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AIEEE 2002

Exam Held on Sat Apr 27 2002 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

With increase of temperature, which of these changes?
In a compound C, H and N atoms are present in 9 : 1 : 3.5 by weight . Molecular ...
Number of atoms in 558.5 gram Fe (at. wt. of Fe = 55.85 g mol<sup>-1</sup>) is
In a hydrogen atom, if energy of an electron in ground state is -13.6 eV, then t...
Uncertainty in position of a minute particle of mass 25 g in space is 10<sup>-5<...
In which of the following species the interatomic bond angle is 109<sup>o</sup>2...
Hybridisation of underline atom changes in
Which of the following are arranged in an increasing order of their bond strengt...
For an ideal gas, number of moles per litre in terms of its pressure P, gas cons...
Value of gas constant R is
Kinetic theory of gases proves
If an endothermic reaction is non-spontaneous at freezing point of water and bec...
For the reactions<br> 2C + O<sub>2</sub> $$\to$$ 2CO<sub>2</sub>; $$\Delta H$$ =...
The heat required to raise the temperature of body by 1 K is called
A heat engine absorbs heat Q<sub>1</sub> at temperature T<sub>1</sub> and heat Q...
1 M NaCL and 1 M HCL are present in an aqueous solution. The solution is
Species acting as both Bronsted acid and base is
Let the solubility of an aqueous solution of Mg(OH)<sub>2</sub> be x then its K<...
Change in volume of the system does not alter which of the following equilibria?...
For the reaction CO (g) + (1/2) O<sub>2</sub> (g) $$\leftrightharpoons$$ CO<sub>...
KO<sub>2</sub> (potassium super oxide) is used in oxygen cylinders in space and ...
The metallic sodium disolves in liquid ammonia to form a deep blue coloured solu...
A metal M readily forms its sulphate MSO<sub>4</sub>, which is water-soluble. It...
Which of the following does not show geometrical isomerism?
A similarity between optical and geometrical isomerism is that
The functional group, which is found in amino acid is
Arrangement of (CH<sub>3</sub>)<sub>3</sub>C-, (CH<sub>3</sub>)<sub>2</sub>CH-, ...
Racemic mixture is formed by mixing two
The reaction :<br> $${(CH)_3}C - Br\buildrel {{H_2}O} \over \longrightarrow {(C...
In which of the following species is the underlined carbon having sp<sup>3</sup>...
What is the product when acetylene reacts with hypochlorous acid ?
Which of these will not react with acetylene ?
Na and Mg crystallize in BCC and FCC type crystals respectively, then the number...
The formation of gas at the surface of tungsten due to adsorption is the reactio...
In mixture A and B component show -ve deviation as
Freezing point of an aqueous solution is (-0.186)<sup>o</sup>C. Elevation of boi...
Conductivity (unit Siemen’s S) is directly proportional to area of the vessel an...
For the following cell with hydrogen electrodes at two different pressure p<sub>...
EMF of a cell in terms of reduction potential of its left and right electrodes i...
Which of the following reaction is possible at anode?
When the sample of copper with zinc impurity is to be purified by electrolysis, ...
Which of the following is a redox reaction ?
Units of rate constant of first and zero order reactions in terms of molarity M ...
For the reaction A + 2B $$\to$$ C, rate is given by R = [A] [B]<sup>2</sup> then...
The differential rate law for the reaction H<sub>2</sub> + I<sub>2</sub> $$\to$$...
If half-life of a substance is 5 yrs, then the total amount of substance left af...
The integrated rate equation is Rt = log C<sub>0</sub> - log C<sub>t</sub> . The...
$$\beta$$ - particle is emitted in radioactivity by
Aluminium is extracted by the electrolysis of
The metal extracted by leaching with a cyanide is
Alum helps in purifying water by
In XeF<sub>2</sub>, XeF<sub>4</sub>, XeF<sub>6</sub> the number of lone pairs of...
Which of the following statements is true ?
Number of sigma bonds in P<sub>4</sub>O<sub>10</sub> is
In case of nitrogen, NCl<sub>3</sub> is possible but not NCl5 while in case of p...
Oxidation number of Cl in CaOCl<sub>2</sub> (bleaching powder) is
When KMnO<sub>4</sub> acts as an oxidising agent and ultimately forms [MnO<sub>4...
Most common oxidation states of Ce (cerium) are
Which of the following ions has the maximum magnetic moment ?
A square planar complex is formed by hybridisation of which atomic orbitals ?
The most stable ion is
CH<sub>3</sub> - Mg - Br is an organometallic compound due to
<img class="question-image" src="https://imagex.cdn.examgoal.net/gfrjlAWZWcYCNNL...
When primary amine reacts with chloroform in ethanoic KOH then the product is
Polymer formation from monomers starts by
RNA is different from DNA because RNA contains
How do we differentiate between Fe<sup>3+</sup> and Cr<sup>3+</sup> in group III...
When H<sub>2</sub>S is passed through Hg<sub>2</sub>S we get
Which of the following compounds has wrong $$IUPAC$$ name ?
Following types of compounds (as $$I, II$$ ) <br><br><img class="question-image"...
The correct order of ionic radius is
$$C{e^{ + 3}},\,\,L{a^{ + 3}},\,\,P{m^{ + 3}}\,\,$$ and $$Y{b^{ + 3}}\,\,$$ ha...
<img class="question-image" src="https://imagex.cdn.examgoal.net/kAfpR9KghkRh5XB...
Picric acid is :
The compound <br><br><img class="question-image" src="https://imagex.cdn.examgo...
The type isomerism present in nitropentammine chromium $$\left( {{\rm I}{\rm I}{...

Mathematics

The period of $${\sin ^2}\theta $$ is
The number of solution of $$\tan \,x + \sec \,x = 2\cos \,x$$ in $$\left[ {0,\,2...
Which one is not periodic
z and w are two nonzero complex numbers such that $$\,\left| z \right| = \left| ...
If $$\left| {z - 4} \right| &lt; \left| {z - 2} \right|$$, its solution is given...
The locus of the centre of a circle which touches the circle $$\left| {z - {z_1}...
If $$\alpha \ne \beta $$ but $${\alpha ^2} = 5\alpha - 3$$ and $${\beta ^2} = ...
Product of real roots of equation $${t^2}{x^2} + \left| x \right| + 9 = 0$$
Difference between the corresponding roots of $${x^2} + ax + b = 0$$ and $${x^2}...
If $$p$$ and $$q$$ are the roots of the equation $${x^2} + px + q = 0,$$ then
If $$a,\,b,\,c$$ are distinct $$ + ve$$ real numbers and $${a^2} + {b^2} + {c^2}...
$$r$$ and $$n$$ are positive integers $$\,r &gt; 1,\,n &gt; 2$$ and coefficient ...
The coefficients of $${x^p}$$ and $${x^q}$$ in the expansion of $${\left( {1 + x...
The positive integer just greater than $${\left( {1 + 0.0001} \right)^{10000}}$$...
If the sum of the coefficients in the expansion of $$\,{\left( {a + b} \right)^n...
Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7...
Number greater than 1000 but less than 4000 is formed using the digits 0, 1, 2, ...
Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4 and 5 without rep...
If $${a_n} = \sqrt {7 + \sqrt {7 + \sqrt {7 + .......} } } $$ having $$n$$ radi...
The sum of integers from 1 to 100 that are divisible by 2 or 5 is
If 1, $${\log _9}\,\,({3^{1 - x}} + 2),\,\,{\log _3}\,\,({4.3^x} - 1)$$ are in A...
l, m, n are the $${p^{th}}$$, $${q^{th}}$$ and $${r^{th}}$$ term of a G.P all po...
The value of $$\,{2^{1/4}}.\,\,{4^{1/8}}.\,{8^{1/16}}...\infty $$ is
Fifth term of a GP is 2, then the product of its 9 terms is
Sum of infinite number of terms of GP is 20 and sum of their square is 100. The ...
$${1^3} - \,\,{2^3} + {3^3} - {4^3} + ... + {9^3} = $$
If the chord y = mx + 1 of the circle $${x^2}\, + \,{y^2} = 1$$ subtends an angl...
The centre of the circle passing through (0, 0) and (1, 0) and touching the circ...
The equation of a circle with origin as a center and passing thorough equilatera...
The centres of a set of circles, each of radius 3, lie on the circle $${x^2}\, +...
Two common tangents to the circle $${x^2} + {y^2} = 2{a^2}$$ and parabola $${y^2...
If $$y = {\left( {x + \sqrt {1 + {x^2}} } \right)^n},$$ then $$\left( {1 + {x^2}...
The sides of a triangle are $$3x + 4y,$$ $$4x + 3y$$ and $$5x + 5y$$ where $$x$$...
In a triangle with sides $$a, b, c,$$ $${r_1} &gt; {r_2} &gt; {r_3}$$ (which are...
$${\cot ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) - {\tan ^{ - 1}}\left( {\...
The maximum distance from origin of a point on the curve <br>$$x = a\sin t - b\...
If $$2a+3b+6c=0,$$ $$\left( {a,b,c \in R} \right)$$ then the quadratic equation ...
If $$a&gt;0$$ and discriminant of $$\,a{x^2} + 2bx + c$$ is $$-ve$$, then <br>$$...
$$\int_0^{10\pi } {\left| {\sin x} \right|dx} $$ is
$${I_n} = \int\limits_0^{\pi /4} {{{\tan }^n}x\,dx} $$ then $$\,\mathop {\lim }\...
$$\int\limits_0^2 {\left[ {{x^2}} \right]dx} $$ is
$$\int_{ - \pi }^\pi {{{2x\left( {1 + \sin x} \right)} \over {1 + {{\cos }^2}x}...
If $$y=f(x)$$ makes +$$ve$$ intercept of $$2$$ and $$0$$ unit on $$x$$ and $$y$$...
The area bounded by the curves $$y = \ln x,y = \ln \left| x \right|,y = \left| {...
The order and degree of the differential equation <br>$$\,{\left( {1 + 3{{dy} \...
The solution of the equation $$\,{{{d^2}y} \over {d{x^2}}} = {e^{ - 2x}}$$
$$A$$ and $$B$$ are events such that $$P\left( {A \cup B} \right) = 3/4$$,$$P\le...
A dice is tossed $$5$$ times. Getting an odd number is considered a success. The...
A problem in mathematics is given to three students $$A,B,C$$ and their respecti...
A plane which passes through the point $$(3,2,0)$$ and the line <br>$${{x - 4} ...
If $$\left| {\overrightarrow a } \right| = 4,\left| {\overrightarrow b } \right|...
If $$\overrightarrow a \,\,,\,\,\overrightarrow b \,\,,\,\,\overrightarrow c $$ ...
If $$\overrightarrow a \,,\overrightarrow b \,,\overrightarrow c $$ are vectors ...
If $$\left| {\overrightarrow a } \right| = 5,\left| {\overrightarrow b } \right|...
$$\overrightarrow a = 3\widehat i - 5\widehat j$$ and $$\overrightarrow b = 6\...
If the vectors $$\overrightarrow c ,\overrightarrow a = x\widehat i + y\widehat...
The $$d.r.$$ of normal to the plane through $$(1, 0, 0), (0, 1, 0)$$ which makes...
If $$\overrightarrow a \times \overrightarrow b = \overrightarrow b \times \o...
In a class of 100 students there are 70 boys whose average marks in a subject ar...
$$\mathop {\lim }\limits_{x \to 0} {{\sqrt {1 - \cos 2x} } \over {\sqrt 2 x}}$$ ...
The domain of $${\sin ^{ - 1}}\left[ {{{\log }_3}\left( {{x \over 3}} \right)} \...
$$\mathop {\lim }\limits_{x \to \infty } {\left( {{{{x^2} + 5x + 3} \over {{x^2}...
$$\mathop {\lim }\limits_{n \to \infty } {{{1^p} + {2^p} + {3^p} + ..... + {n^p}...
Let $$f(2) = 4$$ and $$f'(x) = 4.$$ <br><br>Then $$\mathop {\lim }\limits_{x \to...
$$\mathop {\lim }\limits_{x \to 0} {{\log {x^n} - \left[ x \right]} \over {\left...
If $$f\left( 1 \right) = 1,{f^1}\left( 1 \right) = 2,$$ then <br>$$\mathop {\lim...
$$f$$ is defined in $$\left[ { - 5,5} \right]$$ as <br><br>$$f\left( x \right) =...
f(x) and g(x) are two differentiable functions on [0, 2] such that <br><br>f''(x...
If f(x + y) = f(x).f(y) $$\forall $$ x, y and f(5) = 2, f'(0) = 3, then <br>f'(5...
A triangle with vertices $$\left( {4,0} \right),\left( { - 1, - 1} \right),\left...
Locus of mid point of the portion between the axes of <br><br>$$x$$ $$cos$$ $$\...
If the pair of lines <br><br>$$a{x^2} + 2hxy + b{y^2} + 2gx + 2fy + c = 0$$ <br...
The pair of lines represented by $$$3a{x^2} + 5xy + \left( {{a^2} - 2} \right){...

Physics

Identify the pair whose dimensions are equal
A ball whose kinetic energy E, is projected at an angle of $$45^\circ $$ to the ...
From a building two balls A and B are thrown such that A is thrown upwards and ...
If a body looses half of its velocity on penetrating $$3$$ $$cm$$ in a wooden bl...
A lift is moving down with acceleration $$a.$$ A man in the lift drops a ball in...
When forces $${F_1},\,\,{F_2},\,\,{F_3}$$ are acting on a particle of mass $$m$$...
Two forces are such that the sum of their magnitudes is $$18$$ $$N$$ and their r...
A light string passing over a smooth light pulley connects two blocks of masses ...
Speeds of two identical cars are $$u $$ and $$4$$$$u $$ at the specific instant....
Three identical blocks of masses $$m=2$$ $$kg$$ are drawn by a force $$F=10.2$$ ...
A cylinder of height $$20$$ $$m$$ is completely filled with water. The velocity ...
Initial angular velocity of a circular disc of mass $$M$$ is $${\omega _1}.$$ Th...
The minimum velocity (in $$m{s^{ - 1}}$$) with which a car driver must traverse ...
A solid sphere, a hollow sphere and a ring are released from top of an inclined ...
A particle of mass $$m$$ moves along line PC with velocity $$v$$ as shown. What ...
Two identical particles move towards each other with velocity $$2v$$ and $$v$$ r...
The kinetic energy needed to project a body of mass $$m$$ from the earth surface...
If suddenly the gravitational force of attraction between Earth and a satellite ...
The escape velocity of a body depends upon mass as
Energy required to move a body of mass $$m$$ from an orbit of radius $$2R$$ to $...
A spring of force constant $$800$$ $$N/m$$ has an extension of $$5$$ $$cm.$$ The...
One end of a mass-less rope, which passes over a mass-less and friction-less pul...
Which statement is incorrect?
Infrared radiation is detected by
Heat given to a body which raises its temperature by $${1^ \circ }C$$ is
Which of the following is more close to a black body?
If mass-energy equivalence is taken into account, when water is cooled to form i...
Cooking gas containers are kept in a lorry moving with uniform speed. The temper...
Even Carnot engine cannot give $$100\% $$ efficiency because we cannot
At what temperature is the $$r.m.s$$ velocity of a hydrogen molecule equal to th...
1 mole of a gas with $$\gamma = 7/5$$ is mixed with $$1$$ mole of a gas with $$...
Two spheres of the same material have radii $$1$$ $$m$$ and $$4$$ $$m$$ and temp...
Moment of inertia of a circular wire of mass $$M$$ and radius $$R$$ about its di...
If a spring has time period $$T,$$ and is cut into $$n$$ equal parts, then the t...
In a simple harmonic oscillator, at the mean position
A child swinging on a swing in sitting position, stands up, then the time period...
length of a string tied to two rigid supports is $$40$$ $$cm$$. Maximum length (...
A tuning fork arrangement (pair) produces $$4$$ beats/sec with one fork of frequ...
Tube $$A$$ has bolt ends open while tube $$B$$ has one end closed, otherwise the...
A wave $$y=a$$ $$\sin \left( {\omega t - kx} \right)$$ on a string meets with an...
When temperature increases, the frequency of a tuning fork
On moving a charge of $$20$$ coulomb by $$2$$ $$cm,$$ $$2$$ $$J$$ of work is don...
If there are $$n$$ capacitors in parallel connected to $$V$$ volt source, then t...
A charged particle $$q$$ is placed at the centre $$O$$ of cube of length $$L(ABC...
If a charge $$q$$ is placed at the center of the line joining two equal charges ...
Capacitance (in $$F$$) of a spherical conductor with radius $$1$$ $$m$$ is
If an ammeter is to be used in place of a voltmeter, then we must connect with t...
A wire when connected to $$220$$ $$V$$ mains supply has power dissipation $${P_1...
If in the circuit, power dissipation is $$150W,$$ then $$R$$ is <img class="que...
If a current is passed through a spring then the spring will
The mass of product liberated on anode in an electrochemical cell depends on (w...
If $${\theta _1},$$ is the inversion temperature, $${\theta _n}$$ is the neutral...
If an electron and a proton having same momentum enter perpendicular to a magnet...
If in a circular coil $$A$$ of radius $$R,$$ current $$I$$ is flowing and in ano...
The time period of a charged particle undergoing a circular motion in a uniform ...
Wires $$1$$ and $$2$$ carrying currents $$i{}_1$$ and $$i{}_2$$ respectively are...
The power factor of $$AC$$ circuit having resistance $$(R)$$ and inductance $$(L...
In a transformer, number of turns in the primary coil are $$140$$ and that in th...
An astronomical telescope has a large aperture to
Electromagnetic waves are transverse in nature is evident by
If two mirrors are kept at $${60^ \circ }$$ to each other, then the number of im...
Wavelength of light used in an optical instrument are $${\lambda _1} = 4000\mat...
which of the following is used in optical fibres?
A conducting square loop of side $$L$$ and resistance $$R$$ moves in its plane w...
The inductance between $$A$$ and $$D$$ is <img class="question-image" src="http...
If $$13.6$$ $$eV$$ energy is required to ionize the hydrogen atom, then the ener...
At absolute zero, Si acts as
Sodium and copper have work functions $$2.3$$ $$eV$$ and $$4.5$$ $$eV$$ respecti...
At a specific instant emission of radioactive compound is deflected in a magneti...
Formation of covalent bonds in compounds exhibits
If $${N_0}$$ is the original mass of the substance of half-life period $${t_{1/2...
By increasing the temperature, the specific resistance of a conductor and a semi...
The energy band gap is maximum in
The part of a transistor which is most heavily doped to produce large number of ...
Which of the following are not electromagnetic waves?

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