List of top Questions asked in BITSAT

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 = $

A body starts from rest and moves with constant acceleration. If it covers a distance of $ 40 \, \text{m} $ in 4 seconds, then its acceleration is:

Evaluate the integral: $$ \int_0^{\pi/4} \frac{\ln(1 + \tan x)}{\cos x \sin x} \, dx $$

A 2 kg object is moving with a velocity of 5 m/s on a frictionless surface. It collides elastically with a stationary object of mass 3 kg. Find the velocity of the 3 kg object after the collision.

How many moles of oxygen are required to completely combust 1 mole of propane (C$_3$H$_8$)?

Which of the following has the greatest electronegativity?

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

If $ \vec{a} = \hat{i} + 2\hat{j} - \hat{k} $, $ \vec{b} = 2\hat{i} - \hat{j} + 3\hat{k} $, and $ \vec{c} = -\hat{i} + 3\hat{j} + 2\hat{k} $, find $ \vec{a} \cdot (\vec{b} \times \vec{c}) $.

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

Statement: All flowers are beautiful. Some beautiful things are fragile.
Conclusion I: Some flowers are fragile.
Conclusion II: All beautiful things are flowers.

The rate of a reaction doubles when the temperature is increased by 10°C. What is the approximate value of the activation energy?

A simple pendulum has a time period of 2 s on Earth's surface. What is its time period at a height equal to the Earth's radius (R)? (Acceleration due to gravity at height h is $ g_h = \frac{g}{(1 + h/R)^2} $).

Find the value of $ \sin 75^\circ \cos 15^\circ + \cos 75^\circ \sin 15^\circ $.

If the sum of the first $ n $ terms of an arithmetic progression is given by $ S_n = 3n^2 + 5n $, find the first term $ a $ and common difference $ d $.