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AMUEEE
List of top Questions asked in AMUEEE
The number of real values of
$ x $
which satisfy the equation
$ |\frac{x}{x-1}| + |x| = \frac{x}{|x-1|} $
is
AMUEEE - 2011
AMUEEE
Mathematics
complex numbers
The number density of free electrons in a copper conductor is
$8.5 \times 10^{28} \cdot m ^{-3}$
. How long does an electron take to drift from one end of a wire
$3.0\, m$
long to its other end? The area of crosssection of the wire is
$2.0 \times 10^{-6}\, m ^{2}$
and it is carrying a current of
$3.0\,A$
.
AMUEEE - 2011
AMUEEE
Physics
Electric Current
The interaction between a polar and non-polar molecule is known as
AMUEEE - 2011
AMUEEE
Chemistry
Polarity of bonds
$Ti ^{3+}$
transition metal ion is purple in colour while
$Ti ^{4+}$
metal ion is colourless due to
AMUEEE - 2011
AMUEEE
Chemistry
d block elements
$ KMnO_4 $
gets reduced to
AMUEEE - 2011
AMUEEE
Chemistry
d block elements
In diborane
$ (B_2H_6) $
there are
AMUEEE - 2011
AMUEEE
Chemistry
p -Block Elements
If
$ H_n = 1+\frac{1}{2} + ..... + \frac{1}{n}, $
then the value of
$ S_n = 1+\frac{3}{2} + \frac{5}{3} + .....+\frac{2n-1}{n} is $
AMUEEE - 2011
AMUEEE
Mathematics
Sequence and series
The eccentricity of the hyperbola with latus rectum
$ 12 $
and semi-conjugate axis
$ 2\sqrt{3} $
, is
AMUEEE - 2011
AMUEEE
Mathematics
Hyperbola
If the normal at the point
$ P(\theta) $
to the ellipse
$ \frac{x^2}{14} + \frac {y^2}{5} = 1 $
intersects it again at the point
$ Q(2\theta), $
then
$ cos \theta $
equals to
AMUEEE - 2011
AMUEEE
Mathematics
Ellipse
If the parabolas
$ y^2 = 4x $
and
$ x^2 = 32y $
intersect at
$ (16, 8) $
at an angle
$ \theta $
, then
$ \theta $
equals to
AMUEEE - 2011
AMUEEE
Mathematics
Parabola
If algebraic sum of distances of a variable line from points
$ (2,0) $
,
$ (0,2) $
and
$ (-2- 2) $
is zero, then the line passes through the fixed point
AMUEEE - 2011
AMUEEE
Mathematics
Straight lines
If
$ asin^{-1}x - bcos^{-1} x = c $
,
$ a sin^{-1}x + b cos^{-1} x $
is equal to
AMUEEE - 2011
AMUEEE
Mathematics
Trigonometric Equations
Hydrolysis of
$ XeF_4 $
and
$ XeF_6 $
with water gives
AMUEEE - 2011
AMUEEE
Chemistry
p -Block Elements
Formic acid can be distinguished from acetic acid by reacting with
AMUEEE - 2011
AMUEEE
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Eutrophication is due to
AMUEEE - 2011
AMUEEE
Chemistry
Environmental Chemistry
Arrange the following carbocations in order of increasing stability
$ [A] (CH_3)_3C\overset{+}{C}H_2 \, $
,
$ [B] (CH_3)_3\overset{+}{C}\, [B] $
,
$ [C] CH_3CH_3C^+H_2\, $
,
$ [D] CH_3\overset{+}{C}HCH_2CH_3 \, $
AMUEEE - 2011
AMUEEE
Chemistry
Organic Chemistry- Some Basic Principles and Techniques
Arrange the following
$ CH_3CH_2CH_2Cl\, (I) $
,
$ CH_3CH_2-CHCl-CH_3\, (II) $
,
$ (CH_3)_2CHCH_2Cl \,(III) $
and
$ (CH_3)_3C?Cl \,(IV) $
in order of decreasing tendency towards
$ S_N2 $
reactions
AMUEEE - 2011
AMUEEE
Chemistry
Haloalkanes and Haloarenes
An intrinsic semiconductor has a resistivity of
$ 0.50 \Omega\, m $
at room temperature. Find the intrinsic carrier concentration, if the mobilities of electrons and holes are
$ 0.39\, m^2/Volt $
, and
$ 0.11 m^2/Volt \,sec $
respectively
AMUEEE - 2011
AMUEEE
Physics
Semiconductor electronics: materials, devices and simple circuits
An artificial satellite moving in a circular orbit at a distance
$h$
from the centre of the earth has a total energy
$E_0$
. Its potential energy is
AMUEEE - 2011
AMUEEE
Physics
Gravitation
Example of electrophile is
AMUEEE - 2011
AMUEEE
Chemistry
Organic Chemistry- Some Basic Principles and Techniques
Splitting of spectral lines in electric field is called
AMUEEE - 2011
AMUEEE
Chemistry
Structure of atom
Which of the following are isoelectronic molecules?
AMUEEE - 2011
AMUEEE
Chemistry
Structure of atom
The following reagent is used for introducing a formyl group
$ (?CHO) $
into the benzene ring
AMUEEE - 2011
AMUEEE
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Arrange the following acids in order of their increasing acidity.
AMUEEE - 2011
AMUEEE
Chemistry
Aldehydes, Ketones and Carboxylic Acids
An alkyl cyanide forms an amide when it is treated with
AMUEEE - 2011
AMUEEE
Chemistry
Amines
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