List of top Questions asked in WBJEE

Ferric ion forms a Prussian blue precipitate due to the formation of

If aniline is treated with conc. $H_2SO_4$ and heated at $200^{\circ}C$, the product is

The nucleus ${^{64}_{29}Cu}$ accepts an orbital electron to yield.

If $z_1$ and $z_2$ be two non zero complex numbers such that $\frac{z_1 }{z_2 } + \frac{z_2}{z_1} = 1 $, then the origin and the points represented by $z_1$ and $z_2$

If Young?s double slit experiment is done with white light, which of the following statements will be true ?

Let $\vec{\alpha } = \hat{i} + \hat{j} + \hat{k} , \vec{\beta} = \hat{i} - \hat{j} - \hat{k}$ and $\vec{\gamma} = - \hat{i} + \hat{j} - \hat{k}$ be three vectors. A vector $\vec{\delta} $, in the plane of $\vec{\alpha}$ and $\vec{\beta}$, whose projection on $\vec{\gamma}$ is $\frac{1}{\sqrt{3}}$, is given by

If $\int \, f(x) \, \sin \, x \, \cos \, x \, dx = \frac{1}{2(b^2 - a^2)} \log f(x) + c$, where c is the constant of integration , then f(x) =

On the set $R$ of real numbers, the relation $\rho$ is defined by $x \rho y, (x, y) \in R$

The approximate value of $\sin \, 31^{\circ}$ is

The value of $\displaystyle\lim_{n \to \infty} \frac{1}{n} \left\{ \sec^2 \frac{\pi}{4 n} + \sec^2 \frac{2 \pi }{4n} + ..... \sec^2 \frac{n \pi}{4n} \right\}$ is

Which is least thermally stable?

The main reason the $SiCl_4$ is easily hydrolysed as compared to $CCl_4$ is that

The ease of hydrolysis in the compounds $CH _{3} COCl ( I ), CH _{3}- CO - O - COCH _{3}( II )$ $CH _{3} COOC _{2} H _{5}( III )$ and $CH _{3} CONH _{2}( IV )$ is of the order

One mole of a mono-atomic ideal gas undergoes a quasi-static process, which is depicted by a straight line joining points $(V_0, T_0)$ and $(2V_0, 3T_0)$ in a $V-T$ diagram. What is the value of the heat capacity of the gas at the point $(V_0, T_0)$ ?

In the circuit shown, inputs $A$ and $B$ are in states ?$1$? and ?$0$? respectively. What is the possible stable state of the outputs ?$X$? and ?$Y$? ?

During a reversible adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $\frac{C_P}{C_V}$ for the gas is

In a triangle $ABC$, the sides $AB$ and $AC$ are represented by the vectors $3 \hat{i} + \hat{j} + \hat{k}$ and $\hat{i} + 2 \hat{j} + \hat{k}$ respectively. Calculate the angle $\angle ABC$

The bob of a pendulum of mass �$m$�, suspended by a inextensible string of length �$L$� as shown in the figure carries a small charge �$q$�. An infinite horizontal plane conductor with uniform surface charge density $�\sigma�$ is placed below it. What will be the time period of the pendulum for small amplitude oscillations ?

Which of the following has the strongest H-bond ?

The correct order of reactivity for the addition reaction of the following carbonyl compounds with ethylmagnesium iodide is

What amount of electricity can deposit $1$ mole of $Al$ metal at cathode when passed through molten $AlCl_3$

The stress along the length of a rod (with rectangular cross section) is $1\%$ of the Young's modulus of its material. What is the approximate percentage of change of its volume ? (Poisson's ratio of the material of the rod is $0.3$)

If the half life of a radioactive nucleus is $3$ days, nearly what fraction of the initial number of nuclei will decay on the $3$rd day ? (Given that $\sqrt[3]{0.25} \approx 0.63)$)

How the linear velocity ?$v$? of an electron in the Bohr orbit is related to its quantum number ?$n$? ?

What will be current through the $200 \, \Omega$ resistor in the given circuit a long time after the switch �K� is made on ?