List of top Questions asked in Birla Institute of Technology & Science Admission Test- 2024

The electrostatic force \( \mathbf{F_1} \) and magnetic force \( \mathbf{F_2} \) acting on a charge \( q \) moving with velocity \( v \) can be written as:
There are two long co-axial solenoids of the same length \( l \). The inner and outer coils have radii \( r_1 \) and \( r_2 \) and the number of turns per unit length \( n_1 \) and \( n_2 \), respectively. The ratio of mutual inductance to the self-inductance of the inner coil is:
A rectangular loop of length \( 2.5 \) m and width \( 2 \) m is placed at \( 60^\circ \) to a magnetic field of \( 4 \) T. The loop is removed from the field in \( 10 \) sec. The average emf induced in the loop during this time is:

Find the average value of the current shown graphically from \( t = 0 \) to \( t = 2 \) s. 
 

In an AC circuit, an inductor, a capacitor, and a resistor are connected in series with \( X_L = R = X_C \). The impedance of this circuit is:
An alternating voltage \( V(t) = 220 \sin 100\pi t \) volt is applied to a purely resistive load of \( 50\Omega \). The time taken for the current to rise from half of the peak value to the peak value is:
A parallel plate capacitor consists of two circular plates of radius \( R = 0.1 \) m. They are separated by a short distance. If the electric field between the capacitor plates changes as: \[ \frac{dE}{dt} = 6 \times 10^{13} \frac{V}{m \cdot s} \] then the value of the displacement current is:
Electromagnetic waves travel in a medium with speed \( 1.5 \times 10^8 \) m/s. The relative permeability of the medium is \( 2.0 \). The relative permittivity will be:
Power of a biconvex lens is \( P \) diopter. When it is cut into two symmetrical halves by a plane containing the principal axis, the ratio of the power of two halves is:
The magnifying power of a telescope is \( 9 \). When adjusted for parallel rays, the distance between the objective and eyepiece is 20 cm. The ratio of the focal length of the objective lens to the focal length of the eyepiece is:
In which mode of expression, the concentration of a solution remains independent of temperature?
The degeneracy of hydrogen atom that has energy equal to \(-\frac{R_H}{9}\) is (where \( R_H \) = Rydberg constant)
If the de-Broglie wavelength of a particle of mass (\( m \)) is 100 times its velocity, then its value in terms of its mass (\( m \)) and Planck constant (\( h \)) is:
The energy of the second orbit of a hydrogen atom is \( -5.45 \times 10^{-19} \) J. What is the energy of the first orbit of \( Li^{2+} \) ion (in J)?
A stream of electrons from a heated filament was passed between two charged plates at a potential difference \( V \) volt. If \( e \) and \( m \) are the charge and mass of an electron, then the value of \( \frac{h}{\lambda} \) is:
The ionic radii in (\({Å}\)) of \({N}^{3-}\), \({O}^{2-}\) and \({F}^-\) are respectively.
Intramolecular hydrogen bonding is found in
The hybridisation scheme for the central atom includes a d-orbital contribution in
The spin only magnetic moment of Fe\(^{3+}\) ion (in BM) is approximately.
Which one of the following compounds is having maximum 'lone pair-lone pair' electron repulsions?
Identify the species having one \(\pi\)-bond and maximum number of canonical forms from the following:
sp\(^3\) d\(^2\) hybridisation is not displayed by:

What would be the amount of heat absorbed in the cyclic process shown below? 
 

The bond dissociation energy of X\(_2\), Y\(_2\) and XY are in the ratio of 1 : 0.5 : 1. \(\Delta H\) for the formation of XY is -200 kJ/mol. The bond dissociation energy of X\(_2\) will be
Which of the following relation is not correct?