AIEEE 2002

Paper was held on
Sat, Apr 27, 2002 9:30 AM

## Chemistry

With increase of temperature, which of these changes?

View Question In a compound C, H and N atoms are present in 9 : 1 : 3.5 by weight . Molecular weight of the compound is 108 g mol-1 .

View Question Number of atoms in 558.5 gram Fe (at. wt. of Fe = 55.85 g mol-1) is

View Question In a hydrogen atom, if energy of an electron in ground state is -13.6 eV, then that in the 2nd excited state is

View Question Uncertainty in position of a minute particle of mass 25 g in space is 10-5 m. What is the uncertainty in its velocity (i

View Question In which of the following species the interatomic bond angle is 109o28' ?

View Question Hybridisation of underline atom changes in

View Question Which of the following are arranged in an increasing order of their bond strengths?

View Question If an endothermic reaction is non-spontaneous at freezing point of water and becomes feasible at its boiling point, then

View Question For the reactions
2C + O2 $$\to$$ 2CO2; $$\Delta H$$ = -393 J
2Zn + O2 $$\to$$ 2ZnO; $$\Delta H$$ = -412 J

View Question The heat required to raise the temperature of body by 1 K is called :

View Question A heat engine absorbs heat Q1 at temperature T1 and heat Q2 at temperature T2. Work done by the engine is J (Q1 + Q2). T

View Question 1 M NaCL and 1 M HCL are present in an aqueous solution. The solution is

View Question Species acting as both Bronsted acid and base is :

View Question Let the solubility of an aqueous solution of Mg(OH)2 be x then its Ksp is :

View Question Change in volume of the system does not alter which of the following equilibria?

View Question For the reaction CO (g) + (1/2) O2 (g) $$\leftrightharpoons$$ CO2 (g), Kp/Kc is :

View Question Which of the following does not show geometrical isomerism?

View Question A similarity between optical and geometrical isomerism is that

View Question The functional group, which is found in amino acid is

View Question Arrangement of (CH3)3C-, (CH3)2CH-, CH3-CH2- when attached to benzyl or an unsaturated group in increasing order of indu

View Question Racemic mixture is formed by mixing two

View Question The reaction :
$${(CH)_3}C - Br\buildrel {{H_2}O} \over
\longrightarrow {(CH)_3}C - OH$$

View Question In which of the following species is the underlined carbon having sp3 hybridisation?

View Question What is the product when acetylene reacts with hypochlorous acid ?

View Question Which of these will not react with acetylene ?

View Question In a mixture of A and B, components show negative deviation when :

View Question Freezing point of an aqueous solution is (-0.186)oC. Elevation of boiling point of the same solution is Kb = 0.512 oC, K

View Question Conductivity (Seimen’s S) is directly proportional to area of the vessel and the concentration
of the solution in it and

View Question For the following cell with hydrogen electrodes at two different pressure p1 and p2. What will be the emf for the given

View Question EMF of a cell in terms of reduction potential of its left and right electrodes is :

View Question Which of the following reaction is possible at anode?

View Question When the sample of copper with zinc impurity is to be purified by electrolysis, the appropriate
electrodes are :

View Question Which of the following is a redox reaction ?

View Question Units of rate constant of first and zero order reactions in terms of molarity M unit are respectively

View Question For the reaction A + 2B $$\to$$ C, rate is given by R = [A] [B]2 then the order of the reaction is

View Question The differential rate law for the reaction H2 + I2 $$\to$$ 2HI is

View Question If half-life of a substance is 5 yrs, then the total amount of substance left after 15 years, when initial amount is 64

View Question The integrated rate equation is Rt = log C0 - log Ct . The straight line graph is obtained by
plotting

View Question $$\beta$$ - particle is emitted in radioactivity by

View Question Which of the following statements is true?

View Question Oxidation number of Cl in CaOCl2 (bleaching powder) is :

View Question When KMnO4 acts as an oxidising agent and ultimately forms [MnO4]-2, MnO2, Mn2O3, Mn+2
then the number of electrons tran

View Question Most common oxidation states of Ce (cerium) are :

View Question Which of the following ions has the maximum magnetic moment?

View Question A square planar complex is formed by hybridisation of which atomic orbitals ?

View Question The most stable ion is :

View Question CH3 - Mg - Br is an organometallic compound due to :

View Question
What is B?

View Question When primary amine reacts with chloroform in ethanoic KOH then the product is

View Question RNA is different from DNA because RNA contains

View Question How do we differentiate between Fe3+ and Cr3+ in group III?

View Question Which of the following compounds has wrong $$IUPAC$$ name ?

View Question Following types of compounds (as $$I, II$$ )
are studied in terms of isomerism in :

View Question The correct order of ionic radius is

View Question $$C{e^{ + 3}},\,\,L{a^{ + 3}},\,\,P{m^{ + 3}}\,\,$$ and $$Y{b^{ + 3}}\,\,$$ have ionic radial in the increasing order

View Question Picric acid is :

View Question The type isomerism present in nitropentammine chromium $$\left( {{\rm I}{\rm I}{\rm I}} \right)$$ chloride is :

View Question Acetylene does not react with :

View Question For a cell given below
$$
\begin{aligned}
\mathrm{Ag}^{+}+\mathrm{e}^{-} & \longrightarrow \mathrm{Ag}; E^{\circ}=x

View Question ## Mathematics

The period of $${\sin ^2}\theta $$ is

View Question Which one is not periodic?

View Question z and w are two nonzero complex numbers such that $$\,\left| z \right| = \left| w \right|$$ and Arg z + Arg w =$$\pi $$

View Question If $$\left| {z - 4} \right| < \left| {z - 2} \right|$$, its solution is given by :

View Question The locus of the centre of a circle which touches the circle $$\left| {z - {z_1}} \right| = a$$ and$$\left| {z - {z_2}}

View Question If $$\alpha \ne \beta $$ but $${\alpha ^2} = 5\alpha - 3$$ and $${\beta ^2} = 5\beta - 3$$ then the equation having $

View Question Product of real roots of equation $${t^2}{x^2} + \left| x \right| + 9 = 0$$

View Question Difference between the corresponding roots of $${x^2} + ax + b = 0$$ and $${x^2} + bx + a = 0$$ is same and $$a \ne b,$

View Question If $$p$$ and $$q$$ are the roots of the equation $${x^2} + px + q = 0,$$ then

View Question If $$a,\,b,\,c$$ are distinct $$ + ve$$ real numbers and $${a^2} + {b^2} + {c^2} = 1$$ then $$ab + bc + ca$$ is

View Question The coefficients of $${x^p}$$ and $${x^q}$$ in the expansion of $${\left( {1 + x} \right)^{p + q}}$$ are

View Question The positive integer just greater than $${\left( {1 + 0.0001} \right)^{10000}}$$ is

View Question Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 (using repetition allowed) are :

View Question Number greater than 1000 but less than 4000 is formed using the digits 0, 1, 2, 3, 4 (repetition allowed). Their number

View Question Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4 and 5 without repetition. Total number of such numbers ar

View Question The sum of integers from 1 to 100 that are divisible by 2 or 5 is :

View Question If 1, $${\log _9}\,\,({3^{1 - x}} + 2),\,\,{\log _3}\,\,({4.3^x} - 1)$$ are in A.P. then x equals

View Question l, m, n are the $${p^{th}}$$, $${q^{th}}$$ and $${r^{th}}$$ term of a G.P all positive, $$then\,\left| {\matrix{
{\lo

View Question Fifth term of a GP is 2, then the product of its 9 terms is

View Question Sum of infinite number of terms of GP is 20 and sum of their square is 100. The common ratio of GP is

View Question If the chord y = mx + 1 of the circle $${x^2}\, + \,{y^2} = 1$$ subtends an angle of measure $${45^ \circ }$$ at the maj

View Question The equation of a circle with origin as a center and passing through an equilateral triangle whose median is of length $

View Question If $$y = {\left( {x + \sqrt {1 + {x^2}} } \right)^n},$$ then $$\left( {1 + {x^2}} \right){{{d^2}y} \over {d{x^2}}} + x{{

View Question $${\cot ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) - {\tan ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) = x,$$ the

View Question The maximum distance from origin of a point on the curve
$$x = a\sin t - b\sin \left( {{{at} \over b}} \right)$$
$$y =

View Question If $$a>0$$ and discriminant of $$\,a{x^2} + 2bx + c$$ is $$-ve$$, then
$$\left| {\matrix{
a & b & {ax + b}

View Question $$\int\limits_0^{10\pi } {\left| {\sin x} \right|dx} $$ is

View Question $${I_n} = \int\limits_0^{\pi /4} {{{\tan }^n}x\,dx} $$ then $$\,\mathop {\lim }\limits_{n \to \infty } \,n\left[ {{I_n}

View Question $$\int\limits_0^2 {\left[ {{x^2}} \right]dx} $$ is

View Question $$\int_{ - \pi }^\pi {{{2x\left( {1 + \sin x} \right)} \over {1 + {{\cos }^2}x}}} dx$$ is

View Question If $$y=f(x)$$ makes +$$ve$$ intercept of $$2$$ and $$0$$ unit on $$x$$ and $$y$$ axes and encloses an area of $$3/4$$ sq

View Question The area bounded by the curves $$y = \ln x,y = \ln \left| x \right|,y = \left| {\ln {\mkern 1mu} x} \right|$$ and $$y =

View Question The order and degree of the differential equation
$$\,{\left( {1 + 3{{dy} \over {dx}}} \right)^{2/3}} = 4{{{d^3}y} \ove

View Question The solution of the equation $$\,{{{d^2}y} \over {d{x^2}}} = {e^{ - 2x}}$$

View Question $$A$$ and $$B$$ are events such that $$P\left( {A \cup B} \right) = 3/4$$,$$P\left( {A \cap B} \right) = 1/4,$$
$$P\lef

View Question A problem in mathematics is given to three students $$A,B,C$$ and their respective probability of solving the problem is

View Question If $$\left| {\overrightarrow a } \right| = 4,\left| {\overrightarrow b } \right| = 2$$ and the angle between $${\overrig

View Question If the vectors $\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}$ and $\overrightarrow{\mathbf{c}}$ from the sid

View Question If $$\left| {\overrightarrow a } \right| = 5,\left| {\overrightarrow b } \right| = 4,\left| {\overrightarrow c } \right|

View Question $$\overrightarrow a = 3\widehat i - 5\widehat j$$ and $$\overrightarrow b = 6\widehat i + 3\widehat j$$ are two vector

View Question If the vectors $$\overrightarrow c ,\overrightarrow a = x\widehat i + y\widehat j + z\widehat k$$ and $$\widehat b = \w

View Question In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the comple

View Question $$\mathop {\lim }\limits_{x \to 0} {{\sqrt {1 - \cos 2x} } \over {\sqrt 2 x}}$$ is

View Question The domain of $${\sin ^{ - 1}}\left[ {{{\log }_3}\left( {{x \over 3}} \right)} \right]$$ is

View Question $$\mathop {\lim }\limits_{x \to \infty } {\left( {{{{x^2} + 5x + 3} \over {{x^2} + x + 2}}} \right)^x}$$

View Question Let $$f(2) = 4$$ and $$f'(x) = 4.$$
Then $$\mathop {\lim }\limits_{x \to 2} {{xf\left( 2 \right) - 2f\left( x \right)} \

View Question $$\mathop {\lim }\limits_{x \to 0} {{\log {x^n} - \left[ x \right]} \over {\left[ x \right]}}$$, $$n \in N$$, ( [x] deno

View Question If $$f\left( 1 \right) = 1,{f'}\left( 1 \right) = 2,$$ then
$$\mathop {\lim }\limits_{x \to 1} {{\sqrt {f\left( x \right

View Question $$f$$ is defined in $$\left[ { - 5,5} \right]$$ as
$$f\left( x \right) = x$$ if $$x$$ is rational
$$\,\,\,\,\,\,\,\,\,\,

View Question f(x) and g(x) are two differentiable functions on [0, 2] such that
f''(x) - g''(x) = 0, f'(1) = 2, g'(1) = 4, f(2) = 3,

View Question If f(x + y) = f(x).f(y) $$\forall $$ x, y and f(5) = 2, f'(0) = 3, then
f'(5) is

View Question A triangle with vertices $$\left( {4,0} \right),\left( { - 1, - 1} \right),\left( {3,5} \right)$$ is :

View Question Locus of mid point of the portion between the axes of
$$x$$ $$cos$$ $$\alpha + y\,\sin \alpha = p$$ where $$p$$ is c

View Question ## Physics

Identify the pair whose dimensions are equal

View Question A ball whose kinetic energy E, is projected at an angle of $$45^\circ $$ to the horizontal. The kinetic energy of the ba

View Question From a building two balls A and B are thrown such that A is thrown upwards and B downwards ( both vertically with the s

View Question If a body looses half of its velocity on penetrating $$3$$ $$cm$$ in a wooden block, then how much will it penetrate mor

View Question A lift is moving down with acceleration $$a.$$ A man in the lift drops a ball inside the lift. The acceleration of the b

View Question When forces $${F_1},\,\,{F_2},\,\,{F_3}$$ are acting on a particle of mass $$m$$ such that $${F_2}$$ and $${F_3}$$ are m

View Question Two forces are such that the sum of their magnitudes is $$18$$ $$N$$ and their resultant is $$12$$ $$N$$ which is perpen

View Question A light string passing over a smooth light pulley connects two blocks of masses $${m_1}$$ and $${m_2}$$ (vertically). If

View Question Speeds of two identical cars are $$u $$ and $$4$$$$u $$ at the specific instant. The ratio of the respective distances i

View Question Three identical blocks of masses $$m=2$$ $$kg$$ are drawn by a force $$F=10.2$$ $$N$$ with an acceleration of $$0.6$$ $$

View Question A cylinder of height $$20$$ $$m$$ is completely filled with water. The velocity of efflux of water (in $$m{s^{ - 1}}$$)

View Question Initial angular velocity of a circular disc of mass $$M$$ is $${\omega _1}.$$ Then two small spheres of mass $$m$$ are a

View Question The minimum velocity (in $$m{s^{ - 1}}$$) with which a car driver must traverse a flat curve of radius 150 m and coeffic

View Question A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide

View Question A particle of mass $$m$$ moves along line PC with velocity $$v$$ as shown. What is the angular momentum of the particle

View Question Two identical particles move towards each other with velocity $$2v$$ and $$v$$ respectively. The velocity of center of m

View Question The kinetic energy needed to project a body of mass $$m$$ from the earth surface (radius $$R$$) to infinity is

View Question If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then

View Question The escape velocity of a body depends upon mass as

View Question Energy required to move a body of mass $$m$$ from an orbit of radius $$2R$$ to $$3R$$ is

View Question A spring of force constant $$800$$ $$N/m$$ has an extension of $$5$$ $$cm.$$ The work done in extending it from $$5$$ $$

View Question One end of a mass-less rope, which passes over a mass-less and friction-less pulley $$P$$ is tied to a hook $$C$$ while

View Question Infrared radiation is detected by

View Question Heat given to a body which raises its temperature by $${1^ \circ }C$$ is

View Question Which of the following is more close to a black body?

View Question If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should

View Question Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will

View Question At what temperature is the $$r.m.s$$ velocity of a hydrogen molecule equal to that of an oxygen molecule at $${47^ \circ

View Question 1 mole of a gas with $$\gamma = 7/5$$ is mixed with $$1$$ mole of a gas with $$\gamma = 5/3,$$ then the value of $$\ga

View Question Two spheres of the same material have radii $$1$$ $$m$$ and $$4$$ $$m$$ and temperatures $$4000$$ $$K$$ and $$2000$$ $$K

View Question Moment of inertia of a circular wire of mass $$M$$ and radius $$R$$ about its diameter is

View Question If a spring has time period $$T,$$ and is cut into $$n$$ equal parts, then the time period of each part will be

View Question In a simple harmonic oscillator, at the mean position

View Question A child swinging on a swing in sitting position, stands up, then the time period of the swing will

View Question length of a string tied to two rigid supports is $$40$$ $$cm$$. Maximum length (wavelength in $$cm$$) of a stationary wa

View Question A tuning fork arrangement (pair) produces $$4$$ beats/sec with one fork of frequency $$288$$ $$cps.$$ A little wax is pl

View Question Tube $$A$$ has bolt ends open while tube $$B$$ has one end closed, otherwise they are identical. The ratio of fundamenta

View Question A wave $$y=a$$ $$\sin \left( {\omega t - kx} \right)$$ on a string meets with another wave producing a node at $$x=0.$$

View Question When temperature increases, the frequency of a tuning fork

View Question On moving a charge of $$20$$ coulomb by $$2$$ $$cm,$$ $$2$$ $$J$$ of work is done, then the potential differences betwee

View Question If there are $$n$$ capacitors in parallel connected to $$V$$ volt source, then the energy stored is equal to

View Question A charged particle $$q$$ is placed at the centre $$O$$ of cube of length $$L(ABCDEFGH).$$ Another same charge $$q$$ is p

View Question If a charge $$q$$ is placed at the center of the line joining two equal charges $$Q$$ such that the system is in equilib

View Question Capacitance (in $$F$$) of a spherical conductor with radius $$1$$ $$m$$ is

View Question If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a

View Question A wire when connected to $$220$$ $$V$$ mains supply has power dissipation $${P_1}.$$ Now the wire is cut into two equal

View Question If in the circuit, power dissipation is $$150W,$$ then $$R$$ is

View Question If a current is passed through a spring then the spring will

View Question The mass of product liberated on anode in an electrochemical cell depends on (where $$t$$ is the time period for which

View Question If $${\theta _1},$$ is the inversion temperature, $${\theta _n}$$ is the neutral temperature, $${\theta _c}$$ is the te

View Question If an electron and a proton having same momentum enter perpendicular to a magnetic field, then

View Question If in a circular coil $$A$$ of radius $$R,$$ current $$I$$ is flowing and in another coil $$B$$ of radius $$2R$$ a curr

View Question The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

View Question Wires $$1$$ and $$2$$ carrying currents $$i{}_1$$ and $$i{}_2$$ respectively are inclined at an angle $$\theta $$ to eac

View Question The power factor of $$AC$$ circuit having resistance $$(R)$$ and inductance $$(L)$$ connected in series and an angular v

View Question In a transformer, number of turns in the primary coil are $$140$$ and that in the secondary coil are $$280.$$ If current

View Question An astronomical telescope has a large aperture to

View Question Electromagnetic waves are transverse in nature is evident by

View Question If two mirrors are kept at $${60^ \circ }$$ to each other, then the number of images formed by them is

View Question Wavelength of light used in an optical instrument are $${\lambda _1} = 4000\mathop A\limits^ \circ $$ and $${\lambda _

View Question Which of the following is used in optical fibres?

View Question A conducting square loop of side $$L$$ and resistance $$R$$ moves in its plane with a uniform velocity $$v$$ perpendicul

View Question The inductance between $$A$$ and $$D$$ is

View Question If $$13.6$$ $$eV$$ energy is required to ionize the hydrogen atom, then the energy required to remove an electron from $

View Question At absolute zero, Si acts as

View Question Sodium and copper have work functions $$2.3$$ $$eV$$ and $$4.5$$ $$eV$$ respectively. Then the ratio of the wavelengths

View Question Formation of covalent bonds in compounds exhibits

View Question By increasing the temperature, the specific resistance of a conductor and a semiconductor

View Question The energy band gap is maximum in

View Question Which of the following are not electromagnetic waves?

View Question