List of top Questions asked in BITSAT

If $f\left(x\right) = \cos^{-1} \left[\frac{1-\left(\log x\right)^{2}}{1+\left(\log x\right)^{2}}\right] $ then the value of $f'(e)$ is equal to

If $\displaystyle\sum^n_{R = 0} (-1)^r \; \frac{^{n}C_{r}}{^{r+3}C_{r}} = \frac{3}{a+3} $ , then a - n is equal to

After two hours, one-sixteenth of the starting amount of a certain radioactive isotope remained undecayed. The half life of the isotope is

$2^{1/4}. 2^{2/8}. 2^{3/16}. 2^{4/32}......\infty$ is equal to-

Two plano-concave lenses $(1$ and $2)$ of glass of refractive index $1.5$ have radii of curvature $25 \,cm$ and $20 \,cm$. They are placed in contact with their curved surface towards each other and the space between them is filled with liquid of refractive index $4/3$. Then the combination is

A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of $9 \,kg$ is suspended from the wire. When this mass is replaced by a mass $M$, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of $M$

Correct formula of the complex formed in the brown ring test for nitrates is

The equation of one of the common tangents to the parabola $y^{2}=8 x$ and $x^{2}+y^{2}-$

A capillary tube of radius $R$ is immersed in water and water rises in it to a height $H$. Mass of water in the capillary tube is $M$. If the radius of the tube is doubled, mass of water that will rise in the capillary tube will now be :

The number of roots of equation $\cos \, x + \cos \, 2x + \cos \, 3x = 0$ is $(0 \le x \le 2 \pi )$.

Which of the following does not contain Plane of symmetry?

For the reaction $CO ( g )+\frac{1}{2} O _{2}( g ) \rightarrow CO _{2}( g )$ Which one of the statement is correct at constant $T$ and $P$ ?

For the reaction $H _{2}( g )+ Br _{2}( g ) \rightarrow 2 HBr ( g )$, the experiment data suggested that $r = k \left[ H _{2}\right]\left[ Br _{2}\right]^{1 / 2} .$ The molecularity and order of the reaction are respectively:

Given the system of straight lines a $(2x + y - 3) + b(3x + 2y - 5) = 0$, the line of the system situated farthest from the point $(4, -3)$ has the equation

An urn contains five balls. Two balls are drawn and found to be white. The probability that all the balls are white is

Let $\vec{a}, \vec{b}$ & $\vec{c}$ be non-coplanar unit vectors equally inclined to one another at an acute angle $\theta$. Then $| [ \vec{a} \; \vec{b} \; \vec{c}] |$ in terms of $\theta$ is equal to

If $x$ is real number, then $\frac{x}{x^{2}-5 x+9}$ must lie between

IF $f\left(z\right) = \frac{7-z}{1-z^{2}} $ , where $z = 1 + 2i$, then $|f(z)|$ is equal to :

A mercury drop of radius $1 \,cm$ is sprayed into $10^{6}$ drops of equal size. The energy expended in joule is (surface tension of mercury is $460 \times 10^{-3}\,N / m$ ):

The length of the semi-latus rectum of an ellipse is one thrid of its major axis, its eccentricity would be

When a metal surface is illuminated by light of wavelengths $400\, nm$ and $250\,nm$, the maximum velocities of the photoelectrons ejected are $V$ and $2 V$ respectively. The work function of the metal is

On a hypotenuse of a right prism $\left(30^{\circ}-60^{\circ}-90^{\circ}\right)$ of refractive index $1.50$, a drop of liquid is placed as shown in figure. Light is allowed to fall normally on the short face of the prism. In order that the ray of light may get totally reflected, the maximum value of refractive index is :

Steel wire of length ' $L$ ' at $40^{\circ} C$ is suspended from the ceiling and then a mass ' $m$ ' is hung from its free end. The wire is cooled down from $40^{\circ} C$, to $30^{\circ} C$ to regain its original length '$L$'. The coefficient of linear thermal expansion of the steel is $10^{-5} /{ }^{\circ} C$, Young's modulus of steel is $10^{11} \,N / m ^{2}$ and radius of the wire is $1 \,mm$. Assume that $L \gg$ diameter of the wire. Then the value of ' $m$ ' in $kg$ in nearly.