEEE (Vellore Institute of Technology Engineering Entrance Examination) mock test for the PCME (Physics, Chemistry, Mathematics, and English) subjects. It contains 125 multiple-choice questions (MCQs) designed to prepare students for the VITEEE exam. The questions cover a wide range of topics in Physics, Chemistry, Mathematics, and English. 
  
  The text does not contain a single question or a question and answer but rather a full mock test with multiple questions. 
  
  Label: multiple-question