List of top Questions asked in AIEEE

The trigonometric equation $sin^{-1} x = 2\, sin^{-1}$ a, has a solution for
Let f (x) be a polynomial function of second degree. If $f (1) = f (- 1)$ and $a, b, c$ are in $A. P.,$ then $f' (a), f' (b)$ and $f' (c)$ are in
The sum of the series $\frac{1}{1\cdot2}-\frac{1}{2\cdot3}+\frac{1}{3\cdot4}-...... $ upto $8$ is equal to
If $\begin{vmatrix}a&a^{2}&1+a^{3}\\ b&b^{2}&1+b^{3}\\ c&c^{2}&1+c^{3}\end{vmatrix}=0 $ and vectors $(1, a, a^2) (1, b, b^2)$ and $(1, c, c^2)$ are non-coplanar, then the product abc equals
If $z$ and $?$ are two non-zero complex numbers such that $|z?| = 1$, and Arg $(z)$ - Arg $\left(\omega\right)=\frac{\pi}{2},$ then $\bar{z}\omega$ is equal to
A tetrahedron has vertices at $ O (0, 0, 0), A(1, 2, 1) B(2, 1, 3 )$ and $C(-1, 1, 2)$. Then the angle between the faces OAB and ABC will be
Ethyl isocyanide on hydrolysis in acidic medium generates
Bottles containing $ {C6H5I}$ and $ {C6H5CH2I}$ lost their original labels. They were labelled A and B for testing. A and B were separately taken in test tubes and boiled with $ {NaOH }$ solution. The end solution in each tube was made acidic with dilute $ {HNO3}$ and then some $ {AgNO3}$ solution was added. Substance B gave a yellow precipitate. Which one of the following statements is true for this experiment ?
When rain is accompanied by a thunderstorm, the collected rain water will have a pH value
Several blocks of magnesium are fixed to the bottom of a ship to
According to the kinetic theory of gases, in an ideal gas, between two successive collisions, a gas molecule travels
The atomic number of V, Cr, Mn and Fe are respectively 23, 24, 25 and 26.Which one of these may be expected to have the highest second ionisation enthalpy ?
For making good quality mirrors, plates of float glass are used. These are obtained by floating molten glass over a liquid metal which does not solidify before glass. The metal used can be
A particle performing uniform circular motion has angular momentum $L$. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is
A marble block of mass $2 \,kg$ lying on ice when given a velocity of $6\, m/s$ is stopped by friction in $10\, s$. then the coefficient of friction is
A horizontal force of $10\, N$ is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is $0.2$. The weight of the block is
The co-ordinates of a moving particle at any time $'t'$ are given by $x = \alpha t^3$ and $y = \beta t^3$. The speed to the particle at time $'t'$ is given by
Which of the following radiations has the least wavelength?
Two spherical bodies of mass $'m'$ and $5M$ and radii $R$ and $2R$ respectively are released in free space with initial separation between their centres equal to $12\,R$. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is
Dimensions of $\frac{1}{\mu_{0}\,\varepsilon_{0}},$ where symbols have their usual meaning, are
Consider telecommunication through optical fibres. Which of the following statements is not true?
A strip of copper and another germanium are cooled from room temperature to $80\, K$. The resistance of
In an oscillating LC circuit the maximum charge on the capacitor is The charge on the capacitor when the energy is stored equally between the electric and magnetic field is
A tuning fork of known frequency $256\, Hz$ makes $5$ beats per second with the vibrating string of a piano. The beat frequency decreases to $2$ beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was
The solubilities of carbonates decrease down the magnesium group due to a decrease in :