List of top Questions asked in AIEEE- 2005

Two simple harmonic motions are represented by the equations $y_{1}=0.1\,sin\left(100\,\pi t+\frac{\pi}{3}\right)$ and $y_{2}=0.1\,cos\,\pi\,t.$ The phase difference of the velocity of particle 1, with respect to the velocity of particle 2 is :

When an unpolarized light of intensity $I_0$ is incident on a polarizing sheet, the intensity of the light which does not get transmitted is :

If the coefficient of $x^7$ in $\left[ ax^2 + (\frac{1}{bx} ) \right]^{11}$ equals the coefficient of $x^{-7}$ in $\left[ax - \left(\frac{1}{bx^{2}}\right)\right]^{11}$ , then a and b satisfy the relation

Lattice energy of an ionic compound depends upon :

Based on lattice energy and other considerations which one of the following alkali metal chlorides is expected to have the highest melting point ?

The decreasing order of nucleophilicity among the nucleophiles : (A)$CH_{3}\underset{\underset{O}{||}}{C}-O^-$ (B)$CH_3O^-$ (C) $CN^-$

Average density of the earth :

The relation between time $t$ and distance $x$ is $t = ax^2 + bx$, where $a$ and $b$ are constants. The acceleration is:

Equimolar solutions in the same solvent have :

Alkyl halides react with dialkyl copper reagents to give

Aluminium oxide may be electrolysed at 1000 $^{\circ}$C to furnish aluminium metal (Atomic mass = 27 amu: 1 faraday = 96,500 Coulombs). The cathode reaction is $Al^{3+} + 3e^- \to Al^{\circ}$ To prepare 5.12 kg of aluminium metal by this method would require :

If a is the degree of dissociation of $Na_2SO_4$, the van?t Hoff factor (i) used for calculating the molecular mass is :

The volume of a colloidal particle, $V_C$ as compared to the volume of a solute particle in a true solution $V_S$, could be :

Two sources of equal emf are connected to an external resistance $R$. The internal resistances of the two sources are $R_1$ and $R_2 (R_2 > R_1).$ If the potential difference across the source having internal resistance $R_2$, is zero, then :

The resistance of hot tungsten filament is about $10$ times the cold resistance. What will be the resistance of $100\, W$ and $200\, V$ lamp, when not in use ?

An energy source will supply a constant current into the load, if its internal resistance is :

Two voltameters, one of copper and another of silver, are joined in parallel. When a total charge $q$ flows through the voltameters, equal amount of metals are deposited. If the electrochemical equivalents of copper and silver are $Z_1$ and $Z_2$ respectively, the charge which flows through the silver voltameter is :

If a simple harmonic motion is represented by $\frac{d^{2}x}{dt^{2}}+\alpha\,x=0,$ its time period is :

A reaction involving two different reactants can never be

Consider an endothermic reaction $X\, \to \,Y$ with the activation energies $E_b$ and $E_f$ for the backward and forward reactions respectively. In general :

A charged ball $B$ hangs from a silk thread $S$, which makes an angle $\theta$ with a large charged conducting sheet $P$, as shown in the figure. The surface charge density $\sigma$ of the sheet is proportional to:

The system of equations $\alpha \, x + y + z = \alpha - 1$ $x + \alpha y + z = \alpha - 1$ $x + y + \alpha z = \alpha - 1$ has infinite solutions, if $\alpha$ is

A fully charged capacitor has a capacitance $'C'$. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity $s$ and mass $m$. If the temperature of the block is raised by $\Delta T$, the potential difference $V$ across the capacitance is:

Two thin wire rings each having a radius $R$ are placed at a distance $d$ apart with their axes coinciding. The charges on the two rings are $+ q$ and $- q$. The potential difference between the centres of the two rings is :

The figure shows a system of two concentric spheres of radii $r_1$, and $r_2$ and kept at temperatures $T_1$ and $T_2$, respectively. The radial rate of flow of heat in a substance between the two concentric spheres, is proportional to :