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AIEEE
List of top Questions asked in AIEEE
In a series resonant
$LCR$
circuit, the voltage across
$R$
is
$100$
volts and
$R = 1\,\Omega$
with
$C = 2\mu F$
. The resonant frequency
$\omega$
is
$200$
rad/s. At resonance the voltage across
$L$
is :
AIEEE - 2006
AIEEE
Physics
Alternating current
A long solenoid has
$200$
turns per cm and carries a current
$i$
. The magnetic field at its centre is
$6.28 \times 10^{-2}$
weber/
$m^2$
. Another long solenoid has 100 turns per cm and it carries a current
$i/3$
. The value of the magnetic field at its centre is:
AIEEE - 2006
AIEEE
Physics
Moving charges and magnetism
A string is stretched between fixed points separated by
$75.0\, cm$
. It is observed to have resonant frequencies of
$420\, Hz$
and
$315\, Hz$
. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is :
AIEEE - 2006
AIEEE
Physics
Waves
Which of the following units denotes the dimensions
$[ML^2/Q^2],$
where
$Q$
denotes the electric charge ?
AIEEE - 2006
AIEEE
Physics
Inductance
An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If
$T_i$
is the initial temperature and
$T_f$
is the final temperature, which of the following statements is correct ?
AIEEE - 2006
AIEEE
Chemistry
Thermodynamics
Which one of the following sets of ions represents a collection of isoelectronic species ?
AIEEE - 2006
AIEEE
Chemistry
Structure of atom
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 :
AIEEE - 2005
AIEEE
Physics
simple harmonic motion
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 :
AIEEE - 2005
AIEEE
Physics
Wave optics
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
AIEEE - 2005
AIEEE
Mathematics
Binomial theorem
Lattice energy of an ionic compound depends upon :
AIEEE - 2005
AIEEE
Chemistry
Chemical bonding and molecular structure
Based on lattice energy and other considerations which one of the following alkali metal chlorides is expected to have the highest melting point ?
AIEEE - 2005
AIEEE
Chemistry
Chemical bonding and molecular structure
Curie temperature is the temperature above which
AIEEE
AIEEE - 2003
COMEDK UGET - 2005
COMEDK UGET
Physics
Magnetism and matter
The decreasing order of nucleophilicity among the nucleophiles : (A)
$CH_{3}\underset{\underset{O}{||}}{C}-O^-$
(B)
$CH_3O^-$
(C)
$CN^-$
AIEEE - 2005
AIEEE
Chemistry
reaction mechanism
Average density of the earth :
AIEEE - 2005
AIEEE
Physics
Gravitation
The relation between time
$t$
and distance
$x$
is
$t = ax^2 + bx$
, where
$a$
and
$b$
are constants. The acceleration is:
AIEEE - 2005
AIEEE
Physics
Motion in a straight line
Equimolar solutions in the same solvent have :
AIEEE - 2005
AIEEE
Chemistry
Solutions
Alkyl halides react with dialkyl copper reagents to give
AIEEE - 2005
AIEEE
Chemistry
Haloalkanes and Haloarenes
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 :
AIEEE - 2005
AIEEE
Chemistry
Electrochemistry
If a is the degree of dissociation of
$Na_2SO_4$
, the van?t Hoff factor (i) used for calculating the molecular mass is :
AIEEE - 2005
AIEEE
Chemistry
Solutions
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 :
AIEEE - 2005
AIEEE
Chemistry
Surface Chemistry
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 :
AIEEE - 2005
AIEEE
Physics
Current electricity
An energy source will supply a constant current into the load, if its internal resistance is :
AIEEE - 2005
AIEEE
Physics
Current electricity
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 ?
AIEEE - 2005
AIEEE
Physics
Current electricity
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 :
AIEEE - 2005
AIEEE
Physics
Current electricity
If a simple harmonic motion is represented by
$\frac{d^{2}x}{dt^{2}}+\alpha\,x=0,$
its time period is :
AIEEE - 2005
AIEEE
Physics
Oscillations
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