AIEEE Part Test – 1

CHEMISTRY1. A matter is defined as one which has

a. no mass but occupies space b. mass but occupies no spacec. mass and occupies space d. no mass and occupies no space

2. The process of mixing two or more gasses is called

a. diffusion b. effusionc. filtration d. sedimentation

2. The water when converted into gaseous form is called as

a. water gas b. water vapourc. fog d. snow

3. 3.68 g of a mixture of CaCO3, on reaction with 1000 mL of N/10 HCl solution produced 1.76 g of CO2. Calculate the percentage of CaCO3 and MgCO3

in the mixture.a. 54.3% and 45.66% b. 60% and 40%c. 70% and 30% d. None of these

4. It takes 2.56 × 10–3 equivalents of KOH to neutralise 0.1254 g H2XO4. The number of neutrons in X is

a. 16 b. 8 c. 8 d. 32

5. Potassium chromate and potassium sulphate (K2SO4) are isomorphous. If potasium chromate have 26.78% chromium then what should be the atomic weight of chromum (K = 39.10)

a. 58 b. 52c. 48 d. 49

6. A purified cytochrome protein was found to contain 0.376% iron. what is the minimum molecular mass of the protein ,

a. 14,800 b. 480 c. 148,000 d. 148

7. 615 gm of anhydrous ZnSO4 was placed in moist air After few days its weight was found to be 2.875 gm what is the molecular formula of hydrated salt,

a. ZnSO4.H2O b. ZnSO4.3H2O c. ZnSO4.7H2O d. ZnSO4.10H2O

8. The density of water at 4°C is 1.0 × 103 kg m-3. The volume occupied by one molecule of water is approximately

a. 3.0 × 10–23 mL b. 6.0 × 10–22 mL

c. 3.0 × 10–21 mL d. 9.0 × 10–23

mL9. When 1 L of CO2 is heated with graphite, the

volume of the gases collected is 1.5 L. Calculate the number of moles of CO produced at STP.

a.111 .2

b. 2822.4

c. 122.4

d. 1422.4

10. The number of moles of Cr2O72- needed to oxidize

0.136 equivalent of N2H5+

by the reaction N2H5

+ + Cr2O72- N2 + Cr3+ + H2O

a. 0.136 b. 0.272 c. 0.816 d. 0.0227

11. In the reaction,2CuSO4 + 4KI Cu2I2 + 2K2SO4 + I2 the ratio of equivalent weight of CuSO4 to its molecular weight is:

a. 1 / 8 b. 1 / 4 c. 1 / 2 d. 1

12. 3 × 10-3 mole K2Cr2O7 reacts completely with 4.5 ×

10-3 mole X+n to give XO3 & Cr3+. The value of n is

a. 3 b. 1 c. 0 d. 4

13. Determine which of the following contains the greatest mass of carbon atoms

a. 0.10 mole glucose b. 3.0 g ethanec. 1.0 g diamond d. 0.1 mole sucrose

14. Cu3P Cu2+ + PO43-. Calculate the equivalent

weight of Cu3P if molecular weight of Cu3P is Ma. M/8 b. M/9 c. M/11 d. M/3

15. 2g sample of a mixture of Na2CO3 (anhydrous) and NaHCO3 containing 42% NaHCO3 was heated to constant heat. The mass of the residue (solid) left will be (MW = Na2CO3 = 106 and NaHCO3 = 84

a. 1.16g b. 0.84g c. 2g d. 1.69g

16. The equivalent weight of ferric oxalate in the reaction with KMnO4/H+ is where M = molecular weight of ferric oxalate

a. M/6 b. M/3 c. M d. M/2

17. Calculate the number of oxygen atoms required to combine with 7g of N2 to form N2O3 when 80% of N2 is converted to N2O3

a. 2.3 × 1023 b. 3.6 × 1023 c. 1.8 × 1021 d. 5.4 × 1021

18. Consider the following pairs:(I)CH4, C2H6 (II) CO, CO2 (III) NO, NO2 (IV) H2O, H2O2

In which cases, law of multiple proportion is followed?

a. I, II b. I, II, III c. I, III, IV d. I, II, III, IV

19. Cl1735 and Cl17

37 are two isotopes of chlorine. If average atomic mass is 35.5 then ratio of thesetwo isotopes is:

a. 35 : 37 b. 1 : 3

c. 3 : 1 d. 2 : 120. Each drop of H2O has 0.018 mL at room

temperature. Number of H2O molecules in one drop is :

a. 1×10-3 b. 6.02×1020 c. 3 22.4 x 10-3 d. 6.02×3×102

21. If Avogadro’s number would have been 1 x 10-10 , instead of 6.02×10-23 then mass of one atomof H would be :

a. 1 amu b. 6 amu c. 1×1023 amu d. 6.02×1023 amu

22. CO, CO2, C2O3 follow :a. law of definite proportion b. law of multiple proportionc. law of conservation of mass d. all of the above

23. The smallest particle of a substance that is capable of independent existence is _________.

a. Atom b. Molecule c. Electron d. Proton

24. The number of atoms in a molecule of the elementary substance is called ________.

a. Atomic number (b)Avogadro numberc. Atomic mass (d) Atomicity

25. After a chemical reaction, the total mass of reactants and products

a. Is always increased b. Is always decreasedc. Is not changedd. Is always less or more

26. The law of multiple proportions is illustrated by the two compounds

a. Sodium chloride and sodium bromide b. Ordinary water and heavy waterc. Caustic soda and caustic potash d. Sulphur dioxide and Sulphur trioxide

27. Which of the following pairs of substances illustrate the law of multiple proportions

a. CO and CO2 b. H2O and D2Oc. NaCl and NaBr d.MgO&Mg(OH)2

28. What is the mass of 1 molecule of water in grams?

a. 18 b. 18 x 1000c. 3.0 x 10-23 d. none

29. Calculate the mass % of nitrogen in hydrazinium sulphate (N2H5)2SO4. (MM = 162.2)

a. 10.8 b. 17c. 34.5 d. 51.2

30. One mole of an element contains 4.2 x 1024

electrons. What is the atomic no of the element?a. 2 b. 4c. 7 d. 8

PHYSICS31. A train accelerates from rest at a constant rate a

for distance x1 and time t1. After that it retards to

rest at constant rate for distance x2 and time t2.β Which of the following relation is correct?

a.x1x2

=αβ=t 1t 2

b. x1x2

= βα=t 1t 2

c .x1x2

=βα

=t2t1

d. x1x2

=αβ=t 2t 1

32. A car moving with a speed of 50 km/hr, can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is

a. 12 m b. 18 mc. 24 m d. 6 m.

33. The velocity of a particle is v = v0 + gt + f t2. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is

a. v0 + g/2 + f b. v0 + 2g + 3fc. v0 + g/2 + f/3 d. v0 + g + f

34. A particle is moving eastwards with a velocity of 5 m/s. In 10 s the velocity changes to 5 m/s northwards. The average acceleration is this time is

a. Zero b. 1

√2m /s−2 N.Et

c .1

√2m /s−2 N.W d.

12m /s−2 North

35. Two stones are thrown up simultaneously with initial speeds of u1 and u2 (u2 > u1). They hit the ground after 6s and 10s respectively. Which graph in figure correctly represents the time variation of Dx = (X2 – X1), the relative position of the second stone with respect to the first upto t = 10s? Assume that the stones do not rebound after hitting the ground.

36. A particle located at x = 0 at time t = 0, starts moving along the positive x - direction with a velocity v that varies as v = a x . The displacement of the particle varies with time as

a. t3 b. t2

c. t d. none37. The raindrops are hitting the back of a man

walking at a speed of 5 km/hr. If he now starts

running in the same direction with a constant acceleration, the magnitude of velocity of the rain with respect to him will

a. gradually increase b. gradually decreasec. first decrease then increase d. first increase then decrease

38. Two bodies A and B start from rest and from the same point with a uniform acceleration of 2 m/s2. If B starts one second later, then the two bodies are separated, at the end of the next second,by:

a. 1 m b. 2 m c. 3 m d. 4 m

39. Figure shows the position - time (x - t) graph of the motion of two boys A and B returning from their school O to their homes P and Q respectively. Which of the following statement is true?

a. A walks faster than Bb. Both A and B reach home at the same

timec. B starts for home earlier than Ad. A overtakes B on his way to home

40. The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an velocity v0. The distance traveled by the particle in time t will be:

a. V o t+16b t 3 b. V o t+

13b t3

c .V ot+13b t 2 d. V o t+

12b t2

41. The relation between time t and distance x is t=ax2+bxwhere a and b are constants. The acceleration is

a. −¿2av3 (b) 2av2

c. –2av2 (d) 2bv3

42. A body is thrown vertically upwards in air. When air resistance is taken into consideration, let the time of ascent be t1 and time of descent be t2. Then

a. t1 = t2 b. t1 < t2c. t1 > t2 d. t1 > = < t2

43. The displacement of a particle as a function of time is shown in figure. The figure indicates that

a. the particle starts with a certain velocity, but the motion is retarded and finally the particle stops

b. the velocity of the particle is constant throughout

c. the acceleration of the particle is constant throughout

d. the particle starts with a constant velocity, the motion is accelerated and finally the particle moves with another constant velocity

44. A ball is released from a balloon 10 sec after it starts ascending with a uniform acceleration of 1.96 m/sec2. If the acceleration due to gravity is 9.8 m/sec2, then the greatest height above the ground reached by the ball is:

a. 115 m b. 95.6 m c. 117.6 m d. 121 m

45. A body moving with a uniform acceleration describes 55 m in the sixth second from rest. How much distance will it move in the 8th second

a. 25 m b. 50 m c. 75 m d. 100 m

46. The acceleration time graph of a particle moving along a straight line is as shown in figure. At what time the particle acquires itsinitial velocity?

a. 12s b. 5sc. 8s d. 16s

47. A burglar's car had a start with an acceleration of 2 m/sec2. A police vigilant party came in a car to the spot at a velocity of 20 m/sec after 5 seconds and continued to chase the burglars car with a uniform velocity. The time in which the police van will overtake the car is

a. 10 sec b. 20 sec c. 5 sec d. 15 sec

48. A graph between the square of the velocity of a particle and the distance s moved by the particle

is shown in the figure. The acceleration of the particle in kilometer per hour square is:

a. 2250 b. 225c. 2250 d. 225

49. A point initially at rest moves along the X - axis. Its acceleration varies with time as α=¿ 4t. If it starts from the origin, the distance covered by it in 3 second is:

a. 12 m b. 18 m c. 24 m d. 36 m

50. If velocity(V), force (F) & energy(E) are taken as fundamental units, the dimensional formula of mass would be

a. [V2F0E] b. [V0FE2]c. [VF-2E0] d. none

51. Dimension of 1

μ0 ε0 where symbols have their

usual meaning area. L-1T b. L-2Tc. L2T-2 d. none

52. The physical quantities not having same dimensions are

a. torque and work b. momentum and Planck’s constantc. stress and Young’s modulus d. speed and (µ0ε0)−1/2

53. Three forces start acting simultaneously on a particle moving with velocity v. These forces are represented in magnitude and direction by the three sides of a triangle ABC(as shown). The particle will now move with velocity

a. less than v→

b. greater than v→

c. |v|→

in the direction of the largest force BC

d. v→

remains unchanged.

54. The length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase in the time period of the pendulum of increased length is

a. 11% b. 21% c. 42% d. 10%

55. Let F be the force acting on a particle having

position vector r→

and T→

be the torque of this

force about the origin. Then

a. r . T=0∧F .T ≠0b. r . T ≠0∧F .T=0c. r . T=0∧F .T=0d. None

56. The co-ordinates of a moving particle at any time t are given by x = tα 3 and y = tβ 3 .The speed to the particle at time t is given by

a. 3 t 2√α 2+β2b .3 t √α2+β2c .3√α 2+ β2d .None.

57. The length of a given cylindrical wire is increased by 100%. Due to the consequent decrease in diameter the change in the resistance of the wire will be

a. 200% b. 100%c. 50% c. 300%

58. Which one of the following represents the correct dimensions of the coefficient of viscosity?

a. [M L−1T−1 ] b.

[M L0T−1 ]c . [M L−1T−2 ] d. none

59. If A× B=B× A , then the angle between A and B is

a. π b. /3 πc. /2 π d. /4 π

60. A force F (5 i+3 j+2 k )is applied over a particle which displaces it from its origin to the point r(2 i ! − j ! ). The work done on the particle in joules is

a. -7 b. +7c. +10 d. +13