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VITEEE
List of top Questions asked in VITEEE
The type of bonds present in sulphuric anhydride are
VITEEE - 2009
VITEEE
Chemistry
Chemical bonding and molecular structure
What are $X$ and $Y$ in the following reaction sequence $C _{2} H _{5} OH \ce{->[{ Cl _{2} }]} \underline{X} \ce{->[{ Cl _{2}}]}\underline{Y}$
VITEEE - 2009
VITEEE
Chemistry
Alcohols, Phenols and Ethers
$pH$ of a buffer solution decreases by $0.02$ units when $0.12\,g$ of acetic acid is added to $250\, mL$ of a buffer solution of acetic acid and potassium acetate at $27^{\circ} C$. The buffer capacity of the solution is
VITEEE - 2009
VITEEE
Chemistry
Buffer Solutions
The chemical entities present in thermosphere of the atmosphere are
VITEEE - 2009
VITEEE
Chemistry
Atmospheric pollution
If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are
$a, b $
and
$c$
respectively, the ratio between the increase in lengths of brass and steel wires would be
VITEEE - 2009
VITEEE
Physics
Stress and Strain
For the following cell reaction $Ag \left| Ag ^{+}\right| AgCl \left| Cl ^{\ominus}\right| Cl _{2}, Pt$ $\Delta G ^{\circ} f ( AgCl )=-109\, kJ / mol$ $\Delta G ^{\circ} f \left( Cl ^{-}\right)=-129\, kJ / mol$ $\Delta G ^{\circ} f \left( Ag ^{+}\right) 78 \,kJ / mol$ $E ^{\circ}$ of the cell is
VITEEE - 2009
VITEEE
Chemistry
Gibbs Free Energy
How many ' $mL$' of perhydrol is required to produce sufficient oxygen which can be used to completely convert $2 \,L$ of $SO _{2}$ gas to $SO _{3}$ gas?
VITEEE - 2009
VITEEE
Chemistry
Stoichiometry and Stoichiometric Calculations
The shortest distance between the straight lines through the points
$A_1 = (6, 2, 2)$
and
$A_2 = (-4, 0, -1)$
, in the directions of
$(1, -2, 2)$
and
$(3, -2, -2)$
is
VITEEE - 2008
VITEEE
Mathematics
Three Dimensional Geometry
Probability of getting positive integral roots of the equation x$^2$ - n = 0 for the integer n, 1 $\le$ n $\le$ 40 is
VITEEE - 2008
VITEEE
Mathematics
Probability
Solution of the differential equation $xdy - ydx - \sqrt{x^{2}+y^{2}}dx = 0$ is
VITEEE - 2008
VITEEE
Mathematics
General and Particular Solutions of a Differential Equation
If $\left|\frac{z-25}{z-1}\right|=5$ , the value of |z|
VITEEE - 2008
VITEEE
Mathematics
complex numbers
The center and radius of the sphere $x^2 + y^2 + z^2 + 3x - 4z + 1 = 0$ are
VITEEE - 2008
VITEEE
Mathematics
Circle
The simplified expression of sin (
$tan^{-1} x$
), for any real number
$x$
is given by
VITEEE - 2008
VITEEE
Mathematics
Inverse Trigonometric Functions
The value of
$\int^{^a}_{0}\sqrt{\frac{a-x}{x}}dx$
is
VITEEE - 2008
VITEEE
Mathematics
Integrals of Some Particular Functions
The value of
$f(0)$
so that
$\frac{\left(-e^{x} +2^{x}\right)}{x}$
may be continuous at
$x = 0$
is
VITEEE - 2008
VITEEE
Mathematics
Differentiability
Which of the following is ketohexose ?
VITEEE - 2008
VITEEE
Chemistry
Carbohydrates
When ethyl alcohol is heated with conc. $H_2SO_4$, the product obtained is :
VITEEE - 2008
VITEEE
Chemistry
Chemical Reactions
When acetamide is hydrolysed by boiling with acid, the product obtained is :
VITEEE - 2008
VITEEE
Chemistry
Chemical Reactions
$^{234}U $ has $92$ protons and $234$ nucleons total in its nucleus. It decays by emitting an alpha particle. After the decay it becomes
VITEEE - 2008
VITEEE
Physics
Nuclei
A solid sphere of radius $R_{1}$ and volume charge density $\rho=\frac{\rho_{0}}{r}$ is enclosed by a hollow sphere of radius $R_{2}$ with negative surface charge density $\sigma$, such that the total charge in the system is zero, $\rho_{0}$ is a positive constant and $r$ is the distance from the centre of the sphere. The ratio $\frac{R_{2}}{R_{1}}$ is
VITEEE - 2008
VITEEE
Physics
Electric charges and fields
An observer $A$ sees an asteroid with a radioactive element moving by at a speed $=0.3\, c$ and measures the radioactivity decay time to be $T_{A}$. Another observer $B$ is moving with the asteroid and measures its decay time as $T_{B} .$ Then $T_{A}$ and $T_{B}$ are related as
VITEEE - 2008
VITEEE
Physics
Motion in a straight line
A $p-n$ junction has acceptor impurity concentration of $10^{17}\, cm ^{-3}$ in the $P$ side and donor impurity concentration of $10^{16} cm ^{-3}$ in the $N$ side. What is the contact potential at the junction? $(k T=$ thermal energy, intrinsic carrier concentration $\left.n_{i}=1.4 \times 10^{10}\, cm ^{-3}\right)$
VITEEE - 2008
VITEEE
Physics
kinetic theory
The radioactivity of a certain material drops to $\frac{1}{16}$ of the initial value in $2$ hours. The half life of this radionuclide is
VITEEE - 2008
VITEEE
Physics
Nuclei
Three resistances of
$4 \,\Omega$
each are connected as shown in figure. If the point
$D$
divides the resistance into two equal halves, the resistance between point
$A$
and
$D$
will be
VITEEE - 2008
VITEEE
Physics
Resistance
A Zener diode has a contact potential of
$1\, V$
in the absence of biasing. It undergoes Zener breakdown for an electric field of
$10^{6} \,V / m$
at the depletion region of
$p-n$
junction. If the width of the depletion region is
$2.5 \,\mu\, m$
, what should be the reverse biased potential for the Zener breakdown to occur?
VITEEE - 2008
VITEEE
Physics
Electric Field
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