List of top Questions asked in BITSAT

What is the IUPAC name of the compound: CH$_3$ – CH$_2$ – CH(CH$_3$) – CH$_2$ – CH$_3$

The absolute configuration of:

An ideal spring with spring-constant $k$ is hung from the ceiling and a mass $M$ is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is

The locus of the mid-point of a chord of the circle $ x^2 + y^2 = 4 $, which subtends a right angle at the origin is

The variance of 20 observations is 5. If each observation is multiplied by 2, then the new variance of the resulting observation is

If the system of linear equations $ 2x + y - z = 7 $, $ x - 3y + 2z = 1 $, $ x + 4y + \delta z = k $ (where $\delta, k \in \mathbb{R}$) has infinitely many solutions, then $\delta + k$ is equal to:

Let $ f(x) = \sin x $, $ g(x) = \cos x $, $ h(x) = x^2 $ then
\[ \lim_{x \to 1} \frac{f(g(h(x))) - f(g(h(1)))}{x - 1} = \]

If $ A = \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix} $, $ P = \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix} $ and $ X = A P A^T $, then $ A^T X^{50} A = $

A steel rod of diameter 1.0 cm is clamped firmly at each end when its temperature is 25°C so that it cannot contract on cooling. The tension in the rod at 0°C is ($\alpha = 1 \times 10^{-5} /^\circ$C, $Y = 2 \times 10^{11}$ N/m²)

Half-life of zero order reaction $ A \to $ product is 1 hour, when initial concentration of reactant is 2.0 mol L$^{-1}$. The time required to decrease concentration of A from 0.50 to 0.25 mol L$^{-1}$ is:

In a mixture of gases, the average number of degrees of freedom per molecule is 6. The rms speed of the molecule of the gas is $c$, then the velocity of sound in the gas is

Which hydride among the following is less stable?

Five identical springs are used in the three configurations as shown in figure. The time periods of vertical oscillations in configurations (a), (b) and (c) are in the ratio.