List of top Questions asked in AIEEE- 2002

Number of lone pairs of electrons on Xe atoms in $XeF_2, XeF_4$ and $XeF_6$ molecules are respectively

Most common oxidation states shown by cerium are

In an organic compound of molar mass $108 g$ $mol ^{-1} C , H$ and $N$ atoms are present in 9: 1: 3.5 by weight. Molecular formula can be :

If the vectors $\vec{ a }=x \hat{ i }+y \hat{ j }+z \hat{ k }$ and such that $\vec{ a }, \vec{ c }$ and $\vec{ b }$ form a right handed system, then $\vec{ c }$ is :

Identify the pair whose dimensions are equal:

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

At what temperature is the rms velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^\circ$C ?

An astronomical telescope has a large aperture to :

Alum helps in purifying water by

Number of electrons transferred in each case when $KMnO_4$ acts as an oxidising agent to give $MnO_2,Mn^{2+},Mn(OH)_3$ and $MnO^{2-}_4$ are repectively

The charge/size ratio of a cation determines its polarizing power. Which one of the following sequences represents the increasing order of the polarizing power of the cationic species, $K^+, Ca^{2+}, Mg^{2+}, Be^{2+}$

A gaseous mixture consists of 16 g of helium and 16 g of oxygen. The ratio $Cp/Cv$ of the mixture is

The direction ratios of a normal to the plane through $ (1, 0, 0), (0, 1, 0)$ which makes angles of $\frac{\pi}{4}$ with the plane $x + y = 3$ are

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

If the sum of the coefficients in the expansion of $(a + b)^n$ is 4096, then the greatest coefficient in the expansion is

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

$\displaystyle\lim_{x \to 0} \frac{ \sqrt{1 -\cos \, 2x}}{\sqrt{2} x}$ is

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

The coefficients of $x^p$ and $x^q$ (p and q are positive integers) in the expansion of $(1+ x )^{p+q}$ are

A biased coin with probability p, $0

From a building two balls $A$ and $B$ are thrown such that $A$ is thrown upwards and $B$ downwards (both vertically). If $v_{A}$ and $v_{B}$ are their respective velocities on reaching the ground, then :

If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero, then the satellite will :

A light string passing over a smooth light pulley connects two blocks of masses $m_{1}$ and $m_{2}$ (vertically). If the acceleration of the system is $g / 8$, then the ratio of the masses is :

A ball whose kinetic energy is $E$, is projected at an angle of $45^{\circ}$ to the horizontal. The kinetic energy of the ball at the highest point of its flight will be :

$1$ mole of a gas with $\gamma = \frac{7}{5}$ is mixed with $1$ mole of gas with $\gamma = \frac{5}{3}$, the value of $\gamma$ of the resulting mixture of