JEE Main 2002 Previous Year Question Paper with Solutions

Freezing point of an aqueous solution is . Elevation of boiling point of the same solution is , find the increase in boiling point.

How do we differentiate between and in group III?

For the reaction , rate is given by then the order of the reaction is

In which of the following species is the underlined carbon having hybridisation?

The reaction:

is an organometallic compound due to

Conductivity (unit Siemen's S) is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportional to the length of the vessel then the unit of the

Most common oxidation states of (cerium) are

RNA is different from DNA because RNA contains

Which of these will not react with acetylene?

The integrated rate equation is . The straight line graph is obtained by plotting

Which of the following compounds has wrong IUP AC name?

EMF of a cell in terms of reduction potential of its left and right electrodes is

When acts as an oxidising agent and ultimately forms then the number of electrons transferred in each case respectively is

What is the product when acetylene reacts with hypochlorous acid?

Arrangement of - when attached to benzyl or an unsaturated group in increasing order of inductive effect is

When is passed through we get

Value of gas constant is

The type isomerism present in nitropentammine chromium (III) chloride is

and crystallize in and type crystals respectively, then the number of atoms of and present in the unit cell of their respective crystal is

Hybridisation of underline atom changes in

For an ideal gas, number of moles per litre in terms of its pressure , gas constant and temperature is

In which of the following species the interatomic bond angle is ?

In the number of lone pairs of are respectively

Which of the following does not show geometrical isomerism?

- particle is emitted in radioactivity by

Which of the following statements is true?

A similarity between optical and geometrical isomerism is that

Racemic mixture is formed by mixing two

In mixture and component show -ve deviation as

Which of the following ions has the maximum magnetic moment?

and have ionic radial in the increasing order as

What is B ?

Following types of compounds (as )are studied in terms of isomerism in :

Which of the following reaction is possible at anode?

The correct order of ionic radius is

If half-life of a substance is , then the total amount of substance left after 15 years, when initial amount is 64 grams is

The heat required to raise the temperature of body by is called

Let the solubility of an aqueous solution of be then its is

If an endothermic reaction is non-spontaneous at freezing point of water and becomes feasible at its boiling point, then

Which of the following is a redox reaction?

Number of sigma bonds in is

Units of rate constant of first and zero order reactions in terms of molarity M unit are respectively

With increase of temperature, which of these changes?

In a hydrogen atom, if energy of an electron in ground state is , then that in the excited state is

When the sample of copper with zinc impurity is to be purified by electrolysis, the appropriate electrodes are

For the reaction is

Kinetic theory of gases proves

Which of the following are arranged in an increasing order of their bond strengths?

The differential rate law for the reaction is

Change in volume of the system does not alter which of the following equilibria?

In a compound and atoms are present in by weight. Molecular weight of the compound is . Molecular formula of compound is

Oxidation number of in (bleaching powder) is

Uncertainty in position of a minute particle of mass in space is . What is the uncertainty in its velocity (in

and are present in an aqueous solution. The solution is

A heat engine absorbs heat at temperature and heat at temperature . Work done by the engine is . This data

In case of nitrogen, is possible but not while in case of phosphorous, as well as are possible. It is due to

The most stable ion is

Species acting as both Bronsted acid and base is

For the following cell with hydrogen electrodes at two different pressure and . What will be the emf for the given cell

A square planar complex is formed by hybridisation of which atomic orbitals?

Number of atoms in gram Fe (at. wt. of ) is

The functional group, which is found in amino acid is

When primary amine reacts with chloroform in ethanoic then the product is

On vigorous oxidation by permanganate solution. gives

For the reactions

Picric acid is :

Total number of four digit odd numbers that can be formed using (using repetition allowed) are

If , its solution is given by

A dice is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is

, then

Five digit number divisible by 3 is formed using and 5 without repetition. Total number of such numbers are

is defined in as if is rational if is irrational. Then

, ( [x] denotes the greatest integer less than or equal to )

Product of real roots of equation

If , then is

If , then is

The period of is

If and , then is

The locus of the centre of a circle which touches the circle and externally ( are complex numbers) will be

and are two nonzero complex numbers such that and then equals

The solution of the equation

is

Difference between the corresponding roots of and is same and , then

If then the quadratic equation has

and are two differentiable functions on such that then at is

The domain of is

is

A plane which passes through the point and the line is

Let and .Then is given by

If but and then the equation having and as its roots is

is

If and are the roots of the equation , then

If and discriminant of is , then is equal to

The maximum distance from origin of a point on the curve is

In a class of 100 students there are 70 boys whose average marks in a subject are 75 . If the average marks of the complete class is 72 , then what is the average marks of the girls?

Number greater than 1000 but less than 4000 is formed using the digits (repetition allowed). Their number is

Which one is not periodic

If makes intercept of 2 and 0 unit on and axes and encloses an area of square unit with the axes then is

If are distinct real numbers and then is

A problem in mathematics is given to three students and their respective probability of solving the problem is and . Probability that the problem is solved is

The sum of integers from 1 to 100 that are divisible by 2 or 5 is

The area bounded by the curves and is

The order and degree of the differential equation are

The . of normal to the plane through which makes an angle with plane are

and are events such that , then is

is

then equals

is

The minimum velocity (in ) with which a car driver must traverse a flat curve of radius and coefficient of friction to avoid skidding is

If a spring has time period , and is cut into equal parts, then the time period of each part will be

which of the following is used in optical fibres?

A charged particle is placed at the centre of cube of length . Another same charge is placed at a distance from . Then the electric flux through is

A conducting square loop of side and resistance moves in its plane with a uniform velocity perpendicular to one of its sides. A magnetic induction constant in time and space, pointing perpendicular an

A child swinging on a swing in sitting position, stands up, then the time period of the swing will

The mass of product liberated on anode in an electrochemical cell depends on (where is the time period for which the current is passed).

The energy band gap is maximum in

A particle of mass moves along line PC with velocity as shown. What is the angular momentum of the particle about ?

A wave on a string meets with another wave producing a node at . Then the equation of the unknown wave is

Tube has bolt ends open while tube has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube and is

If a charge is placed at the center of the line joining two equal charges such that the system is in equilibrium then the value of is

Even Carnot engine cannot give efficiency because we cannot

Which of the following is more close to a black body?

By increasing the temperature, the specific resistance of a conductor and a semiconductor

Energy required to move a body of mass from an orbit of radius to is

Initial angular velocity of a circular disc of mass is . Then two small spheres of mass are attached gently to diametrically opposite points on the edge of the disc. What is the final angular velocity

A light string passing over a smooth light pulley connects two blocks of masses and (vertically). If the acceleration of the system is , then the ratio of the masses is

Heat given to a body which raises its temperature by 1° C is

At absolute zero, Si acts as

Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will

Wires 1 and 2 carrying currents and respectively are inclined at an angle to each other. What is the force on a small element of wire 2 at a distance of from wire 1 (as shown in figure) due to the mag

If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then the satellite will

Wavelength of light used in an optical instrument are and , then ratio of their respective resolving powers (corresponding to and ) is

If are vectors show that and then angle between vector and is

Two spheres of the same material have radii and and temperatures and respectively. The ratio of the energy radiated per second by the first sphere to that by the second is

Capacitance (in ) of a spherical conductor with radius is

Electromagnetic waves are transverse in nature is evident by

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

length of a string tied to two rigid supports is . Maximum length (wavelength in ) of a stationary wave produced on it is

The inductance between and is

If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should

The kinetic energy needed to project a body of mass from the earth surface (radius ) to infinity is

If in a circular coil of radius , current is flowing and in another coil of radius a current is flowing, then the ratio of the magnetic fields and , produced by them will be

If in the circuit, power dissipation is , then is

Which statement is incorrect?

An astronomical telescope has a large aperture to

One end of a mass-less rope, which passes over a mass-less and friction-less pulley is tied to a hook while the other end is free. Maximum tension that the rope can bear is . With what value of maximu

If and the angle between and is then is equal to

At a specific instant emission of radioactive compound is deflected in a magnetic field. The compound can emit (i) electrons (ii) protons (iii) (iv) neutrons The emission at instant can be

In a simple harmonic oscillator, at the mean position

Two identical particles move towards each other with velocity and respectively. The velocity of center of mass is

The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

Two forces are such that the sum of their magnitudes is and their resultant is which is perpendicular to the smaller force. Then the magnitudes of the forces are

A tuning fork arrangement (pair) produces 4 beats/sec with one fork of frequency . A little wax is placed on the unknown fork and it then produces 2 beats/sec. The frequency of the unknown fork is

and are two vectors and is a vector such that then

Three identical blocks of masses are drawn by a force with an acceleration of on a frictionless surface, then what is the tension (in ) in the string between the blocks and ?

The escape velocity of a body depends upon mass as

1 mole of a gas with is mixed with 1 mole of a gas with , then the value of for the resulting mixture is

In a transformer, number of turns in the primary coil are 140 and that in the secondary coil are 280 . current in primary coil is , then that in the secondary coil is

A lift is moving down with acceleration . A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground ar

A cylinder of height is completely filled with water. The velocity of efflux of water (in ) through a small hole on the side wall of the cylinder near its bottom is

On moving a charge of 20 coulomb by of work is done, then the potential differences between the points is

Sodium and copper have work functions and respectively. Then the ratio of the wavelengths is nearest to

If then

If two mirrors are kept at to each other, then the number of images formed by them is

If , is the inversion temperature, is the neutral temperature, is the temperature of the cold junction, then

A ball whose kinetic energy E, is projected at an angle of to the horizontal. The kinetic energy of the ball at the highest point of its height will be

When forces are acting on a particle of mass such that and are mutually perpendicular, then the particle remains stationary. If the force is now removed then the acceleration of the particle is

If are vectors such that then

The power factor of circuit having resistance and inductance connected in series and an angular velocity is

A wire when connected to mains supply has power dissipation . Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is . Then is

If an electron and a proton having same momentum enter perpendicular to a magnetic field, then

Infrared radiation is detected by

Moment of inertia of a circular wire of mass and radius about its diameter is

The part of a transistor which is most heavily doped to produce large number of majority carriers is

When temperature increases, the frequency of a tuning fork

If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a

If a current is passed through a spring then the spring will

If a body looses half of its velocity on penetrating in a wooden block, then how much will it penetrate more before coming to rest?

From a building two balls and are thrown such that is thrown upwards and downwards ( both vertically with the same speed ). If and are their respective velocities on reaching the ground, then

If energy is required to ionize the hydrogen atom, then the energy required to remove a electron from is

If the vectors and are such that and form a right handed system then is:

Formation of covalent bonds in compounds exhibits

At what temperature is the velocity of a hydrogen molecule equal to that of an oxygen molecule at ?

Which of the following are not electromagnetic waves?

Identify the pair whose dimensions are equal

Speeds of two identical cars are and at the specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is

A spring of force constant has an extension of . The work done in extending it from 5 to is

If is the original mass of the substance of half-life period years, then the amount of substance left after 15 years is

If thus what will be the value of , given that

If there are capacitors in parallel connected to volt source, then the energy stored is equal to