Previous Year Questions
196 questions — organised by subject with solutions and explanations.
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On mixing ethyl acetate with aqueous sodium chloride, the composition of the resultant solution is
Excess of reacts with solution and then solution is added to it. Which of the statements is incorrect for this reaction?
The coordination number of central metal atom in a complex is determined by
Which one of the following reduced with zinc and hydrochloric acid to give the corresponding hydrocarbon?
Which of the following sets of quantum numbers is correct for an electron in orbital?
For which of the following parameters the structural isomers and would be expected to have the same values? (Assume ideal behaviour)
Coordination compound have great importance in biological systems. In this context which of the following statements is incorrect?
Among and the correct order of acid strength is
The conjugate base of is
Cerium is an important member of the lanthanoids. Which of the following statements about cerium is incorrect?
Consider the following values Under standard conditions the potential for the reaction is
The bond order in NO is while that in is 3 . Which of the following statements is true for these two species?
Which of the following compound is not chiral?
Acetyl bromide reacts with excess of followed by treatment with a saturated solution of given
Which one the following statement regarding helium is incorrect?
The standard e.m.f of a cell, involving one electron change is found to be at . The equilibrium constant of the reaction is
Consider the ground state of atom . The number of electrons with the azimuthal quantum numbers, and 2 are respectively
The IUPAC name of the compound is
Which of the following will have meso-isomer also?
Which one of the following sets of ions represents the collection of isoelectronic species?(Atomic nos. : )
Which one of the following statements is false?
Which one the following does not have hybridized carbon?
Consider the acidity of the carboxylic acids:(a) (b) (c) (d) Which of the following order is correct?
As the temperature is raised from to , the average kinetic energy of neon atoms changes by a factor of which of the following?
The correct order of magnetic moments (spin only values in B.M.) among is (Atomic numbers: )
molecules of urea are present in of its solution. The concentration of urea solution is(Avogadro constant, )
In a cell that utilises the reaction addition of to cathode compartment, will
Aluminium chloride exists as dimer, in solid state as well as in solution of non-polar solvents such as benzene. When dissolved in water, it gives
The soldiers of Napoleon army while at Alps during freezing winter suffered a serious problem as regards to the tin buttons of their uniforms. White metallic tin buttons got converted to grey power. T
The enthalpies of combustion of carbon and carbon monoxide are and mol-1 respectively. The enthalpy of formation of carbon monoxide per mole is
Which of the following is the strongest base ?
In a first order reaction, the concentration of the reactant decreases from to in 15 minutes. The time taken for the concentration to change from to is
An ideal gas expands in volume from to at against a constant pressure of . The work done is
Which of the following liquid pairs shows a positive deviation from Raoult's law?
The states of hybridization of boron and oxygen atoms in boric acid are respectively
For the reaction, the is equal to
Which one of the following has the minimum boiling point?
What is the equilibrium expression for the reaction
The rate equation for the reaction is found to be: rate . The correct statement in relation to this reaction is that the
To neutralize completely of aqueous solution of phosphorous acid , the volume of aqueous solution required is
Which one of the following aqueous solutions will exhibit highest boiling point?
Amongst the following compounds, the optically active alkane having lowest molecular mass is
The half - life of a radioisotope is four hours. If the initial mass of the isotope was , the mass remaining after 24 hours undecayed is
The values for , Fe and Co are and respectively.For which one of these metals the change in oxidation state form to is easiest?
Which one of the following has the regular tetrahedral structure?(Atomic nos : )
The formation of the oxide ion requires first an exothermic and then an endothermic step as shown below This because
The ammonia evolved from the treatment of of an organic compound for the estimation of nitrogen was passed in of sulphuric acid. The excess of acid required of sodium hydroxide solution for complete n
The molar solubility (in ol ) of a sparingly soluble salt is "s". The corresponding solubility product is . 's' is given in term of by the relation:
Which of the following undergoes reaction with sodium hydroxide solution to give the corresponding alcohol and acid?
The maximum number of angles between bond pair of electrons is observed in
Rate of the reactionis fastest when is
Among the following compounds which can be dehydrated very easily is
Which among the following factors is the most important in making fluorine the strongest oxidizing halogen?
What type of crystal defect is indicated in the diagram below?
In Van der Waals equation of state of the gas law, the constant ' ' is a measure of
Which one the following has largest number of isomers ? alkyl group, en = ethylenediamine)
Among the properties (a) reducing (b) oxidising (c) complexing, the set of properties shown by ion towards metal species is :
Insulin production and its action in human body are responsible for the level of diabetes. This compound belongs to which of the following categories?
Consider the following nuclear reactions The number of neutrons in the element is
Identify the correct statements regarding enzymes
The wavelength of the radiation emitted when in a hydrogen atom electron falls from infinity to stationary state 1, would be (Rydberg constant )
Of the following outer electronic configurations of atoms, the highest oxidation state is achieved by which one of them?
Which one of the following complexes in an outer orbital complex?
Beryllium and aluminium exhibit many properties which are similar. But the two elements differ in
The correct order of bond angles (smallest first) in and is
The limiting molar conductivities for and are 126,152 and respectively. The for is
Which base is present in RNA but not in DNA?
In a hydrogen - oxygen fuel cell, combustion of hydrogen occurs to
The compound formed on heating chlorobenzene with chloral in the presence concentrated sulphuric acid is
Which one of the following ions has the highest value of ionic radius?
The equilibrium constant for the reaction at temperature is . The value of for the reaction at the same temperature is
is
Let two numbers have arithmetic mean 9 and geometric mean 4 . Then these numbers are the roots of the quadratic equation
If one root of the equation is 4 , while the equation has equal roots,then the value of ' is
If , then value of is
Consider the following statements:(a) Mode can be computed from histogram(b) Median is not independent of change of scale(c) Variance is independent of change of origin and scale.Which of these is/are
If , then the value of and , are
The value of is
Let and be complex numbers such that and . Then arg equals
A line makes the same angle , with each of the and axis.If the angle , which it makes with -axis, is such that , then equals
How many ways are there to arrange the letters in the word GARDEN with vowels in alphabetical order
The graph of the function is symmetrical about the line , then
The intersection of the spheres is the same as the intersection of one of the sphere and the plane
If is a root of quadratic equation then its root are
If , then at least one root of the equation lies in the interval
The domain of the function
The normal to the curve always passes through the fixed point
Let . The only correct statement about the matrix is
The range of the function is
A point on the parabola at which the ordinate increases at twice the rate of the abscissa is
If , then is
Let . and . if is the inverse of matrix , then is
The area of the region bounded by the curves and the -axis is
The differential equation for the family of circle , where a is an arbitrary constant is
is equal to
A function has a second order derivative . If its graph passes through the point and at that point the tangent to the graph is , then the function is
If are in G.P., then the value of the determinant is
If the straight lines and , with parameters and respectively, are co-planar, then equals.
The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is
Let .If is continuous in , then is
Solution of the differential equation is
Distance between two parallel planes and is
If , then is
If and , then
In a series of observations, half of them equal and remaining half equal . If the standard deviation of the observations is 2 , then equals
The value of is
A line with direction cosines proportional to meets each of the lines and . The co-ordinates of each of the points of intersection are given by
The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is
If and , then the value of is
If , defined by , is onto, then the interval of is
The probability that speaks truth is , while the probability for is . The probability that they contradict each other when asked to speak on a fact is
If , then lies on
A current ampere flows along an infinitely long straight thin walled tube, then the magnetic induction at any point inside the tube is
The manifestation of band structure in solids is due to
A force is applied over a particle which displaces it from its origin to the point . The work done on the particle in joules is
Two masses and tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when left free to move?
A coil having turns and resistance is connected with a galvanometer of resistance . This combination is moved in time seconds from a magnetic field weber to weber. The induced current in the circuit i
Let and be three non-zero vectors such that no two of these are collinear. If the vector is collinear with and is collinear with being some non-zero scalar) then equals
A uniform chain of length is kept on a table such that a length of hangs freely from the edge of the table. The total mass of the chain is . What is the work done in pulling the entire chain on the ta
A wire fixed at the upper end stretches by length by applying a force . The work done in stretching is
A piece of copper and another of germanium are cooled from room temperature to , the resistance of
If , then the angle between and is
The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of thermal conductivity and and thickness and , respectively, are and . The rate of heat
The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refractive index nnn ) is
A particle at the end of a spring executes with a period . While the corresponding period for another spring is . If the period of oscillation with the two springs in series is then
A nucleus disintegrated into two nuclear parts which have their velocities in the ratio of . The ratio of their nuclear sizes will be
Thermistors are usually made of
Two thermally insulated vessels 1 and 2 are filled with air at temperatures , volume and pressure respectively. If the value joining the two vessels is opened, the temperature inside the vessel at equ
Curie temperature is the temperature above which
The total current supplied to the circuit by the battery is
Time taken by a heater to heat one litre of water from to is
When junction diode is forward biased then
In an series . c. circuit, the voltage across each of the components, and is . The voltage across the combination will be
Spherical balls of radius are falling in a viscous fluid of viscosity with a velocity . The retarding viscous force acting on the spherical ball is
The total energy of particle, executing simple harmonic motion is
In a circuit capacitance is changed from to . For the resonant frequency to remain unchanged, the inductance should be changed from to
For a transistor amplifier in common emitter configuration for load impedance of and ) the current gain is
If two soap bubbles of different radii are connected by a tube
Two spherical conductors and having equal radii and carrying equal charges on them repel each other with a force when kept apart at some distance. A third spherical conductor having same radius as tha
A light ray is incident perpendicularly to one face of a prism and is totally internally reflected at the glass-air interface. If the angle of reflection is , we conclude that the refractive index
Two long conductors, separated by a distance carry current and in the same direction. They exert a force on each other. Now the current in one of them is increased to two times and its direction is re
A material ' has twice the specific resistance of ' . A circular wire made of ' has twice the diameter of a wire made of ' . Then for the two wires to have the same resistance, the ratio of their resp
A metal conductor of length rotates vertically about one of its ends at angular velocity 5 radians per second. If the horizontal component of earth's magnetic field is , then the . developed between t
Let be such that . If the projection along is equal to that of along and are perpendicular to each other then equals
A plano convex lens of refractive index 1.5 and radius of curvature . Is silvered at the curved surface. Now this lens has been used to form the image of an object. At what distance from this lens an
The work function of a substance is . The longest wavelength of light that can cause photo-electron emission from this substance is approximately.
A ball is thrown from a point with a speed at an angle of projection . From the same point and at the same instant person starts running with a constant speed to catch the ball. Will the person be abl
In a meter bridge experiment null point is obtained at , from one end of the wire when resistance is balanced against another resistance . If , then where will be the new position of the null point fr
The thermos of a thermocouple varies with temperature of the hot junction as in volts where the ratio is . If the cold junction is kept at , then the neutral temperature is
A body of mass , acceleration uniformly from rest to in time . The instantaneous power delivered to the body as a function of time is given by
The magnetic field due to a current carrying circular loop of radius at a point on the axis at a distance of from the centre is . What will be its value at the center of loop?
One solid sphere and another hollow sphere are of same mass and same outer radii. Their moment of inertia about their diameters are respectively and such that
A particles is acted upon by constant forces and which displace it from a point to the point . The work done in standard units by the forces is given by
The bob of a simple pendulum executes simple harmonic motion in water with a period , while the period of oscillation of the bob is in air. Neglecting frictional force of water and given that the dens
The binding energy per nucleon of deuteron and helium nucleus is and respectively. If two deuteron nuclei react to form a single helium nucleus, then the energy released is
An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii are in the ratio of and , then the ratio of the current passi
A satellite of mass revolves around the earth of radius at a height from its surface. If is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is
If is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass raised from the surface of the earth to a height equal to the radius of the earth is
If are non-coplanar vectors and is a real number, then the vectors and are non coplanar for
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement is proportional to
A radiation of energy falls normally on a perfectly reflecting surface. The momentum transferred to the surface is
An automobile travelling with speed of , can brake to stop within a distance of 20 . If the car is going twice as fast, i.e , the stopping distance will be
A long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is . It is then bent into a circular loop of turns. The magnetic field at th
Which one of the following represents the correct dimensions of the coefficient of viscosity?
A particle acted on by constant forces and is displaced from the point to the point . The total work done by the forces is
The Kirchhoff's first law and second law , where the symbols have their usual meanings, are respectively based on
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particles takes place in a plane. It follows that
A ball is released from the top of a tower of height meters. It takes seconds to reach the ground. What is the position of the ball in seconds?
A projectile can have the same range 'R' for two angles of projection. If and be the time of flights in the two cases, then the product of the two time of flights is directly proportional to
If the temperature of the sun were to increase from to and its radius from to , then the ratio of the radiant energy received on earth to what it was previously will be
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which on of the following will not be affected?
According to Einstein's photoelectric equation, the plot of the kinetic energy of the emitted photo electrons from a metal VsV sVs the frequency, of the incident radiation gives as straight the whose
The displacement of a particle in a medium can be expressed as, where is in second and in meter. The speed of the wave is
One mole of ideal monatomic gas is mixed with one mole of diatomic gas . What is for the mixture? Denotes the ratio of specific heat at constant pressure, to that at constant volume
Which of the following statements is FALSE for a particle moving in a circle with a constant angular speed?
The length of a magnet is large compared to its width and breadth. The time period of its oscillation in a vibration magnetometer is . The magnet is cut along its length into three equal parts and the
Alternating current can not be measured by . ammeter because
Suppose the gravitational force varies inversely as the power of distance. Then the time period of a planet in circular orbit of radius around the sun will be proportional to
An electromagnetic wave of frequency passes from vacuum into a dielectric medium with permittivity . Then
A machine gun fires a bullet of mass with a velocity . The man holding it can exert a maximum force of on the gun. How many bullets can he fire per second at the most?
A charged oil drop is suspended in a uniform field of so that it neither falls nor rises. The charge on the drop will be (Take the mass of the charge and )
In a uniform magnetic field of induction a wire in the form of a semicircle of radius rotates about the diameter of the circle with an angular frequency . The axis of rotation is perpendicular to the
The time period of an earth satellite in circular orbit is independent of
A block rests on a rough inclined plane 'making an angle of with the horizontal. The coefficient of static friction between the block and the plane is . If the frictionless force on the block is , the
In forced oscillation of a particle the amplitude is maximum for a frequency of the force while the energy is maximum for a frequency of the force; then
The resistance of the series combination of two resistances is . When they are jointed in parallel the total resistance is . If then the Minimum possible value of is
The materials suitable for making electromagnets should have
The electrochemical equivalent of a metal is per Coulomb. The mass of the metal liberated at the cathode when a current is passed for 2 seconds will be
Let and be non-zero vectors such that . If is the acute angle between the vectors and , then equals
Four charges equal to - are placed at the four corners of a square and a charge is at its center. If the system is in equilibrium the value of is
Which of the following statements is correct for any thermodynamic system ?
When transistor is used as an amplifier
An -particle of energy is scattered through by a fixed uranium nucleus. The distance of closest approach is of the order of
A charge particle is shot towards another charged particle which is fixed, with a speed ' . It approaches upto a closest distance and then returns. If were given a speed of the closest distances of ap
A particle of mass is attached to a spring (of spring constant ) and has a natural angular frequency . An external force proportional to is applied to the oscillator. The time displacement of the osci
The maximum number of possible interference maximum for slit-separation equal to twice the wavelength in Young's double-slit experiment is