AIEEE 2002

Aluminium is extracted by the electrolysis of

The metal extracted by leaching with a cyanide is

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

In case of nitrogen, NCl3 is possible but not NCl5 while in case of phosphorous, PCl3 as well as
PCl5 are possible. It is due to :

In XeF2, XeF4, XeF6 the number of lone pairs of Xe are respectively :

When H2S is passed through Hg2S we get :

Number of sigma bonds in P4O10 is :

\(C{e^{ + 3}},\,\,L{a^{ + 3}},\,\,P{m^{ + 3}}\,\,\) and \(Y{b^{ + 3}}\,\,\) have ionic radial in the increasing order as

The correct order of ionic radius is

Polymer formation from monomers starts by

Which of the following is a redox reaction ?

A metal M readily forms its sulphate MSO4, which is water-soluble. It forms its oxide MO which becomes inert on heating. It forms an insoluble hydroxide M(OH)2 which is soluble in NaOH solution. The M is :

KO2 (potassium super oxide) is used in oxygen cylinders in space and submarines because it :

The metallic sodium disolves in liquid ammonia to form a deep blue coloured solution. The deep blue colour is due to formation of :

Na and Mg crystallize in BCC and FCC type crystals respectively, then the number of atoms of
Na and Mg present in the unit cell of their respective crystal is :

Freezing point of an aqueous solution is (-0.186)oC. Elevation of boiling point of the same solution is Kb = 0.512 oC, Kf = 1.86 oC, find the increase in boiling point.

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

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 weight of the compound is 108 g mol-1 . Molecular formula of compound is

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

Uncertainty in position of a minute particle of mass 25 g in space is 10-5 m. What is the uncertainty in its velocity (in ms-1) (h = 6.6 \(\times\) 10-34 Js)

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

The formation of gas at the surface of tungsten due to adsorption is the reaction of order :

Alum helps in purifying water by :

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

A heat engine absorbs heat Q1 at temperature T1 and heat Q2 at temperature T2. Work done by the engine is J (Q1 + Q2). This data :

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

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

The \(d.r.\) of normal to the plane through \((1, 0, 0), (0, 1, 0)\) which makes an angle \(\pi /4\) with plane \(x+y=3\) are :

A plane which passes through the point \((3,2,0)\) and the line
\({{x - 4} \over 1} = {{y - 7} \over 5} = {{z - 4} \over 4}\) is :

If \(2a+3b+6c=0,\) \(\left( {a,b,c \in R} \right)\) then the quadratic equation \(a{x^2} + bx + c = 0\) has

The maximum distance from origin of a point on the curve
\(x = a\sin t - b\sin \left( {{{at} \over b}} \right)\)
\(y = a\cos t - b\cos \left( {{{at} \over b}} \right),\) both \(a,b > 0\) is

The area bounded by the curves \(y = \ln x,y = \ln \left| x \right|,y = \left| {\ln {\mkern 1mu} x} \right|\) and \(y = \left| {\ln \left| x \right|} \right|\) is :

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

\(r\) and \(n\) are positive integers \(\,r > 1,\,n > 2\) and coefficient of \(\,{\left( {r + 2} \right)^{th}}\) term and \(3{r^{th}}\) term in the expansion of \({\left( {1 + x} \right)^{2n}}\) are equal, then \(n\) equals

If the sum of the coefficients in the expansion of \(\,{\left( {a + b} \right)^n}\) is 4096, then the greatest coefficient in the expansion is

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

The centres of a set of circles, each of radius 3, lie on the circle \({x^2}\, + \,{y^2} = 25\). The locus of any point in the set is :

If the chord y = mx + 1 of the circle \({x^2}\, + \,{y^2} = 1\) subtends an angle of measure \({45^ \circ }\) at the major segment of the circle then value of m is :

The centre of the circle passing through (0, 0) and (1, 0) and touching the circle \({x^2}\, + \,{y^2} = 9\) is :

The equation of a circle with origin as a center and passing through an equilateral triangle whose median is of length \(3\)\(a\) is :

z and w are two nonzero complex numbers such that \(\,\left| z \right| = \left| w \right|\) and Arg z + Arg w =\(\pi\) then z equals

If \(\left| {z - 4} \right| < \left| {z - 2} \right|\), its solution is given by :

The locus of the centre of a circle which touches the circle \(\left| {z - {z_1}} \right| = a\) and\(\left| {z - {z_2}} \right| = b\,\) externally
(\(z,\,{z_1}\,\& \,{z_2}\,\) are complex numbers) will be :

\(\mathop {\lim }\limits_{n \to \infty } {{{1^p} + {2^p} + {3^p} + ..... + {n^p}} \over {{n^{p + 1}}}}\) is

\(\int\limits_0^2 {\left[ {{x^2}} \right]dx}\) is

If \(y=f(x)\) makes +\(ve\) intercept of \(2\) and \(0\) unit on \(x\) and \(y\) axes and encloses an area of \(3/4\) square unit with the axes then \(\int\limits_0^2 {xf'\left( x \right)dx}\) is

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

\(\int\limits_0^{10\pi } {\left| {\sin x} \right|dx}\) is

\({I_n} = \int\limits_0^{\pi /4} {{{\tan }^n}x\,dx}\) then \(\,\mathop {\lim }\limits_{n \to \infty } \,n\left[ {{I_n} + {I_{n + 2}}} \right]\) equals