List of top Questions asked in BITSAT

An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of descent will be equal to: [Use $ g = 10 $ ms$^{-2}$]

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.

The absolute configuration of:

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

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

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:

Which hydride among the following is less stable?

Pick the correct statement about electron and photon:

The one giving maximum number of isomeric alkenes on dehydrohalogenation reaction is (excluding rearrangement):

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)

A man of mass $m$ starts falling towards a planet of mass $M$ and radius $R$. As he reaches near to the surface, he realizes that he will pass through a small hole in the planet. As he enters the hole, he sees that the planet is really made of two pieces: a spherical shell of negligible thickness of mass $3M/4$ and a point mass $M/4$ at the centre. Change in the force of gravity experienced by the man 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

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

If $ A = 1 + r^a + r^{2a} + r^{3a} + \cdots \infty $ and $ B = 1 + r^b + r^{2b} + r^{3b} + \cdots \infty $, then $ a/b $ is equal to

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:

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 = $

The pH of a solution is 3. What is the concentration of hydrogen ions in this solution?

A dust particle of mass 4 × 10⁻¹² mg is suspended in air under the influence of an electric field of 50 N/C directed vertically upwards. How many electrons were removed from the neutral dust particle? (g = 10 m/s²)

The 5th term of an AP is 20 and the 12th term is 41. Find the first term.

A first-order reaction is 25% complete in 30 minutes. How much time will it take for the reaction to be 75% complete?

The area enclosed between the curve $y = \log_e(x + e)$ and the coordinate axes is:

The equation of the line passing through the point $ (2, 3) $ and making equal intercepts on the coordinate axes is:

Find the determinant of the matrix $ A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix} $.

A Carnot engine operates between temperatures of $ 600 \, \text{K} $ and $ 300 \, \text{K} $. If it absorbs $ 900 \, \text{J} $ of heat from the source, how much work does it perform?

Rearrange the following parts to form a meaningful sentence:
P. technological advancement
Q. has led to
R. in many fields
S. a significant leap