List of top Questions asked in KCET, WBJEE

A rocket of mass $100 \,kg$ burns $0.1\, kg$ of fuel per sec. If velocity of exhaust gas is $1 \,km/s^{-1}$, then it lifts with an acceleration of
A beaker of radius $15\, cm$ is filled with a liquid of surface tension $0.75\, N/m$. Force across an imaginary diameter on the surface of the liquid is
Force required to move a mass of $1 \,kg$ at rest on a horizontal rough plane ( $ \mu =0.1 $ and $ g=9.8\,m{{s}^{2}} $ ) is
If the $m^{th}$ term and the nth term of an $AP$ are respectively $\frac{1}{n}$ and $\frac{1}{m}$, then the $(mn )^{th}$ term of the $AP$ is
The coefficient of $ x^{-10}$ in $\left(x^{2} - \frac{1}{x^{3}}\right)^{10}$ is
The value of $\left(1-\omega+\omega^{2}\right)^{5} + \left(1+\omega -\omega^{2}\right)^{5}, $ where $\omega$ and $\omega^2$ are the complex cube roots of unity, is
The number of ways four boys can be seated around a round-table in four chairs of different colours is
The function $f(x ) = xe^{1-x}$ is
In a given shell the order of screening effect is
In transforming $0.01$ mole of $PbS$ to $PbSO _{4}$, the volume of ' $10$ volume' $H _{2} O _{2}$ required will be
A shell of mass $10\, kg$ is moving with a velocity of $ 10\,ms^{-1}$ when it blasts and forms two parts of mass $9 \,kg$ and $1 \,kg$ respectively. If the $1^{st}$ mass is stationary, the velocity of the $ 2^{nd} $ is
The differential equation of the family of curves $y = e^{2x} (a \,\cos\, x + b \,\sin\, x)$, where $a$ and $b$ are arbitrary constants, is given by
Anterior choroid plexus is present on the
A condition where a certain gene is present in only a single copy in a diploid cell is called.
A detritivorus animal of economic importance is
The equivalent resistance between the points $A$ and $B$ will be (each resistance is 15 $\Omega$)
A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is $T$. With what acceleration should the lift be accelerated upwards in order to reduce its period to $T/2$ ? (g is acceleration due to gravity).
The magnetic field at the centre of a circular current carrying conductor of radius $r$ is $B_c$. The magnetic field on its axis at a distance $r$ from the centre is $B_a$. The value of $B_c : B_a$ will be
Amines behave as
An element with atomic number $21$ is a
The number of solutions for the equation $Sin\, 2x + Cos \; 4x = 2$ is
The remainder when $3^{100} \times 2^{500}$ is divided by $5$ is
If the matrix $\begin{bmatrix}a&b\\ c&d\end{bmatrix}$ is commutative with the matrix $\begin{bmatrix}1&1\\ 0&1\end{bmatrix}$, then
Human egg is
Which of the following is an agrostologic method of soil conservation ?