MEGA TEST FOR RAYS GOLD MEDAL

WARNING : Any attempt to commit malpractice in the examination will lead to the ‘Disqualification’ of the candidate

PLUS ONE - ENGINEERING PHYSICS AND CHEMISTRY

Version Code

A

Time : 2½ Hours Number of Questions: 120 Maximum marks : 480

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INSTRUCTIONS TO CANDIDATES

1. Write your Name and Reg. number and put your signature in the space provided above 2. Use blue or black ink ball point pen for bubbling. 3. Use of calculators and logarithm tables are prohibited.

IMMEDIATELY AFTER OPENING THE QUESTION BOOKLET, CANDIDATE SHOULD VERIFY WHETHER THE QUESTION BOOKLET ISSUED CONTAINS ALL THE 120 QUESTIONS IN SERIAL ORDER. IF NOT, REQUEST FOR

REPLACEMENT

DO NOT OPEN THE BOOKLET UNTIL THE INVIGILATOR ASKS YOU TO DO SO

1. Which of the following is not used as the unit of length?a) micron b) light yearc) angstrom d) radian

2. When the speed of the car is v, the minimum distance over which it can be stopped is x. if the speed becomes nv, what will be the minimum distance over which it can be stopped during same time.a) x/n b) nx c) x/n2 d) n2x

3. Two cars C1 and C2 are moving on parallel roads in the same direction with velocity v. the relative velocity of C 1 w.r.t. C2 isa) directed towards C2 b) directed towards C1

c) zero d) none of these4. The least count of the metre rod is 0.1cm. What is the permissible error in the length of the rod measured with it?

a) ±0.2cm b) ±0.1cmc) ±0.05cm d) ±0.01 cm

5. The slope of velocity-time graph for motion with uniform velocity is equal toa) initial velocity b) final velocityc) zero d) none of these

6. A projectile is projected with a kinetic energy K. its range is R. It will have the minimum kinetic energy, after covering a horizontal distance equal toa) 0.25R b) 0.5R c) 0.75R d) R

7. The instantaneous height y and the horizontal distance x covered by a particle are as follows Y=bt2, x=ct2. What is the speed of the particle one second after the firing?a) 2(b+c) b) 2(b-c) c) 2(b2+c2)1/2 d) 2(b2-c2)1/2

8. The distance travelled by a body dropped from the top of a tower is proportional toa) mass of the body b) weight of the bodyc) height of the tower d) square of time elapsed

9. If the magnitude of vector and are 12, 5 and 13 units respectively and = , then

angle between and will be

a) 0o b) π c)

d)

10. The fig. shows displacement time graph of a particle moving on a straight line path. What is the average velocity of the particle ?

a) 2 ms-1 b) 8 ms-1 c) 10 ms-1 d) 16 ms-1

.………………………………………………….…Space for Rough work…………………….…………………………11. The magnitude of the momentum of a particle is increased by 100%. If the initial kinetic energy be K, then what will be

the kinetic energy now ?a) 8 K b) 4 K c) 3 K d) 2 K

12. The Young’s modulus is numerically equal to the stress that arises in a wire when its length changes from l to a) 1.25 l b) 1.50 l c) 1.75 l d) 2.00 l

13. A wire of length L, area of cross-section A is stretched by a force F. The change in length of the wire is l. Which of the following statements is wrong ?a) 1∝ F b) 1 ∝ A c) 1 ∝ L d) none of the above

14. What makes the hair of shaving brush cling together when taken out of water a) Gravity b) Surface tension c) Viscosity d) Attraction between the hair

15. A boy has a box of weight 20kg. Then the energy of the box when he keeps the box in his hand for 5 minute isa) 100J b) 80J c) 4J d) zero

16. Two projectiles are fired from the same point with the same speed at angles of projection 60o and 30o respectively. Which one of the following is true ?a) Their range will be sameb) Their maximum height will be same c) Their landing velocity will be same d) Their time of flight will be same

17. Which of the following quantities remains constant in a planetary motion with reference to the sun ?a) Speed b) Kinetic energyc) Angular momentum d) Angular speed

18. How much energy will be necessary for making a body of 500 kg escape from the earth ? ( g = 9.8 m/s 2, radius of the earth = 6.4 × 106 m) ?a) About 9.8 × 106 J b) About 6.4 × 108 Jc) About 3.1 × 1010 J d) About 27.4 × 1012J

19. What is the work done by a force of 1 g f in displacing a body of 5 g through 1 cm ? Take g = 10 m s-2. a) 50 J b) 5 J c) 0.01 J d) 0.0001J.………………………………………………….…Space for Rough work…………………….…………………………

20. On a smooth plane surface (fig. below) two blocks A and B are accelerated up by applying a force 15 N on A. If mass of B is twice that of A, the force on B is

a) 30 N b) 15 N c) 10 N d) 5N21. A cylindrical vessel is filled with water as shown in fig. A hole should be bored so that the water comes out upto

maximum distance

a) H height from the surface b) H/2 height from the surfacec) H/4 height from the surfaced) 3H/4 height from the surface

22. A lift is ascending by acceleration g/3. What will be the time period of a simple pendulum suspended from its ceiling if its time period in stationary lift is T

a) b) c)

d)

23. Which of the following works on “Pascal’s Law “ ?a) Aneroid barometer b) Hydraulic liftc) Venturimeter d) Sprayer

24. A satellite of mass ms is moving in an orbit of radius R. Its angular momentum is

a) b)

c)

d)

25. The acceleration due to gravity is g at a point distance r from the centre of earth of radius R. If r < R, then a) g ∝ r b) g ∝ r2 c) g ∝ r-1 d) g ∝ r-2

26. A force acts on a particle and produces a displacement of . If

the work done is zero, the value of x isa) -2 b) 1/2 c) 6 d) 3 e) 2.………………………………………………….…Space for Rough work…………………….…………………………

27. A ball rolls off the top of a stairway with a horizontal velocity u(m/s). If the steps are h(m) high and b(m) in breadth and the ball just hits the edge of the nth step, the initial velocity of the ball is

a) b) c) d)

28. Pascal – second has the dimensions of a) Energy b) Coefficient of viscosityc) Pressure d) Force

29. In the given diagram, S1 and S2 are identical springs. The frequency of oscillation of the mass m is f . If one spring is removed, the frequency will be

a) b)

c)

d) 2f

30. A long spring is stretched by 2 cm. Its potential energy is v. If the spring is stretched by 10 cm, the potential energy stored in it will be a) v/25 b) v/5 c) 5v d) 25 v

31. A particle executes simple harmonic motion between x = – A and x = +A. The time taken for it to go from 0 to

is T1 and to go from A/2 to A is T2. Then

a) T1 < T2 b) T1 > T2

c) T1 = T2 d) T1= 2T2

32. A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work done against the gravitational force between them to take the particle away from the sphere [G = 6.67 × 10-11 Nm2 kg-2]a) 6.67 × 10-9 J b) 6.67 × 10-10 Jc) 3.33 × 10-10 J d) 13.34 × 10-10 J

33. A copper disc with a central hole is heated. The diameter of the holea) Increasesb) Decreasesc) First decreases, then increasesd) Remains unchanged

34. A body is moving in a circular path with a constant speed; its acceleration acts in a direction a) Along the tangent b) Along the circumferencec) Along the radius towards the centerd) Along the radius away from the centre.………………………………………………….…Space for Rough work…………………….…………………………

35. If a running boy jumps on a rotating table which of the following is conserveda) Linear momentum b) KEc) Angular momentum d) None of these

36. For a particle executing SHM the KE is given by K = K0 cos2ω t. The maximum value of potential energy is a) K0 b) Zero c) K0/2 d) Not obtainable

37. A body of mass 3 kg is acted on by a force which varies as shown in the graph. The momentum acquired is given by

a) Zero b) 5 N-s c) 30 N-s d) 50 N-s38. A man of weight W is standing on a lift which is moving upward with an acceleration ‘a’ ; the apparent weight of the

man is a) W(1+a/g) b) Wc) W(1 - a/g ) d) W(1-a2 /g2)

39. An engine develops 10 kW of power. How much time will it take to lift a mass of 200 kg to a height of 40m? ( g = 10 m/s2)a) 4 s b) 5 s c) 8 s d) 10 s

40. Two blocks A (20 kg) and B (50 kg) lying on a frictionless table are connected by a light string. The system is pulled horizontally with an acceleration of 2 m/s2 by a force F on B. The tension in the string is a) 40 N b) 100 N c) 35 N d) 140 N

41. The intensity of the earth’s gravitational field is maximum at a) The centre of the earth b) The equatorc ) The poles d) None of the above

42. A wire can support a load W without breaking. It is cut into two equal parts. The maximum load that each part can support is

a) b)

c) W d) 2W

43. Two capillary tubes of different diameters are dipped in water. The rise of water is a) Greater in the tube of smaller diameterb) Greater in the tube of larger diameterc) Same in both tubesd) Zero in both tubes.………………………………………………….…Space for Rough work…………………….…………………………

44. If the temperature difference between the two sides of a wall is doubled, its thermal conductivitya) Remains unchanged b) Is doubledc) Is halved d) Becomes four times

45. Coefficient of superficial expansion of a solid is 2× 10-5/oC: Its coefficient of linear expansion is a) 4 × 10-5 /o C b) 3× 10-5 /oCc) 1 × 10-5 /oC d) 2 × 10-5 /oC

46. The pair of physical quantities having different dimensions is a) Angular momentum and Planck’s constant b) Impulse and momentumc) Moment of inertia and moment of a forced) Young’s Modulus and stress

47. A simple pendulum of length L has period T on earth and Ts in a satellite, then a) T > Ts b) T < Ts

c) T = Ts d) Ts cannot be measured48. Three point masses m1, m2 and m3 are placed at the three vertices A, B and C respectively of an equilateral triangle

having sides of length l. What is the moment of inertia of the system about the right bisector of side BC

a) b)

c) d)

49. According to Hooke’s law of elasticity, if stress is increased, then the ratio of stress to strain a) increases b) decreasesc) becomes zero d) remains constant

50. A wire fixed at the upper end stretches by length l by applying a force F. The work done in stretching isa) F/2l b) Flc) 2Fl d) (1/2 )Fl

51. Why the dam of water reservoir is thick at the bottom?a) quantity of water increases with depthb) density of water increases with depthc) pressure of water increases with depthd) temperature of water increases with depth

52. An incompressible liquid flows through a horizontal tube as shown in the figure. Calculate the value of flow speed v3.

a) 2m/s b) 4m/sc) 8m/s d) none of these.………………………………………………….…Space for Rough work…………………….…………………………

53. Calculate the change in surface energy of a soap bubble when its radius decreases from 5cm to 1cm. Surface tension of soap solution = 2.8×10-2Nm-2.a) 6.3×10-3J b) 3.4×10-3Jc) 5.2×10-3J d) 1.7×10-3J

54. If two soap bubbles of different radii are in communication with each other, thena) air flows from larger bubble into the smaller oneb) the size of the bubble remains the samec) air flows from the smaller bubble into the larger one and the larger bubble grows at the expense of the smaller oned) there is no flow of air

55. If a thermometer reads melting point of water as 200C and boiling point as 1800C, how much does the thermometer read when the actual temperature is 600C?a) 980C b) 1160C c) 1200C d) 1260C

56. A solid sphere rolls without slipping down a plane inclined at an angle of 300 to the horizontal. Its linear acceleration isa) (5g)/14 b) (2g)/3 c) g/2 d) g/3

57. The angular momentum of a rotating body changes from A0 to 4A0 in 4 seconds. the torque acting on the body is

a) b) c) 3A0 d) 4A0

58. A body of mass 2kg is projected at 20m/s at an angle of 600 above the horizontal. power due to gravitational force at the highest point isa) 50W b) 100√3Wc) 200W d) zero

59. Two identical spheres of radius R are placed with their centres at a distance of nR, where n is an integer greater than 2. The gravitational force between them will be directly proportional to a) R-2 b) R2 c) R-4 d) R4

60. If newton and dyne are SI and C.G.S. units of force [MLT-2], then how many dynes will make a newton?a) 102 b) 103 c) 104 d) 105

61. An object of mass 20kg is attached to a vertical spring of force constant 2×104N/m. calculate the elongation in spring when the object is in equilibrium.a) 0.1m b) 0.01m c) 0.5m d) 0.05m

62. A train moving with speed 80m/s crosses a platform of 720m length in 10 sec. Find the length of the train?a) 80m b) 150m c) 90m d) 120m

63. A circular disc is rotating in a horizontal plane with a time period of π sec. At what distance a coin of mass 20 gm may be kept so that the coin may remain stationary? The coefficient of friction is 0.5.a) 1.25m b) 125m c) 12.5m d) zero.………………………………………………….…Space for Rough work…………………….…………………………

64. In an experiment refractive index of glass was observed to be 1.45, 1.56, 1.54, 1.44, 1.54 and 1.53. The mean absolute error in the experiment is

a) ±0.04 b) 0.02 c) -0.03 d) ±0.0165. A particle is moving eastwards with a velocity of 5m/s. In 10s the velocity changes to 5m/s northwards. The average

acceleration in this time isa) (1/√2 )m/s2 towards north-westb)(1/2) m/s2 towards northc) zerod) (1/2 )m/s2 towards north-west

66. A boy sitting on the top most berth in the compartment of a train which is just going to stop on a railway station, drops an apple aiming at the open hand of his brother situated vertically below his hands at a distance of about 2m. The apple will falla) precisely in the hand of his brotherb) slightly away from the hand of his brother in the direction of motion of the trainc) slightly away from the hand of his brother in the direction opposite to the direction of motion of the traind) none of these

67. A mass 2kg is whirled in a horizontal circle by means of a string at an initial speed of 5rev/min. Keeping the radius constant the tension in the string is doubled. The new speed is nearlya) 14 rpm b) 10 rpmc) 2.25 rpm d) 7 rpm

68. When a ball is whirled in a circle and the string supporting the ball is released, the ball flies off tangentially. This is due toa) the action of centrifugal forceb) inertia for linear motionc) centripetal force d) some unknown cause

69. An earth satellite X has an orbital radius which 4 times that of a communication satellite Y. The period of revolution of X isa) 4 days b) 8 days c) 12 days d) 16 days

70. To which type of fluid is the Bernoulli’s theorem strictly applicable? a) compressive b) anisotropicc) viscous d) none of these

71. A gun of mass M fires a bullet of mass m with maximum speed v. Given that m<M. the kinetic energy of the gun will bea) (1/2)mv2 b) (1/2)Mv2

c) more than (1/2)mv2 d) less than (1/2)mv2

72. A ball of mass M1 collides elastically and head on with another ball of mass M2 initially at rest. In which of the following cases the transfer of momentum will be maximuma) M1<M2 b) M1=M2

c) M1>M2 d) data is not sufficient to predict it73. The number of molecules in 16 g of methane is

a) 3.0 × 1023 b) 6.02 × 1023

c)

d)

.………………………………………………….…Space for Rough work…………………….…………………………74. Amongst LiCl, RbCl, BeCl2, MgCl2, the compounds with greatest and least ionic character respectively are:

a) LiCl and RbCl b) RbCl and BeCl2

c) RbCl and MgCl2 d) MgCl2 and BeCl2 75. Which molecule does not exist?

a) OF2 b) OF4 c) SF2 d) SF4

76. The enthalpy of the reaction, H2(g) + 1/2 O2(g) → H2O(g) is H1 and that of H2(g) + 1/2 O2(g) → H2O(l) is H2. Then a) H1 = H2 b) H1 > H2 c) H1 + H2 = 0 d) H1 < H2

77. The pH of a solution is 4. What should be the change in H+ ion concentration of the solution if pH is to be increased to 5. a) Halved b) Doubled c) Decreased by 10 times d) Decreased to half of its original value

78. The element with atomic number 56 belongs to a) actinoids b) lanthanoids c) Transition series d) Alkaline earth metals

79. Which of the following contains a banana bond.

a) B2H6 b) AlCl3

c) BCl3 d) BF3 e) BCl3.NH3

80. Number of atoms of oxygen present in 10. 6 g of Na2CO3 will be a) 6.02 × 1022 b) 12.04 × 1022

c) 1.806 × 1023 d) 31.80 × 1028

81. Only one element of ……………..forms hydride. a) group 6 b) group 7 c) group 8 d) group 9

82. When pH of a solution decreases, its H+ ion concentration. a) Decreases b) Increases c) Rapidly increases d) Remains always constant

83. IUPAC name of

a) 1, 2 –dichloro ethane b) 2, 2 – dichloro ethane c) 1, 1 – dichloro ethane d) Dichloro ethane

84. 2 mole of an ideal gas at 27oC temperature is expanded reversibly from 2 litre to 20 litre. The entropy change is: (R = 2 cal mol –1 K –1 )a) zero b) 9.2 c) 92.2 d) 5

85. An aqueous solution whose pH = 0 isa) Acidic b) Basic c) Neutral d) Amphoteric

86. The average oxidation number of I in KI3, Fe in Fe3O4 are respectively: a) –1/3, + 8/3 b) –1, + 8 c) 0, + 3 d) 0, + 2 .………………………………………………….…Space for Rough work…………………….…………………………

87. 8.2 litres of an ideal gas weighs 9.0 g. at 300 K and 1 atm. Pressure. The molecular mass of gas is. a) 9 b) 27 c) 54 d) 81

88. Quartz is a crystalline variety of a) Sodium silicate b) Silicon carbide c) Silicon d) Silica

89. Choose the correct statement(s) regarding lithium and alkali metals. I. Lithium is much harder. Its m.p. and b.p. are higher than other alkali metalsII. Lithium is highly reactive and strongest reducing agent. III. Lithium is deliquescent and crystallise as hydrates. IV. LiF is comparatively less soluble in water. a) I, III and IV are correct b) II and III are correct only c) I is correct only d) all are correct

90. According to MO theory, a) is paramagnetic and bond order is greater than O2 b) is paramagnetic and bond order is less than O2 c) is diamagnetic and bond order is less than O2

d) is diamagnetic and bond order is more than O2

91. The ground state of atom means that all the electrons are a) In the first orbit b) In the lowest possible energy state c) In the nucleus d) Having same energy

92. Which is not true in case of an ideal gas ? a) It cannot be converted into a liquid b) there is no interaction between the molecules c) All molecules of the gas move with same speed d) At a given temperature PV is proportional to the amount of the gas.

93. The weight of HCl present in one litre of solution, if pH of the solution is 1.a) 3.65 g b) 36.5 g c) 0.365 g d) 0.0365 g

94. In the case of Cl2, the bond is formed by a) transfer of electrons b) sharing of electrons c) Both (a) and (b) d) None of these

95. If the system does not exchange heat with the surroundings, the process is a) Non- adiabatic b) Adiabatic c) Partial thermal d) Isothermal

96. Number of electron involved in the reduction of Cr2O ion in acidic solution to Cr3+ is:

a) 3 b) 4 c) 2 d) 6

.………………………………………………….…Space for Rough work…………………….…………………………97. For the reaction, PCl5(g) PCl3(g) + Cl2(g)

a) Kp = Kc b) Kp = Kc [RT] –1

c) Kp = Kc [RT] d) Kp = Kc [RT]2

98. The halides of IIIA group elements are a) Lewis acids b) Lewis bases c) Bronsted acids d) Arrhenius acids

99. The entropy change for a reaction does not depend upon the a) Physical states of reactants and products b) Use of different reactants for the same product c) Nature of intermediate reaction steps d) Difference in initial or final temperatures of involved substances.

100.IUPAC name of

a) Iso – octane b) 2, 4, 4 – trimethyl pentane c) 2, 2, 4 – trimethyl pentane d) None of these

101.The values of x and y in the following redox reaction, xCl2 + 6OH– → ClO

+ yCl – + H2O are

a) x = 2, y = 4 b) x = 5 y = 3c) x = 3, y = 5 d) x = 4 y = 2

102.How many isomers are possible for pentane

a) 5 b) 4 c) 3 d) 2103.The types of hybrid orbitals of nitrogen in , and respectively are expected to be

a) sp, sp3 and sp2 b) sp, sp2 and sp3 c) sp2, sp and sp3 d) sp2, sp3 and sp

104.Which of the following statement is correct a) Ionic radius of metal is generally less than its atomic radius b) Atomic radius of non- metals is generally greater than their ionic radius c) Ionic radius of metal is almost same as its atomic radius d) Ionic radius of metal is greater than its atomic radius

105.For a reaction in equilibrium a) The reaction has stopped completely b) The rate of forward reaction is equal to the rate of backward reaction c) The forward reaction is faster than reverse reaction d) None of these

.………………………………………………….…Space for Rough work…………………….…………………………

106.B – H – B bridge in diborane is formed by the sharing of a) 2 electrons b) 4 electrons c) One electron d) Three electrons

107.Oxidation number of Cl in NOClO4 is: a) +7 b) –7 c) +5 d) –5

108.Planting more and more trees helps to: a) reduce CO2 in the air b) increase CO2 in the air c) reduce O2 in the air d) reduce CO2 and increase O2 in the air

109.An organic compound contains carbon, hydrogen and oxygen. Its elemental analysis gave C, 38.71% and

H, 9.67% and O, 51.62%. The empirical formula of the compound would be:a) CHO b) CH4O c) CH3O d) CH2O

110.Among the halides of the elements of group 13, the one which is most acidic is a) BF3 b) AlCl3 c) BCl3 d) BBr3

111.The incorrect order of decreasing oxidation number of S in compounds is: a) H2S2O7 > Na2S4O6 > Na2S2O3 > S8 b) H2SO5 > H2SO3 > SCl2 > H2Sc) SO3 > SO2 > S8 > H2Sd) H2SO4 > SO2 >H2S > H2S2O8

112.Calculate the wavelength of the first spectral line in Paschen series R = 109700 cm –1.

a) 18750 Å b) 17850 Åc) 15870 Å d) None of these

113.At low pressure, Van der Waals’ equation is reduced

to the compressibility factor can

be given as:

a) 1 –

b) 1 +

c) 1 +

d) 1 –

114.When a gas is subjected to adiabatic expansion, it gets cooled due to: a) Fall in temperature b) Loss in kinetic energy c) Decrease in velocity d) Energy spent in doing work

115.In the reaction, 3Br2 + 6CO + 3H2O → 5 Br– + 6HCO + BrOa) Bromine is oxidized and carbonate is reduced b) Bromine is reduced and water is oxidised c) Bromine is neither reduced nor oxidised d) Bromine is both reduced and oxidised

.………………………………………………….…Space for Rough work…………………….…………………………116.The most correct reason for colour of alkali metal ions is

a) presence of single valence electron b) excitation of valence electron c) emission of radiation in visible region during come back of electron to the ground state energy level d) None of the above

117.In graphite the adjacent sheets are held by a) Ionic bond b) covalent bond c) vander Waals forces d) Intermolecular bonding

118.The isomerism which exists between CH3CHCl2 and CH2Cl. CH2Cl is a) Chain b) Functional c) Positional d) Meta merism

119.Give the correct order of initials T or F for following statements. Use T if statement is true and F if it is false: I) The order of repulsion between different pair of electrons is lp – lp > lp – bp > bp – bp II) In general, as the number of lone pair of electrons on central atom increases, value of bond angle from normal bond angle also increasesIII) The number of lone pair on O in H2O is 2 while on N in NH3 is 1 IV) The structures of xenon fluorides and xenon oxyfluorides could not be explained on the basis of VSEPR theory a) TTTF b) TFTF c) TFTT d) TFFF

120.Green chemistry means such reactions which? a) are related to the depletion of ozone layer b) reduce the use and production of hazardous chemicals c) study of the reaction in plants d) produce colour during reactions.………………………………………………….…Space for Rough work…………………….…………………………