Previous Year Questions
78 questions — organised by subject with solutions and explanations.
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The alkene that exhibits geometrical isomerism is :
Solid is gradually dissolved in a solution. At what concentration of will a precipitate begin to form ?
Copper crystallizes in fcc with a unit cell length of . What is the radius of copper atom?
The half life period of a first order chemical reaction is minutes. The time required for the completion of of the chemical reaction will be :
Two liquids and form an ideal solution. At , vapour pressure of the solution containing of and of is . At the same temperature, if of is further added to this solution, vapour pressure of the solution
A liquid was mixed with ethanol and a drop of concentrated was added. A compound with a fruity smell was formed. The liquid was:
In context with the transition elements, which of the following statements is incorrect?
Knowing that the Chemistry of lanthanoids is dominated by its oxidation state, which of the following statements is incorrect?
In a fuel cell methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is At standard Gibb's energies of formation for and are , and respectively. If standard enthalpy of combusti
Given : The value of standard electrode potential for the change, will be
In which of the following arrangements, the sequence is not strictly according to the property written against it
The set representing the correct order of ionic radius is:
In Cannizzaro reaction given below the slowest step is :
The two functional groups present in a typical carbohydrate are
The IUPAC name of neopentane is
Which of the following on heating with aqueous , produces acetaldehyde?
In an atom, an electron is moving with a speed of with an accuracy of . Certainty with which the position of the electron can be located is , mass of electron, )
The number of stereoisomers possible for a compound of the molecular formula is :
The major product obtained on interaction of phenol with sodium hydroxide and carbon dioxide is:
Which one of the following reactions of Xenon compounds is not feasible?
Arrange the carbanions, in order of their decreasing stability :
Which of the following has an optical isomer?
On the basis of the following thermochemical data : The value of enthalpy of formation of ion at is
Which of the following pairs represents linkage isomers?
A binary liquid solution is prepared by mixing n-heptane and ethanol. Which one of the following statements is correct regarding the behaviour of the solution?
Calculate the wavelength (in nanometer) associated with a proton moving at (Mass of proton and )
Using MO theory, predict which of the following species has the shortest bond length?
Given such that is the only real root of . If , then in the interval :
, where [.] denotes the greatest integer function, is equal to:
If the roots of the equation imaginary, then for all real values of , the expression is :
Let be a matrixStatement - Statement -
Let the line lie in the plane . Then equals
Let be such that if then the value of :
The differential equation which represents the family of curves , where , and are arbitrary constants, is
Statement The variance of first even natural numbers is Statement : The sum of first natural numbers is and the sum of squares of first natural numbers is
The quadratic equations and have one root in common. The other roots of the first and second equations are integers in the ratio . Then the common root is
One ticket is selected at random from 50 tickets numbered . Then the probability that the sum of the digits on the selected ticket is 8 , given that the product of these digits is zero, equals:
For real , let , then
If , then the maximum value of is equal to:
The area of the region bounded by the parabola , the tangent of the parabola at the point and the -axis is :
Let and .Statement-1: gof is differentiable at and its derivative is continuous at that point.Statement-2: gof is twice differentiable at .
In a binomial distribution , if the probability of at least one success is greater than or equal to , then is greater than:
Let be an implicit function of defined by . Then equals
The projections of a vector on the three coordinate axis are respectively. The direction cosines of the vector are:
If the mean deviation of number from their mean is 255 , then the is equal to
Let Statement - 1: The set .Statement is a bijection.
From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of s
A long metallic bar is carrying heat from one of its ends to the other end under steadystate. The variation of temperature along the length of the bar from its hot end is best described by which of th
A thin uniform rod of length and mass is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is . Its center of mass rises to a maximum height of:
A current loop is held fixed on the plane of the paper as shown in the figure. The arcs (radius ) and (radius ) of the loop are joined by two straight wires and . A steady current is flowing in the lo
Consider a rubber ball freely falling from a height onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic.Then the ve
The logic circuit shown below has the input waveforms and as shown. Pick out the correct output waveform.
Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area and wire 2 has cross-sectional area . If the length of wire 1 increases by on applying force ,
A charge is placed at each of the opposite corners of a square. A charge is placed at each of the other two corners. If the net electrical force on is zero, then equals:
A mixture of light, consisting of wavelength and an unknown wavelength, illuminates Young's double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of bo
In an experiment the angles are required to be measured using an instrument, 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the
If and denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period , then, which of the following does not change with time?
Statement - 1: The temperature dependence of resistance is usually given as . The resistance of wire changes from to when its temperature is increased from to . This implies that .Statement - 2: is va
In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is adjusted to get a clear image of the object. A graph
The above is a plot of binding energy per nucleon , against the nuclear mass correspond to different nuclei. Consider four reactions :(i) (ii) (iii) (iv) where is the energy released? In which reactio
If are non-coplanar vectors and are real numbers, then the equality
The surface of a metal is illuminated with the light of . The kinetic energy of the ejected photoelectrons was found to be . The work function of the metal is : ( )
Two moles of helium gas are taken over the cycle , as shown in the - diagram.The net work done on the gas in the cycle is:
Two moles of helium gas are taken over the cycle , as shown in the diagram.Assuming the gas to be ideal the work done on the gas in taking it from to 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 : For a charged particle moving
A transparent solid cylindrical rod has a refractive index of . It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure. The incident angle for w
A - junction shown in the figure can act as a rectifier. An alternating current source is connected in the circuit.The current in the resistor can be shown by :
A particle has an initial velocity and an acceleration of . Its speed after is:
Three sound waves of equal amplitudes have frequencies . They superpose to give beats. The number of beats produced per second will be :
A motor cycle starts from rest and accelerates along a straight path at . At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the drive
The transition from the state to in a hydrogen like atom result in ultra violet radiation. Infrared radiation will be obtained in the transition from :
Let be the change density distribution for a solid sphere of radius and total charge . For a point inside the sphere at distance from the center of the sphere, the magnitude of electric field is :
A current loop is held fixed on the plane of the paper as shown in the figure. The arcs (radius ) and (radius ) of the loop are joined by two straight wires and . A steady current is flowing in the lo
One of a diatomic gas is at a pressure of . The density of the gas is . What is the energy of the gas due to its thermal motion?
Two points and are maintained at the potentials of and , respectively. The work done in moving 100 electrons from to is :
The height at which the acceleration due to gravity becomes (where the acceleration due to gravity on the surface of the earth) in terms of , the radius of the earth, is:
An inductor of inductance and resistors of resistance and are connected to a battery of emf as shown in the figure. The internal resistance of the battery is negligible. The switch is closed at . The
Two moles of helium gas are taken over the cycle , as shown in the - diagram.The work done on the gas in taking it from to is :