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WBJEE
List of top Questions asked in WBJEE
$\displaystyle\lim _{x \rightarrow 0} \frac{\sin |x|}{x}$ is equal to
WBJEE - 2010
WBJEE
Mathematics
limits and derivatives
On mixing certain alkane with chlorine and irradiating it with ultraviolet light,it forms only one mono-chloroalkane. The alkane is :
WBJEE - 2010
WBJEE
Chemistry
Alkanes
In the figure below, the capacitance of each capacitor is
$3 \mu F$
. The effective capacitance between
$A$
and
$B$
is :
WBJEE - 2010
WBJEE
Physics
electrostatic potential and capacitance
A body is projected horizontally with a velocity of
$u$
$ m/s$
at an angle
$ \beta $
with the horizontal. The kinetic energy at the highest point is
$( \frac{ 3}{ 4} )^{th}$
of the initial kinetic energy. The value of
$ \beta $
is
WBJEE - 2010
WBJEE
Physics
work, energy and power
In a common emitter configuration, a transistor has $\beta = 50$ and input resistance $1\, k\Omega$. If the peak value of a.c. input is $0.01\, V$ then the peak value of collector current is
WBJEE - 2010
WBJEE
Physics
Semiconductor electronics: materials, devices and simple circuits
The function $f\left(x\right) = \sec \left[\log\left(x+\sqrt{1+x^{2}}\right)\right]$ is
WBJEE - 2010
WBJEE
Mathematics
Functions
The value of $\frac{\log_{3} 5 \times \log_{25} 27 \times \log_{49} 7}{\log_{81} 3}$ is
WBJEE - 2010
WBJEE
Mathematics
limits of trigonometric functions
If $f(5)=7$ and $f^{'}(5)=7$ then $\displaystyle\lim _{x \rightarrow 5} \frac{x f(5)-5 f(x)}{x-5}$ is given by
WBJEE - 2010
WBJEE
Mathematics
limits and derivatives
Which of the following orders regarding ionization energy is correct ?
WBJEE - 2010
WBJEE
Chemistry
Classification
When a manganous salt is fused with a mixture of $KNO_3$ and solid $NaOH$ the oxidation number of $Mn$ changes from $+2$ to
WBJEE - 2010
WBJEE
Chemistry
Redox reactions
$n$
identical droplets are charged to
$V$
volt each. If they coalesce to form a single drop, then its potential will be
WBJEE - 2010
WBJEE
Physics
electrostatic potential and capacitance
A body weighs 22.42 g and has a measured volume of 4.7 cc The possible errors in the measurement of mass and volume are 0.01 g and cc. Then the maximum error percentage in the density will be
WBJEE - 2010
WBJEE
Physics
Units and measurement
The general solution of the different equation $100\frac{d^{2}y}{dx^{2}}-20 \frac{dy}{dx}+y = 0 $ is
WBJEE - 2010
WBJEE
Mathematics
Differential equations
The degree of the differential equation $x = 1+\left(\frac{dy}{dx}\right)+\frac{1}{2!}\left(\frac{dy}{dx}\right)^{2}+\frac{1}{3!}\left(\frac{dy}{dx}\right)^{3} + .........$
WBJEE - 2010
WBJEE
Mathematics
Differential equations
$\int\sqrt{1+\cos\,x}\,dx$ is equal to
WBJEE - 2010
WBJEE
Mathematics
Integrals of Some Particular Functions
In hemoglobin the metal ion present is
WBJEE - 2010
WBJEE
Chemistry
Biomolecules
Experimental investigations show that the intensity of solar radiation is maximum for a wavelength
$480 \,nm$
in the visible region. Estimate the surface temperature of sun. (Given Wien's constant
$b = 2.88\times10^{-3} \,mK.)$
WBJEE - 2010
WBJEE
Physics
thermal properties of matter
The reading of the ammeter in the following figure will be
WBJEE - 2010
WBJEE
Physics
Current electricity
If
$x_1$
be the size of the magnified image and
$x_2$
the size of the diminished image in Lens Displacement Method, then the size of the object is
WBJEE - 2010
WBJEE
Physics
Ray optics and optical instruments
The value of $\frac{2}{3!}+\frac{4}{5!}+\frac{6}{7!}+........$ is
WBJEE - 2010
WBJEE
Mathematics
Sequence and series
$P_4O_{10}$
is the anhydride of
WBJEE - 2010
WBJEE
Chemistry
p -Block Elements
If $y'' - 3y' + 2y = 0$ where $y(0) = 1$, $y'(0) = 0$, then the value of $y$ at $x \,= log_e \,2$ is
WBJEE - 2010
WBJEE
Mathematics
Differential equations
Keto-enol tautomerism is not observed in
WBJEE - 2010
WBJEE
Chemistry
Aldehydes, Ketones and Carboxylic Acids
The decimal equivalent of the binary number $(11010.101)_2$ is
WBJEE - 2010
WBJEE
Physics
Logic gates
Half-life of a radioactive substance is $20$ minute. The time between $20\%$ and $80\%$ decay will be :
WBJEE - 2010
WBJEE
Physics
Nuclei
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