List of top Questions asked in AIEEE

One end of massless rope, which passes over a massless and frictionless pulley $P$ is tied to a hook while the other is free. Maximum tension the rope bear is $360 \,N$. With what value of maximum safe acceleration (in $ms ^{-2}$ ) can a man of $60\, kg$ climb on the rope ?

Length of a string tied to two rigid supports is $40 cm .$ Maximum length (wavelength in $cm$ ) of a stationary wave produced on it, is :

Number of atoms in the unit cell of $Na ( BCC$ type crystal) and Mg (FCC type crystal) are respectively :

Which of the following statement is true ?

When temperature increases, the frequency of a tuning fork :

$ SN^1$ reaction is feasible in :

Racemic mixture is formed by mixing two :

$pH$ of $0.005 M$ calcium acetate $\left( p K_{a}\right.$ of $CH _{3} COOH =4.74$ ) is :

Oxidation number of $Cl$ in $CaOCl _{2}$ (bleaching powder) is :

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