List of top Questions asked in WBJEE

The general solution of the different equation $100\frac{d^{2}y}{dx^{2}}-20 \frac{dy}{dx}+y = 0 $ is

The degree of the differential equation $x = 1+\left(\frac{dy}{dx}\right)+\frac{1}{2!}\left(\frac{dy}{dx}\right)^{2}+\frac{1}{3!}\left(\frac{dy}{dx}\right)^{3} + .........$

$\int\sqrt{1+\cos\,x}\,dx$ is equal to

In hemoglobin the metal ion present is

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 $b = 2.88\times10^{-3} \,mK.)$

The reading of the ammeter in the following figure will be

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

The value of $\frac{2}{3!}+\frac{4}{5!}+\frac{6}{7!}+........$ is

$P_4O_{10}$ is the anhydride of

If $y'' - 3y' + 2y = 0$ where $y(0) = 1$, $y'(0) = 0$, then the value of $y$ at $x \,= log_e \,2$ is

Keto-enol tautomerism is not observed in

The decimal equivalent of the binary number $(11010.101)_2$ is

Half-life of a radioactive substance is $20$ minute. The time between $20\%$ and $80\%$ decay will be :

A ball is projected horizontally with a velocity of $5 \,m/s$ from the top of a building $19.6\, m$ high. How long will the ball take of hit the ground ?

In Young�s double slit experiment, the fringe width is $\beta$. If the entire arrangement is placed in a liquid of refractive index $n$, the fringe width becomes :

Two solid spheres of same metal but of mass $M$ and $8\,M$ fall simultaneously on a viscous liquid and their terminal velocities are $v$ and $nv$, then value of $n$ is

'Water-vascular' system is found in

The potential of a hydrogen electrode at $pH = 10$ is

Red cell count is carried out by

The reading of the ammeter in the following figure will be

For a reversible chemical reaction where the forward process is exothermic, which of the following statements is correct ?

The molarity of a $NaOH$ solution by dissolving $4 \,g$ of it in $250\, ml$ water is

In the reaction of sodium thiosulphate with $I_2$ in aqueous medium, the equivalent weight of sodium thiosulphate is equal to

$0.1\, (M)\, HCl$ and $0.1\, (M)\, H_2SO_4$ each of volume $2ml$ are mixed and the volume is made up to $6\, ml$ by adding $2\,ml$ of $0.01\, (N)\, NaCl$ solution. The $pH$ of the resulting mixture is

Calculate $K_{C}$ for the reversible process given below if $K_{P}=167$ and $T=800^{\circ} C$ $CaCO _{3}( s ) \rightleftharpoons CaO ( s )+ CO _{2}( g )$