>
questions
List of practice Questions
If
$\vec{a} = \hat{i} + \lambda \hat{j} + 2 \hat{k}$
and
$\vec{b} = \mu \hat{i} + \lambda \hat{j} + 2 \hat{k}$
are orthogonal and if
$|\vec{a} | = |\vec{b}|$
, then
$(\lambda, \mu)$
=
COMEDK UGET - 2008
COMEDK UGET
Mathematics
Vector Algebra
If a set
$A$
has
$n$
elements, then the number of relations on
$A$
is
COMEDK UGET - 2008
COMEDK UGET
Mathematics
Relations and functions
If
$y =\left(1+x\right)\left(1+x^{2}\right) ....\left(1+x^{100}\right),$
then
$\frac{dx}{dy} $
at
$x = 0$
is
COMEDK UGET - 2008
COMEDK UGET
Mathematics
limits and derivatives
The acute angle between the hour hand and minute hand of a clock when the time is
$5\, hours$
and
$40\, minute$
is
COMEDK UGET - 2008
COMEDK UGET
Mathematics
measurement of angles
Two point charges are
$3\, m$
apart and their combined charge is
$8 \mu C$
. The force of repulsion between them is
$0.012\, N$
. Charges are
COMEDK UGET - 2008
COMEDK UGET
Physics
Electric charges and fields
Which one of the following forms a green solid with nitrous acid?
COMEDK UGET - 2008
COMEDK UGET
Chemistry
Amines
Which one of the following forms an alcohol with nitrous acid?
COMEDK UGET - 2008
COMEDK UGET
Chemistry
Amines
$\lim_{x\to0} \frac{\tan x -\sin x}{x^{3}} = $
COMEDK UGET - 2008
COMEDK UGET
Mathematics
limits and derivatives
In an interference experiment two parallel vertical slits
$S_1$
and
$S_2$
are used. A thin glass plate is introduced in the path of light from
$S_1$
. Then
COMEDK UGET - 2008
COMEDK UGET
Physics
Wave optics
Which one of the following has maximum magnetic moment?
COMEDK UGET - 2008
COMEDK UGET
Chemistry
d -and f -Block Elements
A slab consists of two plates of different materials of same thickness and having thermal conductivities
$K_1$
and
$K_2$
. The equivalent thermal conductivity of the slab is
COMEDK UGET - 2008
COMEDK UGET
Physics
thermal properties of matter
Cryoscopic constant is the depression in the freezing point produced by
COMEDK UGET - 2008
COMEDK UGET
Chemistry
Solutions
Nitrogen is obtained by heating
COMEDK UGET - 2008
COMEDK UGET
Chemistry
p -Block Elements
The Ostwald's dilution law is obeyed by
COMEDK UGET - 2008
COMEDK UGET
Chemistry
Electrochemistry
A body when released from the top of a tower of height
$h$
reaches the ground in time 1 second. Time in second at which it is a height
$ \frac{h}{2}$
above the groun.d is
COMEDK UGET - 2008
COMEDK UGET
Physics
Motion in a straight line
If
$C$
is the centre of the ellipse
$\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1 $
and S is one of the foci, then the ratio of CS to semi-minor axis of the ellipse is
COMEDK UGET - 2008
COMEDK UGET
Mathematics
Conic sections
If
$\log (x + z) + \log (x - 2y + z) = 2 \log (x - z),$
then
$ x, y, z$
are in
COMEDK UGET - 2008
COMEDK UGET
Mathematics
Sequence and series
$\displaystyle\lim_{n\to\infty} \frac{1^{2}+2^{2} +...+n^{2}}{4n^{3}+6n^{2}-5n+1}=$
COMEDK UGET - 2008
COMEDK UGET
Mathematics
limits and derivatives
The EMF of a cell containing sodium/copper electrodes is 3.05 V. If the electrode potential of copper electrode is + 0.34 V the electrode potential of sodium is
COMEDK UGET - 2008
COMEDK UGET
Chemistry
Electrochemistry
The range of a particle projected at an angle of 15? with the horizontal is 1.5 km. Its range when projected with the same velocity at an angle of 45? with the horizontal is
COMEDK UGET - 2008
COMEDK UGET
Physics
Motion in a plane
Which one of the following forms oleum when dissolved in cone
$ {H_2SO_4}$
?
COMEDK UGET - 2008
COMEDK UGET
Chemistry
p -Block Elements
Woollen clothes keep the body warm because they
COMEDK UGET - 2008
COMEDK UGET
Physics
thermal properties of matter
A charge situated at a certain distance along the axis of an electric dipole experience a force
$F$
. If the distance of the charge from the dipole is doubled, the force acting on it will become
COMEDK UGET - 2008
COMEDK UGET
Physics
Electric charges and fields
Iodine value is used to determine
COMEDK UGET - 2008
COMEDK UGET
Chemistry
Hydrocarbons
The modulus and amplitude of
$\frac{ 1 + 2i}{1 - (1 - i)^2}$
are respectively
COMEDK UGET - 2008
COMEDK UGET
Mathematics
Complex numbers
Prev
1
...
4626
4627
4628
4629
4630
...
5987
Next