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AIEEE 2011 PYQ Mock Test

Medium 90 Questions 89 min 90 marks

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89 min · 90 marks · Full test mode with leaderboard

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1medium1 markmcq
The transverse displacement of a wave on a string is given by . This represents a:
2medium1 markmcq
A screw gauge gives the following reading when used to measure the diameter of a wire.Main scale reading : Circular scale reading : divisionsGiven that on main scale corresponds to divisions of the circular scale.The diameter of wire from the above data is:
3medium1 markmcq
A mass hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass and radius . Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass , if the string does not slip on the pulley, is:
4medium1 markmcq
Work done in increasing the size of a soap bubble from a radius of to is nearly (Surface tension of soap solution ):
5medium1 markmcq
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:
6medium1 markmcq
Two particles are executing simple harmonic motion of the same amplitude and frequency along the -axis. Their mean position is separated by distance (). If the maximum separation between them is , the phase difference between their motion is:
7medium1 markmcq
Two bodies of masses and are placed at a distance . The gravitational potential at a point on the line joining them where the gravitational field is zero is:
8hard1 markmcq
Two identical charged spheres suspended from a common point by two massless strings of length are initially a distance () apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result the charges approach each other with a velocity . Then as a function of distance between them:
9medium1 markmcq
A boat is moving due east in a region where the earth's magnetic field is due north and horizontal. The boat carries a vertical aerial long. If the speed of the boat is , the magnitude of the induced emf in the wire of aerial is:
10medium1 markmcq
An object, moving with a speed of , is decelerated at a rate given by:

where is the instantaneous speed. The time taken by the object, to come to rest, would be:
11medium1 markmcq
A fully charged capacitor with initial charge is connected to a coil of self inductance at . The time at which the energy is stored equally between the electric and the magnetic field is:
12medium1 markmcq
Let the plane be the boundary between two transparent media. Medium 1 in has a refractive index of and medium 2 with has a refractive index of . A ray of light in medium 1 given by the vector is incident on the plane of separation. The angle of refraction in medium 2 is:
13hard1 markmcq
A current flows in an infinitely long wire with cross section in the form of a semicircular ring of radius . The magnitude of the magnetic induction along its axis is:
14medium1 markmcq
A thermally insulated vessel contains an ideal gas of molecular mass and ratio of specific heats . It is moving with speed and is suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by:
15medium1 markmcq
A mass , attached to a horizontal spring, executes S.H.M. with amplitude . When the mass passes through its mean position then a smaller mass is placed over it and both of them move together with amplitude . The ratio of is:
16medium1 markmcq
Water is flowing continuously from a tap having an internal diameter . The water velocity as it leaves the tap is . The diameter of the water stream at a distance below the tap is close to:
17medium1 markmcq
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.
18medium1 markmcq
Three perfect gases at absolute temperatures and are mixed. The masses of molecules are and and the number of molecules are and respectively. Assuming no loss of energy, the final temperature of the mixture is:
19medium1 markmcq
A pulley of radius is rotated about its axis by a force Newton (where is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is , the number of rotations made by the pulley before its direction of motion is reversed, is:
20medium1 markmcq
A resistor and capacitor in series is connected through a switch to direct supply. Across the capacitor is a neon bulb that lights up at . Calculate the value of to make the bulb light up after the switch has been closed. ()
21medium1 markmcq
A Carnot engine operating between temperatures and has efficiency . When is lowered by , its efficiency increases to . Then and are, respectively:
22medium1 markmcq
If a wire is stretched to make it longer, its resistance will:
23medium1 markmcq
Statement-1 : When light reflects from the air-glass plate interface, the reflected wave suffers a phase change of .Statement-2 : The centre of the interference pattern in Newton's rings is dark.
24hard1 markmcq
A car is fitted with a convex side-view mirror of focal length . A second car behind the first car is overtaking the first car at relative speed of . The speed of the image of the second car as seen in the mirror of the first one is:
25medium1 markmcq
Energy required for the electron excitation in from the first to the third Bohr orbit is:
26hard1 markmcq
The electrostatic potential inside a charged spherical ball is given by where is the distance from the centre; are constants. Then the charge density inside ball is:
27medium1 markmcq
A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is , the total area around the fountain that gets wet is:
28medium1 markmcq
of water is heated from to . Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is ):
29medium1 markmcq
The half life of a radioactive substance is . The approximate time interval between the time when of it has decayed and time when of it had decayed is:
30medium1 markmcq
Statement-1 : A metallic surface is irradiated by a monochromatic light of frequency (the threshold frequency). The maximum kinetic energy and the stopping potential are and respectively. If the frequency incident on the surface is doubled, both the and are also doubled.Statement-2 : The maximum kinetic energy and the stopping potential of photoelectrons emitted from a surface are linearly dependent on the frequency of incident light.
31medium1 markmcq
The lines and intersect the line at and respectively. The bisector of the acute angle between and intersect at .Statement-1 : The ratio equals .Statement-2 : In any triangle, bisector of an angle divides the opposite side in the ratio of the sides containing the angle.
32medium1 markmcq
If , then for all real :
33hard1 markmcq
The coefficient of in the expansion of is:
34medium1 markmcq
The value of :
35medium1 markmcq
Statement-1 : The number of ways of distributing identical balls in distinct boxes such that no box is empty is .Statement-2 : The number of ways of choosing any places from different places is .
36hard1 markmcq
equals:
37medium1 markmcq
If and , then is equal to:
38medium1 markmcq
Let be the set of real numbers.Statement-1 : is an equivalence relation on .Statement-2 : is an equivalence relation on .
39medium1 markmcq
The value of is:
40hard1 markmcq
Let be real and be a complex number. If has two distinct roots on the line , then it is necessary that:
41hard1 markmcq
Consider independent Bernoulli's trials each with probability of success . If the probability of at least one failure is greater than or equal to , then lies in the interval:
42medium1 markmcq
A man saves Rs. in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. more than the saving of immediately previous month. His total saving from the start of service will be Rs. after:
43medium1 markmcq
The domain of the function is:
44hard1 markmcq
If the angle between the line and the plane is , then equals:
45hard1 markmcq
If and , then the value of is:
46medium1 markmcq
Equation of the ellipse whose axes are the axes of coordinates and which passes through the point and has eccentricity is:
47medium1 markmcq
Let be the purchase value of an equipment and be the value after it has been used for years. The value depreciates at a rate given by differential equation , where is a constant and is the total life in years of the equipment. Then the scrap value of the equipment is:
48hard1 markmcq
The vectors and are not perpendicular and and are two vectors satisfying: and . Then the vector is equal to:
49medium1 markmcq
The two circles and () touch each other if:
50medium1 markmcq
If and are two events such that and , then the correct statement among the following is:
51medium1 markmcq
The number of values of for which the linear equations , , and possess a non-zero solution is:
52medium1 markmcq
Consider the following statements: : Suman is brilliant : Suman is rich : Suman is honestThe negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as:
53medium1 markmcq
The shortest distance between the line and the curve is:
54medium1 markmcq
If the mean deviation about the median of the numbers is , then equals:
55medium1 markmcq
Statement-1 : The point is the mirror image of the point in the line .Statement-2 : The line bisects the line segment joining and .
56medium1 markmcq
Let and be two symmetric matrices of order .Statement-1 : and are symmetric matrices.Statement-2 : is a symmetric matrix if matrix multiplication of and is commutative.
57medium1 markmcq
If is a cube root of unity, and . Then equals:
58hard1 markmcq
The values of and for which the function

is continuous for all in , are:
59medium1 markmcq
The area of the region enclosed by the curves , , and the positive -axis is:
60medium1 markmcq
For , define . Then has:
61medium1 markmcq
Among the following the maximum covalent character is shown by the compound:
62medium1 markmcq
The presence or absence of hydroxyl group on which carbon atom of sugar differentiates RNA and DNA?
63medium1 markmcq
Trichloroacetaldehyde was subjected to Cannizzaro's reaction by using . The mixture of the products contains sodium trichloroacetate and another compound. The other compound is:
64medium1 markmcq
Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produced in the above reaction is:
65hard1 markmcq
The reduction potential of hydrogen half cell will be negative if:
66medium1 markmcq
The strongest acid amongst the following compounds is:
67medium1 markmcq
The degree of dissociation of a weak electrolyte, is related to van't Hoff factor by the expression:
68medium1 markmcq
a' and b' are van der Waals' constants for gases. Chlorine is more easily liquefied than ethane because:
69medium1 markmcq
A vessel at contains with a pressure of . Some of the is converted into on the addition of graphite. If the total pressure at equilibrium is , the value of is:
70medium1 markmcq
Boron cannot form which one of the following anions?
71medium1 markmcq
Which of the following facts about the complex is wrong?
72medium1 markmcq
Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene glycol which should be added to of water to prevent it from freezing at will be: ( for water , and molar mass of ethylene glycol )
73medium1 markmcq
Which one of the following orders represents the correct sequence of the increasing basic nature of the given oxides?
74medium1 markmcq
The rate of a chemical reaction doubles for every rise of temperature. If the temperature is raised by , the rate of the reaction increases by about:
75medium1 markmcq
The magnetic moment (spin only) of is:
76medium1 markmcq
The hybridization of orbitals of N atom in , and are respectively:
77medium1 markmcq
In context of the lanthanoids, which of the following statements is not correct?
78medium1 markmcq
A aqueous solution of methyl alcohol, , is supplied. What is the mole fraction of methyl alcohol in the solution?
79medium1 markmcq
Which of the following statement is wrong?
80medium1 markmcq
The outer electron configuration of Gd (Atomic No: ) is:
81medium1 markmcq
Which of the following statements regarding sulphur is incorrect?
82medium1 markmcq
The structure of is:
83medium1 markmcq
Ozonolysis of an organic compound gives formaldehyde as one of the products. This confirms the presence of:
84medium1 markmcq
A gas absorbs a photon of and emits at two wavelengths. If one of the emissions is at , the other is at:
85medium1 markmcq
Silver Mirror test is given by which one of the following compounds?
86medium1 markmcq
Which of the following reagents may be used to distinguish between phenol and benzoic acid?
87medium1 markmcq
Phenol is heated with a solution of mixture of and . The major product obtained in the above reaction is:
88hard1 markmcq
In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound is:
89hard1 markmcq
The entropy change involved in the isothermal reversible expansion of of an ideal gas from a volume of to a volume of at is:
90medium1 markmcq
Identify the compound that exhibits tautomerism.

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