List of top Questions asked in KCET, WBJEE

If the area of the parallelogram with \(\vec {a}\) and \(\vec {b}\) as two adjacent sides is \(15\, sq.\space units\),then the area of the parallelogram having \(3\vec {a}+2\vec {b}\) and \(\vec{a}+3\vec {b}\) as two adjacent sides in sq. unit is
The specific charge of a proton is $9.6 \times 10^7 \, C \, kg^{-1}$. The specific charge of an alpha particle will be :
A simple pendulum has a length $l$ and the mass of the bob is $m$. The bob is given a charge $q$ coulomb. The pendulum is suspended between the vertical plates of a charged capacitor. If $E$ is electric field strength between the plates, the time period of pendulum is given by
If $a > b > 0$, then the value of $Tan^{-1} \left(\frac{a}{b}\right)+Tan^{-1}\left(\frac {a+b}{a-b}\right) $
The remainder obtained when $(\lfloor 1)^2 + (\lfloor 2)^2 + (\lfloor 3)^2 + ... + (\lfloor 100)^2$ is divided by $10^2$ is ;
Identify from the following, the only taxonomic category that has a real existence.
About 1000 ml of air is always known to remain inside human lungs. It is described as ______
Cells obtained from an organism were homogenised and centrifuged. A test indicated that the cells contained glycogen. If you were asked to find out as quickly as possible whether the cells were from a plant or an animal, you would
A rectangular vessel when full of water, takes $10$ minutes to be emptied through an orifice in its bottom. How much time will it take to be emptied when half filled with water ?
A solenoid $1.5\, m$ long and $0.4\, cm$ in diameter possesses $10$ turns per cm length. A current of $5\, A$ flows through it. The magnetic field at the axis inside the solenoid is
An unpolarised beam of intensity $I_0$ is incident on a pair of nicols making an angle of $60^\circ$ with each other. The intensity of light emerging from the pair is
The major event that occurs during the anaphase of mitosis which brings about equal distribution of chromosomes is
The main function of lacteals in the villi of human small intestine is the absorption of________
In the operon system, the repressor protein can bind only with the
If the angles of a triangle are in the ratio $3 : 4 : 5$, then the sides are in the ratio
Which of the following birth control measures can be considered as the safest ?
Passive absorption of water by root system is the result of
In the homeostatic control of blood sugar level, which organs function respectively as modulator and effector ?
The chemical nature of gibberellin is that they are
Two pea plants were subjected cross pollination. Of the 183 plants produced in the next generation, 94 plants were found to be tall and 89 plants were found to be dwarf. The genotypes of the two parental plants are likely to be
In the synthesis of which of the following, the DNA molecule is not directly involved ?
The following diagrams show the types of secondary thickenings in the xylem vessels. Identify the types labelled from A to F. Choose the correct option from those given.
Inductive effect involves
If $\lambda_{1}$ and $\lambda_{2}$ are the wavelengths of the first members of the Lyman and Paschen series respectively, then $\lambda_{1}: \lambda_{2}$ is
The following is a diagram of the just spawned frog's egg, with the parts labelled from A to E. Identify the parts and choose the correct option from those given below