List of top Questions asked in BITSAT

If the Planck?s constant $h = 6.6 \times 10^{-34} \, Js$, the de Broglie wavelength of a particle having momentum of $3.3 \times 10^{-24} \, kg \, ms^{-1}$ will be

In a binomial distribution, the mean is $4$ and variance is $3$. Then its mode is :

The ratio of the specific heats of a gas is $\frac{C_p}{C_v} = 1.66$, then the gas may be

Amongst the elements with following electronic configurations, which one of them may have the highest ionization energy?

If $x > 0,$ the $ 1 + \frac{\log_{e^{2}}x}{1!} + \frac{\left(\log_{e^{2}}x\right)^{2}}{2!} + ....=$

Consider the equation of a parabola $y^2 + 4ax = 0$, where $a > 0$ which of the following is/are correct?

If the constraints in a linear programming problem are changed then

\(\int \frac{e^{x^2}\left(2x+x^{3}\right)}{\left(3+x^{2}\right)^{2}} dx\)  is equal to :

Following are colours shown by some alkaline earth metals in flame test. Which of the following are not correctly matched?

Let $y = e^{2x}$ . Then $\left(\frac{d^{2}y}{dx^{2}}\right) \left(\frac{d^{2}x}{dy^{2}}\right) $ is

Number of solutions of equation $\sin 9 \theta=\sin \theta$ in the interval $[0,2 \pi]$ is

pH of a $0.1\, M$ monobasic acid is found to be $2$. Hence, its osmotic pressure at a given temperature $TK$ is

The probability of getting $10$ in a single throw of three fair dice is :

The rate constant of a reaction is $1.5 \times 10^{-3}$ at $25^{\circ} C$ and $2.1 \times 10^{-2}$ at $60^{\circ} C$. The activation energy is

The sum $1+\frac{1+a}{2!} + \frac{1+a+a^{2}}{3!} + ... \infty $ is equal to

If $R\left(t\right) = \begin{bmatrix}\cos t&\sin t\\ -\sin t&\cos t\end{bmatrix}$, then R(s) R(t) equals

Let A, B, C be finite sets. Suppose that $n(A)=10, n(B)=15, n$ $(C)=20, n(A \cap B)=8$ and $n(B \cap C)=9$. Then the possible value of $n ( A \cup B \cup C )$ is

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

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

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 $P$ ?

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

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 :