List of top Questions asked in BITSAT

The interval in which the function \( f(x) = 4x^2 + x \) is decreasing is:
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:
The probability of getting a sum greater than 7 when a pair of dice are thrown is:

The probability density plots of 1s and 2s orbitals are given in figure. 

 

The density of dots in a region represents the probability density of finding electrons in the region. On the basis of the above diagram, which of the following statements is incorrect?

Among the ligands \( {NH}_3, \, {en}, \, {CN}^-, \, {CO} \), the correct order of their increasing field strength is:
Why did the time period of rotation of Earth decrease by microseconds after the Japan 2011 earthquake?
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 \( \pi = \frac{22}{7} \)):
The area enclosed between the curve \( y = \log_e(x + e) \) and the coordinate axes is:

An object moves with speed \( v_1 \), \( v_2 \), and \( v_3 \) along a line segment \( AB \), \( BC \), and \( CD \) respectively as shown in the figure. Where \( AB = BC \) and \( AD = 3 AB \), then the average speed of the object will be: 

Kinetic theory of gases proves:
If \[ A = \begin{bmatrix} 0 & 2 \\ 3 & -4 \end{bmatrix} \] and \[ kA = \begin{bmatrix} 0 & 3a \\ 2b & 24 \end{bmatrix}, \] then the values of \( k \), \( a \), and \( b \) respectively are:
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:
What is the angle between the two straight lines \( y = (2 - \sqrt{3})x + 5 \) and \( y = (2 + \sqrt{3})x - 7 \)?
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:
Plots showing the variation of the rate constant (k) with temperature (T) are given below. The plot that follows the Arrhenius equation is:
A 100m long wire having cross-sectional area \( 6.25 \times 10^{-4} \, {m}^2 \) and Young's modulus is \( 10^{10} \, {Nm}^{-2} \) is subjected to a load of 250N, then the elongation in the wire will be:
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?
Negation of the Boolean expression \( p \Leftrightarrow (q \Rightarrow p) \) is:
A particle of mass \( m \) moving with velocity \( v \) collides with a stationary particle of mass \( 2m \). After the collision, they stick together and continue to move with velocity:
If \( f(x) = \frac{x}{\sqrt{1 + x^2}} \), then \( (f \circ f)(x) \) is:
A charged particle is moving in a uniform magnetic field \( \mathbf{B} = 2\hat{i} + 3\hat{j} \) T. If it has an acceleration of \( \mathbf{a} = \alpha\hat{i} - 4\hat{j} \) m/s², then the value of \( \alpha \) will be:
If one root of the equation \( x^2 + px + 12 = 0 \) is \( 4 \), while the equation \( x^2 + px + q = 0 \) has equal roots, then the value of \( q \) is:
The work done in placing a charge of \( 8 \times 10^{-18} \) coulomb on a capacitor of capacitance 100 microfarad is:
The middle term in the expansion of \( \left(\frac{10}{x} + \frac{x}{10}\right)^{10} \) is:
In a Young's double slit experiment, the intensities at two points, for the path difference \( \frac{\lambda}{4} \) and \( \frac{\lambda}{3} \) (\( \lambda \) being the wavelength of light used) are \( I_1 \) and \( I_2 \) respectively. If \( I_0 \) denotes the intensity produced by each one of the individual slits, then \( \frac{I_1 + I_2}{I_0} \) is equal to: