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AIEEE 2006

Exam Held on Sat Apr 29 2006 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

How many moles of magnesium phosphate Mg<sub>3</sub>(PO<sub>4</sub>)<sub>2</sub>...
Density of a 2.05M solution of acetic acid in water is 1.02 g/mL The molality of...
According to Bohr's theory, the angular momentum of an electron in 5<sup>th</sup...
Uncertainty in the position of an electron (mass = 9.1 $$\times$$ 10<sup>-31</su...
Which of the following sets of ions represents a collection of isoelectronic spe...
Following statements regarding the periodic trends of chemical reactivity of the...
Which of the following molecules/ions does not contain unpaired electrons?
In which of the following molecules/ions are all the bonds <b>not</b> equal?
The decreasing values of bond angles from NH<sub>3</sub> (106<sup>o</sup>) to Sb...
An ideal gas is allowed to expand both reversibly and irreversibly in an isolate...
($$\Delta H - \Delta U$$) for the formation of carbon monoxide (CO) from its ele...
The standard enthalpy of formation $$\Delta _fH^o$$ at 298 K for methane, CH<sub...
The enthalpy changes for the following processes are listed below: <br><br> Cl<s...
Phosphorus pentachloride dissociates as follows, in a closed reaction vessel<br>...
The equilibrium constant for the reaction <br> SO<sub>3</sub> (g) $$\leftrightha...
Given the data at 25<sup>o</sup>C, <br> Ag + I<sup>-</sup> $$\to$$ AgI + e<sup>-...
The ionic mobility of alkali metal ions in aqueous solution is maximum for
The increasing order of stability of the following free radicals is
Increasing order of stability among the three main conformations (i.e. Eclipse, ...
CH<sub>3</sub>Br + Nu<sup>-</sup> $$\to$$ CH<sub>3</sub> - Nu + Br<sup>-</sup> T...
In Langmuir’s model of adsorption of a gas on a solid surface
Total volume of atoms present in a face-centre cubic unit cell of a metal is (r ...
Among the following mixtures, dipole-dipole as the major interaction, is present...
18 g of glucose (C<sub>6</sub>H<sub>12</sub>O<sub>6</sub>) is added to 178.2 g o...
The molar conductivities $$ \wedge _{NaOAc}^o$$ and $$ \wedge _{HCl}^o$$ and at...
Which of the following chemical reactions depicts the oxidizing behaviour of H<s...
Resistance of a conductivity cell filled with a solution of an electrolyte of co...
A reaction was found to be second order with respect to the concentration of car...
In the transformation of $${}_{92}^{238}U$$ to $${}_{92}^{234}U$$, if one emissi...
Rate of a reaction can be expressed by Arrhenius equation as: <br> $$$k = A\,{e^...
The following mechanism has been proposed for the reaction of NO with Br<sub>2</...
The increasing order of the first ionization enthalpies of the elements B, P, S ...
Which of the following statements is true?
What products are expected from the disproportionation reaction of hypochlorous ...
The “spin-only” magnetic moment [in units of Bohr magneton, (µ<sub>B</sub>)] of...
Lanthanoid contraction is caused due to
The IUPAC name for the complex [Co(NO)<sub>2</sub>(NH<sub>3</sub>)<sub>5</sub>]C...
Nickel (Z = 28) combines with a uninegative monodentate ligand X<sup>–</sup> to ...
In Fe(CO)<sub>5</sub>, the Fe – C bond possesses
How many EDTA (ethylenediaminetetraacetic acid) molecules are required to make a...
Phenyl magnesium bromide reacts with methanol to give
Fluorobenzene (C<sub>6</sub>H<sub>5</sub>F) can be synthesized in the laboratory...
Reaction of trans-2-phenyl-1-bromocyclopentane on reaction with alcoholic KOH pr...
HBr reacts with CH<sub>2</sub> = CH – OCH<sub>3</sub> under anhydrous conditions...
The increasing order of the rate of HCN addition to compounds A – D is<br> (A) ...
The term anomers of glucose refers to
The pyrimidine bases present in DNA are
The $$IUPAC$$ name of the compound shown below is : <br><br><img class="questio...
<img class="question-image" src="https://imagex.cdn.examgoal.net/fbFiulJN910wXkg...
The structure of the major product formed in the following reaction <br><br><img...
The structure of the compound that gives a tribromo derivative on treatment with...
<img class="question-image" src="https://imagex.cdn.examgoal.net/IZg8KqCorYvhihg...
Among the following the one that gives positives iodoform test upon reaction wit...
The correct order of increasing acid strength of the compounds <br><br><img cla...
A metal, $$M$$ forms chlorides in its $$+2$$ and $$+4$$ oxidation states. Which ...

Mathematics

The number of values of $$x$$ in the interval $$\left[ {0,3\pi } \right]\,$$ sa...
If $$0 &lt; x &lt; \pi $$ and $$\cos x + \sin x = {1 \over 2},$$ then $$\tan x$$...
If $${z^2} + z + 1 = 0$$, where z is complex number, then value of $${\left( {z ...
The value of $$\sum\limits_{k = 1}^{10} {\left( {\sin {{2k\pi } \over {11}} + i\...
If the roots of the quadratic equation $${x^2} + px + q = 0$$ are $$\tan {30^ \c...
All the values of $$m$$ for which both roots of the equation $${x^2} - 2mx + {m^...
If $$x$$ is real, the maximum value of $${{3{x^2} + 9x + 17} \over {3{x^2} + 9x ...
At an election, a voter may vote for any number of candidates, not greater than ...
If the expansion in powers of $$x$$ of the function $${1 \over {\left( {1 - ax} ...
For natural numbers $$m$$ , $$n$$, if $${\left( {1 - y} \right)^m}{\left( {1 + ...
If $${{a_1},{a_2},....{a_n}}$$ are in H.P., then the expression $${{a_1}\,{a_2} ...
Let $${a_1}$$, $${a_2}$$, $${a_3}$$.....be terms on A.P. If $${{{a_1} + {a_2} + ...
A straight line through the point $$A (3, 4)$$ is such that its intercept betwee...
If $$\left( {a,{a^2}} \right)$$ falls inside the angle made by the lines $$y = {...
If the lines $$3x - 4y - 7 = 0$$ and $$2x - 3y - 5 = 0$$ are two diameters of a...
Let $$C$$ be the circle with centre $$(0, 0)$$ and radius $$3$$ units. The equat...
The locus of the vertices of the family of parabolas <br>$$y = {{{a^3}{x^2}} \o...
In the ellipse, the distance between its foci is $$6$$ and minor axis is $$8$$. ...
Angle between the tangents to the curve $$y = {x^2} - 5x + 6$$ at the points $$(...
The set of points where $$f\left( x \right) = {x \over {1 + \left| x \right|}}$$...
If $${x^m}.{y^n} = {\left( {x + y} \right)^{m + n}},$$ then $${{{dy} \over {dx}...
The function $$f\left( x \right) = {x \over 2} + {2 \over x}$$ has a local minim...
A triangular park is enclosed on two sides by a fence and on the third side by a...
If $$A$$ and $$B$$ are square matrices of size $$n\, \times \,n$$ such that <br...
Let $$A = \left( {\matrix{ 1 &amp; 2 \cr 3 &amp; 4 \cr } } \right)$$...
$$\int\limits_0^\pi {xf\left( {\sin x} \right)dx} $$ is equal to
$$\int\limits_{ - {{3\pi } \over 2}}^{ - {\pi \over 2}} {\left[ {{{\left( {x + ...
The value of $$\int\limits_1^a {\left[ x \right]} f'\left( x \right)dx,a &gt; 1$...
The differential equation whose solution is $$A{x^2} + B{y^2} = 1$$ <br>where $...
At a telephone enquiry system the number of phone cells regarding relevant enqui...
If $$\left( {\overrightarrow a \times \overrightarrow b } \right) \times \overr...
The values of a, for which points $$A, B, C$$ with position vectors $$2\widehat...
The image of the point $$(-1, 3,4)$$ in the plane $$x-2y=0$$ is
The two lines $$x=ay+b, z=cy+d;$$ and $$x=a'y+b' ,$$ $$z=c'y+d'$$ are perpendicu...
Suppose a population A has 100 observations 101, 102,........, 200, and another ...

Physics

A particle located at x = 0 at time t = 0, starts moving along the positive x-di...
A mass of $$M$$ $$kg$$ is suspended by a weightless string. The horizontal force...
A ball of mass $$0.2$$ $$kg$$ is thrown vertically upwards by applying a force b...
A coin is placed on a horizontal platform which undergoes vertical simple harmon...
A player caught a cricket ball of mass $$150$$ $$g$$ moving at a rate of $$20$$ ...
A particle of mass $$100g$$ is thrown vertically upwards with a speed of $$5$$ $...
The potential energy of a $$1$$ $$kg$$ particle free to move along the $$x$$-axi...
A bomb of mass $$16kg$$ at rest explodes into two pieces of masses $$4$$ $$kg$$ ...
Consider a two particle system with particles having masses $${m_1}$$ and $${m_2...
A thin circular ring of mass $$m$$ and radius $$R$$ is rotating about its axis w...
Four point masses, each of value $$m,$$ are placed at the corners of a square $$...
If the terminal speed of a sphere of gold (density $$ = 19.5\,\,kg/{m^3}$$) is $...
A wire elongates by $$l$$ $$mm$$ when a LOAD $$W$$ is hanged from it. If the wir...
The work of $$146$$ $$kJ$$ is performed in order to compress one kilo mole of ga...
Assuming the Sun to be a spherical body of radius $$R$$ at a temperature of $$TK...
Two rigid boxes containing different ideal gases are placed on a table. Box A co...
A force of $$ - F\widehat k$$ acts on $$O,$$ the origin of the coordinate syste...
Starting from the origin a body oscillates simple harmonically with a period of ...
The maximum velocity of a particle, executing simple harmonic motion with an amp...
A whistle producing sound waves of frequencies $$9500$$ $$Hz$$ and above is appr...
A string is stretched between fixed points separated by $$75.0$$ $$cm.$$ It is o...
An electric dipole is placed at an angle of $${30^ \circ }$$ to a non-uniform el...
Two spherical conductors $$A$$ and $$B$$ of radii $$1$$ $$mm$$ and $$2$$ $$mm$$ ...
Two insulating plates are both uniformly charged in such a way that the potentia...
A thermocouple is made from two metals, Antimony and Bismuth. If one junction of...
An electric bulb is rated $$220$$ volt - $$100$$ watt. The power consumed by it ...
In a Wheatstone's bridge, three resistance $$P, Q$$ and $$R$$ connected in the t...
The resistance of bulb filmanet is $$100\Omega $$ at a temperature of $${100^ \c...
The current $${\rm I}$$ drawn from the $$5$$ volt source will be <img class="qu...
Needles $${N_1}$$, $${N_2}$$ and $${N_3}$$ are made of ferromagnetic, a paramagn...
In a region, steady and uniform electric and magnetic fields are present. These ...
A long solenoid has $$200$$ turns per $$cm$$ and carries a current $$i.$$ The ma...
Which of the following units denotes the dimension $${{M{L^2}} \over {{Q^2}}}$$,...
In an $$AC$$ generator, a coil with $$N$$ turns, all of the same area $$A$$ and ...
In a series resonant $$LCR$$ circuit, the voltage across $$R$$ is $$100$$ volts ...
The flux linked with a coil at any instant $$'t'$$ is given by <br>$$\phi = 10...
The refractive index of a glass is $$1.520$$ for red light and $$1.525$$ for blu...
An inductor $$(L=100$$ $$mH)$$, a resistor $$\left( {R = 100\,\Omega } \right)$$...
In a common base mode of a transistor, the collector current is $$5.488$$ $$mA$$...
The threshold frequency for a metallic surface corresponds to an energy of $$6.2...
An alpha nucleus of energy $${1 \over 2}m{v^2}$$ bombards a heavy nuclear target...
The time taken by a photoelectron to come out after the photon strikes is approx...
If the ratio of the concentration of electrons to that of holes in a semiconduct...
When $${}_3L{i^7}$$ nuclei are bombarded by protons, and the resultant nuclei ar...
A solid which is not transparent to visible light and whose conductivity increas...
If the binding energy per nucleon in $${}_3^7Li$$ and $${}_2^4He$$ nuclei are $$...
The $$'rad'$$ is the correct unit used to report the measurement of
The $$rms$$ value of the electric field of the light coming from the Sun is $$72...
The circuit has two oppositively connected ideal diodes in parallel. What is the...
The energy spectrum of $$\beta $$-particles [ number $$N(E)$$ as a function of $...
In the following, which one of the diodes is reverse biased?
The anode voltage of a photocell is kept fixed. The wavelength $$\lambda $$ of t...
If the lattice constant of this semiconductor is decreased, then which of the fo...

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