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AIEEE 2013 with Solutions

Sample Questions

The first ionization potential of Na is 5.1 eV. The value of electron gain enthalpy of Na+ will be:
(1) – 5.1 eV (3) –10.2 eV
(3) + 2.55 eV (4) – 2.55 eV

Which of the following is the wrong statement?
(1) O3 molecule is bent (2) Ozone is violet-black in solid state
(3) Ozone is diamagnetic gas (4) ONCl and ONO^– are not isoelectronic

A solution of (–) –1 – chloro –1 – phenylethane is toluene racemises slowly in the presence of a small amount of SbCl5, due to the formation of :
(1) carbene (2) carbocation
(3) free radical (4) carbanion

How many litres of water must be added to 1 litre of an aqueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2?
(1) 0.9 L (2) 2.0 L
(3) 9.0 L (4) 0.1 L

A compound with molecular mass 180 is acylated with CH₃COCl to get a compound with molecular mass 390. The number of amino groups present per molecule of the former compound is:
(1) 5 (2) 4
(3) 6 (4) 2

Synthesis of each molecule of glucose in photosynthesis involves:
(1) 10 molecules of ATP (2) 8 molecules of ATP
(3) 6 molecules of ATP (4) 18 molecules of ATP

Which of the following represents the correct order of increasing first ionization enthalpy for Ca, Ba, S, Se and Ar?
(1) S < Se < Ca < Ba < Ar (2) Ba < Ca < Se < S < Ar
(3) Ca < Ba < S < Se < Ar (4) Ca < S < Ba < Se < Ar

The gas leaked from a storage tank of the Union Carbide plant in Bhopal gas tragedy was:
(1) Methylamine (2) Ammonia
(3) Phosgene (4) Methylisocyanate

Which of the following exists as covalent crystals in the solid state?
(1) Silicon (2) Sulphur
(3) Phosphorous (4) Iodine

The circle passing through (1, −2) and touching the axis of x at (3, 0) also passes through the point
(1) (2, −5) (2) (5, −2)
(3) (−2, 5) (4) (−5, 2)

All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace
marks were given ?
(1) median (2) mode
(3) variance (4) mean

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AIEEE 2012 with Solutions

Sample Questions

The negation of the statement “If I become a teacher, then I will open a school” is
(1) I will become a teacher and I will not open a school
(2) Either I will not become a teacher or I will not open a school
(3) Neither I will become a teacher nor I will open a school
(4) I will not become a teacher or I will open a school

A wooden wheel of radius R is made of two semicircular parts (see figure); The two parts are held together by a ring made of a metal strip of cross sectional area S and length L. L is slightly less than 2πR. To fit the ring on the wheel, it is heated so that its temperature rises by ∆T and it just steps over the wheel. As it cools down to surrounding temperature, it presses the semicircular parts together. If the coefficient of linear expansion of the metal is α, and its Youngs’modulus is Y, the force that one part of the wheel applies on the other part is :
(1) 2πSYα∆T (2) SYα∆T (3) πSYα ∆T (4) 2SYα ∆T

The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant τ of this circuit lies between:
(1) 150 sec and 200 sec (2) 0 and 50 sec (3) 50 sec and 100 sec (4) 100 sec and 150 sec

A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; it is very difficult to stop. But if an aluminium plate is placed near to the coil, it stops. This is due to : (
1) development of air current when the plate is placed.
(2) induction of electrical charge on the plate
(3) shielding of magnetic lines of force as aluminium is a paramagnetic material.
(4) electromagnetic induction in the aluminium plate giving rise to electromagnetic damping.

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AIEEE 2011

Sample Questions

A screw gauge gives the following reading when used to measure the diameter of a wire. Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that 1 mm on main scale corresponds to 100 divisions of the circular scale.
The diameter of wire from the above date is :
(1) 0.052 cm (2) 0.026 cm (3) 0.005 cm (4) 0.52 cm

A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc:
(1) continuously decreases (2) continuously increases
(3) first increases and then decreases (4) remains unchanged

This question has Statement – 1 and Statement – 2. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement-1 : Sky wave signals are used for long distance radio communication. These signals are in general, less stable than ground wave signals.
Statement-2 : The state of ionosphere varies from hour to hour, day to day and season to season.
(1) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
(2) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
(3) Statement-1 is false, Statement-2 is true.
(4) Statement-1 is true, Statement-2 is false.

If a wire is stretched to make it 0.1% longer, its resistance will :
(1) increase by 0.2% (2) decrease by 0.2% (3) decrease by 0.05% (4) increases by 0.05%

Energy required for the electron excitation in Li++ from the first to the third Bohr orbit is :
(1) 36.3 eV (2) 108.8 eV (3) 122.4 eV (4) 12.1 eV

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AIEEE 2010 with Solutions

Sample Questions

One mole of a symmetrical alkene on ozonolysis gives two moles of an aldehyde having a molecular mass of 44 u. The alkene is
(1) propene (2) 1–butene (3) 2–butene (4) ethene

From amongst the following alcohols the one that would react fastest with conc. HCl and anhydrous ZnCl₂, is
(1) 2–Butanol (2) 2–Methylpropan–2–ol (3) 2–Methylpropanol (4) 1–Butanol

29.5 mg of an organic compound containing nitrogen was digested according to Kjeldahl’s method and the evolved ammonia was absorbed in 20 mL of 0.1 M HCl solution. The excess of the acid required 15 mL of 0.1 M NaOH solution for complete neutralization. The percentage of nitrogen in
the compound is
(1) 59.0 (2) 47.4 (3) 23.7 (4) 29.5

The edge length of a face centered cubic cell of an ionic substance is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is
(1) 288 pm (2) 398 pm (3) 618 pm (4) 144 pm

Out of the following, the alkene that exhibits optical isomerism is
(1) 3–methyl–2–pentene (2) 4–methyl–1–pentene
(3) 3–methyl–1–pentene (4) 2–methyl–2–pentene

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AIEEE 2009

Sample Questions

This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement – 1: For a charged particle moving from point P to point Q, the net work done by an electrostatic field on the particle is independent of the path connecting point P to point Q.
Statement-2: The net work done by a conservative force on an object moving along a closed loop is zero
(1) Statement-1 is true, Statement-2 is false
(2) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
(3) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
(4) Statement-1 is false, Statement-2 is true

A mixture of light, consisting of wavelength 590 nm and an unknown wavelength, illuminates Young’s double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of both lights coincide. Further, it is observed that the third bright fringe of known light
coincides with the 4th bright fringe of the unknown light. From this data, the wavelength of the unknown light is
(1) 393.4 nm (2) 885.0 nm
(3) 442.5 nm (4) 776.8 nm

In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a-degree(=0.5o
), then the least count of the instrument is
(1) one minute (2) half minute
(3) one degree (4) half degree

The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2=0.301) :
(1) 230.3 minutes (2) 23.03 minutes
(3) 46.06 minutes (4) 460.6 minutes

A binary liquid solution is prepared by mixing n-heptane and ethanol. Which one of the following statements is correct regarding the behaviour of the solution ?
(1) The solution formed is an ideal solution
(2) The solution is non-ideal, showing +ve deviation from Raoult’s law.
(3) The solution is non-ideal, showing –ve deviation from Raoult’s law.
(4) n-heptane shows +ve deviation while ethanol shows –ve deviation from Raoult’s law.

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AIEEE 2008

Sample Questions

A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semi−major axis is
(1) 8/3
(2) 2/3
(3) 4/3
(4) 5/3

A parabola has the origin as its focus and the line x = 2 as the directrix. Then the vertex of the
parabola is at
(1) (0, 2)
(2) (1, 0)
(3) (0, 1)
(4) (2, 0)

The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?
(1) a = 0, b = 7 (2) a = 5, b = 2
(3) a = 1, b = 6 (4) a = 3, b = 4

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AIEEE 2007

Sample Questions

A battery is used to charge a parallel plate capacitor till the potential difference between the  plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be
(1) 1 (2) 2 (3) 1/4 (4) 1/2

A current I flows along the length of an infinitely long, straight, thin walled pipe. Then
(1) the magnetic field is zero only on the axis of the pipe
(2) the magnetic field is different at different points inside the pipe
(3) the magnetic field at any point inside the pipe is zero
(4) the magnetic field at all points inside the pipe is the same, but not zero

In gamma ray emission from a nucleus
(1) both the neutron number and the proton number change
(2) there is no change in the proton number and the neutron number.
(3) only the neutron number changes
(4) only the proton number changes

The half-life period of a radio-active element X is same as the mean life time of another radioactive element Y. Initially they have the same number of atoms. Then
(1) X will decay faster than Y
(2) Y will decay faster than X
(3) X and Y have same decay rate initially
(4) X and Y decay at same rate always.

Carbon, silicon and germanium have four valence electrons each. At room temperature which one of the following statements is most appropriate?
(1) The number of free conduction electrons is significant in C but small in Si and Ge.
(2) The number of free conduction electrons is negligible small in all the three.
(3) The number of free electrons for conduction is significant in all the three.
(4) The number of free electrons for conduction is significant only in Si and Ge but small in C.

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AIEEE 2006

The increasing order of the rate of HCN addition to compounds A – D is

(A) HCHO (B) CH3COCH3 (C) PhCOCH3 (D) PhCOPh

(1) A < B < C < D (2) D < B < C < A (3) D < C < B < A (4) C < D < B < A

A reaction was found to be second order with respect to the concentration of carbon monoxide. If the concentration of carbon monoxide is doubled, with everything else kept the same, the rate of reaction will

(1) remain unchanged (2) triple (3) increase by a factor of 4 (4) double

The term anomers of glucose refers to

(1) isomers of glucose that differ in configurations at carbons one and four (C-1 and C-4) (2) a mixture of (D)-glucose and (L)-glucose (3) enantiomers of glucose (4) isomers of glucose that differ in configuration at carbon one (C-1)

Phenyl magnesium bromide reacts with methanol to give

(1) a mixture of anisole and Mg(OH)Br (2) a mixture of benzene and Mg(OMe)Br (3) a mixture of toluene and Mg(OH)Br (4) a mixture of phenol and Mg(Me)Br

The pyrimidine bases present in DNA are

(1) cytosine and adenine (2) cytosine and guanine (3) cytosine and thymine (4) cytosine and uracil

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AIEEE 2005

Sample Questions

Out of the following pairs, which one does not have identical dimensions ?

1. Angular momentum and Planck’s constant
2. Impulse and momentum
3. Moment of inertia and moment of a force
4. Work and torque

The relation between time t and distance x is t = ax² + bx, where a and b are constants. The acceleration is :

(a) – 2abv² (b) 2 bv³

(c) – 2av³ (d) 2av²

A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at 2m/s². He reaches the ground with a speed of 3 m/s. At what height, did he bail out ?

(a) 91 m (b) 182 m

(c) 293 m (d) 111 m

F=-kx with k = 15N/m. What will be its initial acceleration, if it is released from a point 20 cm away from the origin ?

(a) 3 m/s² (b) 15 m/s²

(c) 5 m/s² (d) 10 m/s²

Average density of the earth :

1. does not depend on g
2. is a complex function of g
3. is directly proportional to g
4. is inversely proportional to g

A 20 cm long capillary tube is dipped in water. The water rises upto 8 cm. If the entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be:

(a) 8 cm (b) 10 cm

(c) 4 cm (d) 20 cm

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AIEEE 2004

Sample Questions

Consider the ground state of Cr atom (Z = 24). The number of electrons with the azimuthal quantum numbers I =1 and 2 are respectively

12 and 4 (2) 16 and 5

16 and 4 (4) 12 and 5

Ans. 12 and 5

Which one the following ions has the highest value of ionic radius?

Li+ (2) F^–

(3) O^2- (4) B³+

Ans. O^2-

The wavelength of the radiation emitted, when in hydrogen atom electron falls from infinity to stationary state 1, would be (Rydberg constant = 1.097×10⁷ m^-1)

(1) 91 nm (2) 9.1×10^-8 nm

(3) 406 nm (4) 192 nm

Ans. 91 nm

The correct order of bond angles (smallest first) in H2S, NH3, BF3 and SiH4 is

(1) H2S < SiH4 < NH3 < BF3 (2) H2S < NH3 < BF3 < SiH4

(3) H2S < NH3 < SiH4 < BF3 (4) NH3 < H2S < SiH4 < BF3

Ans. H2S < NH3 < SiH4 < BF3

Which one the following sets of ions represents the collection of isoelectronic species?

(1) K+, Ca²+, Sc³+, Cl^– (2) Na+, Mg²+, Al³+, Cl^–

(3) K+, Cl^–, Mg²+, Sc³+ (4) Na+, Ca²+, Sc³+, Ans. K+, Ca²+, Sc³+, Cl^–

Among Al₂O₃, SiO₂, P₂O₃ and SO₂ the correct order of acid strength is

(1) SO2 < P2O3 < SiO2 < Al2O3 (2) Al2O3 < SiO2 < P2O3 < SO2

(3) Al₂O₃ < SiO₂ < SO₂ < P₂O₃ (4) SiO₂ < SO₂ < Al₂O₃ < P₂O₃

Ans. Al2O3 < SiO2 < P2O3 < SO2

The bond order in NO is 2.5 while that in NO+ is 3. Which of the following statements is true for these two species?

Bond length in NO+ is greater than in NO

Bond length is unpredictable

Bond length in NO⁺ in equal to that in NO

Bond length in NO is greater than in NO⁺

Ans. Bond length in NO is greater than in NO+

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