JEE Main 2011 Previous Year Question Paper with Solutions

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:

Among the following the maximum covalent character is shown by the compound:

The strongest acid amongst the following compounds is :

Outer electronic configuration of Gd (Atomic no : 64) is -

Boron cannot form which one of the following anions?

The magnetic moment (spin only) of is

Identify the compound that exhibits tautomerism.

Which one of the following order represents the correct sequence of the increasing basic nature of the given oxides?

Ozonolysis of an organic compound gives formaldehyde as one of the products. This confirms the presence of :

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

Trichloroacetaldehyde was subjected to Cannizzaro's reaction by using . The mixture of the products contains sodium trichloroacetate and another compound. The other compound is:

The presence or absence of hydroxyl group on which carbon atom of sugar differentiates RNA and DNA ?

Which of the following statement is wrong?

A molal aqueous solution of methyl alcohol, , is supplied. What is the mole fraction of methyl alcohol in the solution?

The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a volume of to a volume of at is :

Which of the following statements regarding sulphur is incorrect ?

The reduction potential of hydrogen half cell will be negative if :

'a' and ' ' are van der Waals' constants for gases. Chlorine is more easily liquefied than ethane because

In context of the lanthanoids, which of the following statements is not correct?

The degree of dissociation of a weak electrolyte, is related to van't Hoff factor (i) by the expression :

Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produced in the above reaction is

A gas absorbs a photon of and emits at two wavelengths. If one of the emissions is at , the other is at:

Which of the following facts about the complex is wrong?

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

The structure of is:

The outer electron configuration of (Atomic No. 64) is :

Phenol is heated with a solution of mixture of KBr and KBrO3. The major product obtained in the above reaction is

Silver Mirror test is given by which one of the following compounds?

The hybridization of orbitals of atom in and are respectively :

In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of is missing from one of the face centred points, the formula of the c

For , define . Then has

The area of the region enclosed by the curves and the positive -axis is

The number of values of for which the linear equations and possess a non-zero solution is

The shortest distance between line and curve is

The value of and for which the function is continuous for all in , are

Statement : The point is the mirror image of the point in the line : Statement - 2: The line bisects the line segment joining and

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

If the mean deviation about the median of the numbers a, , is 50 , then equals

The value of is

Let be real and be a complex number. If has two distinct roots on the line , then it is necessary that :

If and are two events such that and , then the correct statement among the following is

The domain of the function is

Statement - 1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is .Statement - 2: The number of ways of choosing any 3 places from 9 different place

Consider 5 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

Let and be two symmetric matrices of order 3 .Statement - 1: and are symmetric matrices.Statement - 2: is symmetric matrix if matrix multiplication of with is commutative.

equals:

If and , then is equal to:

If is a cube root of unity, and . Then equals

These are 10 points in a plane, out of these 6 are collinear, if is the number of triangles formed by joining these points. then:

If the angle between the line and the plane is , then equals

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 p

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 m

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 sw

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 : A metallic surface is irradiat

Energy required for the electron excitation in from the first to the third Bohr orbit is:

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:

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 :

A screw gauge gives the following reading when used to measure the diameter of a wire.Main scale reading: Circular scale reading : 52 divisionsGiven that on main scale corresponds to 100 divisions of

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 r

A mass , attached to a horizontal spring, executes . 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

A thin horizontal circular disc is rotating about a vertical axis passing through its center. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the dis

A current flows in an infinitely long wire with cross section in the form of a semi-circular ring of radius . The magnitude of the magnetic induction along its axis is:

The transverse displacement of a wave on a string is given by . This represents :

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 fields is :

This question has a paragraph followed by two statements, Statement - 1 and Statement - 2. Of the given four alternatives after the statements, choose the one that describes the statements. A thin air

If a wire is stretched to make it longer, its resistance will:

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 a relative speed of . The speed of the image of the second car as seen

A thermally insulated vessel contains an ideal gas of molecular mass and ratio of specific heats . It is moving with speed and it's suddenly brought to rest. Assuming no heat is lost to the surroundin

Work done in increasing the size of a soap bubble from a radius of to is nearly (Surface tension of soap solution ,

A Carnot engine operating between temperatures and has efficiency . When is lowered by its efficiency increases to . Then and are, respectively:

A boat is moving due east in a region where the earth's magnetic fields is due north and horizontal. The best carries a vertical aerial long. If the speed of the boat is , the magnitude of the induced

The vectors and are not perpendicular and and are two vectors satisfying and . Then the vector is equal to

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 th

Let xxx - zzz 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

If and , then the value of is

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:

The electrostatic potential inside a charged spherical ball is given by where is the distance from the center and are constants. Then the charge density inside the ball is:

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:

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 ):

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

The half life of a radioactive substance is 20 minutes. The approximate time interval between the time when of it had decayed and time when of it had decayed is: