JEE Main 2008 Previous Year Question Paper with Solutions

Which one of the following is the correct statement?

The bond dissociation energy of is whereas that of in is . The correct reason for higher bond dissociation energy as compared to that of is

Oxidising power of chlorine in aqueous solution can be determined by the parameters indicated below: (Using the data, ) will be

The ionization enthalpy of hydrogen atom is . The energy required to excite the electron in the atom from to is

In which of the following octahedral complexes of (at. no. 27), will the magnitude of be the highest?

The electrophile, attacks the benzene ring to generate the intermediate -complex. Of the following, which -complex is lowest energy?

The organic chloro compound, which shows complete stereochemical inversion during a reaction, is

In the following sequence of reactions, the alkene affords the compound ' ' The compound is

For the following three reactions and , equilibrium constants are given: a. b. c.

The treatment of with produces

Toluene is nitrated and the resulting product is reduced with tin and hydrochloric acid. The product so obtained is diazotised and then heated with cuprous bromide. The reaction mixture so formed cont

Which of the following pair of species have the same bond order?

Standard entropy of and are 60,40 and , respectively. For the reaction, , to be at equilibrium, the temperature will be

The coordination number and the oxidation state of the element ' ' in the complex (where (en) is ethylene diamine) are, respectively,

The absolute configuration of

-D-(+)-glucose and -D-(+)-glucose are

Four species are listed belowi. ii. iii. iv. Which one of the following is the correct sequence of their acid strength?

The equilibrium constants and for the reactions and , respectively are in the ratio of . If the degree of dissociation of and be equal then the ratio of total pressure at these equilibria is

Which one of the following constitutes a group of the isoelectronic species?

The of a weak acid, , is . The of a weak base, , is . The of an aqueous solution of the corresponding salt, BA, will be

For a reaction rate of disappearance of ' ' is related to the rate of appearance of ' ' by the expression

Phenol, when it first reacts with concentrated sulphuric acid and then with concentrated nitric acid, gives

Amount of oxalic acid present in a solution can be determined by its titration with solution in the presence of . The titration gives unsatisfactory result when carried out in the presence of , becaus

The correct decreasing order of priority for the functional groups of organic compounds in the IUPAC system of nomenclature is

Among the following substituted silanes the one which will give rise to cross linked silicone polymer on hydrolysis is

At , the vapour pressure of pure liquid ' ' is and that of pure liquid ' ' is . If a mixture solution of ' ' and ' ' boils at and pressure, the amount of ' ' in the mixture is ( )

In a compound atoms of element from ccp lattice and those of element occupy rd of tetrahedral voids. The formula of the compound will be

The vapour pressure of water at is . If of glucose is added to of water at , the vapour pressure of the resulting solution will be

Given , The potential for the cell is

The hydrocarbon which can react with sodium in liquid ammonia is

Larger number of oxidation states are exhibited by the actinoids than those by the lanthanoids, the main reason being

How many real solutions does the equation have?

Let be a function defined as where for some .Show that is invertible and its inverse is

The value of is

In a shop there are five types of ice-cream available. A child buys six ice-cream.Statement - 1: The number of different ways the child can buy the six ice-cream is .Statement - 2: The number of diffe

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?

Let be a square matrix all of whose entries are integers. Then which one of the following is true?

Let be the real line. Consider the following subsets of the plane : and is an integer ,Which one of the following is true?

The area of the plane region bounded by the curves and is equal to

The solution of the differential equation satisfying the condition is

The line passing through the points and crosses the -plane at the point . Then

Let be matrix with real entries. Let be the identity matrix. Denote by tr , the sum of diagonal entries of . Assume that .Statement-1 : If and , then Statement- 2 : If and , then .

Let be any real numbers. Suppose that there are real numbers not all zero such that , and . Then is equal to

Suppose the cubic has three distinct real roots where and . Then which one of the following holds?

STATEMENT - For every natural number , STATEMENT - 2 : For every natural number ,

It is given that the events and are such that and . Then is

The mean of the numbers is 6 and the variance is . Then which one of the following gives possible values of and ?

A die is thrown. Let be the event that the number obtained is greater than 3 . Let be the event that the number obtained is less than 5 . Then is

The conjugate of a complex number is then that complex number is

The value of is

If the straight lines and intersects at a point, then the integer is equal to

Let Then which one of the following is true?

In the circuit below, and represent two inputs and represents the output.

An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment distances are measured by

In an experiment, electrons are made to pass through a narrow slit of width ' ddd ' comparable to their de Broglie wavelength. They are detected on a screen at a distance ′D′{ }^{'} D^{'}′D′ from the

While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of during winter. Repeating the same experiment during s

Two full turns of the circular scale of a screw gauge cover a distance of on its main scale. The total number of divisions on the circular scale is 50 . Further, it is found that the screw gauge has a

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume and contains ideal gas at pressure and temperature . The other chamber has volume an

Consider a uniform square plate of side and mass . The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

A working transistor with its three legs marked and is tested using a multi-meter. No conduction is found between and . By connecting the common (negative) terminal of the multi-meter to and the other

A body of mass is moving along the -axis with a speed of . The magnitude of its momentum is recorded as

Consider a block of conducting material of resistivity shown in the figure. Current enters at and leaves from . We apply superposition principle to find voltage ' developed between and . The calculati

A student measures the focal length of a convex lens by putting an object pin at a distance ′u′' u'′u′ from the lens and measuring the distance ′v′' v'′v′ of the image pin. The graph between ' u′u'u′

The vector lies in the plane of the vectors and and bisects the angle between and . Then which one of the following gives possible values of and ?

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 mass kept at the cent

A wave travelling along the -axis is described by the equation . If the wavelength and the time period of the wave are and , respectively, then and in appropriate units are

A horizontal overhead powerline is at height of from the ground and carries a current of from east to west. The magnetic field directly below it on the ground is

Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a cryst

A body is at rest at . At , it starts moving in the positive -direction with a constant acceleration. At the same instant another body passes through moving in the positive direction with a constant s

A battery with internal resistance and a battery with internal resistance are connected to a resistor as shown in the figure.The current in the resistor is

A thin spherical shell of radius has charge spread uniformly over its surface. Which of the following graphs most closely represents the electric field produced by the shell in the range , where is th

Shown in the figure below is a meter-bridge set up with null deflection in the galvanometer.The value of the unknown resister R is

The non-zero vectors are and are related by and . Then the angle between and is

A jar is filled with two non-mixing liquids 1 and 2 having densities and respectively. A solid ball, made of a material of density , is dropped in the jar. It comes to equilibrium in the position show

The speed of sound in oxygen at a certain temperature is . The speed of sound in helium at the same temperature will be (assume both gases to be ideal)

Suppose an electron is attracted towards the origin by a force where is a constant and ' ' is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the orb

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area and length . If one of the solenoid has 300 turns and the other 400 turns, their mutual inductance is

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:Energy is released when heavy n

Relative permittivity and permeability of a material and , respectively. Which of the following values of these quantities are allowed for a diamagnetic material?

A block of mass is moving with a speed of on a smooth surface. It strike another mass of and then they move together as a simple body. The energy loss during the collision is

A planet in a density solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is , the escape velocity from the surface o

A thin rod of length ' is lying along the -axis with its ends at and . Its linear density (mass/length) varies with as , where can be zero or any positive number. If the position of the center of mass

A parallel plate capacitor with air between the plates has capacitance of . The separation between its plates is . The space between the plates has dielectric constant and thickness while the other on

A capillary tube (A) is dipped in water. Another identical tube (B) is dipped in a soap-water solution. Which of the following shows the relative nature of the liquid columns in the two tubes?

The dimension of magnetic field in and (coulomb) is given as

A spherical solid ball of volume is made of a material of density . It is falling through a liquid of density . Assume that the liquid applies a viscous force on the ball that is proportional to the s

An athlete in the Olympic games covers a distance of in . His kinetic energy can be estimated to be in the range

Consider a block of conducting material of resistivity shown in the figure. Current enters at and leaves from . We apply superposition principle to find voltage developed between and . The calculation

Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a cryst