Previous Year Questions
106 questions — organised by subject with solutions and explanations.
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The actinoids exhibits more number of oxidation states in general than the lanthanoids. This is because
The density (in g ) of a sulphuric acid solution that is (molar mass = ) by mass will be
The IUPAC name of is
The equivalent conductance's of two strong electrolytes at infinite dilution in (where ions move freely through a solution) at are given below: equiv equivWhat additional information/quantity one need
Equal masses of methane and oxygen are mixed in an empty container at . The fraction of the total pressure exerted by oxygen is
In a saturated solution of the sparingly soluble strong electrolyte (Molecular mass = 283) the equilibrium which sets in is . If the solubility product constant of at a given temperature is , what is
The of a weak acid is . The of an aqueous buffered solution of in which of the acid is ionized is
The charge/size ratio of a cation determines its polarizing power. Which one of the following sequences represents the increasing order of the polarizinig order of the polarizing power of the cationic
Which one of the following conformation of cyclohexane is chiral?
Which one of the following is the strongest base in aqueous solution?
The energies of activation for forward and reverse reactions for are and respectively. The presence of catalyst lowers the activation energy of both (forward and reverse) reactions by . The enthalpy c
In which of the following ionization processes, the bond order has increased and the magnetic behaviour has changed?
The first and second dissociation constants of an acid are and respectively. The overall dissociation constant of the acid will be
Presence of a nitro group in a benzene ring
Which of the following sets of quantum numbers represents the highest energy of an atom?
The secondary structure of a protein refers to
In conversion of lime-stone to lime, the vales of and are mol and respectively at and 1 bar. Assuming that do not change with temperature, temperature above which conversion of limestone to lime will
The cell, was allowed to be completely discharged at . The relative concentration of to is
A solution of a substance is isotonic with a solution of urea (molar mass ) in the same solvent. If the densities of both the solutions are assumed to be equal to , molar mass of the substance will be
In the reaction
Identify the incorrect statement among the following
Which of the following nuclear reactions will generate an isotope?
Which of the following is the correct order of decreasing reactivity?
Which of the following hydrogen bonds is the strongest?
Assuming that water vapour is an ideal gas, the internal energy change when 1 mol of water is vapourised at 1 bar pressure and , (given : molar enthalpy of vapourisation of water at 1 bar and and )
Consider the reaction, products. When concentration of alone was doubled, the half-life did not change. When the concentration of A alone was doubled, the rate increased by two times. The unit of rate
A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of at . The vapour pressure of propyl alcohol is . If the mole fraction of ethyl alcohol is , its vapour pressure (in ) at the same
Which of the following molecules is expected to rotate the plane of plane - polarized light?
In the chemical reaction, , the compound (A) and (B) are respectively
A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, after how many days will it be safe to enter t
The stability of dihalides of and increases steadily in the sequence
Which one of the following has a square planar geometry?
In the following sequence of reactions, the compound 'D' is
Regular use of which of the following fertilizer increases the acidity of soil?
Identify the correct statement regarding a spontaneous process
Identify the incorrect statement among the following
Which of the following reactions will yield 2, 2-dibromopropane?
The reaction of toluene with in presence of gives predominantly
The compound formed as a result of oxidation of ethyl benzene by is
Which of the following species exhibits the diamagnetic behaviour?
Let . If , then equals
If , then the maximum value of is
If the difference between the roots of the equation is less than , then the set of possible values of is
Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are and , respectively. The second plane will bomb only if the first misses the target. The p
If a line makes an angle of with the positive directions of each of -axis and -axis, then the angle that the line makes with the positive direction of the -axis is
If and are positive real numbers such that , then the maximum value of is
The set is to be partitioned into three sets of equal size. Thus . The number of ways to partition is
The solution for of the equation is
If , then the value of is
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
The largest interval lying in for which the function is defined, is
If for , then is
The area enclosed between the curves and is
Let be a function defined by , then which of the following is true?
Let , where , Then equals
A value of for which conclusion of Mean Value Theorem holds for the function on the interval is
The function is an increasing function in
The function given by can be made continuous at by defining as
Let be the line of intersection of the planes and . If makes an angle with the positive -axis, then equals
Let and . Then which one of the following is true?
If is one end of a diameter of the sphere , then the coordinates of the other end of the diameter are
The differential equation of all circles passing through the origin and having their centres on the -axis is
The average marks of boys in a class is 52 and that of girls is 42 . The average marks of boys and girls combined is 50 . The percentage of boys in the class is
equals
Two identical conducting wires and are placed at right angles to each other. The wire carries an electric current and carries a current . The magnetic field on a point lying at a distance from , in a
A particle is projected at to the horizontal with a kinetic energy . The kinetic energy at the highest point is
An electric charge is placed at the origin of co-ordinate system. Two points and are situated at and respectively. The potential difference between the points and will be
A current flows along the length of an infinitely long, straight, thin walled pipe. Then
Let and . If the vectors lies in the plane of and , then equals
For the given uniform square lamina , whose center is ,
An ideal coil of is connected in series with a resistance of and a battery of second after the connection is made, the current flowing in ampere in the circuit is
A parallel plate condenser with a dielectric of dielectric constant between the plates has a capacity and is charged to a potential volt. The dielectric slab is slowly removed from between the plates
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 c
A circular disc of radius is removed from a bigger circular disc of radius such that the circumferences of the discs coincide. The center of mass of the new disc is form the center of the bigger disc.
A long straight wire of radius carries a steady current . The current is uniformly distributed across its cross section. The ratio of the magnetic field at and is
A round uniform body of radius , mass and moment of inertia rolls down (without slipping) an inclined plane making an angle with the horizontal. Then its acceleration is
Two springs, of force constant and are connected to a mass as shown. The frequency of oscillation of the mass is . If both and are made four times their original values, the frequency of oscillation b
One end of a thermally insulated rod is kept at a temperature and the other at . The rod is composed of two sections of length and and thermal conductivities and respectively. The temperature at the i
Photon of frequency has a momentum associated with it. If is the velocity of light, the momentum is
The velocity of a particle is . If its position is at , then its displacement after unit time is
A charged particle with charge enters a region of constant, uniform and mutually orthogonal fields and with a velocity perpendicular to both and , and comes out without any change in magnitude or dire
The half-life period of a ratio-active element is same as the mean life time of another ratio-active element . Initially they have the same number of atoms. Then
A sound absorber attenuates the sound level by . The intensity decreases by a factor of
The displacement of an object attached to a spring and executing simple harmonic motion is given by metre. The time at which the maximum speed first occurs is
If in a - junction diode, a square input signal of is applied as shownThen the output signal across will be
Angular momentum of the particle rotating with a central force is constant due to
A point mass oscillates along the -axis according to the law . If the acceleration of the particle is written as , then
A particle of mass executes simple harmonic motion with amplitude a and frequency . The average kinetic energy during its motion from the position of equilibrium to the end is
A charged particle moves through a magnetic field perpendicular to its direction. Then
A Carnot engine, having an efficiency of as heat engine, is used as a refrigerator . If the work done on the system is , the amount of energy absorbed from the reservoir at lower temperature is
If and denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then
In gamma ray emission from a nucleus
When a system is taken from state to state along the path , it is found that and . Along the path . along the path is
The resistance of a wire is at and at . The resistance of the wire at will be
Which of the following transitions in hydrogen atoms emit photons of highest frequency?
If and are the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio
In a Young's double slit experiment the intensity at a point where the path difference is ( being the wavelength of light used) is . If denotes the maximum intensity, is equal to
Two lenses of power and are in contact with each other. The focal length of the combination is
Charges are placed on the vertices of a square as shown. Let be the electric field and the potential at the center. If the charges on and are interchanged with those on and respectively, then
The potential at a point (measured in ) due to some charges situated on the -axis is given by volt The electric field at is given by
A block of mass is connected to another block of mass by a spring (massless) of spring constant . The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is un
If and are unit vectors and is the acute angle between them, then is a unit vector for
Carbon, silicon and germanium have four valence electrons each. At room temperature which one of the following statements is most appropriate?
A block slides on a horizontal floor with a speed of . It strikes a uncompressed spring, and compress it till the block is motionless. The kinetic friction force is and spring constant is . The spring
In an . circuit the voltage applied is . The resulting current in the circuit is . The power consumption in the circuit is given by
If is the mass of an oxygen isotope and are the masses of a proton and neutron respectively, the nuclear binding energy of the isotope is