List of top Questions asked in AIEEE

If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between $t = 0s$ to $t = \tau s$, then $\tau$ may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity, with 'b' as the constant of proportionality, the averatge life time of the pendulum is (assuming damping is small)

This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. If two springs $S_1$ and $S_2$ of force constants $k_1$ and $k_2$, respectively, are stretched by the same force, it is found that more work is done on spring $S_1$ than on spring $S_2$. If stretched by the same amount, work done on $S_1$, will be more than that on $S_2$ $k_1 < k_2$

For a reaction $A \rightarrow $ Products, a plot of log $t_{1/2}$ versus log $a_0$ is shown in the figure. If the initial concentration of A is represented by $a_0$, the order of the reaction is

An aqueous solution of oxalic acid dihydrate contains its 6.3 g in 250 ml. The volume of 0.1 N NaOH required to completely neutralize 10 ml of this solution

A large number of droplets, each of radius, $r$ coalesce to form a bigger drop of radius, $R$. An engineer designs a machine so that the energy released in this process is converted into the kinetic energy of the drop. Velocity of the drop is ($T=$ surface tension, $\rho=$ density)

Let A and B be real matrices of the form $\begin{bmatrix}\alpha&0\\ 0&\beta\end{bmatrix}$ and $\begin{bmatrix}0&\gamma\\ \delta&0\end{bmatrix}$, respectively. AB - BA is always an invertible matrix. AB-BA is never an identity matrix.

A charge of total amount $Q$ is distributed over two concentric hollow spheres of radii $r$ and $R (R > r)$ such that the surface charge densities on the two spheres are equal. The electric potential at the common centre is

Dipole moment is shown by

Beilstein test is used for the estimation of which one of the following elements?

How many cyclic structures are possible for $C_4H_6?$

The equilibrium constant $\left(K_{c}\right)$ for the reaction $N_{2}$$_{(g)}$ + $O_{2}$ $_{(g)} \to 2NO \left(g\right)$ at temperature T is $4 � 10^{-4}$. Thevalue of Kc for the reaction $NO$$_{(g)} \to \frac{1}{2} N_{2}$$_{(g)} + \frac{1}{2} O_{2}$$_{(g)}$ at the same temperature is :

If $K_{sp}$ of $CaF_2$ at $25^??$ is $1.7 \times 10^{-10}$, the combination amongst the following which gives a precipitate of $CaF_2$ is

Two cars of masses $m_1$ and $m_2$ are moving in circles of radii $r_1$ and $r_2$, respectively. Their speeds are such that they make complete circles in the same time $t$. The ratio of their centripetal acceleration is :

An engine pumps water continuously through a hose. Water leaves the hose with velocity $v$ and $m$ is mass per unit length of the water jet. If this jet hits a surface and came to rest instantaneously, the force on the surface is

What is $DDT$ among the following :

Tollen�s reagent and Fehling solutions are used to distinguish between

The weight $W$ of a certain stock of fish is given by $W= nw,$ where n is the size of stock and w is the average weight of a fish. If $n$ and $w$ change with time $t$ as $n=2t^{2}+3$ and $w=t^{2}-t+2,$ then the rate of change of $W$ with respect to $t$ at $t = 1$ is

The velocity of certain ions that pass undeflected through crossed electric field $E = 7.7 k\, V/m$ and magnetic field $B = 0.14\, T$ is

The range of the function $f \left(x\right)=\frac{x}{1+\left|x\right|}, x\,\in\,R,$ is

The graph of an object�s motion (along the x-axis) is shown in the figure. The instantaneous velocity of the object at points $A$ and $B$ are $v_A$ and $v_B$ respectively. Then

The general solution of the differential equation $\frac{dy}{dx}+\frac{2}{x}y=x^{2}$ is

The equation of the circle passing through the point (1,2) and through the points of intersection of $x^2+y^2-4x-6y-21 = 0$ and $3x+4y+5 = 0$ is given by

The equation of a plane containing the line $\frac{x+1}{-3} = \frac{y-3}{2} = \frac{z+2}{1}$ and the point (0,7, - 7) is

The correct order of ligands in the spectrochemical series is

$N$ divisions on the main scale of a vernier calliper coincide with $(N+1)$ divisions of the vernier scale. If each division of main scale is $'a'$ units, then the least count of the instrument is