List of practice Questions

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?
The standard Gibbs energy (\( \Delta G^{\circ} \)) for the following reaction is \[ A(s) + B^{2+}(aq) \rightleftharpoons A^{2+}(aq) + B(s), \quad K_c = 10^{12} \, {at} \] (Kc = equilibrium constant)
If \( \bar{a} = -4\bar{i} + 2\bar{j} + 4\bar{k} \), \( \bar{b} = \sqrt{2} \bar{i} - \sqrt{2} \bar{j} \) are two vectors, then the angle between the vectors \( 2\bar{a} \) and \( \frac{\bar{b}}{2} \) is:
Choose the correct option for free expansion of an ideal gas under adiabatic condition from the following:
Le-Chatelier's principle is not applicable to
The ratio \( \frac{K_p}{K_c} \) for the reaction \[ {CO}(g) + \frac{1}{2} {O}_2(g) \rightleftharpoons {CO}_2(g) \] is:
The pH of 1 N aqueous solutions of HCl, CH$_3$COOH and HCOOH follows the order:
20 mL of 0.1 M acetic acid is mixed with 50 mL of potassium acetate. \( K_a \) of acetic acid \( = 1.8 \times 10^{-5} \) at 27°C. Calculate the concentration of potassium acetate if the pH of the mixture is 4.8.