List of top Questions asked in BITSAT

The force between two small charged spheres having charges of \( 1 \times 10^{-7} \) C and \( 2 \times 10^{-7} \) C placed 20 cm apart in air is:
Simplify \( i^{57} + \frac{1}{i^{25}} \) and find its value:

A thermodynamic system is taken through a cyclic process as shown in the PV diagram. The total work done in the process is: 

For the separation of two immiscible liquids, which method is used?

The range of the function \( f(x) = \sqrt{3x^2 - 4x + 5} \) is: 
 

Which of the following pairs will form the most stable ionic bond?
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:
If \( \vec{a} = \hat{i} + \hat{j} + \hat{k} \), \( \vec{a} \cdot \vec{b} = 1 \) and \( \vec{a} \times \vec{b} = \hat{j} - \hat{k} \), then \( \vec{b} \) is:
The free space inside a current carrying toroid is filled with a material of susceptibility \( \chi = 2 \times 10^{-2} \). The percentage increase in the value of magnetic field inside the toroid will be:

Among the given halides, which one will give the same product in both S\(_N1\) and S\(_N2\) reactions? 

Among the ligands \( {NH}_3, \, {en}, \, {CN}^-, \, {CO} \), the correct order of their increasing field strength 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?

Plots showing the variation of the rate constant (k) with temperature (T) are given below. The plot that follows the Arrhenius equation is:

How much ethyl alcohol must be added to 1 litre of water so that the solution will freeze at \(-14^\circ \text{C}\)? 

(Kf for water = 1.86 °C/mol)

Which of the following will precipitate first when an aqueous solution containing sulphate ions is added?
Melamine plastic crockery is a copolymer of:
If \( y = \sqrt{\frac{1 + \cos 2\theta}{1 - \cos 2\theta}} \), then \( \frac{dy}{d\theta} \) at \( \theta = \frac{3\pi}{4} \) is:

The energy levels of an atom are shown in the figure. Which one of these transitions will result in the emission of a photon of wavelength 124.1 nm? Given \( h = 6.62 \times 10^{-34} \) Js. 

The Bohr orbit radius for the hydrogen atom (\(n = 1\)) is approximately 0.530 \({Å}\). The radius for the first excited state (\(n = 2\)) 
orbit is (in \({Å}\)): 
 

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:
Frenkel and Schottky defects are:

Select the figure from among the given Option that can replace the question mark (?) in the following series. 

Identify the Venn diagram that best represents the relationship among classes given below: Profit, Dividend, and Bonus.

How many triangles are there in the following figure? 
 

If 'when' means ' x ', 'you' means ' ÷ ', 'come' means '-' and 'will' means '+', then what will be the value of `` 8 when 12 will 16 you 2 come 10" = ?