AIEEE 2007

Paper was held on
Sun, Apr 29, 2007 9:30 AM

## Chemistry

The density (in g mL-1) of a 3.60 M sulphuric acid solution that is 29% H2SO4 (molar mass = 98 g mol-1) by mass will be

View Question In the reaction
2Al(s) + 6HCl(aq) $$\to$$ 2Al3+ (aq) + 6Cl-(aq) + 3H2(g)

View Question Which of the following sets of quantum numbers represents the highest energy of an atom?

View Question The charge/size ratio of a cation determines its polarizing power. Which one of the following
sequences represents the i

View Question Which of the following species exhibits the diamagnetic behaviour?

View Question In which of the following ionization processes, the bond order has increased and the magnetic
behaviour has changed?

View Question Which of the following hydrogen bonds is the strongest?

View Question In conversion of lime-stone to lime,
CaCO3(s) $$\to$$ CaO(s) + CO2 (g) the vales of ∆H° and ∆S° are +179.1 kJ mol−1
an

View Question Identify the correct statement regarding a spontaneous process :

View Question The first and second dissociation constants of an acid H2A are 1.0 $$\times$$ 10−5
and 5.0 $$\times$$ 10−10 respectivel

View Question The pKa of a weak acid (HA) is 4.5. The pOH of an aqueous buffered solution of HA in which 50% of
the acid is ionized is

View Question In a sautrated solution of the sparingly soluble strong electrolyte AgIO3 (Molecular mass = 283) the
equilibrium which s

View Question Presence of a nitro group in a benzene ring

View Question Which one of the following conformation of cyclohexane is chiral?

View Question The compound formed as a result of oxidation of ethyl benzene by KMnO4 is :

View Question The reaction of toluene with Cl2 in presence of FeCl3 gives predominantly

View Question Which of the following reactions will yield 2, 2-dibromopropane?

View Question A 5.25 % solution of a substance is isotonic with a 1.5% solution of urea (molar mass = 60 g mol−1) in
the same solvent.

View Question A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of 290 mm at 300 K. The vapour
pressure of propyl al

View Question The equivalent conductances of two strong electrolytes at infinite dilution in H2O (where ions move
freely through a sol

View Question The cell, Zn | Zn2+ (1M) || Cu2+ (1M) | Cu($$E_{cell}^o$$ = 1.10V) was allowed to be completely discharged at 298 K. Th

View Question The energies of activation for forward and reverse reactions for A2 + B2 $$\leftrightharpoons$$ 2AB are 180 kJ mol−1
and

View Question Consider the reaction, 2A + B $$\to$$ products. When concentration of B alone was doubled, the half-life did not change.

View Question A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial
activity is

View Question Which of the following nuclear reactions will generate an isotope?

View Question Regular use of which of the following fertilizer increases the acidity of soil?

View Question Identify the incorrect statement among the following :

View Question The actinoids exhibits more number of oxidation states in general than the lanthanoids. This is
because :

View Question Which one of the following has a square planar geometry?

View Question Which of the following is the correct order of decreasing SN2 reactivity?

View Question In the following sequence of reactions,
CH3CH2OH $$\buildrel {P + {I_2}} \over
\longrightarrow $$ A $$\mathrel{\mathop

View Question Which one of the following is the strongest base in aqueous solution?

View Question In the chemical reaction,
CH3CH2NH2 + CHCl3 + 3KOH $$\to$$ (A) + (B) + 3H2O, the compound (A) and (B) are respectively

View Question The secondary structure of a protein refers to

View Question Assuming that water vapour is an ideal gas, the internal energy change $$\left( {\Delta U} \right)$$ when $$1$$ mol of w

View Question Which of the following molecules is expected to rotate the plane of plane - polarized light?

View Question The stability of dihalides of $$Si,Ge,Sn$$ and $$Pb$$ increases steadily in the sequence :

View Question ## Mathematics

If $$\,\left| {z + 4} \right|\,\, \le \,\,3\,$$, then the maximum value of $$\left| {z + 1} \right|$$ is :

View Question If the difference between the roots of the equation $${x^2} + ax + 1 = 0$$ is less than $$\sqrt 5 ,$$ then the set of po

View Question The set S = {1, 2, 3, ........., 12} is to be partitioned into three sets A, B, C of equal size. Thus $$A \cup B \cup C

View Question In the binomial expansion of $${\left( {a - b} \right)^n},\,\,\,n \ge 5,$$ the sum of $${5^{th}}$$ and $${6^{th}}$$ term

View Question In a geometric progression consisting of positive terms, each term equals the sum of the next two terns. Then the common

View Question Let A $$\left( {h,k} \right)$$, B$$\left( {1,1} \right)$$ and C $$(2, 1)$$ be the vertices of a right angled triangle wi

View Question For the Hyperbola $${{{x^2}} \over {{{\cos }^2}\alpha }} - {{{y^2}} \over {{{\sin }^2}\alpha }} = 1$$ , which of the fol

View Question If sin-1$$\left( {{x \over 5}} \right)$$ + cosec-1$$\left( {{5 \over 4}} \right)$$ = $${\pi \over 2}$$, then the value

View Question The function $$f\left( x \right) = {\tan ^{ - 1}}\left( {\sin x + \cos x} \right)$$ is an incresing function in

View Question If $$p$$ and $$q$$ are positive real numbers such that $${p^2} + {q^2} = 1$$, then the maximum value of $$(p+q)$$ is

View Question If $$D = \left| {\matrix{
1 & 1 & 1 \cr
1 & {1 + x} & 1 \cr
1 & 1 & {1 + y} \cr

View Question $$\int {{{dx} \over {\cos x + \sqrt 3 \sin x}}} $$ equals

View Question Let $$F\left( x \right) = f\left( x \right) + f\left( {{1 \over x}} \right),$$ where $$f\left( x \right) = \int\limits_l

View Question The solution for $$x$$ of the equation $$\int\limits_{\sqrt 2 }^x {{{dt} \over {t\sqrt {{t^2} - 1} }} = {\pi \over 2}}

View Question Let $$I = \int\limits_0^1 {{{\sin x} \over {\sqrt x }}dx} $$ and $$J = \int\limits_0^1 {{{\cos x} \over {\sqrt x }}dx} .

View Question The area enclosed between the curves $${y^2} = x$$ and $$y = \left| x \right|$$ is :

View Question Two aeroplanes $${\rm I}$$ and $${\rm I}$$$${\rm I}$$ bomb a target in succession. The probabilities of $${\rm I}$$ and

View Question If a line makes an angle of $$\pi /4$$ with the positive directions of each of $$x$$-axis and $$y$$-axis, then the angle

View Question If $$\widehat u$$ and $$\widehat v$$ are unit vectors and $$\theta $$ is the acute angle between them, then $$2\widehat

View Question Let $$L$$ be the line of intersection of the planes $$2x+3y+z=1$$ and $$x+3y+2z=2.$$ If $$L$$ makes an angle $$\alpha $$

View Question The largest interval lying in $$\left( { - {\pi \over 2},{\pi \over 2}} \right)$$ for which the function
$$f\left( x \

View Question Let $$f:R \to R$$ be a function defined by
$$f(x) = \min \left\{ {x + 1,\left| x \right| + 1} \right\}$$, then which of

View Question The function $$f:R/\left\{ 0 \right\} \to R$$ given by
$$f\left( x \right) = {1 \over x} - {2 \over {{e^{2x}} - 1}}$$
ca

View Question The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys
and girls combined is 50.

View Question ## Physics

The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit tim

View Question A particle is projected at $$60^\circ $$ to the horizontal with a kinetic energy K. The kinetic energy at the
highest po

View Question A block of mass $$m$$ is connected to another block of $$mass$$ $$M$$ by a spring (massless) of spring constant $$k.$$ T

View Question A $$2$$ $$kg$$ block slides on a horizontal floor with a speed of $$4m/s.$$ It strikes a uncompressed spring, and compre

View Question A circular disc of radius $$R$$ is removed from a bigger circular disc of radius $$2R$$ such that the circumferences of

View Question A round uniform body of radius $$R,$$ mass $$M$$ and moment of inertia $$I$$ rolls down (without slipping) an inclined p

View Question Angular momentum of the particle rotating with a central force is constant due to

View Question If $${C_p}$$ and $${C_v}$$ denote the specific heats of nitrogen per unit mass at constant pressure and constant volume

View Question For the given uniform square lamina $$ABCD$$, whose center is $$O,$$

View Question When a system is taken from state $$i$$ to state $$f$$ along the path iaf, it is found that $$Q=50$$ cal and $$W=20$$ $$

View Question One end of a thermally insulated rod is kept at a temperature $${T_1}$$ and the other at $${T_2}$$. The rod is composed

View Question Two springs, of force constant $${k_1}$$ and $${k_2}$$ are connected to a mass $$m$$ as shown. The frequency of oscillat

View Question A particle of mass $$m$$ executes simple harmonic motion with amplitude a and frequency $$v.$$ The average kinetic energ

View Question A point mass oscillates along the $$x$$-axis according to the law $$x = {x_0}\,\cos \left( {\omega t - \pi /4} \right).$

View Question The displacement of an object attached to a spring and executing simple harmonic motion is given by $$x = 2 \times {10^{

View Question A sound absorber attenuates the sound level by $$20$$ $$dB$$. The intensity decreases by a factor of

View Question An electric charge $${10^{ - 3}}\,\,\mu \,C$$ is placed at the origin $$(0,0)$$ of $$X-Y$$ co-ordinate system. Two point

View Question Charges are placed on the vertices of a square as shown. Let $$\overrightarrow E $$ be the electric field and $$V$$ the

View Question The potential at a point $$x$$ (measured in $$\mu \,m$$) due to some charges situated on the $$x$$-axis is given by $$V\

View Question A parallel plate condenser with a dielectric of dielectric constant $$K$$ between the plates has a capacity $$C$$ and is

View Question If $${g_E}$$ and $${g_M}$$ are the accelerations due to gravity on the surfaces of the earth and the moon respectively a

View Question A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to

View Question The resistance of a wire is $$5$$ ohm at $${50^ \circ }C$$ and $$6$$ ohm at $${100^ \circ }C.$$ The resistance of the wi

View Question A charged particle with charge $$q$$ enters a region of constant, uniform and mutually orthogonal fields $$\overrightarr

View Question A charged particle moves through a magnetic field perpendicular to its direction. Then

View Question A current $$I$$ flows along the length of an infinitely long, straight, thin walled pipe. Then

View Question A long straight wire of radius $$a$$ carries a steady current $$i.$$ The current is uniformly distributed across its cr

View Question Two identical conducting wires $$AOB$$ and $$COD$$ are placed at right angles to each other. The wire $$AOB$$ carries an

View Question An ideal coil of $$10H$$ is connected in series with a resistance of $$5\Omega $$ and a battery of $$5V$$. $$2$$ second

View Question In an $$a.c.$$ circuit the voltage applied is $$E = {E_0}\,\sin \,\omega t.$$ The resulting current in the circuit is $$

View Question In a Young's double slit experiment the intensity at a point where the path difference is $${\lambda \over 6}$$ ( $$\la

View Question Two lenses of power $$-15$$ $$D$$ and $$+5$$ $$D$$ are in contact with each other. The focal length of the combination i

View Question If $${M_O}$$ is the mass of an oxygen isotope $${}_8{O^{17}}$$ , $${M_p}$$ and $${M_N}$$ are the masses of a proton and

View Question Photon of frequency $$v$$ has a momentum associated with it. If $$c$$ is the velocity of light, the momentum is

View Question Carbon, silicon and germanium have four valence electrons each. At room temperature which one of the following statement

View Question Which of the following transitions in hydrogen atoms emit photons of highest frequency ?

View Question If in a $$p$$-$$n$$ junction diode, a square input signal of $$10$$ $$V$$ is applied as shown
Then the output signal a

View Question