List of top Questions asked in AIEEE

A vessel at 1000 K contains $CO_2$ with a pressure of 0.5 atm. Some of the $CO_2$ is converted into CO on the addition of graphite. It the total pressure at equilibrium is 0.8 atm, the value of K is

An acid HA ionises as $HA {\rightleftharpoons} H^{+} + A^{-}$ The pH of 1.0 M solution is 5. Its dissociation constant would be:

A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is $v$, the total area around the fountain that gets wet is

A particle of mass $m$ is projected with a velocity $\upsilon$ making an angle of 30$^{\circ}$ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height $h$ is :

Identify the incorrect statement from the following:

Water is flowing continuously from a tap having an internal diameter $8 \times 10^{-3} m$. The water velocity as it leaves the tap is $0.4 ms ^{-1}$. The diameter of the water stream at a distance $2 \times 10^{-1} m$ below the tap is close to

The reduction potential of hydrogen half-cell will be negative if :

Which of the following statements regarding sulphur is incorrect?

When monochromatic red light is used instead of blue light in a convex lens, its focal length will :

Two particles of equal mass $'m'$ go around a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each partial with respect to their centre of mass is :

Three perfect gases at absolute temperatures $T_{1}, T_{2}$ and $T_{3}$ are mixed. The masses of molecules are $m_{1}$, $m_{2}$ and $m_{3}$ and the number of molecules are $n_{1}, n_{2}$ and $n_{3}$ respectively. Assuming no loss of energy, the final temperature of the mixture is

Thermosetting polymer, Bakelite is formed by the reaction of phenol with :

The products obtained on heating $LiNO_3$ will be :

The possible values of $\theta \in \left(0, \pi\right)$ such that sin($\theta $) + $sin(4\,\theta $) + $sin(7\,\theta ) = 0$ are :

The minimum force required to start pushing a body up a rough (frictional coefficient $\mu$) inclined plane is $F_1$ while the minimum force needed to prevent it from sliding down is $F_2$. If the inclined plane makes an angle $\theta$ from the horizontal such that tan $\theta$ = 2$\mu$ then the ratio $\frac{F_{1}}{F_{2}}$ is :

The mass of potassium dichromate crystals required to oxidise $750\, cm^3$ of 0.6 M Mohr's salt solution is : (Given molar mass potassium dichromate = 294, Mohr's salt = 392)

The current in the primary circuit of a potentiometer is $0.2\, A$. The specific resistance and cross-section of the potentiometer wire are $4 ??10^{-7}$ ohm metre and $8 ??10^{-7} \, m^2$ respectively. The potential gradient will be equal to :

Determinant of a skew-symmetric matrix of order 3 is zero. For any matrix A, det $(A)^T = det(A)$ and $det (-A) = - det(A)$. Where det(B) denotes the determinant of matrix B. Then :

Let $I$ be the purchase value of an equipment and $V(t)$ be the value after it has been used for $t$ years. The value $V(t)$ depreciates at a rate given by differential equation $\frac{d V(t)}{d t}=-k(T-t),$ where $k>0$ is a constant and $T$ is the total life in years of the equipment. Then the scrap value $V(T)$ of the equipment is

Let for $a \ne a_{1} \ne 0$, $f\left(x\right) = ax^{2} + bx + c, g^{9}x) = a_{1}x^{2} + b_{1}x + c_{1}$ and $p\left(x\right) = f\left(x\right) - g\left(x\right)$. If $p\left(x\right) = 0$ only for $x = -1$ and $p\left(-2\right) = 2$, then the value of $p\left(2\right)$ is :

If a ball of steel (density $\rho = 7.8 \,g\, cm ^{-3}$) attains a terminal velocity of $10\, cm \,s^{-1}$ when falling in a water (Coefficient of Viscosity $\eta_{water}$ $= 8.5 \times 10^{-4}\, Pa.s$) then its terminal velocity in glycerine ($\rho = 1.2 \,g \,cm^{-3}, \eta = 13.2 Pa.s.$) would be, nearly :

Copper crystallises in a face centred cubic lattice with a unit cell length of $361\, pm$. What is the radius of copper atom in $pm$ ?

Consider the following reaction: $C_2H_5OH + H_2SO_4 \to$ Product Among the following, which one cannot be formed as a product under any conditions?

Consider the differential equation $y^{2}dx +\left(x-\frac{1}{y}\right) dy = 0$. If $y \left(1\right) = 1$, then x is given by :

Boron cannot form which one of the following anions?