AIEEE 2006

Paper was held on
Sat, Apr 29, 2006 9:30 AM

## Chemistry

How many moles of magnesium phosphate Mg3(PO4)2 will contain 0.25 mole of oxygen atoms?

View Question Density of a 2.05M solution of acetic acid in water is 1.02 g/mL The molality of the solution is

View Question According to Bohr's theory, the angular momentum of an electron in 5th orbit is

View Question Uncertainty in the position of an electron (mass = 9.1 $$\times$$ 10-31 kg) moving with a velocity 300 ms-1, accurate up

View Question Which of the following sets of ions represents a collection of isoelectronic species?

View Question Following statements regarding the periodic trends of chemical reactivity of the alkali metals and the
halogens are give

View Question Which of the following molecules/ions does not contain unpaired electrons?

View Question In which of the following molecules/ions are all the bonds not equal?

View Question The decreasing values of bond angles from NH3 (106o) to SbH3 (91o
) down group-15 of the periodic table is due to

View Question An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If Ti is the
initial temperatu

View Question ($$\Delta H - \Delta U$$) for the formation of carbon monoxide (CO) from its elements at 298 K is : (R = 8.314 J K–1 mol

View Question The standard enthalpy of formation $$\Delta _fH^o$$ at 298 K for methane, CH4(g), is –74.8 kJ mol–1. The additional info

View Question The enthalpy changes for the following processes are listed below :
Cl2(g) = 2Cl(g), 242.3 kJ mol–1
I2(g) = 2I(g), 151

View Question Phosphorus pentachloride dissociates as follows, in a closed reaction vessel
PCl5 (g) $$\leftrightharpoons$$ PCl3 (g) +

View Question The equilibrium constant for the reaction
SO3 (g) $$\leftrightharpoons$$ SO2 (g) + $$1 \over 2$$ O2 (g)
is Kc = 4.9 $$

View Question Given the data at 25oC,
Ag + I- $$\to$$ AgI + e- , Eo = 0.152 V
Ag $$\to$$ Ag+ + e-, Eo = -0.800 V
What is the value of

View Question The increasing order of stability of the following free radicals is

View Question Increasing order of stability among the three main conformations (i.e. Eclipse, Anti, Gauche) of
2-fluoroethanol is

View Question CH3Br + Nu- $$\to$$ CH3 - Nu + Br- The decreasing order of the rate of the above reaction with nucleophiles (Nu–) A to D

View Question Among the following mixtures, dipole-dipole as the major interaction, is present in

View Question 18 g of glucose (C6H12O6) is added to 178.2 g of water. The vapour pressure of water for this aqueous solution at 100oC

View Question The molar conductivities $$ \wedge _{NaOAc}^o$$ and $$ \wedge _{HCl}^o$$ and at infinite dilution in water at 25oC are

View Question Which of the following chemical reactions depicts the oxidizing behaviour of H2SO4?

View Question Resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1 M is 100$$\Omega $$.
The

View Question A reaction was found to be second order with respect to the concentration of carbon monoxide. If the
concentration of ca

View Question In the transformation of $${}_{92}^{238}U$$ to $${}_{92}^{234}U$$, if one emission is an α-particle, what should be the

View Question Rate of a reaction can be expressed by Arrhenius equation as:
$$$k = A\,{e^{ - E/RT}}$$$
In this equation, E represents

View Question The following mechanism has been proposed for the reaction of NO with Br2 to form NOBr:
NO(g) + Br2 (g) $$\leftrighthar

View Question The increasing order of the first ionization enthalpies of the elements B, P, S and F (lowest first) is :

View Question Which of the following statements is true?

View Question The “spin-only” magnetic moment [in units of Bohr magneton, (µB)] of Ni2+ in aqueous solution would
be : (Atomic number

View Question Lanthanoid contraction is caused due to :

View Question The IUPAC name for the complex [Co(NO2)(NH3)5]Cl2 is

View Question Nickel (Z = 28) combines with a uninegative monodentate ligand X– to form a paramagnetic complex [NiX4]2− . The number o

View Question In Fe(CO)5, the Fe – C bond possesses :

View Question How many EDTA (ethylenediaminetetraacetic acid) molecules are required to make an octahedral
complex with a Ca2+ ion?

View Question Phenyl magnesium bromide reacts with methanol to give

View Question Fluorobenzene (C6H5F) can be synthesized in the laboratory

View Question Reaction of trans-2-phenyl-1-bromocyclopentane on reaction with alcoholic KOH produces

View Question HBr reacts with CH2 = CH – OCH3 under anhydrous conditions at room temperature to give

View Question The increasing order of the rate of HCN addition to compounds A – D is
(A) HCHO (B) CH3COCH3
(C) PhCOCH3 (D) PhCOPh

View Question The term anomers of glucose refers to

View Question The pyrimidine bases present in DNA are

View Question The $$IUPAC$$ name of the compound shown below is :

View Question
The alkene formed as a major product in the above elimination reaction is

View Question The structure of the major product formed in the following reaction
is

View Question The structure of the compound that gives a tribromo derivative on treatment with bromine water is

View Question
The electrophile involved in the above reaction is

View Question Among the following the one that gives positives iodoform test upon reaction with $${I_2}$$ and $$NaOH$$ is

View Question The correct order of increasing acid strength of the compounds

View Question A metal, $$M$$ forms chlorides in its $$+2$$ and $$+4$$ oxidation states. Which of the following statements about these

View Question ## Mathematics

If $$0 < x < \pi $$ and $$\cos x + \sin x = {1 \over 2},$$ then $$\tan x$$ is :

View Question If $${z^2} + z + 1 = 0$$, where z is complex number, then value of $${\left( {z + {1 \over z}} \right)^2} + {\left( {{z^

View Question The value of $$\sum\limits_{k = 1}^{10} {\left( {\sin {{2k\pi } \over {11}} + i\,\,\cos {{2k\pi } \over {11}}} \right)}

View Question If the roots of the quadratic equation $${x^2} + px + q = 0$$ are $$\tan {30^ \circ }$$ and $$\tan {15^ \circ }$$, respe

View Question All the values of $$m$$ for which both roots of the equation $${x^2} - 2mx + {m^2} - 1 = 0$$ are greater than $$ - 2$$ b

View Question If $$x$$ is real, the maximum value of $${{3{x^2} + 9x + 17} \over {3{x^2} + 9x + 7}}$$ is

View Question At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 c

View Question If the expansion in powers of $$x$$ of the function $${1 \over {\left( {1 - ax} \right)\left( {1 - bx} \right)}}$$ is $$

View Question If $${{a_1},{a_2},....{a_n}}$$ are in H.P., then the expression $${{a_1}\,{a_2} + \,{a_2}\,{a_3}\, + .... + {a_{n - 1}}\

View Question Let $${a_1}$$, $${a_2}$$, $${a_3}$$.....be terms on A.P. If $${{{a_1} + {a_2} + .....{a_p}} \over {{a_1} + {a_2} + .....

View Question A straight line through the point $$A (3, 4)$$ is such that its intercept between the axes is bisected at $$A$$. Its equ

View Question If $$\left( {a,{a^2}} \right)$$ falls inside the angle made by the lines $$y = {x \over 2},$$ $$x > 0$$ and $$y = 3x,

View Question If the lines $$3x - 4y - 7 = 0$$ and $$2x - 3y - 5 = 0$$ are two diameters of a circle of area $$49\pi $$ square units,

View Question Let $$C$$ be the circle with centre $$(0, 0)$$ and radius $$3$$ units. The equation of the locus of the mid points of th

View Question The locus of the vertices of the family of parabolas
$$y = {{{a^3}{x^2}} \over 3} + {{{a^2}x} \over 2} - 2a$$ is :

View Question In the ellipse, the distance between its foci is $$6$$ and minor axis is $$8$$. Then its eccentricity is :

View Question The set of points where $$f\left( x \right) = {x \over {1 + \left| x \right|}}$$ is differentiable is

View Question If $${x^m}.{y^n} = {\left( {x + y} \right)^{m + n}},$$ then $${{{dy} \over {dx}}}$$ is

View Question The function $$f\left( x \right) = {x \over 2} + {2 \over x}$$ has a local minimum at

View Question A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides havi

View Question If $$A$$ and $$B$$ are square matrices of size $$n\, \times \,n$$ such that
$${A^2} - {B^2} = \left( {A - B} \right)\le

View Question Let $$A = \left( {\matrix{
1 & 2 \cr
3 & 4 \cr
} } \right)$$ and $$B = \left( {\matrix{
a & 0

View Question $$\int\limits_0^\pi {xf\left( {\sin x} \right)dx} $$ is equal to

View Question $$\int\limits_{ - {{3\pi } \over 2}}^{ - {\pi \over 2}} {\left[ {{{\left( {x + \pi } \right)}^3} + {{\cos }^2}\left( {x

View Question The value of $$\int\limits_1^a {\left[ x \right]} f'\left( x \right)dx,a > 1$$ where $${\left[ x \right]}$$ denotes t

View Question The differential equation whose solution is $$A{x^2} + B{y^2} = 1$$
where $$A$$ and $$B$$ are arbitrary constants is of

View Question At a telephone enquiry system the number of phone cells regarding relevant enquiry follow Poisson distribution with an a

View Question The values of a, for which the points $$A, B, C$$ with position vectors $$2\widehat i - \widehat j + \widehat k,\,\,\wi

View Question The two lines $$x=ay+b, z=cy+d;$$ and $$x=a'y+b' ,$$ $$z=c'y+d'$$ are perpendicular to each other if :

View Question Suppose a population A has 100 observations 101, 102,........, 200, and another
population B has 100 observations 151, 1

View Question Let $W$ denote the words in the English dictionary. Define the relation $R$ by
$R=\{(x, y) \in W \times W \mid$ the wor

View Question ## Physics

A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity
'v' that varies

View Question A mass of $$M$$ $$kg$$ is suspended by a weightless string. The horizontal force that is required to displace it until t

View Question A ball of mass $$0.2$$ $$kg$$ is thrown vertically upwards by applying a force by hand. If the hand moves $$0.2$$ $$m$$

View Question A coin is placed on a horizontal platform which undergoes vertical simple harmonic motoin of angular frequency $$\omega

View Question A player caught a cricket ball of mass $$150$$ $$g$$ moving at a rate of $$20$$ $$m/s.$$ If the catching process is com

View Question A particle of mass $$100g$$ is thrown vertically upwards with a speed of $$5$$ $$m/s$$. The work done by the force of gr

View Question The potential energy of a $$1$$ $$kg$$ particle free to move along the $$x$$-axis is given by $$V\left( x \right) = \lef

View Question A bomb of mass $$16kg$$ at rest explodes into two pieces of masses $$4$$ $$kg$$ and $$12$$ $$kg.$$ The velocity of the $

View Question Consider a two particle system with particles having masses $${m_1}$$ and $${m_2}$$. If the first particle is pushed tow

View Question A thin circular ring of mass $$m$$ and radius $$R$$ is rotating about its axis with a constant angular velocity $$\omega

View Question Four point masses, each of value $$m,$$ are placed at the corners of a square $$ABCD$$ of side $$l$$. The moment of iner

View Question If the terminal speed of a sphere of gold (density $$ = 19.5\,\,kg/{m^3}$$) is $$0.2$$ $$m/s$$ in a viscous liquid (dens

View Question A wire elongates by $$l$$ $$mm$$ when a LOAD $$W$$ is hanged from it. If the wire goes over a pulley and two weights $$W

View Question The work of $$146$$ $$kJ$$ is performed in order to compress one kilo mole of gas adiabatically and in this process the

View Question Assuming the Sun to be a spherical body of radius $$R$$ at a temperature of $$TK$$, evaluate the total radiant powered i

View Question Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperatu

View Question A force of $$ - F\widehat k$$ acts on $$O,$$ the origin of the coordinate system. The torque about the point $$(1, -1)$

View Question Starting from the origin a body oscillates simple harmonically with a period of $$2$$ $$s.$$ After what time will its ki

View Question The maximum velocity of a particle, executing simple harmonic motion with an amplitude $$7$$ $$mm,$$ is $$4.4$$ $$m/s.$$

View Question A string is stretched between fixed points separated by $$75.0$$ $$cm.$$ It is observed to have resonant frequencies of

View Question An electric dipole is placed at an angle of $${30^ \circ }$$ to a non-uniform electric field. The dipole will experience

View Question Two spherical conductors $$A$$ and $$B$$ of radii $$1$$ $$mm$$ and $$2$$ $$mm$$ are separated by a distance of $$5$$ $$c

View Question Two insulating plates are both uniformly charged in such a way that the potential difference between them is $${V_2} - {

View Question A thermocouple is made from two metals, Antimony and Bismuth. If one junction of the couple is kept hot and the other is

View Question An electric bulb is rated $$220$$ volt - $$100$$ watt. The power consumed by it when operated on $$110$$ volt will be

View Question In a Wheatstone's bridge, three resistance $$P, Q$$ and $$R$$ connected in the three arms and the fourth arm is formed b

View Question The resistance of bulb filmanet is $$100\Omega $$ at a temperature of $${100^ \circ }C.$$ If its temperature coefficient

View Question The current $${\rm I}$$ drawn from the $$5$$ volt source will be

View Question Needles $${N_1}$$, $${N_2}$$ and $${N_3}$$ are made of ferromagnetic, a paramagnetic and a diamagnetic substance respect

View Question In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A

View Question A long solenoid has $$200$$ turns per $$cm$$ and carries a current $$i.$$ The magnetic field at its center is $$6.28 \ti

View Question Which of the following units denotes the dimension $${{M{L^2}} \over {{Q^2}}}$$, where $$Q$$ denotes the electric charge

View Question In an $$AC$$ generator, a coil with $$N$$ turns, all of the same area $$A$$ and total resistance $$R,$$ rotates with fre

View Question In a series resonant $$LCR$$ circuit, the voltage across $$R$$ is $$100$$ volts and $$R = 1\,k\Omega $$ with $$C = 2\mu

View Question The flux linked with a coil at any instant $$'t'$$ is given by
$$\phi = 10{t^2} - 50t + 250$$
The induced $$emf$$ at

View Question The refractive index of a glass is $$1.520$$ for red light and $$1.525$$ for blue light. Let $${D_1}$$ and $${D_2}$$ be

View Question An inductor $$(L=100$$ $$mH)$$, a resistor $$\left( {R = 100\,\Omega } \right)$$ and a battery $$\left( {E = 100V} \righ

View Question The threshold frequency for a metallic surface corresponds to an energy of $$6.2$$ $$eV$$ and the stopping potential for

View Question An alpha nucleus of energy $${1 \over 2}m{v^2}$$ bombards a heavy nuclear target of charge $$Ze$$. Then the distance of

View Question The time taken by a photoelectron to come out after the photon strikes is approximately

View Question If the ratio of the concentration of electrons to that of holes in a semiconductor is $${7 \over 5}$$ and the ratio of c

View Question When $${}_3L{i^7}$$ nuclei are bombarded by protons, and the resultant nuclei are $${}_4B{e^8}$$, the emitted particles

View Question A solid which is not transparent to visible light and whose conductivity increases with temperature is formed by

View Question If the binding energy per nucleon in $${}_3^7Li$$ and $${}_2^4He$$ nuclei are $$5.60$$ $$MeV$$ and $$7.06$$ $$MeV$$ resp

View Question The $$rms$$ value of the electric field of the light coming from the Sun is $$720$$ $$N/C.$$ The average total energy de

View Question The circuit has two oppositively connected ideal diodes in parallel. What is the current following in the circuit?

View Question In the following, which one of the diodes is reverse biased?

View Question The anode voltage of a photocell is kept fixed. The wavelength $$\lambda $$ of the light falling on the cathode is gradu

View Question If the lattice constant of this semiconductor is decreased, then which of the following is correct?

View Question