List of top Questions asked in BITSAT

If \( \int \frac{e^x (1 + \sin x)}{1 + \cos x} \, dx = e^x f(x) + C \), then \( f(x) \) is equal to:
Simplify \( i^{57} + \frac{1}{i^{25}} \) and find its value:
Evaluate the integral: \[ I = \int \frac{x + 3}{(x + 4)^2} e^x \,dx \]
A circle touches both the y-axis and the line \( x + y = 0 \). Then the locus of its center is:
The conductivity of a weak acid HA of concentration 0.001 mol L\(^{-1}\) is \( 2.0 \times 10^{-5} \, \text{S cm}^{-1} \). If \( \Lambda_m^\circ ({HA}) = 190 \, \text{S cm}^2 \text{mol}^{-1} \), the ionization constant (\( K_a \)) of HA is equal to _______ \( \times 10^{-6} \).

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: 

Identify the Venn diagram that best represents the relationship among classes given below: Profit, Dividend, and Bonus.
Number of words from the letters of the word BHARAT in which B and H will never come together 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:
Which one of the following molecular hydrides acts as a Lewis acid?

Which letter will come at the place of question mark (?) 

Which of the following pairs will form the most stable ionic bond?
The ratio of intensities at two points \( P \) and \( Q \) on the screen in a Young's double-slit experiment, where the phase difference between two waves of the same amplitude are \( \frac{\pi}{3} \) and \( \frac{\pi}{2} \), respectively, is:
Why did the time period of rotation of Earth decrease by microseconds after the Japan 2011 earthquake?
Two planets \( A \) and \( B \) have radii \( R \) and \( 1.5R \), and densities \( \rho \) and \( \frac{\rho}{2} \) respectively. The ratio of acceleration due to gravity at the surface of \( B \) to \( A \) 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:
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:
A conducting loop of radius \( \frac{10}{\sqrt{\pi}} \) cm is placed perpendicular to a uniform magnetic field of 0.5T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25s is:
The effect of an increase in temperature on the number of electrons in the conduction band (\( n_e \)) and the resistance of a semiconductor will be as follows:
The resistance of a wire is \( 5 \Omega \). What will be its new resistance in ohms if stretched to 5 times its original length?
Frenkel and Schottky defects are:
The ratio of average electric energy density and total average energy density of an electromagnetic wave is:
If work done on a body is positive, then what will be the sign of kinetic energy?
A radioactive material is reduced to \( \frac{1}{8} \) of its original amount in 3 days. If \( 8 \times 10^{-3} \) kg of the material is left after 5 days, what was the initial amount of the material?
Which of the following Maxwell's equations is valid for time varying conditions but not valid for static conditions: