Previous Year Questions
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How many moles of magnesium phosphate will contain mole of oxygen atoms?
of glucose is added to of water. The vapour pressure of water for this aqueous solution at is
Fluorobenzene can be synthesized in the laboratory
In , the bond possesses
Phosphorus pentachloride dissociates as follows, in a closed reaction vessel If total pressure at equilibrium of the reaction mixture is and degree of dissociation of is , the partial pressure of will
The correct order of increasing acid strength of the compounds (A) (B) (C)
Following statements regarding the periodic trends of chemical reactivity of the alkali metals and the halogens are given. Which of these statements gives the correct picture?
According to Bohr's theory, the angular momentum of an electron in orbit is
Which of the following chemical reactions depicts the oxidizing behaviour of ?
Nickel combines with a uninegative monodentate ligand to form a paramagnetic complex . The number of unpaired electron(s) in the nickel and geometry of this complex ion are, respectively
The "spin-only" magnetic moment [in units of Bohr magneton, in aqueous solution would be (Atomic number of )
Lanthanoid contraction is caused due to
Which of the following molecules/ions does not contain unpaired electrons?
A reaction was found to be second order with respect to the concentration of carbon monoxide. If the concentration of carbon monoxide is doubled, with everything else kept the same, the rate of reacti
In which of the following molecules/ions are all the bonds not equal?
The half-life of radioisotopic bromine - 82 is 36 hours. The fraction which remains after one day is_____ Given antilog [29-Jan-2024 Shift 2]
The structure of the major product formed in the following reactionis
Among the following the one that gives positives iodoform test upon reaction with and is
The equilibrium constant for the reaction is . The value of for the reaction will be
Increasing order of stability among the three main conformations (i.e. Eclipse, Anti, Gauche) of 2-fluoroethanol is
What products are expected from the disproportionation reaction of hypochlorous acid?
In the transformation of to , if one emission is an a-particle, what should be the other emission(s)?
Resistance of a conductivity cell filled with a solution of an electrolyte of concentration is . The conductivity of this solution is . Resistance of the same cell when filled with of the same solutio
The increasing order of the rate of addition to compounds is(A) (B) (C) (D) PhCOPh
Which of the following sets of ions represents a collection of isoelectronic species?
reacts with under anhydrous conditions at room temperature to give
The standard enthalpy of formation at for methane, , is . The additional information required to determine the average energy for bond formation would be
Which of the following statements is true?
The decreasing values of bond angles from to down group-15 of the periodic table is due to
The molar conductivities and and at infinite dilution in water at are and respectively. To calculate , the additional value required is
Total volume of atoms present in a face-centre cubic unit cell of a metal is ( is atomic radius)
The IUPAC name for the complex is
Rate of a reaction can be expressed by Arrhenius equation as: In this equation, E represents
The increasing order of stability of the following free radicals is
Reaction of trans-2-phenyl-1-bromocyclopentane on reaction with alcoholic produces
The enthalpy changes for the following processes are listed below: Given that the standard states for iodine and chlorine are and , the standard enthalpy of formation for is
Among the following mixtures, dipole-dipole as the major interaction, is present in
Uncertainty in the position of an electron (mass ) moving with a velocity 300 , accurate upto will be
The term anomers of glucose refers to
How many EDTA (ethylenediaminetetraacetic acid) molecules are required to make an octahedral complex with a ion?
Density of a solution of acetic acid in water is The molality of the solution is
The structure of the compound that gives a tribromo derivative on treatment with bromine water is
for the formation of carbon monoxide from its elements at is
The pyrimidine bases present in DNA are
The IUPAC name of the compound shown below is:
An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If is the initial temperature and is the final temperature, which of the following statements is correct?
The increasing order of the first ionization enthalpies of the elements B, P, S and F (lowest first) is
Given the data at , What is the value of for ? )
The electrophile involved in the above reaction is
A metal, forms chlorides in its and oxidation states. Which of the following statements about these chlorides is correct?
The decreasing order of the rate of the above reaction with nucleophiles to is
The following mechanism has been proposed for the reaction of with to form : If the second step is the rate determining step, the order of the reaction with respect to is
Phenyl magnesium bromide reacts with methanol to give
The alkene formed as a major product in the above elimination reaction is
is equal to
At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are of be selected, if a voter votes for at least one candidate,
The image of the point in the plane is
The value of is
If is real, the maximum value of is
A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length . The maximum area enclosed by the park is
All the values of for which both roots of the equation are greater than but less then 4 , lie in the interval
If and are square matrices of size such that , then which of the following will be always true?
is equal to
At a telephone enquiry system the number of phone cells regarding relevant enquiry follow Poisson distribution with an average of 5 phone calls during 10 minute time intervals. The probability that th
The function has a local minimum at
If , then is
The two lines and are perpendicular to each other if
The differential equation whose solution is where and are arbitrary constants is of
The value of where denotes the greatest integer not exceeding is
Angle between the tangents to the curve at the points and is
If the roots of the quadratic equation are and , respectively, then the value of is
Suppose a population A has 100 observations , and another population B has 100 observations . If and represent the variances of the two populations, respectively, then is
If , where is complex number, then value of is
Let and . Then
The set of points where is differentiable is
If the terminal speed of a sphere of gold (density ) is in a viscous liquid (density , find the terminal speed of a sphere of silver (density ) of the same size in the same liquid
The anode voltage of a photocell is kept fixed. The wavelength λλλ of the light falling on the cathode is gradually changed. The plate current I of the photocell varies as follows
A player caught a cricket ball of mass moving at a rate of . If the catching process is completed in , the force of the blow exerted by the ball on the hand of the player is equal to
A particle located at at time , starts moving along the positive -direction with a velocity ' ' that varies as . The displacement of the particle varies with time as
Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature , while Box contains one mole of helium at temperature . The boxes are then p
An inductor , a resistor and a battery are initially connected in series as shown in the figure. After a long time the battery is disconnected after short circuiting the points and . The current in th
The values of a, for which points with position vectors and respectively are the vertices of a right angled triangle with are
An alpha nucleus of energy bombards a heavy nuclear target of charge . Then the distance of closest approach for the alpha nucleus will be proportional to
The work of is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by . The gas is
In a Wheatstone's bridge, three resistance and connected in the three arms and the fourth arm is formed by two resistances and connected in parallel. The condition for the bridge to be balanced will b
The current I drawn from the 5 volt source will be
An electric bulb is rated 220 volt - 100 watt. The power consumed by it when operated on 110 volt will be
An electric dipole is placed at an angle of to a non-uniform electric field. The dipole will experience
A bomb of mass at rest explodes into two pieces of masses and . The velocity of the mass is . The kinetic energy of the other mass is
The rms value of the electric field of the light coming from the Sun is . The average total energy density of the electromagnetic wave is
Starting from the origin a body oscillates simple harmonically with a period of . After what time will its kinetic energy be of the total energy?
When nuclei are bombarded by protons, and the resultant nuclei are , the emitted particles will be
The ' is the correct unit used to report the measurement of
In the following, which one of the diodes is reverse biased?
Consider a two particle system with particles having masses and . If the first particle is pushed towards the center of mass through a distance , by what distance should the second particle is moved,
Four point masses, each of value , are placed at the corners of a square of side . The moment of inertia of this system about an axis passing through and parallel to is
In a common base mode of a transistor, the collector current is for an emitter current of . The value of the base current amplification factor will be
A thermocouple is made from two metals, Antimony and Bismuth. If one junction of the couple is kept hot and the other is kept cold, then, an electric current will
A string is stretched between fixed points separated by . It is observed to have resonant frequencies of and . There are no other resonant frequencies between these two. Then, the lowest resonant freq
A particle of mass is thrown vertically upwards with a speed of . The work done by the force of gravity during the time the particle goes up is
A mass of is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of with the initial vertical direction is
Two spherical conductors and of radii and are separated by a distance of and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the ma
A solid which is not transparent to visible light and whose conductivity increases with temperature is formed by
In a series resonant circuit, the voltage across is 100 volts and with . The resonant frequency is . At resonance the voltage across is
The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 , is . The period of oscillation is
Needles and are made of ferromagnetic, a paramagnetic and a diamagnetic substance respectively. A magnet when brought close to them will
Which of the following units denotes the dimension , where denotes the electric charge?
A coin is placed on a horizontal platform which undergoes vertical simple harmonic motoin of angular frequency . The amplitude of oscillation is gradually increased. The coin will leave contact with t
A whistle producing sound waves of frequencies and above is approaching a stationary person with speed . The velocity of sound in air is . If the person can hear frequencies upto a maximum of , the ma
If the binding energy per nucleon in and nuclei are and respectively, then in the reaction energy of proton must be
If the lattice constant of this semiconductor is decreased, then which of the following is correct?
The resistance of bulb filament is at a temperature of . If its temperature coefficient of resistance be per , its resistance will become at a temperature of
A thin circular ring of mass and radius is rotating about its axis with a constant angular velocity . Two objects each of mass are attached gently to the opposite ends of a diameter of the ring. The r
The circuit has two appositively connected ideal diodes in parallel. What is the current following in the circuit?
The potential energy of a particle free to move along the -axis is given by The total mechanical energy of the particle is . Then, the maximum speed (in ) is
Assuming the Sun to be a spherical body of radius at a temperature of , evaluate the total radiant powered incident of Earth at a distance from the SunWhere is the radius of the Earth and is Stefan's
The time taken by a photoelectron to come out after the photon strikes is approximately
In an generator, a coil with turns, all of the same area and total resistance , rotates with frequency in a magnetic field . The maximum value of generated in the coil is
A force of acts on , the origin of the coordinate system. The torque about the point is
The energy spectrum of -particles [ number as a function of -energy ] emitted from a radioactive source is
A ball of mass is thrown vertically upwards by applying a force by hand. If the hand moves while applying the force and the ball goes upto height further, find the magnitude of the force. (consider ).
A wire elongates by when a LOAD is hanged from it. If the wire goes over a pulley and two weights each are hung at the two ends, the elongation of the wire will be (in )
If the ratio of the concentration of electrons to that of holes in a semiconductor is and the ratio of currents is , then what is the ratio of their drift velocities?
In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from rest in this region. The path of the particle
The threshold frequency for a metallic surface corresponds to an energy of and the stopping potential for a radiation incident on this surface is . The incident radiation lies in
Two insulating plates are both uniformly charged in such a way that the potential difference between them is . (i.e., plate 2 is at a higher potential). The plates are separated by and can be treated
If where and are any three vectors such that then and are
A long solenoid has 200 turns per and carries a current . The magnetic field at its center is . Another long solenoid has 100 turns per and it carries a current . The value of the magnetic field at it
The flux linked with a coil at any instant ' is given by The induced at is
The refractive index of a glass is 1.5201.5201.520 for red light and 1.5251.5251.525 for blue light. Let D1D_1D1 and D2D_2D2 be angles of minimum deviation for red and blue light respectively in a p