List of top Questions asked in WBJEE- 2012

Let $p, q$ and $r$ be the side4s opposite to the angles $P, Q$ and $R$, respectively in a $\Delta P Q R$. Then, $2 p r \sin \left(\frac{P-Q+R}{2}\right)$ equals

The area of the region bounded by the curves $y=x^{3}, y=\frac{1}{x}, x=2$ is

The solution of $25\frac{d^{2}y}{dx^{2}}-10 \frac{dy}{dx}+y=0, \, y\left(0\right) =1, \, y\left(1\right)=2e^{\frac{1}{5}} $ is

The value of the integral $\int\limits_{0}^{\pi / 2} \frac{1}{1+(\tan x)^{101}} d x$ is equal to

Which of the following solutions is an example of negative deviation from Raoult�s law?

A body when fully immersed in a liquid of specific gravity $1.2\, $ weighs $44\,gwt$. The same body when fully immersed in water weighs $50\, gwt$. The mass of the body is

If the velocity of light in vacuum is $3\times10^{8}\, ms^{-1},$ the time taken (in nanosecond) to travel through a glass plate of thickness $10 \,cm$ and refractive index $1.5$ is

$20\, mL\, 0.1( N )$ acetic acid is mixed with $10\, mL$ $0.1( N )$ solution of $NaOH$. The $pH$ of the resulting solution is $\left( p K_{a}\right.$ of acetic acid is $4.74$ )

In the adjoining figure the potential difference between $X$ and $Y$ is $60\,V$. The potential difference the points $M$ and $N$ will be

Under identical conditions, the $S_N1$ reaction will occur most efficiently with

The state of hybridization of the central atom and the number of lone pairs over the central atom in $POCl_{3}$ are

Let $p, q$ and $r$ be the sides opposite to the angles $P, Q$ and $R$, respectively in a $\Delta P Q R$. If $r^{2} \sin P \sin Q=p q$, then the triangle is

The number of diagonals in a regular polygon of $100$ sides is

A charge $+q$ is placed at the origin $O$ of $X-Y$ axes as shown in the figure. The work done in taking a charge $Q$ from $A$ to $B$ along the straight line $AB$ is

The blood vessel which supply oxygenated blood to cardiac tissue is

All or none law is not applicable for

The volume of Anatomical Dead Space air is normally

A Wheatstone bridge has the resistances $10\, \Omega,\, 10\, \Omega, 10\, \Omega$ and $30\, \Omega$ in its four arms. What resistance joined in parallel to the $30\, \Omega$ resistance will bring it to the balanced condition?

What current will flow through the $2\,k\Omega$ resistor in the circuit shown in the figure?

Which one of the following is wrong about molecularity of a reaction?

The weight of oxalic acid that will be required to prepare a $1000\, mL$ $\left(\frac{N}{20}\right)$ solution is

Equal weights of $CH_{4}$ and $H_{2}$ are mixed in an empty container at $25^\circ C$. The fraction of the total pressure exerted by $H_{2}$ is

In a reversible chemical reaction at equilibrium, if the concentration of any one of the reactants is doubled, then the equilibrium constant will

In a normal adult human, the average cardiac output (stroke volume) is

Third and fourth ventricles of the brain are connected by