List of top Questions asked in BITSAT

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: 

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:
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?
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:
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 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:
The work done in placing a charge of \( 8 \times 10^{-18} \) coulomb on a capacitor of capacitance 100 microfarad is:
The resistance of a wire is \( 5 \Omega \). What will be its new resistance in ohms if stretched to 5 times its original length?
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:

A proton (\( p \)) and an electron (\( e \)) will have the same de-Broglie wavelength when the ratio of their momenta is 
(Assume \( m_p = 1849 m_e \)):

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

In a reflecting telescope, a secondary mirror is used to:
The magnetic moment of an electron (e) revolving in an orbit around the nucleus with an orbital angular momentum is given by:
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:
A bicycle tire is filled with air at a pressure of \( 270 \) kPa at \( 27^\circ C \). What is the approximate pressure of the air in the tire when the temperature increases to \( 36^\circ C \)?
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:
Electric field in a certain region is given by \( \vec{E} = \left( \frac{A}{x^2} \hat{i} + \frac{B}{y^3} \hat{j} \right) \). The SI unit of A and B are:
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:
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:
Which of the following Maxwell's equations is valid for time varying conditions but not valid for static conditions:
In an LC oscillator, if the values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of the oscillator becomes \( x \) times its initial resonant frequency \( \omega_0 \). The value of \( x \) is:
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:
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 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:
The ratio of the speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is: