List of top Questions asked in WBJEE- 2016

The current flowing through the 3$\Omega$ resistor in the circuit is,

Which of the following is true in respect of adsorption?

If $\omega$ is an imaginary cube root of unity, then the value of $\left(2-\omega\right)\left(2-\omega^{2}\right)+2\left(3-\omega\right)\left(3-\omega^{2}\right)+.....+\left(n-1\right)\left(n-\omega\right)\left(n-\omega^{2}\right)$

A series LCR circuit resonates at 10 kHZ. If the capacitor is 0.01 $\mu$F, the inductance used is approximately

The minimum and maximum capacitances, which may be obtained by the combination of three capacitors each of capacitance 6$\mu$ F are

An electron of mass ?m? is accelerated by a potential difference V and the corresponding de-Broglie wavelength is $\lambda$. The de Broglie wavelength of a proton of mass M if it is accelerated by the same potential difference is ,

Light is an electromagnetic wave whose

The equilibrium constant for the reaction $N_{2} +3H_{2} {\rightleftharpoons} 2NH_{3}$ is ?K?. Then, the equilibrium constant for the reaction $2N_{2}+6H_{2} {\rightleftharpoons} 4NH_{3}$ will be

Which of the following compounds is least effective in precipitating $Fe\left(OH\right)_{3}$ sol.?

A and B are two parallel sided transparent slabs of refractive indices n$_1 $and n$_2$ respectively. A ray is incident at an angle $\theta$ on the surface of separation of A and B, and after refraction from B into air grazes the surface of B. Then

Two charges of equal amount +Q are placed on a line. Another charge q is placed at the mid-point of the line. The system will be in equilibrium if the value of q is

The increase in electrostatic potential energy of a dipole of moment p when it is taken from parallel to anti-parallel orientation in an electric field E is

A micro-ammeter gives full scale deflection at 100 $\mu$A. Its resistance is 2k$\Omega$. The resistance required to convert it to a voltmeter reading 1V is

If $PQ$ is a double ordinate of the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ such that $\Delta OPQ$ is equilateral, $O$ being the centre. Then the eccentricity e satisfies

If $A, B$ are two events such that $P\left(A\cup B\right) \ge \frac{3}{4}$ and $\frac{1}{8}\le P\left(A\cap B\right) \le\frac{3}{8}$ then

A particle of mass ????and carrying a charge ????enters with a velocity ????perpendicular to a uniform magnetic field. The time period of rotation of the particle

Standard Deviation of n observations $a_{1}, a_{2}, a_{3} ..... a_{n}$ is $\sigma$. Then the standard deviation of the observations $\lambda a_{1},\lambda a_{2}, .... \lambda a_{n}$ is

Let $R$ be a relation defined on the set $Z$ of all integers and $xRy$ when $x + 2y$ is divisible by $3$. Then

Amongst the following compounds, the one which would not form a white precipitate with ammonical silver nitrate solution is

Consider the following reaction: $6NaOH +3cl_{2} \to5Nacl +A+3H_{2}O$ What is the oxidation number of chlorine in A?

Pressure (P) vs. density (D) curve for an ideal gas at two different temperatures $T_{1} andT_{2}$ is shown below. Identify the correct statement about $T_{1}and T_{2}$:

The locus of the midpoints of all chords of the parabola $y^2 = 4ax$ through its vertex is another parabola with directrix

If a bar magnet of magnetic moment M is kept in a uniform magnetic field B, its time period of oscillation is T. In the same magnetic field, the time period of another magnet of same dimension and same mass but of moment M/4 is,

If$I_{1}$and$I_{2}$ be the sizes of real images for two positions of a convex lens between object and screen,then the size of the object is

The sum of n terms of the following series; $1^3 + 3^3 + 5^3 + 7^3 + ....$ is