List of top Questions asked in BITSAT- 2023

A particle executes Simple Harmonic Motion (SHM) with amplitude \( A \). The distance from the mean position when its kinetic energy becomes equal to its potential energy is:
The work done in placing a charge of \( 8 \times 10^{-18} \) coulomb on a capacitor of capacitance 100 microfarad is:
The magnetic moment of an electron (e) revolving in an orbit around the nucleus with an orbital angular momentum is given by:
The reaction that does NOT take place in a blast furnace between 900K to 1500K temperature range during extraction of iron is:
If 1000 droplets of water of surface tension \( 0.07 \). having same radius 1mm each, combine to from a single drop. In the process the released surface energy is-
(Take \( \pi = \frac{22}{7} \)):

A disc is rolling without slipping on a surface. The radius of the disc is \( R \). At \( t = 0 \), the topmost point on the disc is \( A \) as shown in the figure. When the disc completes half of its rotation, the displacement of point \( A \) from its initial position is: 

In a given code, SISTER is coded as 535301, UNCLE as 84670, and BOY as 129. How is RUSTIC written in that code?
Which method is useful for the synthesis of ether?

x=logp and y=1/p differential equation

The function \( f(x) = \tan^{-1}(\sin x + \cos x) \) is an increasing function in:
In the laboratory, manganese (II) salt is oxidized to permanganate ion in aqueous solution by:
At any instant the velocity of a particle of mass 500g is \( \left( 2t \hat{i} + 3t^2 \hat{j} \right) \, \text{ms}^{-1} \). If the force acting on the particle at \( t = 1 \) s is \( \left( \hat{i} + x \hat{j} \right) \, \text{N} \), then the value of \( x \) will be:
Ionic hydrides react with water to give:
Bag P contains 6 red and 4 blue balls, and bag Q contains 5 red and 6 blue balls. A ball is transferred from bag P to bag Q and then a ball is drawn from bag Q. What is the probability that the ball drawn is blue?
Find the value of \[ \tan^{-1}\left(\frac{1}{4}\right) + \tan^{-1}\left(\frac{2}{9}\right) \]
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:
The \( {S} - {S} \) bond is not present in:
The area enclosed between the curve \( y = \log_e(x + e) \) and the coordinate axes is:

Solution of \( 2^x + 2^{|x|} \geq 2\sqrt{2} \) is:

What is the angle between the two straight lines \( y = (2 - \sqrt{3})x + 5 \) and \( y = (2 + \sqrt{3})x - 7 \)?
In a reflecting telescope, a secondary mirror is used to:
The curve given by \( x + y = e^{xy} \) has a tangent parallel to the Y-axis at the point:
Which named reaction contains dichlorocarbene intermediate?
The shortest distance between the lines \[ \frac{x - 3}{2} = \frac{y - 2}{3} = \frac{z - 1}{-1} \] and \[ \frac{x + 3}{2} = \frac{y - 6}{1} = \frac{z - 5}{3} \] is:
Among the ligands \( {NH}_3, \, {en}, \, {CN}^-, \, {CO} \), the correct order of their increasing field strength is: