List of top Questions asked in WBJEE

In a mercury thermometer, the ice point (lower fixed point) is marked as $10^{\circ}$ and the steam point (upper fixed point) is marked as $130^{\circ}$. At $40^{\circ} C$ temperature, what will this thermometer read?

Water is flowing through a very narrow tube. The velocity of water below which the flow remains a streamline flow is known as

The line $x=2 y$ intersects the ellipse $\frac{x^{2}}{4}+y^{2}=1$ at the points $P$ and $Q$. The equation of the circle with $P Q$ as diameter is

If $\sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=\frac{3 \pi}{2}$, then the value of $x^{9}+y^{9}+z^{9}-\frac{1}{x^{9} y^{9} z^{9}}$ is equal to

The number of integer values of $m$, for which the $x$-coordinate of the point of intersection of the lines $3x + 4y = 9$ and $y = mx + 1$ is also an integer, is

In a slide callipers, $(m + 1)$ number of vernier divisions is equal to m number of smallest main scale divisions. If d unit is the magnitude of the smallest main scale division, then the magnitude of the vernier constant is

Let $A$ and $B$ be two events with $P\left(A^{c}\right)=0.3, P\left(B\right)=0.4$ and $P\left(A\cap B^{c}\right)=0.5$ Then $P\left(B|A \cup B^{c} \right) $ is equal to

Rolle's theorem is applicable in the interval $[-2, 2]$ for the function

If $\log _{e}\left(x^{2}-16\right) \leq \log _{e}(4 x-11)$, then

The incentre of an equilateral triangle is $(1,1)$ and the equation of one side is $3 x+4 y+3=0$ Then, the equation of the circumcircle of the triangle is

The coefficient of $x^{10}$ in the expansion of $1+\left(1+x\right)+\ldots+\left(1+x\right)^{20}$ is

An urn contains $8$ red and $5$ white balls. Three balls are drawn at random. Then the probability that balls of both colours are drawn is

If the first ionization energy of $H$ atom is $13.6\, eV$, then the $2^{nd}$ ionization energy of He atom is

The value of $\displaystyle \lim_{n \to \infty}\frac{\left(n!\right)^{\frac{1}{n}}}{n}$ is

The eccentric angle in the first quadrant of a point on the ellipse $\frac{x^{2}}{10}+\frac{y^{2}}{8}=1$ at a distance $3$ units from the centre of the ellipse is

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