Practice MCQs - PCE Set 3

Physics

1. The correct dimensional formula for impulse is given by:

A.$[\mathrm{M}\mathrm{L}^2\mathrm{T}^{-2}]$B.$[\mathrm{M}\mathrm{L}\mathrm{T}^{-1}]$C.$[\mathrm{M}\mathrm{L}^2\mathrm{T}^{-1}]$D.$[\mathrm{M}\mathrm{L}\mathrm{T}^{-2}]$

Physics

2. A measuring device has limitations in error due to:

A.human errorB.problematic errorC.systematic errorD.gravity error

Physics

3. The vectors $\vec{A}$ and $\vec{B}$ are such that $|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$. The angle between the two vectors will be:

A.$0^\circ$B.$60^\circ$C.$90^\circ$D.$45^\circ$

Physics

4. The distance travelled by an object along a straight line in time $t$ is given by $s = 3 - 4t + 5t^2$, the initial velocity of the object is:

A.$3\text{ unit}$B.$-3\text{ unit}$C.$4\text{ unit}$D.$-4\text{ unit}$

Physics

5. Force required to move a mass of $1\text{ kg}$ at rest on a horizontal rough plane ($\mu = 0.1$ and $g = 9.8\text{ m/s}^2$) is:

A.$0.98\text{ N}$B.$0.49\text{ N}$C.$9.8\text{ N}$D.$4.9\text{ N}$

Physics

6. A pellet of mass $1\text{ g}$ is moving with an angular velocity of $1\text{ rad/s}$ along a circle of radius $1\text{ m}$. The centrifugal force is:

A.$0.1\text{ dyne}$B.$1\text{ dyne}$C.$10\text{ dyne}$D.$100\text{ dyne}$

Physics

7. Work done for a certain spring when stretched through $1\text{ mm}$ is $10\text{ Joule}$. The amount of work that must be done on the spring to stretch it further by $1\text{ mm}$ is:

A.$30\text{ J}$B.$40\text{ J}$C.$10\text{ J}$D.$20\text{ J}$

Physics

8. If a body of mass $m$ is initially at rest, and it collides elastically with another body of the same mass $m$ moving with velocity $v$, then what will be the velocity of the body which was initially at rest after the collision?

A.$v$B.$v/2$C.$0$D.$2v$

Physics

9. Two bodies of masses $m_1$ and $m_2$ are separated by a distance $R$. The distance of the centre of mass of the bodies from the mass $m_1$ is:

A.$\dfrac{m_2 R}{m_1 + m_2}$B.$\dfrac{m_1 R}{m_1 + m_2}$C.$\dfrac{m_1 m_2}{m_1 + m_2}R$D.$\dfrac{m_1 + m_2}{m_1}R$

Physics

10. The radius of gyration of a uniform circular disc of radius $R$, about any diameter of the disc is:

A.$K = R$B.$K = R/2$C.$K = 2R$D.None of these

Physics

11. Which of the following substances has the highest elasticity?

A.steelB.copperC.rubberD.sponge

Physics

12. Why does heat transfer between two bodies at temperatures $T_1$ and $T_2$?

A.Both $T_1$ and $T_2$ are the sameB.$T_1$ and $T_2$ are differentC.Both are $0\text{ K}$D.Both are $100^\circ\mathrm{C}$

Physics

13. What does Kelvin's statement of the Second Law of Thermodynamics say?

A.Heat cannot flow from a cold body to a hot body without external work.B.No process is possible whose sole result is the absorption of heat from a reservoir and its complete conversion into work.C.It is impossible to cool a system below $0\text{ Kelvin}$.D.Work can be completely converted into heat, but not vice versa.

Physics

14. A simple harmonic pendulum completes $90$ oscillations in $1\text{ minute}$. What is its frequency?

A.$0.67\text{ Hz}$B.$1.5\text{ Hz}$C.$60\text{ Hz}$D.$90\text{ Hz}$

Physics

15. A wave is described by the equation $y = 0.02\sin(\alpha x - \beta t)$. The wave propagates in the positive $x$-direction. What is the angular frequency $\omega$ of the wave?

A.$\alpha$B.$\beta$C.$\dfrac{1}{\beta}$D.$\dfrac{\beta}{2\pi}$

Physics

16. What is the formula for the orbital velocity of a satellite orbiting at a height $h$ above the Earth's surface? ($R = \text{radius of Earth},\ M = \text{mass of Earth},\ G = \text{gravitational constant}$)

A.$\sqrt{\dfrac{GM}{R+h}}$B.$\sqrt{\dfrac{2GM}{R+h}}$C.$\dfrac{GM}{(R+h)^2}$D.$\dfrac{GM}{R+h}$

Physics

17. In a capillary tube of area of cross-section '$a$' water rises to height '$h$'. To what height will water rise in a capillary tube of area of cross-section $4a$?

A.$4h$B.$2h$C.$h/2$D.$h/4$

Physics

18. Two charges $+q$ and $-q$ are separated by a distance $2a$. What is the magnitude of the electric dipole moment?

A.$q \cdot a$B.$2q \cdot a$C.$q/(2a)$D.$q + 2a$

Physics

19. Kirchhoff's voltage law and current law are based (respectively) on the conservation of:

A.momentum, chargeB.energy, chargeC.charge, momentumD.charge, energy

Physics

20. A positive charge $Q$ is situated at the centre of a cube. The electric flux through any face of the cube is (in SI units):

A.$Q/(6\varepsilon_0)$B.$4\pi Q$C.$Q/(4\pi\varepsilon_0)$D.$Q/(6\pi\varepsilon_0)$

Physics

21. A battery of e.m.f. $E$ and internal resistance $r$ is connected to an external resistance $R$. The condition for maximum power transfer is:

A.$r < R$B.$r > R$C.$r = 1/R$D.$r = R$

Physics

22. The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate is halved. If $C$ is its initial capacitance, its final capacitance is equal to:

A.$C/4$B.$2C$C.$C/2$D.$4C$

Physics

23. The magnetic field due to a current in a straight wire segment of length $L$ at a point on its perpendicular bisector at a distance $r$ ($r \gg L$):

A.decreases as $1/r$B.decreases as $1/r^2$C.decreases as $1/r^3$D.approaches a finite limit as $r \to \infty$

Physics

24. Lenz's law is based on which law of conservation?

A.Conservation of chargeB.Conservation of energyC.Conservation of momentumD.Conservation of mass

Physics

25. An alternating current is flowing through a series $L$-$C$-$R$ circuit. It is found that the current reaches a value of $1\text{ mA}$ at both $200\text{ Hz}$ and $800\text{ Hz}$ frequency. What is the resonance frequency of the circuit?

A.$600\text{ Hz}$B.$300\text{ Hz}$C.$500\text{ Hz}$D.$400\text{ Hz}$

Physics

26. What is the condition for total internal reflection?

A.Light goes from lower to higher refractive index.B.Angle of incidence $<$ critical angle.C.Light goes from higher to lower refractive index and angle of incidence $>$ critical angle.D.Angle of incidence $= 0^\circ$.

Physics

27. In double slit experiment, if wavelength is double then what happens to the Fringe width

A.decreased by 2 timesB.increased by 2 timesC.increased by 4 timesD.remains the same

Physics

28. The minimum wavelength of Lyman series lines is P, then the maximum wavelength of these lines is

A.4P/3B.2PC.2P/3D.$\infty$

Physics

29. What is the photon energy of light with frequency $4 \times 10^{14}\text{ Hz}$? (Take Planck's constant $h = 6.62 \times 10^{-34}\text{ J}\cdot\text{s}$)

A.$2.65 \times 10^{-19}\text{ J}$B.$1.32 \times 10^{-19}\text{ J}$C.$3.15 \times 10^{-20}\text{ J}$D.$2.65 \times 10^{-48}\text{ J}$

Physics

30. When a P-N junction is forward-biased, then

A.it's positive terminal connected with p-type and negative terminal connected to n-typeB.it's positive terminal connected with n-type and negative terminal connected to p-typeC.positive terminal to only p-typeD.positive terminal to only n-type

Chemistry

31. The maximum number of electrons in an atom in which the last electron filled has the quantum numbers $n = 3$, $l = 2$ and $m = -1$ is:

A.$17$B.$27$C.$28$D.$30$

Chemistry

32. What is the oxidation number of chlorine ($\mathrm{Cl}$) in the hypochlorite ion ($\mathrm{ClO^-}$)?

A.$-1$B.$0$C.$+1$D.$+3$

Chemistry

33. Avogadro's law is valid for:

A.all gasesB.ideal gasesC.Vander Waal's gasD.real gas

Chemistry

34. What happens to a chemical reaction when the reaction quotient $Q$ is equal to the equilibrium constant $K$?

A.The reaction proceeds in the forward directionB.The reaction proceeds in the backward reactionC.The reaction is at equilibrium and no net change occursD.The reaction stops completely

Chemistry

35. Boric acid is an acid because its molecule:

A.accepts $\mathrm{OH^-}$ from water releasing protonB.combines with proton from water moleculeC.contains replaceable $\mathrm{H^+}$ ionD.gives up a proton

Chemistry

36. $\mathrm{pH}$ of $10^{-8}\text{ M}$ $\mathrm{HCl}$ solution is:

A.$8$B.greater than $7$, less than $8$C.greater than $8$D.greater than $6$, less than $7$

Chemistry

37. For a spontaneous reaction at all temperatures which of the following is correct?

A.Both $\Delta H$ and $\Delta S$ are positiveB.$\Delta H$ is positive and $\Delta S$ is negativeC.$\Delta H$ is negative and $\Delta S$ is positiveD.Both $\Delta H$ and $\Delta S$ are negative

Chemistry

38. If the half-life ($t_{1/2}$) for a first order reaction is $1\text{ minute}$, then the time required for $99.9\%$ completion of the reaction is closest to:

A.$5\text{ minutes}$B.$10\text{ minutes}$C.$2\text{ minutes}$D.$4\text{ minutes}$

Chemistry

39. What is the reaction at the anode in a hydrogen peroxide ($\mathrm{H_2O_2}$) fuel cell?

A.$\mathrm{H_2O_2 \rightarrow O_2 + 2H^+ + 2e^-}$B.$\mathrm{H_2O_2 + 2H^+ + 2e^- \rightarrow 2H_2O}$C.$\mathrm{H_2 \rightarrow 2H^+ + 2e^-}$D.$\mathrm{O_2 + 4H^+ + 4e^- \rightarrow 2H_2O}$

Chemistry

40. Fog is a colloidal solution of:

A.solid in gasB.gas in gasC.liquid in gasD.gas in liquid

Chemistry

41. The correct pair of electron affinity order is:

A.$\mathrm{O > S,\ F > Cl}$B.$\mathrm{O < S,\ Cl > F}$C.$\mathrm{S > O,\ F > Cl}$D.$\mathrm{S < O,\ Cl > F}$

Chemistry

42. The species in which nitrogen atom is in a state of $sp$ hybridization is:

A.$\mathrm{NO_3^-}$B.$\mathrm{NO_2}$C.$\mathrm{NO_2^+}$D.$\mathrm{NO_2^-}$

Chemistry

43. What is the correct condition required in Dow's Process?

A.Aqueous $\mathrm{NaOH}$ at $373\text{ K}$ and $1\text{ atm}$B.Dry $\mathrm{NaOH}$ at $273\text{ K}$ and $100\text{ atm}$C.Aqueous $\mathrm{NaOH}$ at $623\text{ K}$ and $300\text{ atm}$D.Aqueous $\mathrm{KOH}$ at $298\text{ K}$ and $1\text{ atm}$

Chemistry

44. Which of the following is radioactive?

A.HydrogenB.DeuteriumC.TritiumD.none

Chemistry

45. $\mathrm{Na_2CO_3}$ is prepared by Solvay process but $\mathrm{K_2CO_3}$ cannot be prepared by the same because:

A.$\mathrm{K_2CO_3}$ is highly soluble in $\mathrm{H_2O}$B.$\mathrm{KHCO_3}$ is sparingly solubleC.$\mathrm{KHCO_3}$ is appreciably solubleD.$\mathrm{KHCO_3}$ decomposes

Chemistry

46. The correct order of acidity of the following hydra acids is:

A.$\mathrm{HF > HCl > HBr > HI}$B.$\mathrm{HF < HCl < HBr < HI}$C.$\mathrm{HF < HCl > HBr > HI}$D.$\mathrm{HF > HCl < HBr > HI}$

Chemistry

47. Magnetic moment $2.84\text{ B.M.}$ is given by ($\text{At. Nos. } \mathrm{Ni} = 28,\ \mathrm{Ti} = 22,\ \mathrm{Cr} = 24,\ \mathrm{Co} = 27$):

A.$\mathrm{Cr^{2+}}$B.$\mathrm{Co^{2+}}$C.$\mathrm{Ni^{2+}}$D.$\mathrm{Ti^{3+}}$

Chemistry

48. Sodium nitroprusside is:

A.$\mathrm{Na_4[Fe(CN)_5NO_2]}$B.$\mathrm{Na_2[Fe(CN)_5NO]}$C.$\mathrm{Na_3[Fe(CN)_5NO]}$D.$\mathrm{Na_4[Fe(CN)_5NO_3]}$

Chemistry

49. The common name of $\mathrm{CH_3-O-CH(CH_3)-CH_3}$ is:

A.2--methyl $n$--ethyletherB.ethyletherC.methyletherD.methyl iso--propyl ether

Chemistry

50. The correct order of boiling points of N-ethylethanamine (I), ethoxyethane (II) and butan-2-ol (III) is:

A.$\mathrm{III < II < I}$B.$\mathrm{II < III < I}$C.$\mathrm{II < I < III}$D.$\mathrm{III < I < II}$

Chemistry

51. How many chiral carbon atoms are present in 2-chloro-3,4,5-trimethylhexane?

A.$4$B.$3$C.$2$D.$1$

Chemistry

52. When a solid is heated, it turns directly into a gas. This process is called:

A.condensationB.evaporationC.sublimationD.diffusion

Chemistry

53. The major products obtained during ozonolysis of 2,3-dimethyl-1-butene and subsequent reductions with $\mathrm{Zn}$ and $\mathrm{H_2O}$ are:

A.methanoic acid and 2-methyl-2-butanoneB.methanol and 3-methyl-2-butanoneC.methanol and 2,2-dimethyl-3-butanoneD.methanoic acid and 2-methyl-3-butanone

Chemistry

54. Identify 'A' in the following reaction: A + Acetyl chloride $\xrightarrow{\text{anhydrous }\mathrm{AlCl_3}}$ 2-Chloroacetophenone + 4-Chloroacetophenone

A.BenzeneB.ChlorobenzeneC.TolueneD.Phenol

Chemistry

55. What is the common name of Benzene-1,3-diol?

A.CatecholB.ResorcinolC.QuinolD.Pyrogallol

Chemistry

56. Identify the reagent used for Rosenmund reaction:

A.$\mathrm{H_2 / Ni}$B.$\mathrm{H_2 / Pd, BaSO_4}$C.$\mathrm{Na-Hg / H_2O}$D.$\mathrm{SnCl_2 - H_2O}$

Chemistry

57. Identify correct decreasing order of basic strength of amines from following:

A.$(\mathrm{CH_3)_3N > (CH_3)_2NH > CH_3NH_2}$B.$(\mathrm{CH_3)_2NH > CH_3NH_2 > (CH_3)_3N}$C.$(\mathrm{CH_3)_2NH > (CH_3)_3N > CH_3NH_2}$D.$\mathrm{CH_3NH_2 > (CH_3)_2NH > (CH_3)_3N}$

Chemistry

58. Which one of the following is a condensation polymer?

A.PVCB.TeflonC.DacronD.Polystyrene

Chemistry

59. What type of glycosidic linkages are present in amylose?

A.$\alpha-1,4$B.$\alpha-1,6$C.$\alpha-1,4 \text{ and } \alpha-1,6$D.$\beta-1,4 \text{ and } \alpha-1,6$

Chemistry

60. Which of the following is an example of an addition polymer?

A.PVCB.Nylon-6,6C.BakeliteD.Dacron

English

Reading Passage:

There are three main groups of oils-animal vegetable and mineral. Great quantities of animal oil come from whales whose enormous creatures of the sea which are the largest of the animals remaining in the world. To protect the whales from the cold of the Arctic seas nature has provided them with a thick covering of fat called blubber. When the whale is killed the blubber is stripped off and boiled down. It produces a great quantity of oil which can be made into food for human consumption. A few other creatures yield oil but none so much as the whale. The livers of the cod and halibut two kinds of fish yield nourishing oil. Both cod liver oil and halibut oil are given to sick children and other invalids who need certain vitamins. Vegetable oil has been known from very old times. No household can get on without it for it is used in cooking. Perfumes may be made from the oils of certain flowers. Soaps are made from vegetable and animal product and the oils of certain flowers.

61. The main source of animal oil is

A.fishB.whaleC.sea weedsD.plants

English

Reading Passage:

There are three main groups of oils-animal vegetable and mineral. Great quantities of animal oil come from whales whose enormous creatures of the sea which are the largest of the animals remaining in the world. To protect the whales from the cold of the Arctic seas nature has provided them with a thick covering of fat called blubber. When the whale is killed the blubber is stripped off and boiled down. It produces a great quantity of oil which can be made into food for human consumption. A few other creatures yield oil but none so much as the whale. The livers of the cod and halibut two kinds of fish yield nourishing oil. Both cod liver oil and halibut oil are given to sick children and other invalids who need certain vitamins. Vegetable oil has been known from very old times. No household can get on without it for it is used in cooking. Perfumes may be made from the oils of certain flowers. Soaps are made from vegetable and animal product and the oils of certain flowers.

62. Vegetable oil is mainly used for

A.eatingB.cookingC.fryingD.lubricating

English

Reading Passage:

There are three main groups of oils-animal vegetable and mineral. Great quantities of animal oil come from whales whose enormous creatures of the sea which are the largest of the animals remaining in the world. To protect the whales from the cold of the Arctic seas nature has provided them with a thick covering of fat called blubber. When the whale is killed the blubber is stripped off and boiled down. It produces a great quantity of oil which can be made into food for human consumption. A few other creatures yield oil but none so much as the whale. The livers of the cod and halibut two kinds of fish yield nourishing oil. Both cod liver oil and halibut oil are given to sick children and other invalids who need certain vitamins. Vegetable oil has been known from very old times. No household can get on without it for it is used in cooking. Perfumes may be made from the oils of certain flowers. Soaps are made from vegetable and animal product and the oils of certain flowers.

63. The liver of fish yields nourishing oil

A.liverB.stomachC.eyesD.head

English

Reading Passage:

There are three main groups of oils-animal vegetable and mineral. Great quantities of animal oil come from whales whose enormous creatures of the sea which are the largest of the animals remaining in the world. To protect the whales from the cold of the Arctic seas nature has provided them with a thick covering of fat called blubber. When the whale is killed the blubber is stripped off and boiled down. It produces a great quantity of oil which can be made into food for human consumption. A few other creatures yield oil but none so much as the whale. The livers of the cod and halibut two kinds of fish yield nourishing oil. Both cod liver oil and halibut oil are given to sick children and other invalids who need certain vitamins. Vegetable oil has been known from very old times. No household can get on without it for it is used in cooking. Perfumes may be made from the oils of certain flowers. Soaps are made from vegetable and animal product and the oils of certain flowers.

64. The thick protective covering of fat on a whale is called a

A.skinB.cellsC.blubberD.fins

English

Reading Passage:

There are three main groups of oils-animal vegetable and mineral. Great quantities of animal oil come from whales whose enormous creatures of the sea which are the largest of the animals remaining in the world. To protect the whales from the cold of the Arctic seas nature has provided them with a thick covering of fat called blubber. When the whale is killed the blubber is stripped off and boiled down. It produces a great quantity of oil which can be made into food for human consumption. A few other creatures yield oil but none so much as the whale. The livers of the cod and halibut two kinds of fish yield nourishing oil. Both cod liver oil and halibut oil are given to sick children and other invalids who need certain vitamins. Vegetable oil has been known from very old times. No household can get on without it for it is used in cooking. Perfumes may be made from the oils of certain flowers. Soaps are made from vegetable and animal product and the oils of certain flowers.

65. ......... are made from vegetable animal products and the oils of certain flowers.

A.PerfumesB.CosmeticsC.Cooking mediumD.Soaps

English

66. Choose the synonym of: SUPERSTITIOUS

A.piousB.traditionalC.irrationalD.sacred

English

67. Choose the synonym of: MENTOR

A.guideB.geniusC.stylistD.philosopher

English

68. Choose the synonym of: GARNISH

A.paintB.adornC.gamerD.banish

English

69. Choose the synonym of: INFRUCTUOUS

A.meaninglessB.unnecessaryC.redundantD.fruitless

English

70. Choose the synonym of: FIDELITY

A.affectionB.allegianceC.accuracyD.loyalty

English

71. Only one of the boys ......... not done the home-work given yesterday.

A.haveB.hasC.canD.could

English

72. Hopes of a settlement depends on the ......... of the discussion.

A.findingsB.outcomesC.break throughD.resolutions

English

73. We must avail ourselves ......... every opportunity that comes ......... our way.

A.of inB.on inC.against forD.to in

English

74. It is time we ......... with determination.

A.actB.actedC.have actedD.will act

English

75. When the thief entered the house the inmates ......... in the hall.

A.were sleptB.were sleepingC.sleptD.had been sleeping

English

76. Choose the antonym of: INTEGRATION

A.unityB.synthesisC.linkingD.fragmentation

English

77. Choose the antonym of: MINIATURE

A.largeB.smallC.heavyD.least

English

78. Choose the antonym of: EXHAUSTS

A.tiresB.emptiesC.invigoratesD.drains

English

79. Choose the antonym of: DISTANT

A.farB.closeC.imminentD.along

English

80. Choose the antonym of: TRANSPARENT

A.clearB.ambiguityC.opaqueD.crystal

English

81. What is the meaning of: "a dark horse"

A.an unforeseen competitorB.a black horseC.a nightmareD.an unknown person

English

82. What is the meaning of: "to run across"

A.to have an appointed meetingB.to meet by chanceC.to run in the playgroundD.to run very fast

English

83. What is the meaning of: "to get one's own back"

A.to get one's revengeB.to get control over someoneC.to get one's position backD.to get hold of someone

English

84. What is the meaning of: "to steer clear of"

A.to drive carefullyB.avoidC.explain clearlyD.escape

English

85. What is the meaning of: "to beat a retreat"

A.to withdraw in defeat or humiliationB.to withdraw after scoring a victoryC.to march back after a ceremonious paradeD.to run away in fear

English

86. Choose the correct word for: abolish, terminate, invalidate

A.nullifyB.permitC.restoreD.provoke

English

87. Choose the correct word for: stubborn, obstinate, unyielding

A.docileB.pliantC.adamantD.cowardly

English

88. Choose the correct word for: calm, placid, serene

A.turbulentB.tranquilC.fierceD.noise

English

89. Choose the correct word for: lessen, diminish, curtail

A.expandB.amplifyC.alleviateD.revive

English

90. Choose the correct word for: criticize, blame, reprimand

A.approveB.commendC.censureD.ignore