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BITSAT
List of top Questions asked in BITSAT
If
$I_{m}=\int\limits_{1}^{e}(\ln x)^{m} d x$
, where
$m \in N$
, then
$I_{10}+10 I_{9}$
is equal to -
BITSAT - 2010
BITSAT
Mathematics
integral
If $m$ arithmetic means are inserted between $1$ and $31$ so that the ratio of the $7^{th}$ and $(m - 1)^{th}$ means is $5 : 9$, then find the value of m.
BITSAT - 2010
BITSAT
Mathematics
nth Term of an AP
The power dissipated in the circuit shown in the figure is $30$ Watts. The value of $R$ is
BITSAT - 2010
BITSAT
Physics
Electric Power
Chloride ion and potassium ion are isoelectronic. Then :
BITSAT - 2010
BITSAT
Chemistry
Classification of elements and periodicity in properties
The slope of the tangent to the hyperbola
$2x^2 - 3y^2 = 6$
at
$(3, 2)$
is
BITSAT - 2010
BITSAT
Mathematics
Hyperbola
The solution of differential equation $2x \frac{dy}{dx} - y = 3$ represents a family of
BITSAT - 2010
BITSAT
Mathematics
Differential equations
The upper end of a wire of diameter
$12\,mm$
and length
$1\,m$
is clamped and its other end is twisted through an angle of
$30^{\circ}$
. The angle of shear is
BITSAT - 2010
BITSAT
Physics
Stress Strain Curve
The value of
$\cos^{-1}x + \cos^{-1} \left(\frac{x}{2} + \frac{1}{2} \sqrt{3-3x^{2}}\right) ; \frac{1}{2} \le x \le 1 $
is
BITSAT - 2010
BITSAT
Mathematics
Inverse Trigonometric Functions
The vapour density of ozone is
BITSAT - 2010
BITSAT
Chemistry
Some basic concepts of chemistry
A point charge
$+q$
is placed at the centre of a cube of side
$L$
. The electric flux emerging from the cube is
BITSAT - 2010
BITSAT
Physics
Gauss Law
Three separate samples of a solution of a single salt gave these results. One formed a white precipitate with excess ammonia solution, one formed a white precipitate with dil.
$HCl$
solution and one formed a black precipitate with
$H_{2} S$
. The salt could be
BITSAT - 2010
BITSAT
Chemistry
Organic Chemistry - Some Basic Principles and Techniques
Which one of the following is the unit vector perpendicular to both $\vec{a}=-\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$ ?
BITSAT - 2010
BITSAT
Mathematics
Product of Two Vectors
Which of the following statements is/are true? 1.
$PH _{5}$
and
$BiCl _{5}$
do not exist. 2.
$pm - d \pi$
bond is present in
$SO _{2}$
. 3.
$I _{3}{ }^{+}$
has bent geometry. 4.
$SeF _{4}$
and
$CH _{4}$
have same shape.
BITSAT - 2010
BITSAT
Chemistry
The Valence Shell Electron Pair Repulsion (VSEPR) Theory
Which of the following pairs has both members from the same period of periodic table :
BITSAT - 2010
BITSAT
Chemistry
Modern Periodic Law And The Present Form Of The Periodic Table
Which of the following is similar to graphite
BITSAT - 2010
BITSAT
Chemistry
Group 13 Elements
Which of the following is best nuclear fuel
BITSAT - 2010
BITSAT
Physics
Nuclear physics
Which of the following does not depict the correct link between technology and physics?
BITSAT - 2010
BITSAT
Physics
Nuclear physics
Coolant used in car radiator is aqueous solution of ethylene glycol. In order to prevent the solution from freezing at
$-0.3^{\circ} C$
. How much ethylene glycol must be added to
$5\, kg$
of water ?
$\left( K_f =1 \cdot 86\, Kg\, mol ^{-1}\right)$
BITSAT - 2010
BITSAT
Chemistry
Colligative Properties
In a polygon no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon be $70$ then the number of diagonals of the polygon is
BITSAT - 2010
BITSAT
Mathematics
Permutations
In redox reaction
$1\, g$
-eq of reducing agent requires
$Pgm$
-e of oxidising agent. The value of
$P$
is
BITSAT - 2010
BITSAT
Chemistry
Oxidation Number
Eutrophication causes reduction in
BITSAT - 2010
BITSAT
Chemistry
Water pollution
In the equation
$PV^\gamma$
= constant, the value of
$\gamma$
is unity. Then the process is
BITSAT - 2010
BITSAT
Physics
Thermodynamics terms
In the periodic table, with the increase in atomic number, the metallic character of an element
BITSAT - 2010
BITSAT
Chemistry
Modern Periodic Law And The Present Form Of The Periodic Table
Experiment to study kinetics of the dissociation of hydrogen peroxide must be performed by group of two or three so that -
BITSAT - 2010
BITSAT
Chemistry
Chemical Kinetics
A solenoid of 1.5 m length and 4.0 cm diameter possesses 10 turns/cm. A current of 5 A is flowing through it. The magnetic induction at axis inside the solenoid is
BITSAT - 2010
BITSAT
Physics
Inductance
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