List of top Questions asked in BITSAT

General formula of solid in zinc blende structure is:

What is the slope of the normal at the point (at, 2at) of the parabola y = 4ax ?

In the reaction $2 PCl _{5} \rightleftharpoons PCl _{4}^{+}+ PCl _{6}^{-}$, the change in hybridisation is from

The coefficient of $x^2$ term in the binomial expansion of $\left(\frac{1}{3}x^{1/2}+x^{-1/4}\right)^{10}$ is :

With the usual notation $\displaystyle \int_1^2 ([x^2]-[x]^2)dx$ is equal to

For the following feasible region, the linear constraints are

Water is flowing through a horizontal tube having cross-sectional areas of its two ends beings $A$ and $A$' such that the ratio $A/A$' is $5$. If the pressure difference of water between the two ends is $3 \times 10^5\, N m^{-2}$, the velocity of water with which it enters the tube will be (neglect gravity effects)

Which one of the following graphs represents the variation of electric field with distance $r$ from the center of a charged spherical conductor of radius $R$?

Electric potential at any point is $V = - 5x + 3y + \sqrt {15 z}, $then the magnitude of the electric field is

The number of ways in which first, second and third prizes can be given to $5$ competitors is

$\displaystyle\lim_{x\to0} \sqrt{\frac{x-\sin x}{x+\sin^{2}x}} $ is equal to

The coefficient of $x^3$ in the expansion of $\left(x -\frac{1}{x}\right)^{7}$ is :

The value of $\displaystyle\lim_{n \to\infty} \frac{1+2+3+...n}{n^{2}+100}$ is equal to :

If $ \hat{i} + \hat{j}, \hat{j} + \hat{k}, \hat{i} + \hat{k}$ are the position vectors of the vertices of a triangle $ABC$ taken in order, then $\angle A$ is equal to

The equation of the circle which passes through the point $(4, 5)$ and has its centre at $(2, 2)$ is

In how many ways can $12$ gentlemen sit around a round table so that three specified gentlemen are always together?

Eccentricity of ellipse $\frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1 $ if it passes through point $(9, 5)$ and $(12, 4)$ is

If $a, b, c$ are in G.P., then

If $A = \frac{1}{3} \begin{bmatrix}1&2&2\\ 2&1&-2\\ a&2&b\end{bmatrix} $ is an orthogonal matrix, then

Beryllium shows diagonal relationship with aluminium. Which of the following similarity is incorrect ?

Chloroform, $CHCl _{3}$, boils at $61.7^{\circ} C$. If the $K_{b}$ for chloroform is $3.63^{\circ} C / molal$, what is the boiling point of a solution of $15.0\, kg$ of $CHCl _{3}$ and $0.616\, kg$ of acenaphthalene, $C _{12} H _{10}$ ?

If $V$ is the volume of one molecule of gas under given conditions, the van der Waal?s constant $b$ is

For the reaction taking place at certain temperature ${NH_2 COONH_4 (s) <=> 2NH_3 (g) + CO_2 (g) }$, if equilibrium pressure is 3X bar then $ \Delta_G$ would be

The pH of $0.1\, M$ solution of the following salts increases in the order :