List of top Questions asked in WBJEE

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

How many moles of electron weight one kilogram :

A metal $M$ (specific heat $0.16$) forms a metal chloride with $= 65\%$ chlorine present in it. The formula of the metal chloride will be

There is a small air bubble at the center of a solid glass sphere of radius \(r\) and refractive index \(\mu\). What will be the apparent distance of the bubble from the centre of the sphere, when viewed from outside?

White phosphorus $P_4$ has the following characteristics:

The number of unpaired electrons in $Ni$ (atomic number $= 28)$ are

$Cl_2O_7 $ is the anhydride of

The velocity of a particle executing a simple harmonic motion is $13\, ms^{-1}$, when its distance from the equilibrium position (Q) is 3 m and its velocity is $12 \, ms^{-1}$, when it is 5 m away from The frequency of the simple harmonic motion is

Let $F(x) = e^x, G(x) = e^{-x}$ and $H(x) = G(F(x))$, where $x$ is a real variable. Then $\frac{dH}{dx}$ at $x = 0$ is

$C_{6}H_{5}F^{18}$ is a $F^{18}$ radio-isotope labelled organic compound. $F^{18}$ decays by positron emission. the product resulting on decay is

When $BaCl_2$ is added to an aqueous salt solution, a white precipitate is obtained. The anion among $CO_3^{ 2-}, SO_3^{ 2-}$ and $SO_4^{ 2-}$ that was present in the solution can be :

A solid rectangular sheet has two different coefficients of linear expansion $\alpha_{1}$ and $\alpha_{2}$ along its length and breadth respectively. The coefficient of surface expansion is (for $\alpha_{1} t < < 1, \alpha_{2} t < < 1$)

A parallel beam of light is incident on a glass prism in the shape of a quarter cylinder of radius $R \,= \,0.05\, m$ and refractive index n = $1.5$ placed on a horizontal table as shown in the figure. Beyond the cylinder, a patch of light is found whose nearest distance $x$ from the cylinder is

The magnetic field due to a current in a straight wire segment of length $L$ at a point on its perpendicular bisector at a distance $r (r >> L)$

A uniform string of length $L$ and mass $M$ is fixed at both ends while it is subject to a tension $T$. It can vibrate at frequencies $(v)$ given by the formula (where $n = 1, 2, 3, .....$)

The common chord of the circles $x^2 + y^2 - 4x - 4y = 0$ and $2x^2 + 2y^2 = 32$ subtends at the origin an angle equal to

Let $A=\begin{pmatrix}x+2&3x\\ 3&x+2\end{pmatrix}, B=\begin{pmatrix}x&0\\ 5&x+2\end{pmatrix}$. Then all solutions of the equation det $(AB) = 0$ is

Out of $7$ consonants and $4$ vowels, words are formed each having $3$ consonants and $2$ vowels. The number of such words that can be formed is

The equation of the plane through \((1, 2, -3)\) and \((2, -2, 1)\) and parallel to \(X-\)axis is

The ground state magnetic property of $B_2$ and $C_2$ molecules will be

In a close-packed body-centred cubic lattice of potassium, the correct relation between the atomic radius $(r)$ of potassium and the edge-length $(a)$ of the cube is

Reduction of the lactol  OH with sodium borohydride gives

The probability that a non leap year selected at random will have $53$ Sundays is

The axis of the parabola $x^2 + 2xy + y^2 - 5x + 5y - 5 = 0$ is

A uniform capillary tube of length $l$ and inner radius $r$ with its upper end sealed is submerged vertically into water. The outside pressure is $p_0$ and surface tension of water is $\gamma$. When a length $x$ of the capillary is submerged into water, it is found that water levels inside and outside the capillary coincide. The value of $x$ is