List of top Questions asked in BITSAT

Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?
Evaluate the integral: $$ \int_0^{\pi/4} \frac{\ln(1 + \tan x)}{\cos x \sin x} \, dx $$
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)
Find the derivative of \( y = \sin(x^2) \) with respect to \( x \).
The rate of a reaction doubles when the temperature is increased by 10°C. What is the approximate value of the activation energy?
The electric field at a point on the axis of a uniformly charged ring of radius R at a distance x from its center is given by: \[ E = \frac{1}{4\pi\epsilon_0} \cdot \frac{2\pi kQx}{(x^2 + R^2)^{3/2}}. \] If x = 2R, what is the magnitude of the electric field?
What is the value of \( \sin 30^\circ \)?
Which of the following has the greatest electronegativity?
Which of the following is the correct unit for electric charge?
A car accelerates from rest to a speed of 20 m/s in 10 seconds. What is its acceleration?
Which of the following is a non-metal?
The roots of the equation \( x^2 + 5x + 6 = 0 \) are:
The number of significant figures in the measurement 0.00456 is:

Which of the following is the correct electronic configuration for \( \text{Oxygen (O)} \)?

Which of the following is an example of a scalar quantity?
The equation of a straight line is given by \( y = 3x + 4 \). What is the slope of the line?
A bag contains 5 red, 3 blue, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both are red?
Calculate the electric field at a point due to a uniformly charged spherical shell.
The area enclosed between the curve \(y = \log_e(x + e)\) and the coordinate axes is:
A source supplies heat to a system at the rate of 1000 W. If the system performs work at a rate of 200 W, what is the rate at which internal energy of the system increases?
The work done by a gas during an isothermal expansion from 2 L to 4 L at a constant temperature, with pressure initially at 2 atm, is: (Use R = 8.314 J/mol·K, T = 300 K).

Solve for \( x \): 
\( \log_{10}(x^2) = 2 \).

A simple pendulum performing small oscillations at a height R above Earth's surface has a time period of \(T_1 = 4\) s. What would be its time period at a point which is at a height \(2R\) from Earth's surface?
What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?

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