List of top Questions asked in AIEEE

Fire extinguishers contain $H_2SO_4$ and which one of the following?

Extraction of zinc from zinc blende is achieved by

Consider a quadratic equation $ax^2 + bx + c = 0,$ where $2a + 3b + 6c = 0$ and let $g\left(x\right)=a \frac{x^{3}}{3}+b \frac{x^{2}}{2}+cx.$ The quadratic equation has at least one root in the interval $(0,1).$ The Rolle?? theorem is applicable to function $g(x)$ on the interval $[0,1].$

Bakelite is obtained from phenol by reacting it with

Assuming the earth to be a sphere of uniform density, the acceleration due to gravity inside the earth at a distance of $r$ from the centre is proportional to

Assume that a neutron breaks into a proton and an electron. The energy released during this process is : (Mass of neutron $= 1.6725 ??10^{-27}\, kg$, Mass of proton $= 1.6725 ??10^{-27}\, kg$, Mass of electron $= 9 ??10^{-31}\, kg$ )

Aspirin is known as :

An object $2.4\, m$ in front of a lens forms a sharp image on a film $12\, cm$ behind the lens. A glass plate $1\, cm$ thick, of refractive index $1.50$ is interposed between lens and film with its plane faces parallel to film. At what distance (from lens) should object shifted to be in sharp focus on film ?

An insect crawls up a hemispherical surface very slowly. The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle a with the vertical, the maximum possible value of a so that the insect does not slip is given by

Amylopectin is a polymer of

Among the following which is the best description of water in the solid phase?

Among the following species which two have trigonal pyramidal shape? $\left(I\right)NI_{3}\left(II\right)I^{-}_{3}$ $\left(III\right)SO^{2-}_{3}\left(IV\right)NO^{-}_{3}$

According to Freundlich adsorption isotherm which of the following is correct?

A wooden wheel of radius R is made of two semicircular parts (see figure). The two parts are held together by a ring made of a metal strip of cross sectional area S and length L. L is slightly less than 2?R. To fit the ring on the wheel, it is heated so that its temperature rises by ?T and it just steps over the wheel. As it cools down to surroundifng temperature, it presses the semicircular parts together. If the coefficient of linear expansion of the metal is $R$, and its Young's modulus is Y, the force that one part of the wheel applies on the other part is :

A unit vector which is perpendicular to the vector $2\hat{i} - \hat{j} + 2\hat{k}$ and is coplanar with the vectors $\hat{i} + \hat{j} - \hat{k}$ and $2\hat{i} + \hat{j} - 2\hat{k}$ is

A value of $tan^{-1}\left[sin\left(cos^{-1}\left(\sqrt{\frac{2}{3}}\right)\right)\right]$ is

A thin liquid film formed between a U-shaped wire and a light slider supports a weight of $1.5 ??10^{-2}\, N$ (see figure). The length of the slider is $30\, cm$ and its weight negligible. The surface tension of the liquid film is :

The value of the integral $\int\limits^{0.9}_{{0}}[x - 2 [x]] dx ,$ where $[.]$ denotes the greatest integer function is

Let p and q denote the following statements p : The sun is shining q: I shall play tennis in the afternoon The negation of the statement "If the sun is shining then I shall play tennis in the afternoon", is

$\displaystyle \lim_{x\to0} \frac{sin\left(\pi\,cos^{2} x\right)}{x^{2}}$ equals

The equation of the normal to the parabola $x^2=8y$ at $x=4$ is

The middle term in the expansion of $\left(1-\frac{1}{x}\right)^{n} \left(1-x^{n}\right)$ in powers of x is

If the lines $\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k}$ and $\frac{x-1}{k}=\frac{y-4}{2}=\frac{z-5}{1}$ are coplanar, then k can have

A solid has a $'bcc?? structure. If the distance of nearest approach between two atoms is $1.73??, the edge length of the cell is

As per IUPAC nomenclature, the name of the complex $[Co (H_2O )_4(NH_3 )_2]Cl_3$ is